^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30714\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"15619\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30714\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It's ....Just like ORZ....</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30714 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30714 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30714\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30638\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Lepetrandr\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Lepetrandr\" title=\"Candidate Master Lepetrandr\" class=\"rated-user user-violet\">Lepetrandr</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/29/2011 22:01\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30638\" href=\"?#comment-30638\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30638\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"7\"\r\n data-commentUserId=\"1088\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+7</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30638\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In problem C we can consider only _prime_ divisors of n (at most 6 :), as number of vertices. But there is one tricky case that i've missed, unfortunately.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30638 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30638 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30638\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30686\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/sanchit_h\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14424/avatar/ccd3178dffd08856.jpg'/> </a>\n <div><a href=\"/profile/sanchit_h\" title=\"Expert sanchit_h\" class=\"rated-user user-blue\">sanchit_h</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/29/2011 23:12\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30686\" href=\"?#comment-30686\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30686\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"14424\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30686\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In problem E, can you explain what is a mask and its submasks ?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30686 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30686 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30686\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30687\" commentParentId=\"30686\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/kilotaras\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/3934/avatar/1f5f8ec32edbfcfd.jpg'/> </a>\n <div><a href=\"/profile/kilotaras\" title=\"Master kilotaras\" class=\"rated-user user-orange\">kilotaras</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/29/2011 23:15\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30687\" href=\"?#comment-30687\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30686\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"30687\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"30687\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"3934\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30687\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div align=\"left\"><a href=\"https://en.wikipedia.org/wiki/Mask_%28computing%29\">http://en.wikipedia.org/wiki/Mask_%28computing%29</a><br /></div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30687 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30687 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30687\">\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30688\" commentParentId=\"30686\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Ripatti\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Ripatti\" title=\"Master Ripatti\" class=\"rated-user user-orange\">Ripatti</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/29/2011 23:15\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30688\" href=\"?#comment-30688\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30686\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30688\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"472\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30688\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I will rewrite editorial more detail later.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30688 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30688 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30688\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30691\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lunae\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lunae\" title=\"Candidate Master lunae\" class=\"rated-user user-violet\">lunae</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/29/2011 23:29\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30691\" href=\"?#comment-30691\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"30691\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"30691\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2939\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30691\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">edit: I'm sorry that I didn't notice Lepetrandr's post.<br /><br />For (C) it suffices to check polygons with a prime number of sides (except for 2, then check 4), that gives O(log n) divisors to check.<br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30691 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30691 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30691\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30851\" commentParentId=\"30691\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/kamranm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/13373/avatar/bb36d6989328bef3.jpg'/> </a>\n <div><a href=\"/profile/kamranm\" title=\"Expert kamranm\" class=\"rated-user user-blue\">kamranm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/30/2011 21:08\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30851\" href=\"?#comment-30851\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30691\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30851\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"13373\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30851\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Yes , because if the - polygon with length equal to n - is regular , we can create another regular polygons which have the length of any prime divisors of n..but this number is not equal to log(n). This is equal to prime divisors of n.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30851 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30851 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30851\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30854\" commentParentId=\"30851\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ostroumov\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/9567/avatar/daf141c3784f573c.jpg'/> </a>\n <div><a href=\"/profile/ostroumov\" title=\"Expert ostroumov\" class=\"rated-user user-blue\">ostroumov</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/30/2011 21:43\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30854\" href=\"?#comment-30854\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30851\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30854\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"9567\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30854\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Number of prime divisors is about equal to ln (n) in case of big n.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30854 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30854 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30854\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30812\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/wil93\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14356/avatar/897f1996dfb7343b.jpg'/> </a>\n <div><a href=\"/profile/wil93\" title=\"Expert wil93\" class=\"rated-user user-blue\">wil93</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/30/2011 17:48\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30812\" href=\"?#comment-30812\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30812\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"14356\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30812\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In the first problem explanation there's a type error:<div><br /></div><div><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">If</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>L</i> > 10</span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">, output word without any changes, otherwise output the first letter, next</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>L</i> - 2</span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">and finally the last letter.</span></div><div><br /></div><div>Should be "If L ≤ 10"<br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30812 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30812 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30812\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30868\" commentParentId=\"30812\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/DimaPhil\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/7711/avatar/fb93b0fb945e93fe.jpg'/> </a>\n <div><a href=\"/profile/DimaPhil\" title=\"Candidate Master DimaPhil\" class=\"rated-user user-violet\">DimaPhil</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/30/2011 22:05\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30868\" href=\"?#comment-30868\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30812\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30868\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7711\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30868\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Where did you find it? The statement is correct.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30868 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30868 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30868\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30879\" commentParentId=\"30868\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ostroumov\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/9567/avatar/daf141c3784f573c.jpg'/> </a>\n <div><a href=\"/profile/ostroumov\" title=\"Expert ostroumov\" class=\"rated-user user-blue\">ostroumov</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/30/2011 22:33\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30879\" href=\"?#comment-30879\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30868\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30879\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"9567\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30879\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><a href=\"https://codeforces.com/blog/entry/1624?locale=en\">Here</a></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30879 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30879 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30879\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30884\" commentParentId=\"30879\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/DimaPhil\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/7711/avatar/fb93b0fb945e93fe.jpg'/> </a>\n <div><a href=\"/profile/DimaPhil\" title=\"Candidate Master DimaPhil\" class=\"rated-user user-violet\">DimaPhil</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/30/2011 23:13\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30884\" href=\"?#comment-30884\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30879\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30884\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7711\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30884\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Oh, yes, i see.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30884 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30884 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30884\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30898\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/fura2\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/4118/avatar/98f7ddceb1dac755.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/fura2\" title=\"Master fura2\" class=\"rated-user user-orange\">fura2</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/31/2011 09:54\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30898\" href=\"?#comment-30898\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30898\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4118\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30898\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In author's solution of problem E,<br /> does dp1 calculation really need dynamic programming?<br /> I think, this part can be done by simple 2 loops.<br /> <div align=\"left\"><br /></div> for(int mask=0;mask<(1<<n);mask++){<br /> dp1[mask]=0;<br /> for(int i=0;i<n;i++){<br /> if(mask&(1<<i)) dp1[mask]+=(weight of i-th atom);<br /> }<br /> }<br /></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30898 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30898 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30898\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"30918\" commentParentId=\"30898\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Ripatti\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Ripatti\" title=\"Master Ripatti\" class=\"rated-user user-orange\">Ripatti</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/31/2011 13:36\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-30918\" href=\"?#comment-30918\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-30898\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"30918\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"472\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-30918\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">You are right. It can be calculated by your way. Also it is calculated in this way in the author's solution.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-30918 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-30918 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-30918\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"31195\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/arpit_s\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/6116/avatar/34bf701a2e3bf99.jpg'/> </a>\n <div><a href=\"/profile/arpit_s\" title=\"Pupil arpit_s\" class=\"rated-user user-green\">arpit_s</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/03/2011 11:04\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-31195\" href=\"?#comment-31195\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"31195\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6116\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-31195\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">can you please explain O(nlog(n)) solution for question C ?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-31195 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-31195 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-31195\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"31215\" commentParentId=\"31195\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/mR.ilchi\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11753/avatar/b0675918b77546aa.jpg'/> </a>\n <div><a href=\"/profile/mR.ilchi\" title=\"International Grandmaster mR.ilchi\" class=\"rated-user user-red\">mR.ilchi</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/03/2011 20:07\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-31215\" href=\"?#comment-31215\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-31195\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"31215\" revisionCount=\"3\" revision=\"3\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">3</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"31215\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"11753\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-31215\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\">assume n= p<sub>1</sub><sup>q</sup><sup>1</sup> * p<sub>2</sub><sup>q2 </sup>* ... * p<sub>m</sub><sup>qm</sup>, where all the p<sub>i </sub>is prime.<div>then for each i, (1<=i<=m), check if exist good polygyn with exactly p<sub>i </sub>vertex. if at least one of this question has positive answer then output "YES", otherwise output "NO". because if we have a good polygyn with <b>A*B</b> vertex, then we have a good polygyn with <b>A</b> vertex.</div><div>sorry for my poor english!</div><div><br /></div></div> </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-31215 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-31215 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-31215\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"31276\" commentParentId=\"31215\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/arpit_s\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/6116/avatar/34bf701a2e3bf99.jpg'/> </a>\n <div><a href=\"/profile/arpit_s\" title=\"Pupil arpit_s\" class=\"rated-user user-green\">arpit_s</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/04/2011 13:16\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-31276\" href=\"?#comment-31276\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-31215\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"31276\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6116\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-31276\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">sorry, couldn't understand, can you explain with one example ?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-31276 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-31276 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-31276\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"31290\" commentParentId=\"31276\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/mR.ilchi\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11753/avatar/b0675918b77546aa.jpg'/> </a>\n <div><a href=\"/profile/mR.ilchi\" title=\"International Grandmaster mR.ilchi\" class=\"rated-user user-red\">mR.ilchi</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/04/2011 15:32\">13 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-31290\" href=\"?#comment-31290\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-31276\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"31290\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"31290\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"11753\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-31290\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">assume this good polygyn with <b>A*B</b> vertex:<div>S<sub>1</sub>, S<sub>2</sub>, ... , S<sub>A*B</sub></div><div>now we have subpolygyn which have only <b>A </b>vertex, like this:</div><div>S<sub>1*B</sub>, S<sub>2*B</sub>, ... , S<sub>A*B.</sub></div><div>now it's obviously that if the circle has a good polygyn then it has a polygyn with prime vertex. it's algo is O(nlgn) because for each i, p<sub>i</sub> >=2</div><div>so m<=lgn, and check function is O(n). therefore main algo is O(nlgn). </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-31290 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-31290 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-31290\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"50340\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/dalex\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/4200/avatar/fe9bfc44be854399.jpg'/> </a>\n <div><a href=\"/profile/dalex\" title=\"Master dalex\" class=\"rated-user user-orange\">dalex</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Aug/04/2011 22:51\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-50340\" href=\"?#comment-50340\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"50340\" revisionCount=\"3\" revision=\"3\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">3</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"50340\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4200\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-50340\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><p> </p><div class=\"from-renderer\">Some help for Java users with problem E: <a href=\"http://pastebin.com/ZsDc3P1E\">http://pastebin.com/ZsDc3P1E</a><br /><br />(Yes, I'm a necroposter)<br /></div> </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-50340 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-50340 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-50340\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"651690\" commentParentId=\"50340\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/the_hyp0cr1t3\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1236992/avatar/92bd73b5049b4093.jpg'/> </a>\n <div><a href=\"/profile/the_hyp0cr1t3\" title=\"Candidate Master the_hyp0cr1t3\" class=\"rated-user user-violet\">the_hyp0cr1t3</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/27/2020 22:53\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-651690\" href=\"?#comment-651690\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-50340\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"651690\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"-8\"\r\n data-commentUserId=\"1236992\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-651690\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Me too apparently</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-651690 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-651690 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-651690\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1634\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In Russian</span>\r\n </div>\r\n <textarea data-drafts-id=\"CommentReplyFrame\" class=\"wysiwyg\" name=\"editContent\" rows=\"20\" 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The Elder Trolls IV: Oblivon"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. The Elder Trolls IV: Oblivon</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays The Elder Trolls IV: Oblivon. Oh, those creators of computer games! What they do not come up with! Absolutely unique monsters have been added to the The Elder Trolls IV: Oblivon. One of these monsters is Unkillable Slug. Why it is \"Unkillable\"? Firstly, because it can be killed with cutting weapon only, so lovers of two-handed amber hammers should find suitable knife themselves. Secondly, it is necessary to make so many cutting strokes to Unkillable Slug. Extremely many. Too many! </p><p>Vasya has already promoted his character to 80-th level and in order to gain level 81 he was asked to kill Unkillable Slug. The monster has a very interesting shape. It looks like a rectangular parallelepiped with size <span class=\"tex-span\"><i>x</i> × <i>y</i> × <i>z</i></span>, consisting of undestructable cells <span class=\"tex-span\">1 × 1 × 1</span>. At one stroke Vasya can cut the Slug along an imaginary grid, i.e. cut with a plane parallel to one of the parallelepiped side. Monster dies when amount of parts it is divided reaches some critical value.</p><p>All parts of monster do not fall after each cut, they remains exactly on its places. I. e. Vasya can cut several parts with one cut.</p><p>Vasya wants to know what the maximum number of pieces he can cut the Unkillable Slug into striking him at most <span class=\"tex-span\"><i>k</i></span> times.</p><p>Vasya's character uses absolutely thin sword with infinite length.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of input contains four integer numbers <span class=\"tex-span\"><i>x</i>, <i>y</i>, <i>z</i>, <i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>x</i>, <i>y</i>, <i>z</i> ≤ 10<sup class=\"upper-index\">6</sup>, 0 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">9</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the only number — the answer for the problem.</p><p>Please, do not use <span class=\"tex-font-style-tt\">%lld</span> specificator to read or write 64-bit integers in C++. It is preffered to use <span class=\"tex-font-style-tt\">cout</span> (also you may use <span class=\"tex-font-style-tt\">%I64d</span>).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2 2 2 3<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>8</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2 2 2 1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first sample Vasya make 3 pairwise perpendicular cuts. He cuts monster on two parts with the first cut, then he divides each part on two with the second cut, and finally he divides each of the 4 parts on two.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"c0593086f42325d98c6ec1ba345fab86\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - A - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"148f05fde0bd627058e4b2e310683dd4218d4557\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - A - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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'))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"A\" data-uuid=\"ps_11e78e703c0b86d4c6ad48eff7d61959188e706a\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. The Elder Trolls IV: Oblivon</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays The Elder Trolls IV: Oblivon. Oh, those creators of computer games! What they do not come up with! Absolutely unique monsters have been added to the The Elder Trolls IV: Oblivon. One of these monsters is Unkillable Slug. Why it is "Unkillable"? Firstly, because it can be killed with cutting weapon only, so lovers of two-handed amber hammers should find suitable knife themselves. Secondly, it is necessary to make so many cutting strokes to Unkillable Slug. Extremely many. Too many! </p><p>Vasya has already promoted his character to 80-th level and in order to gain level 81 he was asked to kill Unkillable Slug. The monster has a very interesting shape. It looks like a rectangular parallelepiped with size <span class=\"tex-span\"><i>x</i> × <i>y</i> × <i>z</i></span>, consisting of undestructable cells <span class=\"tex-span\">1 × 1 × 1</span>. At one stroke Vasya can cut the Slug along an imaginary grid, i.e. cut with a plane parallel to one of the parallelepiped side. Monster dies when amount of parts it is divided reaches some critical value.</p><p>All parts of monster do not fall after each cut, they remains exactly on its places. I. e. Vasya can cut several parts with one cut.</p><p>Vasya wants to know what the maximum number of pieces he can cut the Unkillable Slug into striking him at most <span class=\"tex-span\"><i>k</i></span> times.</p><p>Vasya's character uses absolutely thin sword with infinite length.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of input contains four integer numbers <span class=\"tex-span\"><i>x</i>, <i>y</i>, <i>z</i>, <i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>x</i>, <i>y</i>, <i>z</i> ≤ 10<sup class=\"upper-index\">6</sup>, 0 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">9</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the only number — the answer for the problem.</p><p>Please, do not use <span class=\"tex-font-style-tt\">%lld</span> specificator to read or write 64-bit integers in C++. It is preffered to use <span class=\"tex-font-style-tt\">cout</span> (also you may use <span class=\"tex-font-style-tt\">%I64d</span>).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2 2 2 3<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>8</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2 2 2 1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first sample Vasya make 3 pairwise perpendicular cuts. 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:35</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" 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class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='cfc67b8f552397d8e803b0d5178e1177'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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Problems A, B, C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/I_Remember_Olya_ashmelev\" title=\"Grandmaster I_Remember_Olya_ashmelev\" class=\"rated-user user-red\">I_Remember_Olya_ashmelev</a>,\r\n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div><p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem A.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s call the monster dimension sizes as <i>x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub></i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">1. <i>O(min(k, x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub>)) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We can make at most <i>(x<sub>1</sub> – 1) + (x<sub>2</sub> – 1) + (x<sub>3</sub> – 1)</i> cuttings, so we may assume that <i>k <= x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub> – 3</i>. For each of the three dimensions we will store an integer <i>a<sub>i</sub></i> – number of cuttings performed through the corresponding dimension. Let’s perform the following actions <i>k</i> times: consider all numbers <i>a<sub>i</sub> </i>which we may increase (<i>a<sub>i</sub> < x<sub>i</sub> - 1</i>) , call these dimensions “uncompleted”. Select the minimum number <i>a<sub>j</sub></i> among all uncompleted <i>a<sub>i</sub></i> and perform a cut through the corresponding dimension (<i>a<sub>j</sub></i> will be increased by 1 as the result). Now let’s consider the resulting set after <i>k</i> actions: <i>{a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>}</i>. Using the described algorithm we grant that the maximum element of this set is as little as possible and the minimum element is as big as possible. Because the sum <i>a<sub>1</sub> + a<sub>2</sub> + a<sub>3</sub> = k</i> is fixed, we get the maximum product <i>(a<sub>1</sub> + 1) * (a<sub>2</sub> + 1) * (a<sub>3</sub> + 1)</i> which is the answer for the problem.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">2. <i>O(1) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Instead of simulation all the <i>k</i> actions we may quickly determine values of numbers <i>a<sub>i</sub></i> after using the algorithm described above.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let <i>x</i> – the smallest value among <i>(x<sub>i </sub>– 1)</i>. When <i>x * 3 >= k</i> on each of the algorithm iterations all three dimensions will be uncompleted. It means that during the first <i>(k / 3) * 3</i> steps each of numbers <i>a<sub>i</sub></i> will be increased by <i>(k / 3)</i>. Then 0, 1 or 2 numbers <i>a<sub>i</sub></i> will be increased by 1 subject to value of <i>k % 3</i>. So</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">, </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">found</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">values</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">a<sub>i</sub></span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Otherwise (<i>x * 3 < k</i>) during the first <i>x * 3</i> steps each of <i>a<sub>i</sub></i> will be increased by <i>x</i>. After that we will have at most two uncompleted dimensions which can be processed a similar way (we should choose the minimum value <i>x</i> among the remaining uncompleted dimensions).</span></p> <p><span lang=\"EN-US\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem B.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We may assume that we have exactly <i>n</i> awarded places but some of them give 0 points.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s sort places by amount of points (<i>b<sub>i</sub></i>) and racers by amount of currently gained points (<i>a<sub>i</sub></i>). First let’s find the best place Vasya can reach. In the best case he will get <i>b<sub>0</sub></i> points (where <i>b<sub>0</sub></i> is the greatest number among <i>b<sub>i</sub></i>). So, let the total Vasya’s point is <i>v</i>. Now we should to distribute other prize points to racers so that the number of racers better than Vasya will be minimal. For doing that we are to give maximum number of prizes so that corresponding racers will have less than <i>v </i>points. Note that if we can give <i>k</i> prizes keeping this property, than we can give <i>k</i> “cheapest” prizes too. The following statement is also true: if we can get a prize with <i>t</i> points to racer <i>i</i> and to racer <i>j</i> , <i>a<sub>i</sub> > a<sub>j</sub></i>, then it is better to give this prize to racer <i>i</i>. Formally: if there exists a way to give <i>k</i> prizes where this prize will get racer <i>j</i>, than there exists a way to give <i>k</i> prizes where this prize will get racer <i>i</i>. It can be proven the following way. Consider a way to give <i>k</i> prizes where racer <i>j</i> got prize with <i>t</i> points, racer <i>i</i> – <i>s</i> points or didn’t get prize at all. In the first case we can swap prizes for racers <i>i</i> and <i>j</i>: <i>a<sub>i</sub> > a<sub>j</sub></i> and <i>a<sub>i</sub> + s < v</i> (since racer <i>i</i> have got the prize), so <i>a<sub>j</sub> + s < v</i>, and <i>a<sub>i</sub> + t < v</i> i.e. this change is acceptable. In the second case we can just give the prize <i>t</i> to racer <i>i</i> instead of racer <i>j</i>. In the both cases we get a way to give <i>k</i> prizes where racer <i>i</i> receive prize<i> t</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Now including this statement we may give prizes to racers using the following greedy algorithm. Let’s begin to give prizes starting from the cheapest one and check the racers starting from the best one (of course excluding Vasya and the best prize). For each prize <i>i</i> we will go through the racers until applicable racer (<i>j</i>) found: <i>b<sub>i</sub> + a<sub>j</sub> < v</i>. If no such racers remain we are unable to give more prizes without violating the rule (racers should have less than <i>v</i> points). In this case we should stop the algorithm and the answer is <i>n – k </i>where <i>k</i> is the number of prizes we have given. If we have found such racer <i>j</i> we can give him prize <i>b<sub>i</sub></i> and go to the next prize. Complexity of this step is <i>O(n)</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Similarly we can find the worst place for Vasya. For doing that we should give him the cheapest prize (note it may have positive points though). After that we should distribute the prizes iterating over prizes from the largest to cheapest and check racers from the worst to the best one trying to make sum of racer’s points more than <i>v</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Total complexity of the described algorithm is <i>O(n * log(n))</i> because we have to sort prizes and racers.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem C.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">It is easy to see that if we put some symbol <i>c</i> at position <i>p</i> of the string <i>s</i> it will not affect symbols at positions (<i>p+2</i>) and greater. So</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have a</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">standard</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">DP</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">problem</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">. </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">State of the dynamic is described by three parameters: <i>p</i> – the number of already processed symbols (or the index of currently processed symbol of the string), <i>c</i> – the previous symbol, <i>t</i> – the number of allowed symbol changes. To calculate the answer for a state we should choose the best value among all symbols for current position (when <i>t > 0</i>) or just go to the index (<i>p + 1</i>) with current symbol <i>s[p]</i>. Thus we get the followings formulas:</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[n][*][*] = 0</span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = d[p + 1][s[p]][t] + bonus[c][s[p]] </span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">when<i> t = 0</i></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = max(d[p + 1][c’][t – (c’ <> s[p])] + bonus[c][c’])</span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">where <i>n</i> is the length of string <i>s</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Computation complexity of the algorithm is <i>O(n * k * h^2)</i>, where <i>h</i> is the alphabet size (<i>h = 26</i> for current problem).<b></b></span></p></div><div /></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/73\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 66</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-368-1700\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"368\",\n blogEntryId: \"1700\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+66\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round 66</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-11</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/I_Remember_Olya_ashmelev\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/I_Remember_Olya_ashmelev\">\n I_Remember_Olya_ashmelev\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1700#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1700#comments\">\n 2\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1710\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (2)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"628513\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/time_14_07\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1315340/avatar/caa9501b0e90f618.jpg'/> </a>\n <div><a href=\"/profile/time_14_07\" title=\"Newbie time_14_07\" class=\"rated-user user-gray\">time_14_07</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/24/2020 15:40\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-628513\" href=\"?#comment-628513\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"628513\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"-8\"\r\n data-commentUserId=\"1315340\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-628513\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Please anyone explain problem C DP problem. It's states and recurrence relation.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-628513 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-628513 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-628513\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"781701\" commentParentId=\"628513\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/arman.t\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/arman.t\" title=\"Expert arman.t\" class=\"rated-user user-blue\">arman.t</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/18/2021 20:45\">2 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-781701\" href=\"?#comment-781701\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-628513\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"781701\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"208522\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-781701\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You can take a look at solution <a href=\"/contest/73/submission/113434456\" title=\"Submission 113434456 by arman.t\">113434456</a>, I think it's a bit more intuitive than in the Editorial.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-781701 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-781701 en false\" 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Need For Brake"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Need For Brake</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>4 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays the Need For Brake. He plays because he was presented with a new computer wheel for birthday! Now he is sure that he will win the first place in the championship in his favourite racing computer game! </p><p><span class=\"tex-span\"><i>n</i></span> racers take part in the championship, which consists of a number of races. After each race racers are arranged from place first to <span class=\"tex-span\"><i>n</i></span>-th (no two racers share the same place) and first <span class=\"tex-span\"><i>m</i></span> places are awarded. Racer gains <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> points for <span class=\"tex-span\"><i>i</i></span>-th awarded place, which are added to total points, obtained by him for previous races. It is known that current summary score of racer <span class=\"tex-span\"><i>i</i></span> is <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> points. In the final standings of championship all the racers will be sorted in descending order of points. Racers with an equal amount of points are sorted by increasing of the name in lexicographical order.</p><p>Unfortunately, the championship has come to an end, and there is only one race left. Vasya decided to find out what the highest and lowest place he can take up as a result of the championship.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains number <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">5</sup></span>) — number of racers. Each of the next <span class=\"tex-span\"><i>n</i></span> lines contains <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> — nick of the racer (nonempty string, which consist of no more than 20 lowercase Latin letters) and the racer's points (<span class=\"tex-span\">0 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">6</sup></span>). Racers are given in the arbitrary order.</p><p>The next line contains the number <span class=\"tex-span\"><i>m</i></span> (<span class=\"tex-span\">0 ≤ <i>m</i> ≤ <i>n</i></span>). Then <span class=\"tex-span\"><i>m</i></span> nonnegative integer numbers <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> follow. <span class=\"tex-span\"><i>i</i></span>-th number is equal to amount of points for the <span class=\"tex-span\"><i>i</i></span>-th awarded place (<span class=\"tex-span\">0 ≤ <i>b</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p><p>The last line contains Vasya's racer nick.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output two numbers — the highest and the lowest place Vasya can take up as a result of the championship.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br/>teama 10<br/>teamb 20<br/>teamc 40<br/>2<br/>10 20<br/>teama<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2 3</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2<br/>teama 10<br/>teamb 10<br/>2<br/>10 10<br/>teamb<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2 2</pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"d5893aca716efb11803a061ada42425c\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - B - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"148f05fde0bd627058e4b2e310683dd4218d4557\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - B - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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\"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"B\" data-uuid=\"ps_0f0b3e9d56f45a8e39ccb9faf2e2266003d3a325\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Need For Brake</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>4 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays the Need For Brake. He plays because he was presented with a new computer wheel for birthday! Now he is sure that he will win the first place in the championship in his favourite racing computer game! </p><p><span class=\"tex-span\"><i>n</i></span> racers take part in the championship, which consists of a number of races. After each race racers are arranged from place first to <span class=\"tex-span\"><i>n</i></span>-th (no two racers share the same place) and first <span class=\"tex-span\"><i>m</i></span> places are awarded. Racer gains <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> points for <span class=\"tex-span\"><i>i</i></span>-th awarded place, which are added to total points, obtained by him for previous races. It is known that current summary score of racer <span class=\"tex-span\"><i>i</i></span> is <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> points. In the final standings of championship all the racers will be sorted in descending order of points. Racers with an equal amount of points are sorted by increasing of the name in lexicographical order.</p><p>Unfortunately, the championship has come to an end, and there is only one race left. Vasya decided to find out what the highest and lowest place he can take up as a result of the championship.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains number <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">5</sup></span>) — number of racers. Each of the next <span class=\"tex-span\"><i>n</i></span> lines contains <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> — nick of the racer (nonempty string, which consist of no more than 20 lowercase Latin letters) and the racer's points (<span class=\"tex-span\">0 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">6</sup></span>). Racers are given in the arbitrary order.</p><p>The next line contains the number <span class=\"tex-span\"><i>m</i></span> (<span class=\"tex-span\">0 ≤ <i>m</i> ≤ <i>n</i></span>). Then <span class=\"tex-span\"><i>m</i></span> nonnegative integer numbers <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> follow. <span class=\"tex-span\"><i>i</i></span>-th number is equal to amount of points for the <span class=\"tex-span\"><i>i</i></span>-th awarded place (<span class=\"tex-span\">0 ≤ <i>b</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p><p>The last line contains Vasya's racer nick.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output two numbers — the highest and the lowest place Vasya can take up as a result of the championship.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br />teama 10<br />teamb 20<br />teamc 40<br />2<br />10 20<br />teama<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2 3</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2<br />teama 10<br />teamb 10<br />2<br />10 10<br />teamb<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2 2</pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=B]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n $problem.find(\".diff-notifier-close\").click(function() {\r\n Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);\r\n $problem.find(\".diff-notifier\").hide();\r\n });\r\n\r\n $problem.find(\"a.view-changes\").click(function() {\r\n $.post(\"/data/diff\", 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:35</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='cfc67b8f552397d8e803b0d5178e1177'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a 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style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div 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class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New 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title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> 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Problems A, B, C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/I_Remember_Olya_ashmelev\" title=\"Grandmaster I_Remember_Olya_ashmelev\" class=\"rated-user user-red\">I_Remember_Olya_ashmelev</a>,\r\n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div><p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem A.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s call the monster dimension sizes as <i>x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub></i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">1. <i>O(min(k, x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub>)) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We can make at most <i>(x<sub>1</sub> – 1) + (x<sub>2</sub> – 1) + (x<sub>3</sub> – 1)</i> cuttings, so we may assume that <i>k <= x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub> – 3</i>. For each of the three dimensions we will store an integer <i>a<sub>i</sub></i> – number of cuttings performed through the corresponding dimension. Let’s perform the following actions <i>k</i> times: consider all numbers <i>a<sub>i</sub> </i>which we may increase (<i>a<sub>i</sub> < x<sub>i</sub> - 1</i>) , call these dimensions “uncompleted”. Select the minimum number <i>a<sub>j</sub></i> among all uncompleted <i>a<sub>i</sub></i> and perform a cut through the corresponding dimension (<i>a<sub>j</sub></i> will be increased by 1 as the result). Now let’s consider the resulting set after <i>k</i> actions: <i>{a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>}</i>. Using the described algorithm we grant that the maximum element of this set is as little as possible and the minimum element is as big as possible. Because the sum <i>a<sub>1</sub> + a<sub>2</sub> + a<sub>3</sub> = k</i> is fixed, we get the maximum product <i>(a<sub>1</sub> + 1) * (a<sub>2</sub> + 1) * (a<sub>3</sub> + 1)</i> which is the answer for the problem.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">2. <i>O(1) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Instead of simulation all the <i>k</i> actions we may quickly determine values of numbers <i>a<sub>i</sub></i> after using the algorithm described above.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let <i>x</i> – the smallest value among <i>(x<sub>i </sub>– 1)</i>. When <i>x * 3 >= k</i> on each of the algorithm iterations all three dimensions will be uncompleted. It means that during the first <i>(k / 3) * 3</i> steps each of numbers <i>a<sub>i</sub></i> will be increased by <i>(k / 3)</i>. Then 0, 1 or 2 numbers <i>a<sub>i</sub></i> will be increased by 1 subject to value of <i>k % 3</i>. So</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">, </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">found</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">values</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">a<sub>i</sub></span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Otherwise (<i>x * 3 < k</i>) during the first <i>x * 3</i> steps each of <i>a<sub>i</sub></i> will be increased by <i>x</i>. After that we will have at most two uncompleted dimensions which can be processed a similar way (we should choose the minimum value <i>x</i> among the remaining uncompleted dimensions).</span></p> <p><span lang=\"EN-US\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem B.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We may assume that we have exactly <i>n</i> awarded places but some of them give 0 points.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s sort places by amount of points (<i>b<sub>i</sub></i>) and racers by amount of currently gained points (<i>a<sub>i</sub></i>). First let’s find the best place Vasya can reach. In the best case he will get <i>b<sub>0</sub></i> points (where <i>b<sub>0</sub></i> is the greatest number among <i>b<sub>i</sub></i>). So, let the total Vasya’s point is <i>v</i>. Now we should to distribute other prize points to racers so that the number of racers better than Vasya will be minimal. For doing that we are to give maximum number of prizes so that corresponding racers will have less than <i>v </i>points. Note that if we can give <i>k</i> prizes keeping this property, than we can give <i>k</i> “cheapest” prizes too. The following statement is also true: if we can get a prize with <i>t</i> points to racer <i>i</i> and to racer <i>j</i> , <i>a<sub>i</sub> > a<sub>j</sub></i>, then it is better to give this prize to racer <i>i</i>. Formally: if there exists a way to give <i>k</i> prizes where this prize will get racer <i>j</i>, than there exists a way to give <i>k</i> prizes where this prize will get racer <i>i</i>. It can be proven the following way. Consider a way to give <i>k</i> prizes where racer <i>j</i> got prize with <i>t</i> points, racer <i>i</i> – <i>s</i> points or didn’t get prize at all. In the first case we can swap prizes for racers <i>i</i> and <i>j</i>: <i>a<sub>i</sub> > a<sub>j</sub></i> and <i>a<sub>i</sub> + s < v</i> (since racer <i>i</i> have got the prize), so <i>a<sub>j</sub> + s < v</i>, and <i>a<sub>i</sub> + t < v</i> i.e. this change is acceptable. In the second case we can just give the prize <i>t</i> to racer <i>i</i> instead of racer <i>j</i>. In the both cases we get a way to give <i>k</i> prizes where racer <i>i</i> receive prize<i> t</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Now including this statement we may give prizes to racers using the following greedy algorithm. Let’s begin to give prizes starting from the cheapest one and check the racers starting from the best one (of course excluding Vasya and the best prize). For each prize <i>i</i> we will go through the racers until applicable racer (<i>j</i>) found: <i>b<sub>i</sub> + a<sub>j</sub> < v</i>. If no such racers remain we are unable to give more prizes without violating the rule (racers should have less than <i>v</i> points). In this case we should stop the algorithm and the answer is <i>n – k </i>where <i>k</i> is the number of prizes we have given. If we have found such racer <i>j</i> we can give him prize <i>b<sub>i</sub></i> and go to the next prize. Complexity of this step is <i>O(n)</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Similarly we can find the worst place for Vasya. For doing that we should give him the cheapest prize (note it may have positive points though). After that we should distribute the prizes iterating over prizes from the largest to cheapest and check racers from the worst to the best one trying to make sum of racer’s points more than <i>v</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Total complexity of the described algorithm is <i>O(n * log(n))</i> because we have to sort prizes and racers.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem C.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">It is easy to see that if we put some symbol <i>c</i> at position <i>p</i> of the string <i>s</i> it will not affect symbols at positions (<i>p+2</i>) and greater. So</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have a</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">standard</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">DP</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">problem</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">. </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">State of the dynamic is described by three parameters: <i>p</i> – the number of already processed symbols (or the index of currently processed symbol of the string), <i>c</i> – the previous symbol, <i>t</i> – the number of allowed symbol changes. To calculate the answer for a state we should choose the best value among all symbols for current position (when <i>t > 0</i>) or just go to the index (<i>p + 1</i>) with current symbol <i>s[p]</i>. Thus we get the followings formulas:</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[n][*][*] = 0</span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = d[p + 1][s[p]][t] + bonus[c][s[p]] </span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">when<i> t = 0</i></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = max(d[p + 1][c’][t – (c’ <> s[p])] + bonus[c][c’])</span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">where <i>n</i> is the length of string <i>s</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Computation complexity of the algorithm is <i>O(n * k * h^2)</i>, where <i>h</i> is the alphabet size (<i>h = 26</i> for current problem).<b></b></span></p></div><div /></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/73\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 66</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-368-1700\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"368\",\n blogEntryId: \"1700\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+66\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round 66</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-11</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/I_Remember_Olya_ashmelev\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/I_Remember_Olya_ashmelev\">\n I_Remember_Olya_ashmelev\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1700#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1700#comments\">\n 2\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1710\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (2)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"628513\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/time_14_07\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1315340/avatar/caa9501b0e90f618.jpg'/> </a>\n <div><a href=\"/profile/time_14_07\" title=\"Newbie time_14_07\" class=\"rated-user user-gray\">time_14_07</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/24/2020 15:40\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-628513\" href=\"?#comment-628513\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"628513\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"-8\"\r\n data-commentUserId=\"1315340\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-628513\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Please anyone explain problem C DP problem. It's states and recurrence relation.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-628513 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-628513 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-628513\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"781701\" commentParentId=\"628513\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/arman.t\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/arman.t\" title=\"Expert arman.t\" class=\"rated-user user-blue\">arman.t</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/18/2021 20:45\">2 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-781701\" href=\"?#comment-781701\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-628513\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"781701\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"208522\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-781701\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You can take a look at solution <a href=\"/contest/73/submission/113434456\" title=\"Submission 113434456 by arman.t\">113434456</a>, I think it's a bit more intuitive than in the Editorial.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-781701 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-781701 en false\" 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LionAge II"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. LionAge II</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays the LionAge II. He was bored of playing with a stupid computer, so he installed this popular MMORPG, to fight with his friends. Vasya came up with the name of his character — non-empty string <span class=\"tex-span\"><i>s</i></span>, consisting of a lowercase Latin letters. However, in order not to put up a front of friends, Vasya has decided to change no more than <span class=\"tex-span\"><i>k</i></span> letters of the character name so that the new name sounded as good as possible. Euphony of the line is defined as follows: for each pair of adjacent letters <span class=\"tex-span\"><i>x</i></span> and <span class=\"tex-span\"><i>y</i></span> (<span class=\"tex-span\"><i>x</i></span> immediately precedes <span class=\"tex-span\"><i>y</i></span>) the bonus <span class=\"tex-span\"><i>c</i>(<i>x</i>, <i>y</i>)</span> is added to the result. Your task is to determine what the greatest Euphony can be obtained by changing at most <span class=\"tex-span\"><i>k</i></span> letters in the name of the Vasya's character.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains character's name <span class=\"tex-span\"><i>s</i></span> and an integer number <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">0 ≤ <i>k</i> ≤ 100</span>). The length of the nonempty string <span class=\"tex-span\"><i>s</i></span> does not exceed <span class=\"tex-span\">100</span>. The second line contains an integer number <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">0 ≤ <i>n</i> ≤ 676</span>) — amount of pairs of letters, giving bonus to the euphony. The next <span class=\"tex-span\"><i>n</i></span> lines contain description of these pairs «<span class=\"tex-span\"><i>x</i></span> <span class=\"tex-span\"><i>y</i></span> <span class=\"tex-span\"><i>c</i></span>», which means that sequence <span class=\"tex-span\"><i>xy</i></span> gives bonus <span class=\"tex-span\"><i>c</i></span> (<span class=\"tex-span\"><i>x</i>, <i>y</i></span> — lowercase Latin letters, <span class=\"tex-span\"> - 1000 ≤ <i>c</i> ≤ 1000)</span>. It is guaranteed that no pair <span class=\"tex-span\"><i>x</i></span> <span class=\"tex-span\"><i>y</i></span> mentioned twice in the input data.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the only number — maximum possible euphony оf the new character's name.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>winner 4<br/>4<br/>s e 7<br/>o s 8<br/>l o 13<br/>o o 8<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>36</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>abcdef 1<br/>5<br/>a b -10<br/>b c 5<br/>c d 5<br/>d e 5<br/>e f 5<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>20</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first example the most euphony name will be <span class=\"tex-span\"><i>looser</i></span>. It is easy to calculate that its euphony is 36.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"a870e42b171ac811de3e6ece52009b97\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - C - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"148f05fde0bd627058e4b2e310683dd4218d4557\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - C - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"C\" data-uuid=\"ps_f8b80b13cc31dfd9b7264231641391f1efbe0b2b\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. LionAge II</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays the LionAge II. He was bored of playing with a stupid computer, so he installed this popular MMORPG, to fight with his friends. Vasya came up with the name of his character — non-empty string <span class=\"tex-span\"><i>s</i></span>, consisting of a lowercase Latin letters. However, in order not to put up a front of friends, Vasya has decided to change no more than <span class=\"tex-span\"><i>k</i></span> letters of the character name so that the new name sounded as good as possible. Euphony of the line is defined as follows: for each pair of adjacent letters <span class=\"tex-span\"><i>x</i></span> and <span class=\"tex-span\"><i>y</i></span> (<span class=\"tex-span\"><i>x</i></span> immediately precedes <span class=\"tex-span\"><i>y</i></span>) the bonus <span class=\"tex-span\"><i>c</i>(<i>x</i>, <i>y</i>)</span> is added to the result. Your task is to determine what the greatest Euphony can be obtained by changing at most <span class=\"tex-span\"><i>k</i></span> letters in the name of the Vasya's character.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains character's name <span class=\"tex-span\"><i>s</i></span> and an integer number <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">0 ≤ <i>k</i> ≤ 100</span>). The length of the nonempty string <span class=\"tex-span\"><i>s</i></span> does not exceed <span class=\"tex-span\">100</span>. The second line contains an integer number <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">0 ≤ <i>n</i> ≤ 676</span>) — amount of pairs of letters, giving bonus to the euphony. The next <span class=\"tex-span\"><i>n</i></span> lines contain description of these pairs «<span class=\"tex-span\"><i>x</i></span> <span class=\"tex-span\"><i>y</i></span> <span class=\"tex-span\"><i>c</i></span>», which means that sequence <span class=\"tex-span\"><i>xy</i></span> gives bonus <span class=\"tex-span\"><i>c</i></span> (<span class=\"tex-span\"><i>x</i>, <i>y</i></span> — lowercase Latin letters, <span class=\"tex-span\"> - 1000 ≤ <i>c</i> ≤ 1000)</span>. It is guaranteed that no pair <span class=\"tex-span\"><i>x</i></span> <span class=\"tex-span\"><i>y</i></span> mentioned twice in the input data.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the only number — maximum possible euphony оf the new character's name.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>winner 4<br />4<br />s e 7<br />o s 8<br />l o 13<br />o o 8<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>36</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>abcdef 1<br />5<br />a b -10<br />b c 5<br />c d 5<br />d e 5<br />e f 5<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>20</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first example the most euphony name will be <span class=\"tex-span\"><i>looser</i></span>. 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:35</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" 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class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='cfc67b8f552397d8e803b0d5178e1177'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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Problems A, B, C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/I_Remember_Olya_ashmelev\" title=\"Grandmaster I_Remember_Olya_ashmelev\" class=\"rated-user user-red\">I_Remember_Olya_ashmelev</a>,\r\n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div><p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem A.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s call the monster dimension sizes as <i>x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub></i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">1. <i>O(min(k, x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub>)) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We can make at most <i>(x<sub>1</sub> – 1) + (x<sub>2</sub> – 1) + (x<sub>3</sub> – 1)</i> cuttings, so we may assume that <i>k <= x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub> – 3</i>. For each of the three dimensions we will store an integer <i>a<sub>i</sub></i> – number of cuttings performed through the corresponding dimension. Let’s perform the following actions <i>k</i> times: consider all numbers <i>a<sub>i</sub> </i>which we may increase (<i>a<sub>i</sub> < x<sub>i</sub> - 1</i>) , call these dimensions “uncompleted”. Select the minimum number <i>a<sub>j</sub></i> among all uncompleted <i>a<sub>i</sub></i> and perform a cut through the corresponding dimension (<i>a<sub>j</sub></i> will be increased by 1 as the result). Now let’s consider the resulting set after <i>k</i> actions: <i>{a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>}</i>. Using the described algorithm we grant that the maximum element of this set is as little as possible and the minimum element is as big as possible. Because the sum <i>a<sub>1</sub> + a<sub>2</sub> + a<sub>3</sub> = k</i> is fixed, we get the maximum product <i>(a<sub>1</sub> + 1) * (a<sub>2</sub> + 1) * (a<sub>3</sub> + 1)</i> which is the answer for the problem.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">2. <i>O(1) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Instead of simulation all the <i>k</i> actions we may quickly determine values of numbers <i>a<sub>i</sub></i> after using the algorithm described above.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let <i>x</i> – the smallest value among <i>(x<sub>i </sub>– 1)</i>. When <i>x * 3 >= k</i> on each of the algorithm iterations all three dimensions will be uncompleted. It means that during the first <i>(k / 3) * 3</i> steps each of numbers <i>a<sub>i</sub></i> will be increased by <i>(k / 3)</i>. Then 0, 1 or 2 numbers <i>a<sub>i</sub></i> will be increased by 1 subject to value of <i>k % 3</i>. So</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">, </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">found</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">values</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">a<sub>i</sub></span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Otherwise (<i>x * 3 < k</i>) during the first <i>x * 3</i> steps each of <i>a<sub>i</sub></i> will be increased by <i>x</i>. After that we will have at most two uncompleted dimensions which can be processed a similar way (we should choose the minimum value <i>x</i> among the remaining uncompleted dimensions).</span></p> <p><span lang=\"EN-US\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem B.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We may assume that we have exactly <i>n</i> awarded places but some of them give 0 points.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s sort places by amount of points (<i>b<sub>i</sub></i>) and racers by amount of currently gained points (<i>a<sub>i</sub></i>). First let’s find the best place Vasya can reach. In the best case he will get <i>b<sub>0</sub></i> points (where <i>b<sub>0</sub></i> is the greatest number among <i>b<sub>i</sub></i>). So, let the total Vasya’s point is <i>v</i>. Now we should to distribute other prize points to racers so that the number of racers better than Vasya will be minimal. For doing that we are to give maximum number of prizes so that corresponding racers will have less than <i>v </i>points. Note that if we can give <i>k</i> prizes keeping this property, than we can give <i>k</i> “cheapest” prizes too. The following statement is also true: if we can get a prize with <i>t</i> points to racer <i>i</i> and to racer <i>j</i> , <i>a<sub>i</sub> > a<sub>j</sub></i>, then it is better to give this prize to racer <i>i</i>. Formally: if there exists a way to give <i>k</i> prizes where this prize will get racer <i>j</i>, than there exists a way to give <i>k</i> prizes where this prize will get racer <i>i</i>. It can be proven the following way. Consider a way to give <i>k</i> prizes where racer <i>j</i> got prize with <i>t</i> points, racer <i>i</i> – <i>s</i> points or didn’t get prize at all. In the first case we can swap prizes for racers <i>i</i> and <i>j</i>: <i>a<sub>i</sub> > a<sub>j</sub></i> and <i>a<sub>i</sub> + s < v</i> (since racer <i>i</i> have got the prize), so <i>a<sub>j</sub> + s < v</i>, and <i>a<sub>i</sub> + t < v</i> i.e. this change is acceptable. In the second case we can just give the prize <i>t</i> to racer <i>i</i> instead of racer <i>j</i>. In the both cases we get a way to give <i>k</i> prizes where racer <i>i</i> receive prize<i> t</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Now including this statement we may give prizes to racers using the following greedy algorithm. Let’s begin to give prizes starting from the cheapest one and check the racers starting from the best one (of course excluding Vasya and the best prize). For each prize <i>i</i> we will go through the racers until applicable racer (<i>j</i>) found: <i>b<sub>i</sub> + a<sub>j</sub> < v</i>. If no such racers remain we are unable to give more prizes without violating the rule (racers should have less than <i>v</i> points). In this case we should stop the algorithm and the answer is <i>n – k </i>where <i>k</i> is the number of prizes we have given. If we have found such racer <i>j</i> we can give him prize <i>b<sub>i</sub></i> and go to the next prize. Complexity of this step is <i>O(n)</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Similarly we can find the worst place for Vasya. For doing that we should give him the cheapest prize (note it may have positive points though). After that we should distribute the prizes iterating over prizes from the largest to cheapest and check racers from the worst to the best one trying to make sum of racer’s points more than <i>v</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Total complexity of the described algorithm is <i>O(n * log(n))</i> because we have to sort prizes and racers.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem C.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">It is easy to see that if we put some symbol <i>c</i> at position <i>p</i> of the string <i>s</i> it will not affect symbols at positions (<i>p+2</i>) and greater. So</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have a</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">standard</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">DP</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">problem</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">. </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">State of the dynamic is described by three parameters: <i>p</i> – the number of already processed symbols (or the index of currently processed symbol of the string), <i>c</i> – the previous symbol, <i>t</i> – the number of allowed symbol changes. To calculate the answer for a state we should choose the best value among all symbols for current position (when <i>t > 0</i>) or just go to the index (<i>p + 1</i>) with current symbol <i>s[p]</i>. Thus we get the followings formulas:</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[n][*][*] = 0</span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = d[p + 1][s[p]][t] + bonus[c][s[p]] </span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">when<i> t = 0</i></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = max(d[p + 1][c’][t – (c’ <> s[p])] + bonus[c][c’])</span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">where <i>n</i> is the length of string <i>s</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Computation complexity of the algorithm is <i>O(n * k * h^2)</i>, where <i>h</i> is the alphabet size (<i>h = 26</i> for current problem).<b></b></span></p></div><div /></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/73\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 66</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-368-1700\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"368\",\n blogEntryId: \"1700\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+66\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round 66</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-11</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/I_Remember_Olya_ashmelev\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/I_Remember_Olya_ashmelev\">\n I_Remember_Olya_ashmelev\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1700#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1700#comments\">\n 2\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1710\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (2)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"628513\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/time_14_07\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1315340/avatar/caa9501b0e90f618.jpg'/> </a>\n <div><a href=\"/profile/time_14_07\" title=\"Newbie time_14_07\" class=\"rated-user user-gray\">time_14_07</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/24/2020 15:40\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-628513\" href=\"?#comment-628513\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"628513\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"-8\"\r\n data-commentUserId=\"1315340\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-628513\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Please anyone explain problem C DP problem. It's states and recurrence relation.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-628513 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-628513 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-628513\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"781701\" commentParentId=\"628513\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/arman.t\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/arman.t\" title=\"Expert arman.t\" class=\"rated-user user-blue\">arman.t</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/18/2021 20:45\">2 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-781701\" href=\"?#comment-781701\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-628513\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"781701\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"208522\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-781701\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You can take a look at solution <a href=\"/contest/73/submission/113434456\" title=\"Submission 113434456 by arman.t\">113434456</a>, I think it's a bit more intuitive than in the Editorial.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-781701 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-781701 en false\" 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FreeDiv"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. FreeDiv</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>5 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays FreeDiv. In this game he manages a huge state, which has <span class=\"tex-span\"><i>n</i></span> cities and <span class=\"tex-span\"><i>m</i></span> two-way roads between them. Unfortunately, not from every city you can reach any other one moving along these roads. Therefore Vasya decided to divide the state into provinces so that in every province, one could reach from every city all the cities of the province, but there are no roads between provinces. </p><p>Unlike other turn-based strategies, in FreeDiv a player has the opportunity to build tunnels between cities. The tunnels are two-way roads along which one can move armies undetected by the enemy. However, no more than one tunnel can be connected to each city. As for Vasya, he wants to build a network of tunnels so that any pair of cities in his state were reachable by some path consisting of roads and a tunnels. But at that no more than <span class=\"tex-span\"><i>k</i></span> tunnels are connected to each province (otherwise, the province will be difficult to keep in case other provinces are captured by enemy armies).</p><p>Vasya discovered that maybe he will not be able to build such a network for the current condition of the state. Maybe he'll have first to build several roads between cities in different provinces to merge the provinces. Your task is to determine the minimum number of roads Vasya needs to build so that it was possible to build the required network of tunnels in the resulting state.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>m</i></span> and <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i>, <i>k</i> ≤ 10<sup class=\"upper-index\">6</sup>, 0 ≤ <i>m</i> ≤ 10<sup class=\"upper-index\">6</sup></span>). Each of the next <span class=\"tex-span\"><i>m</i></span> lines contains two integers. They are the numbers of cities connected by a corresponding road. No road connects city to itself and there is at most one road between each pair of cities.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number, the minimum number of additional roads.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 3 2<br/>1 2<br/>2 3<br/>3 1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 2 2<br/>1 2<br/>3 4<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 0 2<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first example only one province exists, so it is not necessary to build any tunnels or roads.</p><p>In the second example two provinces exist. It is possible to merge the provinces by building a tunnel between cities 1 and 3.</p><p>In the third example at least one additional road is necessary. For example it is possible to build additional road between cities 1 and 2 and build two tunnels between cities 1 and 3, 2 and 4 after that.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"853356413f490977d821e79606372e70\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - D - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"148f05fde0bd627058e4b2e310683dd4218d4557\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - D - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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href=\"/blog/entry/1700\" title=\"Codeforces Beta Round #66 editorial: Problems A, B, C\" target=\"_blank\">Tutorial #1</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"837:838\" resourceName=\"Tutorial #1\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1710\" title=\"Codeforces Beta Round #66 editorial: Problems D, E, F\" target=\"_blank\">Tutorial #2</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"839:840\" resourceName=\"Tutorial #2\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: 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\"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"D\" data-uuid=\"ps_6a1baf77c3bb54a21671d30c80c1e0b59e751262\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. FreeDiv</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>5 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays FreeDiv. In this game he manages a huge state, which has <span class=\"tex-span\"><i>n</i></span> cities and <span class=\"tex-span\"><i>m</i></span> two-way roads between them. Unfortunately, not from every city you can reach any other one moving along these roads. Therefore Vasya decided to divide the state into provinces so that in every province, one could reach from every city all the cities of the province, but there are no roads between provinces. </p><p>Unlike other turn-based strategies, in FreeDiv a player has the opportunity to build tunnels between cities. The tunnels are two-way roads along which one can move armies undetected by the enemy. However, no more than one tunnel can be connected to each city. As for Vasya, he wants to build a network of tunnels so that any pair of cities in his state were reachable by some path consisting of roads and a tunnels. But at that no more than <span class=\"tex-span\"><i>k</i></span> tunnels are connected to each province (otherwise, the province will be difficult to keep in case other provinces are captured by enemy armies).</p><p>Vasya discovered that maybe he will not be able to build such a network for the current condition of the state. Maybe he'll have first to build several roads between cities in different provinces to merge the provinces. Your task is to determine the minimum number of roads Vasya needs to build so that it was possible to build the required network of tunnels in the resulting state.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>m</i></span> and <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i>, <i>k</i> ≤ 10<sup class=\"upper-index\">6</sup>, 0 ≤ <i>m</i> ≤ 10<sup class=\"upper-index\">6</sup></span>). Each of the next <span class=\"tex-span\"><i>m</i></span> lines contains two integers. They are the numbers of cities connected by a corresponding road. No road connects city to itself and there is at most one road between each pair of cities.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number, the minimum number of additional roads.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 3 2<br />1 2<br />2 3<br />3 1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 2 2<br />1 2<br />3 4<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 0 2<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first example only one province exists, so it is not necessary to build any tunnels or roads.</p><p>In the second example two provinces exist. It is possible to merge the provinces by building a tunnel between cities 1 and 3.</p><p>In the third example at least one additional road is necessary. 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:35</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" 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class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='cfc67b8f552397d8e803b0d5178e1177'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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Problems A, B, C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/I_Remember_Olya_ashmelev\" title=\"Grandmaster I_Remember_Olya_ashmelev\" class=\"rated-user user-red\">I_Remember_Olya_ashmelev</a>,\r\n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div><p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem A.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s call the monster dimension sizes as <i>x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub></i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">1. <i>O(min(k, x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub>)) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We can make at most <i>(x<sub>1</sub> – 1) + (x<sub>2</sub> – 1) + (x<sub>3</sub> – 1)</i> cuttings, so we may assume that <i>k <= x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub> – 3</i>. For each of the three dimensions we will store an integer <i>a<sub>i</sub></i> – number of cuttings performed through the corresponding dimension. Let’s perform the following actions <i>k</i> times: consider all numbers <i>a<sub>i</sub> </i>which we may increase (<i>a<sub>i</sub> < x<sub>i</sub> - 1</i>) , call these dimensions “uncompleted”. Select the minimum number <i>a<sub>j</sub></i> among all uncompleted <i>a<sub>i</sub></i> and perform a cut through the corresponding dimension (<i>a<sub>j</sub></i> will be increased by 1 as the result). Now let’s consider the resulting set after <i>k</i> actions: <i>{a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>}</i>. Using the described algorithm we grant that the maximum element of this set is as little as possible and the minimum element is as big as possible. Because the sum <i>a<sub>1</sub> + a<sub>2</sub> + a<sub>3</sub> = k</i> is fixed, we get the maximum product <i>(a<sub>1</sub> + 1) * (a<sub>2</sub> + 1) * (a<sub>3</sub> + 1)</i> which is the answer for the problem.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">2. <i>O(1) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Instead of simulation all the <i>k</i> actions we may quickly determine values of numbers <i>a<sub>i</sub></i> after using the algorithm described above.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let <i>x</i> – the smallest value among <i>(x<sub>i </sub>– 1)</i>. When <i>x * 3 >= k</i> on each of the algorithm iterations all three dimensions will be uncompleted. It means that during the first <i>(k / 3) * 3</i> steps each of numbers <i>a<sub>i</sub></i> will be increased by <i>(k / 3)</i>. Then 0, 1 or 2 numbers <i>a<sub>i</sub></i> will be increased by 1 subject to value of <i>k % 3</i>. So</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">, </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">found</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">values</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">a<sub>i</sub></span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Otherwise (<i>x * 3 < k</i>) during the first <i>x * 3</i> steps each of <i>a<sub>i</sub></i> will be increased by <i>x</i>. After that we will have at most two uncompleted dimensions which can be processed a similar way (we should choose the minimum value <i>x</i> among the remaining uncompleted dimensions).</span></p> <p><span lang=\"EN-US\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem B.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We may assume that we have exactly <i>n</i> awarded places but some of them give 0 points.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s sort places by amount of points (<i>b<sub>i</sub></i>) and racers by amount of currently gained points (<i>a<sub>i</sub></i>). First let’s find the best place Vasya can reach. In the best case he will get <i>b<sub>0</sub></i> points (where <i>b<sub>0</sub></i> is the greatest number among <i>b<sub>i</sub></i>). So, let the total Vasya’s point is <i>v</i>. Now we should to distribute other prize points to racers so that the number of racers better than Vasya will be minimal. For doing that we are to give maximum number of prizes so that corresponding racers will have less than <i>v </i>points. Note that if we can give <i>k</i> prizes keeping this property, than we can give <i>k</i> “cheapest” prizes too. The following statement is also true: if we can get a prize with <i>t</i> points to racer <i>i</i> and to racer <i>j</i> , <i>a<sub>i</sub> > a<sub>j</sub></i>, then it is better to give this prize to racer <i>i</i>. Formally: if there exists a way to give <i>k</i> prizes where this prize will get racer <i>j</i>, than there exists a way to give <i>k</i> prizes where this prize will get racer <i>i</i>. It can be proven the following way. Consider a way to give <i>k</i> prizes where racer <i>j</i> got prize with <i>t</i> points, racer <i>i</i> – <i>s</i> points or didn’t get prize at all. In the first case we can swap prizes for racers <i>i</i> and <i>j</i>: <i>a<sub>i</sub> > a<sub>j</sub></i> and <i>a<sub>i</sub> + s < v</i> (since racer <i>i</i> have got the prize), so <i>a<sub>j</sub> + s < v</i>, and <i>a<sub>i</sub> + t < v</i> i.e. this change is acceptable. In the second case we can just give the prize <i>t</i> to racer <i>i</i> instead of racer <i>j</i>. In the both cases we get a way to give <i>k</i> prizes where racer <i>i</i> receive prize<i> t</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Now including this statement we may give prizes to racers using the following greedy algorithm. Let’s begin to give prizes starting from the cheapest one and check the racers starting from the best one (of course excluding Vasya and the best prize). For each prize <i>i</i> we will go through the racers until applicable racer (<i>j</i>) found: <i>b<sub>i</sub> + a<sub>j</sub> < v</i>. If no such racers remain we are unable to give more prizes without violating the rule (racers should have less than <i>v</i> points). In this case we should stop the algorithm and the answer is <i>n – k </i>where <i>k</i> is the number of prizes we have given. If we have found such racer <i>j</i> we can give him prize <i>b<sub>i</sub></i> and go to the next prize. Complexity of this step is <i>O(n)</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Similarly we can find the worst place for Vasya. For doing that we should give him the cheapest prize (note it may have positive points though). After that we should distribute the prizes iterating over prizes from the largest to cheapest and check racers from the worst to the best one trying to make sum of racer’s points more than <i>v</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Total complexity of the described algorithm is <i>O(n * log(n))</i> because we have to sort prizes and racers.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem C.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">It is easy to see that if we put some symbol <i>c</i> at position <i>p</i> of the string <i>s</i> it will not affect symbols at positions (<i>p+2</i>) and greater. So</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have a</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">standard</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">DP</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">problem</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">. </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">State of the dynamic is described by three parameters: <i>p</i> – the number of already processed symbols (or the index of currently processed symbol of the string), <i>c</i> – the previous symbol, <i>t</i> – the number of allowed symbol changes. To calculate the answer for a state we should choose the best value among all symbols for current position (when <i>t > 0</i>) or just go to the index (<i>p + 1</i>) with current symbol <i>s[p]</i>. Thus we get the followings formulas:</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[n][*][*] = 0</span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = d[p + 1][s[p]][t] + bonus[c][s[p]] </span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">when<i> t = 0</i></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = max(d[p + 1][c’][t – (c’ <> s[p])] + bonus[c][c’])</span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">where <i>n</i> is the length of string <i>s</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Computation complexity of the algorithm is <i>O(n * k * h^2)</i>, where <i>h</i> is the alphabet size (<i>h = 26</i> for current problem).<b></b></span></p></div><div /></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/73\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 66</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-368-1700\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"368\",\n blogEntryId: \"1700\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+66\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round 66</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-11</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/I_Remember_Olya_ashmelev\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/I_Remember_Olya_ashmelev\">\n I_Remember_Olya_ashmelev\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1700#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1700#comments\">\n 2\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1710\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (2)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"628513\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/time_14_07\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1315340/avatar/caa9501b0e90f618.jpg'/> </a>\n <div><a href=\"/profile/time_14_07\" title=\"Newbie time_14_07\" class=\"rated-user user-gray\">time_14_07</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/24/2020 15:40\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-628513\" href=\"?#comment-628513\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"628513\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"-8\"\r\n data-commentUserId=\"1315340\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-628513\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Please anyone explain problem C DP problem. It's states and recurrence relation.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-628513 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-628513 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-628513\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"781701\" commentParentId=\"628513\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/arman.t\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/arman.t\" title=\"Expert arman.t\" class=\"rated-user user-blue\">arman.t</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/18/2021 20:45\">2 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-781701\" href=\"?#comment-781701\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-628513\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"781701\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"208522\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-781701\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You can take a look at solution <a href=\"/contest/73/submission/113434456\" title=\"Submission 113434456 by arman.t\">113434456</a>, I think it's a bit more intuitive than in the Editorial.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-781701 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-781701 en false\" 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Morrowindows"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Morrowindows</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays The Elder Trolls III: Morrowindows. He has a huge list of items in the inventory, however, there is no limits on the size of things. Vasya does not know the total amount of items but he is sure that are not more than <span class=\"tex-span\"><i>x</i></span> and not less than <span class=\"tex-span\">2</span> items in his inventory. A new patch for the game appeared to view inventory in <span class=\"tex-span\"><i>n</i></span> different modes. Displaying in mode <span class=\"tex-span\"><i>i</i></span> is a partition of all inventory items on pages, each of which (except for maybe the last one) shows exactly <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> items. In addition, each mode shows how many pages <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> is in a complete list. Great! Perhaps this information will be enough for Vasya to find the required number. Moreover, it is very interesting, what is the fewest number of modes in which Vasya can see inventory to determine the number of items in it?</p><p><span class=\"tex-font-style-bf\">Vasya cannot use the information that was received while looking on inventory in some mode for selection of next actions. I. e. Vasya chooses some set of modes first, and then sees all the results and determines the size.</span></p><p>Knowing the number of <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span>, <span class=\"tex-span\"><i>x</i></span> and assuming that Vasya is very smart, check whether he can uniquely determine the number of items in his inventory, and how many modes he will need to do that if he knows numbers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span>, <span class=\"tex-span\"><i>x</i></span> and he is able to know number <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> after viewing items in mode <span class=\"tex-span\"><i>i</i></span>.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>x</i></span> (<span class=\"tex-span\">0 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">5</sup>, 2 ≤ <i>x</i> ≤ 10<sup class=\"upper-index\">9</sup></span>). The second line contains integers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">9</sup></span>). Some numbers among all <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> may be equal.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the fewest amount of modes required to uniquely determine amount of items in the inventory. If there is no solution output <span class=\"tex-span\"> - 1</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2 4<br/>2 3<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>1 4<br/>2<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>-1<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the second example Vasya is not able to determine items count uniquely because 3 items, as well as 4 items, can be displayed on two pages.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"0ac0c32a1e5c9f55557eeba621654e72\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - E - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"148f05fde0bd627058e4b2e310683dd4218d4557\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - E - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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class=\"header\"><div class=\"title\">E. Morrowindows</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays The Elder Trolls III: Morrowindows. He has a huge list of items in the inventory, however, there is no limits on the size of things. Vasya does not know the total amount of items but he is sure that are not more than <span class=\"tex-span\"><i>x</i></span> and not less than <span class=\"tex-span\">2</span> items in his inventory. A new patch for the game appeared to view inventory in <span class=\"tex-span\"><i>n</i></span> different modes. Displaying in mode <span class=\"tex-span\"><i>i</i></span> is a partition of all inventory items on pages, each of which (except for maybe the last one) shows exactly <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> items. In addition, each mode shows how many pages <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> is in a complete list. Great! Perhaps this information will be enough for Vasya to find the required number. Moreover, it is very interesting, what is the fewest number of modes in which Vasya can see inventory to determine the number of items in it?</p><p><span class=\"tex-font-style-bf\">Vasya cannot use the information that was received while looking on inventory in some mode for selection of next actions. I. e. Vasya chooses some set of modes first, and then sees all the results and determines the size.</span></p><p>Knowing the number of <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span>, <span class=\"tex-span\"><i>x</i></span> and assuming that Vasya is very smart, check whether he can uniquely determine the number of items in his inventory, and how many modes he will need to do that if he knows numbers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span>, <span class=\"tex-span\"><i>x</i></span> and he is able to know number <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> after viewing items in mode <span class=\"tex-span\"><i>i</i></span>.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>x</i></span> (<span class=\"tex-span\">0 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">5</sup>, 2 ≤ <i>x</i> ≤ 10<sup class=\"upper-index\">9</sup></span>). The second line contains integers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">9</sup></span>). Some numbers among all <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> may be equal.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the fewest amount of modes required to uniquely determine amount of items in the inventory. If there is no solution output <span class=\"tex-span\"> - 1</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2 4<br />2 3<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>1 4<br />2<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>-1<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the second example Vasya is not able to determine items count uniquely because 3 items, as well as 4 items, can be displayed on two pages.</p></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=E]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:35</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='cfc67b8f552397d8e803b0d5178e1177'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a 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style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div 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class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New 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title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> 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Problems A, B, C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/I_Remember_Olya_ashmelev\" title=\"Grandmaster I_Remember_Olya_ashmelev\" class=\"rated-user user-red\">I_Remember_Olya_ashmelev</a>,\r\n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div><p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem A.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s call the monster dimension sizes as <i>x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub></i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">1. <i>O(min(k, x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub>)) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We can make at most <i>(x<sub>1</sub> – 1) + (x<sub>2</sub> – 1) + (x<sub>3</sub> – 1)</i> cuttings, so we may assume that <i>k <= x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub> – 3</i>. For each of the three dimensions we will store an integer <i>a<sub>i</sub></i> – number of cuttings performed through the corresponding dimension. Let’s perform the following actions <i>k</i> times: consider all numbers <i>a<sub>i</sub> </i>which we may increase (<i>a<sub>i</sub> < x<sub>i</sub> - 1</i>) , call these dimensions “uncompleted”. Select the minimum number <i>a<sub>j</sub></i> among all uncompleted <i>a<sub>i</sub></i> and perform a cut through the corresponding dimension (<i>a<sub>j</sub></i> will be increased by 1 as the result). Now let’s consider the resulting set after <i>k</i> actions: <i>{a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>}</i>. Using the described algorithm we grant that the maximum element of this set is as little as possible and the minimum element is as big as possible. Because the sum <i>a<sub>1</sub> + a<sub>2</sub> + a<sub>3</sub> = k</i> is fixed, we get the maximum product <i>(a<sub>1</sub> + 1) * (a<sub>2</sub> + 1) * (a<sub>3</sub> + 1)</i> which is the answer for the problem.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">2. <i>O(1) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Instead of simulation all the <i>k</i> actions we may quickly determine values of numbers <i>a<sub>i</sub></i> after using the algorithm described above.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let <i>x</i> – the smallest value among <i>(x<sub>i </sub>– 1)</i>. When <i>x * 3 >= k</i> on each of the algorithm iterations all three dimensions will be uncompleted. It means that during the first <i>(k / 3) * 3</i> steps each of numbers <i>a<sub>i</sub></i> will be increased by <i>(k / 3)</i>. Then 0, 1 or 2 numbers <i>a<sub>i</sub></i> will be increased by 1 subject to value of <i>k % 3</i>. So</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">, </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">found</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">values</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">a<sub>i</sub></span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Otherwise (<i>x * 3 < k</i>) during the first <i>x * 3</i> steps each of <i>a<sub>i</sub></i> will be increased by <i>x</i>. After that we will have at most two uncompleted dimensions which can be processed a similar way (we should choose the minimum value <i>x</i> among the remaining uncompleted dimensions).</span></p> <p><span lang=\"EN-US\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem B.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We may assume that we have exactly <i>n</i> awarded places but some of them give 0 points.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s sort places by amount of points (<i>b<sub>i</sub></i>) and racers by amount of currently gained points (<i>a<sub>i</sub></i>). First let’s find the best place Vasya can reach. In the best case he will get <i>b<sub>0</sub></i> points (where <i>b<sub>0</sub></i> is the greatest number among <i>b<sub>i</sub></i>). So, let the total Vasya’s point is <i>v</i>. Now we should to distribute other prize points to racers so that the number of racers better than Vasya will be minimal. For doing that we are to give maximum number of prizes so that corresponding racers will have less than <i>v </i>points. Note that if we can give <i>k</i> prizes keeping this property, than we can give <i>k</i> “cheapest” prizes too. The following statement is also true: if we can get a prize with <i>t</i> points to racer <i>i</i> and to racer <i>j</i> , <i>a<sub>i</sub> > a<sub>j</sub></i>, then it is better to give this prize to racer <i>i</i>. Formally: if there exists a way to give <i>k</i> prizes where this prize will get racer <i>j</i>, than there exists a way to give <i>k</i> prizes where this prize will get racer <i>i</i>. It can be proven the following way. Consider a way to give <i>k</i> prizes where racer <i>j</i> got prize with <i>t</i> points, racer <i>i</i> – <i>s</i> points or didn’t get prize at all. In the first case we can swap prizes for racers <i>i</i> and <i>j</i>: <i>a<sub>i</sub> > a<sub>j</sub></i> and <i>a<sub>i</sub> + s < v</i> (since racer <i>i</i> have got the prize), so <i>a<sub>j</sub> + s < v</i>, and <i>a<sub>i</sub> + t < v</i> i.e. this change is acceptable. In the second case we can just give the prize <i>t</i> to racer <i>i</i> instead of racer <i>j</i>. In the both cases we get a way to give <i>k</i> prizes where racer <i>i</i> receive prize<i> t</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Now including this statement we may give prizes to racers using the following greedy algorithm. Let’s begin to give prizes starting from the cheapest one and check the racers starting from the best one (of course excluding Vasya and the best prize). For each prize <i>i</i> we will go through the racers until applicable racer (<i>j</i>) found: <i>b<sub>i</sub> + a<sub>j</sub> < v</i>. If no such racers remain we are unable to give more prizes without violating the rule (racers should have less than <i>v</i> points). In this case we should stop the algorithm and the answer is <i>n – k </i>where <i>k</i> is the number of prizes we have given. If we have found such racer <i>j</i> we can give him prize <i>b<sub>i</sub></i> and go to the next prize. Complexity of this step is <i>O(n)</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Similarly we can find the worst place for Vasya. For doing that we should give him the cheapest prize (note it may have positive points though). After that we should distribute the prizes iterating over prizes from the largest to cheapest and check racers from the worst to the best one trying to make sum of racer’s points more than <i>v</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Total complexity of the described algorithm is <i>O(n * log(n))</i> because we have to sort prizes and racers.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem C.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">It is easy to see that if we put some symbol <i>c</i> at position <i>p</i> of the string <i>s</i> it will not affect symbols at positions (<i>p+2</i>) and greater. So</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have a</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">standard</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">DP</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">problem</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">. </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">State of the dynamic is described by three parameters: <i>p</i> – the number of already processed symbols (or the index of currently processed symbol of the string), <i>c</i> – the previous symbol, <i>t</i> – the number of allowed symbol changes. To calculate the answer for a state we should choose the best value among all symbols for current position (when <i>t > 0</i>) or just go to the index (<i>p + 1</i>) with current symbol <i>s[p]</i>. Thus we get the followings formulas:</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[n][*][*] = 0</span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = d[p + 1][s[p]][t] + bonus[c][s[p]] </span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">when<i> t = 0</i></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = max(d[p + 1][c’][t – (c’ <> s[p])] + bonus[c][c’])</span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">where <i>n</i> is the length of string <i>s</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Computation complexity of the algorithm is <i>O(n * k * h^2)</i>, where <i>h</i> is the alphabet size (<i>h = 26</i> for current problem).<b></b></span></p></div><div /></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/73\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 66</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-368-1700\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"368\",\n blogEntryId: \"1700\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+66\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round 66</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-11</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/I_Remember_Olya_ashmelev\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/I_Remember_Olya_ashmelev\">\n I_Remember_Olya_ashmelev\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1700#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1700#comments\">\n 2\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1710\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (2)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"628513\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/time_14_07\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1315340/avatar/caa9501b0e90f618.jpg'/> </a>\n <div><a href=\"/profile/time_14_07\" title=\"Newbie time_14_07\" class=\"rated-user user-gray\">time_14_07</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/24/2020 15:40\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-628513\" href=\"?#comment-628513\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"628513\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"-8\"\r\n data-commentUserId=\"1315340\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-628513\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Please anyone explain problem C DP problem. It's states and recurrence relation.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-628513 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-628513 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-628513\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"781701\" commentParentId=\"628513\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/arman.t\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/arman.t\" title=\"Expert arman.t\" class=\"rated-user user-blue\">arman.t</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/18/2021 20:45\">2 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-781701\" href=\"?#comment-781701\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-628513\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"781701\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"208522\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-781701\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You can take a look at solution <a href=\"/contest/73/submission/113434456\" title=\"Submission 113434456 by arman.t\">113434456</a>, I think it's a bit more intuitive than in the Editorial.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-781701 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-781701 en false\" 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Plane of Tanks"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">F. Plane of Tanks</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>4 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays the Plane of Tanks. The tanks in this game keep trying to finish each other off. But your \"Pedalny\" is not like that... He just needs to drive in a straight line from point <span class=\"tex-span\"><i>A</i></span> to point B on the plane. Unfortunately, on the same plane are <span class=\"tex-span\"><i>n</i></span> enemy tanks. We shall regard all the tanks as points. At the initial moment of time Pedalny is at the point <span class=\"tex-span\"><i>A</i></span>. Enemy tanks would be happy to destroy it immediately, but initially their turrets are tuned in other directions. Specifically, for each tank we know the initial rotation of the turret <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (the angle in radians relative to the <span class=\"tex-span\"><i>OX</i></span> axis in the counterclockwise direction) and the maximum speed of rotation of the turret <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span> (radians per second). If at any point of time a tank turret will be aimed precisely at the tank Pedalny, then the enemy fires and it never misses. Pedalny can endure no more than <span class=\"tex-span\"><i>k</i></span> shots. Gun reloading takes very much time, so we can assume that every enemy will produce no more than one shot. Your task is to determine what minimum speed of <span class=\"tex-span\"><i>v</i></span> Pedalny must have to get to the point <span class=\"tex-span\"><i>B</i></span>. It is believed that Pedalny is able to instantly develop the speed of <span class=\"tex-span\"><i>v</i></span>, and the first <span class=\"tex-span\"><i>k</i></span> shots at him do not reduce the speed and do not change the coordinates of the tank.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains 4 numbers – the coordinates of points <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> (in meters), the points do not coincide. On the second line number <span class=\"tex-span\"><i>n</i></span> is given (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">4</sup></span>). It is the number of enemy tanks. Each of the following <span class=\"tex-span\"><i>n</i></span> lines contain the coordinates of a corresponding tank <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>y</i><sub class=\"lower-index\"><i>i</i></sub></span> and its parameters <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">0 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2π</span>, <span class=\"tex-span\">0 ≤ <i>w</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 100</span>). Numbers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span> contain at most 5 digits after the decimal point. All coordinates are integers and their absolute values do not exceed <span class=\"tex-span\">10<sup class=\"upper-index\">5</sup></span>. Enemy tanks can rotate a turret in the clockwise as well as in the counterclockwise direction at the angular speed of not more than <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span>. It is guaranteed that each of the enemy tanks will need at least <span class=\"tex-span\">0.1</span> seconds to aim at any point of the segment <span class=\"tex-span\"><i>AB</i></span> and each of the enemy tanks is posistioned no closer than <span class=\"tex-span\">0.1</span> meters to line <span class=\"tex-span\"><i>AB</i></span>. On the last line is given the number <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">0 ≤ <i>k</i> ≤ <i>n</i></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number with absolute or relative error no more than <span class=\"tex-span\">10<sup class=\"upper-index\"> - 4</sup></span> — the minimum required speed of Pedalny in meters per second.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>0 0 10 0<br/>1<br/>5 -5 4.71238 1<br/>0<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>4.2441<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>0 0 10 0<br/>1<br/>5 -5 4.71238 1<br/>1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0.0000<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"54f22e2f4ff399a5061b40cc97bba6a2\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - F - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"148f05fde0bd627058e4b2e310683dd4218d4557\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - F - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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}\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"F\" data-uuid=\"ps_910cc2c73dd260688ef15c601b0bf2e71f962c64\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">F. Plane of Tanks</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>4 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Vasya plays the Plane of Tanks. The tanks in this game keep trying to finish each other off. But your "Pedalny" is not like that... He just needs to drive in a straight line from point <span class=\"tex-span\"><i>A</i></span> to point B on the plane. Unfortunately, on the same plane are <span class=\"tex-span\"><i>n</i></span> enemy tanks. We shall regard all the tanks as points. At the initial moment of time Pedalny is at the point <span class=\"tex-span\"><i>A</i></span>. Enemy tanks would be happy to destroy it immediately, but initially their turrets are tuned in other directions. Specifically, for each tank we know the initial rotation of the turret <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (the angle in radians relative to the <span class=\"tex-span\"><i>OX</i></span> axis in the counterclockwise direction) and the maximum speed of rotation of the turret <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span> (radians per second). If at any point of time a tank turret will be aimed precisely at the tank Pedalny, then the enemy fires and it never misses. Pedalny can endure no more than <span class=\"tex-span\"><i>k</i></span> shots. Gun reloading takes very much time, so we can assume that every enemy will produce no more than one shot. Your task is to determine what minimum speed of <span class=\"tex-span\"><i>v</i></span> Pedalny must have to get to the point <span class=\"tex-span\"><i>B</i></span>. It is believed that Pedalny is able to instantly develop the speed of <span class=\"tex-span\"><i>v</i></span>, and the first <span class=\"tex-span\"><i>k</i></span> shots at him do not reduce the speed and do not change the coordinates of the tank.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains 4 numbers – the coordinates of points <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> (in meters), the points do not coincide. On the second line number <span class=\"tex-span\"><i>n</i></span> is given (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">4</sup></span>). It is the number of enemy tanks. Each of the following <span class=\"tex-span\"><i>n</i></span> lines contain the coordinates of a corresponding tank <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>y</i><sub class=\"lower-index\"><i>i</i></sub></span> and its parameters <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">0 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2π</span>, <span class=\"tex-span\">0 ≤ <i>w</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 100</span>). Numbers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span> contain at most 5 digits after the decimal point. All coordinates are integers and their absolute values do not exceed <span class=\"tex-span\">10<sup class=\"upper-index\">5</sup></span>. Enemy tanks can rotate a turret in the clockwise as well as in the counterclockwise direction at the angular speed of not more than <span class=\"tex-span\"><i>w</i><sub class=\"lower-index\"><i>i</i></sub></span>. It is guaranteed that each of the enemy tanks will need at least <span class=\"tex-span\">0.1</span> seconds to aim at any point of the segment <span class=\"tex-span\"><i>AB</i></span> and each of the enemy tanks is posistioned no closer than <span class=\"tex-span\">0.1</span> meters to line <span class=\"tex-span\"><i>AB</i></span>. On the last line is given the number <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">0 ≤ <i>k</i> ≤ <i>n</i></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number with absolute or relative error no more than <span class=\"tex-span\">10<sup class=\"upper-index\"> - 4</sup></span> — the minimum required speed of Pedalny in meters per second.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>0 0 10 0<br />1<br />5 -5 4.71238 1<br />0<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>4.2441<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>0 0 10 0<br />1<br />5 -5 4.71238 1<br />1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0.0000<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='cfc67b8f552397d8e803b0d5178e1177'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" 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Problems A, B, C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/I_Remember_Olya_ashmelev\" title=\"Grandmaster I_Remember_Olya_ashmelev\" class=\"rated-user user-red\">I_Remember_Olya_ashmelev</a>,\r\n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div><p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem A.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s call the monster dimension sizes as <i>x<sub>1</sub>, x<sub>2</sub>, x<sub>3</sub></i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">1. <i>O(min(k, x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub>)) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We can make at most <i>(x<sub>1</sub> – 1) + (x<sub>2</sub> – 1) + (x<sub>3</sub> – 1)</i> cuttings, so we may assume that <i>k <= x<sub>1</sub> + x<sub>2</sub> + x<sub>3</sub> – 3</i>. For each of the three dimensions we will store an integer <i>a<sub>i</sub></i> – number of cuttings performed through the corresponding dimension. Let’s perform the following actions <i>k</i> times: consider all numbers <i>a<sub>i</sub> </i>which we may increase (<i>a<sub>i</sub> < x<sub>i</sub> - 1</i>) , call these dimensions “uncompleted”. Select the minimum number <i>a<sub>j</sub></i> among all uncompleted <i>a<sub>i</sub></i> and perform a cut through the corresponding dimension (<i>a<sub>j</sub></i> will be increased by 1 as the result). Now let’s consider the resulting set after <i>k</i> actions: <i>{a<sub>1</sub>, a<sub>2</sub>, a<sub>3</sub>}</i>. Using the described algorithm we grant that the maximum element of this set is as little as possible and the minimum element is as big as possible. Because the sum <i>a<sub>1</sub> + a<sub>2</sub> + a<sub>3</sub> = k</i> is fixed, we get the maximum product <i>(a<sub>1</sub> + 1) * (a<sub>2</sub> + 1) * (a<sub>3</sub> + 1)</i> which is the answer for the problem.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">2. <i>O(1) </i>solution</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Instead of simulation all the <i>k</i> actions we may quickly determine values of numbers <i>a<sub>i</sub></i> after using the algorithm described above.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let <i>x</i> – the smallest value among <i>(x<sub>i </sub>– 1)</i>. When <i>x * 3 >= k</i> on each of the algorithm iterations all three dimensions will be uncompleted. It means that during the first <i>(k / 3) * 3</i> steps each of numbers <i>a<sub>i</sub></i> will be increased by <i>(k / 3)</i>. Then 0, 1 or 2 numbers <i>a<sub>i</sub></i> will be increased by 1 subject to value of <i>k % 3</i>. So</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">, </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">found</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">values</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">a<sub>i</sub></span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Otherwise (<i>x * 3 < k</i>) during the first <i>x * 3</i> steps each of <i>a<sub>i</sub></i> will be increased by <i>x</i>. After that we will have at most two uncompleted dimensions which can be processed a similar way (we should choose the minimum value <i>x</i> among the remaining uncompleted dimensions).</span></p> <p><span lang=\"EN-US\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem B.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">We may assume that we have exactly <i>n</i> awarded places but some of them give 0 points.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Let’s sort places by amount of points (<i>b<sub>i</sub></i>) and racers by amount of currently gained points (<i>a<sub>i</sub></i>). First let’s find the best place Vasya can reach. In the best case he will get <i>b<sub>0</sub></i> points (where <i>b<sub>0</sub></i> is the greatest number among <i>b<sub>i</sub></i>). So, let the total Vasya’s point is <i>v</i>. Now we should to distribute other prize points to racers so that the number of racers better than Vasya will be minimal. For doing that we are to give maximum number of prizes so that corresponding racers will have less than <i>v </i>points. Note that if we can give <i>k</i> prizes keeping this property, than we can give <i>k</i> “cheapest” prizes too. The following statement is also true: if we can get a prize with <i>t</i> points to racer <i>i</i> and to racer <i>j</i> , <i>a<sub>i</sub> > a<sub>j</sub></i>, then it is better to give this prize to racer <i>i</i>. Formally: if there exists a way to give <i>k</i> prizes where this prize will get racer <i>j</i>, than there exists a way to give <i>k</i> prizes where this prize will get racer <i>i</i>. It can be proven the following way. Consider a way to give <i>k</i> prizes where racer <i>j</i> got prize with <i>t</i> points, racer <i>i</i> – <i>s</i> points or didn’t get prize at all. In the first case we can swap prizes for racers <i>i</i> and <i>j</i>: <i>a<sub>i</sub> > a<sub>j</sub></i> and <i>a<sub>i</sub> + s < v</i> (since racer <i>i</i> have got the prize), so <i>a<sub>j</sub> + s < v</i>, and <i>a<sub>i</sub> + t < v</i> i.e. this change is acceptable. In the second case we can just give the prize <i>t</i> to racer <i>i</i> instead of racer <i>j</i>. In the both cases we get a way to give <i>k</i> prizes where racer <i>i</i> receive prize<i> t</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Now including this statement we may give prizes to racers using the following greedy algorithm. Let’s begin to give prizes starting from the cheapest one and check the racers starting from the best one (of course excluding Vasya and the best prize). For each prize <i>i</i> we will go through the racers until applicable racer (<i>j</i>) found: <i>b<sub>i</sub> + a<sub>j</sub> < v</i>. If no such racers remain we are unable to give more prizes without violating the rule (racers should have less than <i>v</i> points). In this case we should stop the algorithm and the answer is <i>n – k </i>where <i>k</i> is the number of prizes we have given. If we have found such racer <i>j</i> we can give him prize <i>b<sub>i</sub></i> and go to the next prize. Complexity of this step is <i>O(n)</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Similarly we can find the worst place for Vasya. For doing that we should give him the cheapest prize (note it may have positive points though). After that we should distribute the prizes iterating over prizes from the largest to cheapest and check racers from the worst to the best one trying to make sum of racer’s points more than <i>v</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Total complexity of the described algorithm is <i>O(n * log(n))</i> because we have to sort prizes and racers.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"><b>Problem C.</b></span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">It is easy to see that if we put some symbol <i>c</i> at position <i>p</i> of the string <i>s</i> it will not affect symbols at positions (<i>p+2</i>) and greater. So</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">we</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">have a</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">standard</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">DP</span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"> </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">problem</span><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">. </span><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">State of the dynamic is described by three parameters: <i>p</i> – the number of already processed symbols (or the index of currently processed symbol of the string), <i>c</i> – the previous symbol, <i>t</i> – the number of allowed symbol changes. To calculate the answer for a state we should choose the best value among all symbols for current position (when <i>t > 0</i>) or just go to the index (<i>p + 1</i>) with current symbol <i>s[p]</i>. Thus we get the followings formulas:</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[n][*][*] = 0</span></i><span style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = d[p + 1][s[p]][t] + bonus[c][s[p]] </span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">when<i> t = 0</i></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">d[p][c][t] = max(d[p + 1][c’][t – (c’ <> s[p])] + bonus[c][c’])</span></i><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\"></span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">where <i>n</i> is the length of string <i>s</i>.</span></p> <p style=\"margin-top: 12.0pt;margin-right: 0.0cm;margin-bottom: 12.0pt;margin-left: 0.0cm;\"><span lang=\"EN-US\" style=\"font-size: 12.0pt;font-family: "Times New Roman" , serif;color: black;\">Computation complexity of the algorithm is <i>O(n * k * h^2)</i>, where <i>h</i> is the alphabet size (<i>h = 26</i> for current problem).<b></b></span></p></div><div /></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/73\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 66</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-368-1700\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"368\",\n blogEntryId: \"1700\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+66\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round 66</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-11</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1700\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/I_Remember_Olya_ashmelev\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/I_Remember_Olya_ashmelev\">\n I_Remember_Olya_ashmelev\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/11/2011 05:48\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1700#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1700#comments\">\n 2\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1710\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (2)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"628513\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/time_14_07\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1315340/avatar/caa9501b0e90f618.jpg'/> </a>\n <div><a href=\"/profile/time_14_07\" title=\"Newbie time_14_07\" class=\"rated-user user-gray\">time_14_07</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/24/2020 15:40\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-628513\" href=\"?#comment-628513\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"628513\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"-8\"\r\n data-commentUserId=\"1315340\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-628513\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Please anyone explain problem C DP problem. It's states and recurrence relation.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-628513 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-628513 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-628513\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"781701\" commentParentId=\"628513\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/arman.t\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/arman.t\" title=\"Expert arman.t\" class=\"rated-user user-blue\">arman.t</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/18/2021 20:45\">2 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-781701\" href=\"?#comment-781701\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-628513\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"781701\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"208522\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-781701\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You can take a look at solution <a href=\"/contest/73/submission/113434456\" title=\"Submission 113434456 by arman.t\">113434456</a>, I think it's a bit more intuitive than in the Editorial.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-781701 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-781701 en false\" 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Room Leader"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Room Leader</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Let us remind you part of the rules of Codeforces. The given rules slightly simplified, use the problem statement as a formal document.</p><p>In the beginning of the round the contestants are divided into rooms. Each room contains exactly <span class=\"tex-span\"><i>n</i></span> participants. During the contest the participants are suggested to solve five problems, <span class=\"tex-span\"><i>A</i></span>, <span class=\"tex-span\"><i>B</i></span>, <span class=\"tex-span\"><i>C</i></span>, <span class=\"tex-span\"><i>D</i></span> and <span class=\"tex-span\"><i>E</i></span>. For each of these problem, depending on when the given problem was solved and whether it was solved at all, the participants receive some points. Besides, a contestant can perform hacks on other contestants. For each successful hack a contestant earns <span class=\"tex-span\">100</span> points, for each unsuccessful hack a contestant loses <span class=\"tex-span\">50</span> points. The number of points for every contestant is represented by the sum of points he has received from all his problems, including hacks.</p><p>You are suggested to determine the leader for some room; the leader is a participant who has maximum points.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains an integer <span class=\"tex-span\"><i>n</i></span>, which is the number of contestants in the room (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 50</span>). The next <span class=\"tex-span\"><i>n</i></span> lines contain the participants of a given room. The <span class=\"tex-span\"><i>i</i></span>-th line has the format of \"<span class=\"tex-span\"><i>handle</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>plus</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>minus</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>c</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>d</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>e</i><sub class=\"lower-index\"><i>i</i></sub></span>\" — it is the handle of a contestant, the number of successful hacks, the number of unsuccessful hacks and the number of points he has received from problems <span class=\"tex-span\"><i>A</i></span>, <span class=\"tex-span\"><i>B</i></span>, <span class=\"tex-span\"><i>C</i></span>, <span class=\"tex-span\"><i>D</i></span>, <span class=\"tex-span\"><i>E</i></span> correspondingly. The handle of each participant consists of Latin letters, digits and underscores and has the length from <span class=\"tex-span\">1</span> to <span class=\"tex-span\">20</span> characters. There are the following limitations imposed upon the numbers: </p><ul> <li> <span class=\"tex-span\">0 ≤ <i>plus</i><sub class=\"lower-index\"><i>i</i></sub>, <i>minus</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 50</span>; </li><li> <span class=\"tex-span\">150 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 500</span> or <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>A</i></span> is not solved; </li><li> <span class=\"tex-span\">300 ≤ <i>b</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 1000</span> or <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>B</i></span> is not solved; </li><li> <span class=\"tex-span\">450 ≤ <i>c</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 1500</span> or <span class=\"tex-span\"><i>c</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>C</i></span> is not solved; </li><li> <span class=\"tex-span\">600 ≤ <i>d</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2000</span> or <span class=\"tex-span\"><i>d</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>D</i></span> is not solved; </li><li> <span class=\"tex-span\">750 ≤ <i>e</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2500</span> or <span class=\"tex-span\"><i>e</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>E</i></span> is not solved. </li></ul><p>All the numbers are integer. All the participants have different handles. It is guaranteed that there is exactly one leader in the room (i.e. there are no two participants with the maximal number of points).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print on the single line the handle of the room leader.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5<br/>Petr 3 1 490 920 1000 1200 0<br/>tourist 2 0 490 950 1100 1400 0<br/>Egor 7 0 480 900 950 0 1000<br/>c00lH4x0R 0 10 150 0 0 0 0<br/>some_participant 2 1 450 720 900 0 0<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>tourist</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>The number of points that each participant from the example earns, are as follows: </p><ul> <li> <span class=\"tex-font-style-tt\">Petr</span> — <span class=\"tex-span\">3860</span> </li><li> <span class=\"tex-font-style-tt\">tourist</span> — <span class=\"tex-span\">4140</span> </li><li> <span class=\"tex-font-style-tt\">Egor</span> — <span class=\"tex-span\">4030</span> </li><li> <span class=\"tex-font-style-tt\">c00lH4x0R</span> — <span class=\"tex-span\"> - 350</span> </li><li> <span class=\"tex-font-style-tt\">some_participant</span> — <span class=\"tex-span\">2220</span> </li></ul><p>Thus, the leader of the room is <span class=\"tex-font-style-tt\">tourist</span>.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"25065387a8f20d19c1589f0e1ad42bf4\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - A - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"44540998231fa84510297c9552ba6dced880f43e\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - A - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/74\">Codeforces Beta Round 68</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/74/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Implementation problems, programming technics, simulation\">\r\n implementation\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1000\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='25065387a8f20d19c1589f0e1ad42bf4'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"402\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='25065387a8f20d19c1589f0e1ad42bf4'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"402\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box img\").click(function () {\r\n var tagName = $(this).attr(\"value\");\r\n Codeforces.confirm(\"Are you sure you want to remove this tag?\", function () {\r\n $(\"#removeTagForm input[name=tagName]\").val(tagName);\r\n $(\"#removeTagForm\").submit();\r\n }, function () {\r\n }, \"Yes\", \"No\");\r\n });\r\n\r\n $(\"#addTagLink\").click(function () {\r\n $(this).hide();\r\n $(\"#addTagLabel\").show();\r\n return false;\r\n });\r\n\r\n $(\"#addTagSelect\").change(function () {\r\n var tagName = 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class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1730\" title=\"Codeforces Beta Round #68\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"256:257\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1735\" title=\"Codeforces Beta Round #68, solutions problem A and problem C\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"845\" resourceName=\"Codeforces Beta Round #68, solutions problem A and problem C\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1731\" title=\"Solutions for Codeforces Beta Round #68\" target=\"_blank\">Tutorial #2</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"258:259\" resourceName=\"Tutorial #2\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/74\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/74/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/74/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/74/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/74/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/74/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/74/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/74/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 185, 185);\r\n padding: 3px;\r\n margin: 1px;\r\n line-height: 1.1rem;\r\n text-transform: none;\r\n }\r\n\r\n .input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(OPENING_SPACE);\r\n }\r\n\r\n if (node.nodeType === Node.TEXT_NODE) {\r\n let s = node.textContent;\r\n if (!pre) {\r\n s = s.replace(/\\s+/g, \" \");\r\n }\r\n if (s.length > 0) {\r\n result.push(s);\r\n }\r\n }\r\n\r\n if (pre && node.tagName === \"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n result.push(nodeToText(child, node.tagName === \"PRE\").join(\"\"));\r\n });\r\n\r\n if (node.tagName === \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName === \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"A\" data-uuid=\"ps_2db7df5d344db7365ca26b103b02fa0370963619\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Room Leader</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Let us remind you part of the rules of Codeforces. The given rules slightly simplified, use the problem statement as a formal document.</p><p>In the beginning of the round the contestants are divided into rooms. Each room contains exactly <span class=\"tex-span\"><i>n</i></span> participants. During the contest the participants are suggested to solve five problems, <span class=\"tex-span\"><i>A</i></span>, <span class=\"tex-span\"><i>B</i></span>, <span class=\"tex-span\"><i>C</i></span>, <span class=\"tex-span\"><i>D</i></span> and <span class=\"tex-span\"><i>E</i></span>. For each of these problem, depending on when the given problem was solved and whether it was solved at all, the participants receive some points. Besides, a contestant can perform hacks on other contestants. For each successful hack a contestant earns <span class=\"tex-span\">100</span> points, for each unsuccessful hack a contestant loses <span class=\"tex-span\">50</span> points. The number of points for every contestant is represented by the sum of points he has received from all his problems, including hacks.</p><p>You are suggested to determine the leader for some room; the leader is a participant who has maximum points.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains an integer <span class=\"tex-span\"><i>n</i></span>, which is the number of contestants in the room (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 50</span>). The next <span class=\"tex-span\"><i>n</i></span> lines contain the participants of a given room. The <span class=\"tex-span\"><i>i</i></span>-th line has the format of "<span class=\"tex-span\"><i>handle</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>plus</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>minus</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>c</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>d</i><sub class=\"lower-index\"><i>i</i></sub></span> <span class=\"tex-span\"><i>e</i><sub class=\"lower-index\"><i>i</i></sub></span>" — it is the handle of a contestant, the number of successful hacks, the number of unsuccessful hacks and the number of points he has received from problems <span class=\"tex-span\"><i>A</i></span>, <span class=\"tex-span\"><i>B</i></span>, <span class=\"tex-span\"><i>C</i></span>, <span class=\"tex-span\"><i>D</i></span>, <span class=\"tex-span\"><i>E</i></span> correspondingly. The handle of each participant consists of Latin letters, digits and underscores and has the length from <span class=\"tex-span\">1</span> to <span class=\"tex-span\">20</span> characters. There are the following limitations imposed upon the numbers: </p><ul> <li> <span class=\"tex-span\">0 ≤ <i>plus</i><sub class=\"lower-index\"><i>i</i></sub>, <i>minus</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 50</span>; </li><li> <span class=\"tex-span\">150 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 500</span> or <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>A</i></span> is not solved; </li><li> <span class=\"tex-span\">300 ≤ <i>b</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 1000</span> or <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>B</i></span> is not solved; </li><li> <span class=\"tex-span\">450 ≤ <i>c</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 1500</span> or <span class=\"tex-span\"><i>c</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>C</i></span> is not solved; </li><li> <span class=\"tex-span\">600 ≤ <i>d</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2000</span> or <span class=\"tex-span\"><i>d</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>D</i></span> is not solved; </li><li> <span class=\"tex-span\">750 ≤ <i>e</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2500</span> or <span class=\"tex-span\"><i>e</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, if problem <span class=\"tex-span\"><i>E</i></span> is not solved. </li></ul><p>All the numbers are integer. All the participants have different handles. It is guaranteed that there is exactly one leader in the room (i.e. there are no two participants with the maximal number of points).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print on the single line the handle of the room leader.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5<br />Petr 3 1 490 920 1000 1200 0<br />tourist 2 0 490 950 1100 1400 0<br />Egor 7 0 480 900 950 0 1000<br />c00lH4x0R 0 10 150 0 0 0 0<br />some_participant 2 1 450 720 900 0 0<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>tourist</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>The number of points that each participant from the example earns, are as follows: </p><ul> <li> <span class=\"tex-font-style-tt\">Petr</span> — <span class=\"tex-span\">3860</span> </li><li> <span class=\"tex-font-style-tt\">tourist</span> — <span class=\"tex-span\">4140</span> </li><li> <span class=\"tex-font-style-tt\">Egor</span> — <span class=\"tex-span\">4030</span> </li><li> <span class=\"tex-font-style-tt\">c00lH4x0R</span> — <span class=\"tex-span\"> - 350</span> </li><li> <span class=\"tex-font-style-tt\">some_participant</span> — <span class=\"tex-span\">2220</span> </li></ul><p>Thus, the leader of the room is <span class=\"tex-font-style-tt\">tourist</span>.</p></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=A]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n 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none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='551f41b3feb602cc1f82f6f8ff9e24d1'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/vudduu\">vudduu</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/vudduu\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/vudduu\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/vudduu\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/vudduu\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/vudduu\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/vudduu\" style=\"text-decoration:none;color:black !important;\">vudduu's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1735\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1735\"> Codeforces Beta Round #68, solutions problem A and problem C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/vudduu\" title=\"Expert vudduu\" class=\"rated-user user-blue\">vudduu</a>,\r\n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">For problem C, I did a little explanation<div><br /></div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem.html\">Problem A</a> Room Leader (Sort, C++)</div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem-c.html\">Problem C</a> Chessboard Billar (DFS, C++)</div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/74\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 68</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-850-1735\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"850\",\n blogEntryId: \"1735\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=c%2B%2B\" class=\"tag notice\" style=\"text-decoration: none;\">c++</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2368\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #68</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-14</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/vudduu\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/vudduu\">\n vudduu\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1735#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1735#comments\">\n 4\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1745\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (3)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042003\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ayush19jul\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2445411/avatar/299d1e7dd0d245e4.jpg'/> </a>\n <div><a href=\"/profile/ayush19jul\" title=\"Newbie ayush19jul\" class=\"rated-user user-gray\">ayush19jul</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 13:42\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042003\" href=\"?#comment-1042003\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042003\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2445411\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042003\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>WTF!!!</p><p>worst editorial ever</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042003 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042003 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042003\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042019\" commentParentId=\"1042003\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Orifxon\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2378398/avatar/1080506c7d3bef1.jpg'/> </a>\n <div><a href=\"/profile/Orifxon\" title=\"Pupil Orifxon\" class=\"rated-user user-green\">Orifxon</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 15:02\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042019\" href=\"?#comment-1042019\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042003\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"1042019\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"1042019\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2378398\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042019\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You are writing comment on the blog that was made 12 years ago</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042019 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042019 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042019\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042072\" commentParentId=\"1042019\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/adityagamer\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443750/avatar/448db22a71a7f0e5.jpg'/> </a>\n <div><a href=\"/profile/adityagamer\" title=\"Candidate Master adityagamer\" class=\"rated-user user-violet\">adityagamer</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 16:41\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042072\" href=\"?#comment-1042072\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042019\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042072\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443750\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042072\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You too</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042072 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042072 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042072\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n 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Train"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Train</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>A stowaway and a controller play the following game. </p><p>The train is represented by <span class=\"tex-span\"><i>n</i></span> wagons which are numbered with positive integers from <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span> from the head to the tail. The stowaway and the controller are initially in some two different wagons. Every minute the train can be in one of two conditions — moving or idle. Every minute the players move.</p><p>The controller's move is as follows. The controller has the movement direction — to the train's head or to its tail. During a move the controller moves to the neighbouring wagon correspondingly to its movement direction. If at the end of his move the controller enters the <span class=\"tex-span\">1</span>-st or the <span class=\"tex-span\"><i>n</i></span>-th wagon, that he changes the direction of his movement into the other one. In other words, the controller cyclically goes from the train's head to its tail and back again during all the time of a game, shifting during each move by one wagon. Note, that the controller always have exactly one possible move.</p><p>The stowaway's move depends from the state of the train. If the train is moving, then the stowaway can shift to one of neighbouring wagons or he can stay where he is without moving. If the train is at a station and is idle, then the stowaway leaves the train (i.e. he is now not present in any train wagon) and then, if it is not the terminal train station, he enters the train again into any of <span class=\"tex-span\"><i>n</i></span> wagons (not necessarily into the one he's just left and not necessarily into the neighbouring one). If the train is idle for several minutes then each such minute the stowaway leaves the train and enters it back.</p><p>Let's determine the order of the players' moves. If at the given minute the train is moving, then first the stowaway moves and then the controller does. If at this minute the train is idle, then first the stowaway leaves the train, then the controller moves and then the stowaway enters the train.</p><p>If at some point in time the stowaway and the controller happen to be in one wagon, then the controller wins: he makes the stowaway pay fine. If after a while the stowaway reaches the terminal train station, then the stowaway wins: he simply leaves the station during his move and never returns there again.</p><p>At any moment of time the players know each other's positions. The players play in the optimal way. Specifically, if the controller wins, then the stowaway plays so as to lose as late as possible. As all the possible moves for the controller are determined uniquely, then he is considered to play optimally always. Determine the winner.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>m</i></span> and <span class=\"tex-span\"><i>k</i></span>. They represent the number of wagons in the train, the stowaway's and the controller's initial positions correspondingly (<span class=\"tex-span\">2 ≤ <i>n</i> ≤ 50</span>, <span class=\"tex-span\">1 ≤ <i>m</i>, <i>k</i> ≤ <i>n</i></span>, <span class=\"tex-span\"><i>m</i> ≠ <i>k</i></span>).</p><p>The second line contains the direction in which a controller moves. \"to head\" means that the controller moves to the train's head and \"to tail\" means that the controller moves to its tail. It is guaranteed that in the direction in which the controller is moving, there is at least one wagon. Wagon <span class=\"tex-span\">1</span> is the head, and wagon <span class=\"tex-span\"><i>n</i></span> is the tail.</p><p>The third line has the length from <span class=\"tex-span\">1</span> to <span class=\"tex-span\">200</span> and consists of symbols \"0\" and \"1\". The <span class=\"tex-span\"><i>i</i></span>-th symbol contains information about the train's state at the <span class=\"tex-span\"><i>i</i></span>-th minute of time. \"0\" means that in this very minute the train moves and \"1\" means that the train in this very minute stands idle. The last symbol of the third line is always \"1\" — that's the terminal train station.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>If the stowaway wins, print \"Stowaway\" without quotes. Otherwise, print \"Controller\" again without quotes, then, separated by a space, print the number of a minute, at which the stowaway will be caught.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5 3 2<br/>to head<br/>0001001<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Stowaway</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 2 1<br/>to tail<br/>0001<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Controller 2</pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"1a61f245f87af56a645b7f97bed47c98\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - B - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"44540998231fa84510297c9552ba6dced880f43e\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - B - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/74\">Codeforces Beta Round 68</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? Just register for practice and you will be able to submit solutions.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"\" method=\"post\"><input type='hidden' name='csrf_token' value='1a61f245f87af56a645b7f97bed47c98'/>\r\n <input type=\"hidden\" name=\"action\" value=\"registerForPractice\"/>\r\n <input type=\"submit\" name=\"submit\" value=\"Register for practice\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div> \r\n</div>\r\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox ContestVirtualFrame borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Virtual participation <i class=\"sidebar-caption-icon las la-angle-down\"></i>\r\n\n <div class=\"top-links\">\n </div>\n </div>\n<div style=\" \"\r\n\r\n data-page-url=\"/data/sidebarFrames\"\r\n\r\n>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/74/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Dynamic programming\">\r\n dp\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Games, Sprague–Grundy theorem\">\r\n games\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Greedy algorithms\">\r\n greedy\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1500\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='1a61f245f87af56a645b7f97bed47c98'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"403\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='1a61f245f87af56a645b7f97bed47c98'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"403\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box img\").click(function () {\r\n var tagName = $(this).attr(\"value\");\r\n Codeforces.confirm(\"Are you sure you want to remove this tag?\", function () {\r\n $(\"#removeTagForm input[name=tagName]\").val(tagName);\r\n $(\"#removeTagForm\").submit();\r\n }, function () {\r\n }, \"Yes\", \"No\");\r\n });\r\n\r\n $(\"#addTagLink\").click(function () {\r\n $(this).hide();\r\n $(\"#addTagLabel\").show();\r\n return false;\r\n });\r\n\r\n $(\"#addTagSelect\").change(function () {\r\n var tagName = $(this).val();\r\n if (tagName === \"\") {\r\n $(\"#addTagLabel\").hide();\r\n $(\"#addTagLink\").show();\r\n } else {\r\n $(\"#addTagForm input[name=tagName]\").val(tagName);\r\n $(\"#addTagForm\").submit();\r\n }\r\n });\r\n</script>\r\n\r\n<style type=\"text/css\">\r\n#new-resource-form tr td {\r\npadding-top: 0.5em;\r\n}\r\n#new-resource-form input:not([type=\"submit\"]) {\r\nfont-size: 0.8em;\r\n}\r\n#new-resource-form select {\r\nfont-size: 0.8em;\r\n}\r\n.new-resource-error {\r\nfont-size: 0.8em;\r\n}\r\n.resource-locale {\r\ncolor: #666;\r\nfont-family: Consolas, \"Andale Mono WT\", \"Andale Mono\", \"Lucida Console\", \"Lucida Sans Typewriter\", \"DejaVu Sans Mono\", \"Bitstream Vera Sans Mono\", \"Liberation Mono\", \"Nimbus Mono L\", Monaco, \"Courier New\", Courier, monospace;\r\n}\r\n</style>\r\n<div class=\"roundbox sidebox sidebar-menu borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Contest materials\n<div class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1730\" title=\"Codeforces Beta Round #68\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"256:257\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1735\" title=\"Codeforces Beta Round #68, solutions problem A and problem C\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"845\" resourceName=\"Codeforces Beta Round #68, solutions problem A and problem C\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1731\" title=\"Solutions for Codeforces Beta Round #68\" target=\"_blank\">Tutorial #2</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"258:259\" resourceName=\"Tutorial #2\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/74\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/74/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/74/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/74/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/74/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/74/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/74/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/74/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 185, 185);\r\n padding: 3px;\r\n margin: 1px;\r\n line-height: 1.1rem;\r\n text-transform: none;\r\n }\r\n\r\n .input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") 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false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"B\" data-uuid=\"ps_89c09480ceda0c5d8a7931f2a3317cdd5dc6e6c2\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Train</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>A stowaway and a controller play the following game. </p><p>The train is represented by <span class=\"tex-span\"><i>n</i></span> wagons which are numbered with positive integers from <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span> from the head to the tail. The stowaway and the controller are initially in some two different wagons. Every minute the train can be in one of two conditions — moving or idle. Every minute the players move.</p><p>The controller's move is as follows. The controller has the movement direction — to the train's head or to its tail. During a move the controller moves to the neighbouring wagon correspondingly to its movement direction. If at the end of his move the controller enters the <span class=\"tex-span\">1</span>-st or the <span class=\"tex-span\"><i>n</i></span>-th wagon, that he changes the direction of his movement into the other one. In other words, the controller cyclically goes from the train's head to its tail and back again during all the time of a game, shifting during each move by one wagon. Note, that the controller always have exactly one possible move.</p><p>The stowaway's move depends from the state of the train. If the train is moving, then the stowaway can shift to one of neighbouring wagons or he can stay where he is without moving. If the train is at a station and is idle, then the stowaway leaves the train (i.e. he is now not present in any train wagon) and then, if it is not the terminal train station, he enters the train again into any of <span class=\"tex-span\"><i>n</i></span> wagons (not necessarily into the one he's just left and not necessarily into the neighbouring one). If the train is idle for several minutes then each such minute the stowaway leaves the train and enters it back.</p><p>Let's determine the order of the players' moves. If at the given minute the train is moving, then first the stowaway moves and then the controller does. If at this minute the train is idle, then first the stowaway leaves the train, then the controller moves and then the stowaway enters the train.</p><p>If at some point in time the stowaway and the controller happen to be in one wagon, then the controller wins: he makes the stowaway pay fine. If after a while the stowaway reaches the terminal train station, then the stowaway wins: he simply leaves the station during his move and never returns there again.</p><p>At any moment of time the players know each other's positions. The players play in the optimal way. Specifically, if the controller wins, then the stowaway plays so as to lose as late as possible. As all the possible moves for the controller are determined uniquely, then he is considered to play optimally always. Determine the winner.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>m</i></span> and <span class=\"tex-span\"><i>k</i></span>. They represent the number of wagons in the train, the stowaway's and the controller's initial positions correspondingly (<span class=\"tex-span\">2 ≤ <i>n</i> ≤ 50</span>, <span class=\"tex-span\">1 ≤ <i>m</i>, <i>k</i> ≤ <i>n</i></span>, <span class=\"tex-span\"><i>m</i> ≠ <i>k</i></span>).</p><p>The second line contains the direction in which a controller moves. "to head" means that the controller moves to the train's head and "to tail" means that the controller moves to its tail. It is guaranteed that in the direction in which the controller is moving, there is at least one wagon. Wagon <span class=\"tex-span\">1</span> is the head, and wagon <span class=\"tex-span\"><i>n</i></span> is the tail.</p><p>The third line has the length from <span class=\"tex-span\">1</span> to <span class=\"tex-span\">200</span> and consists of symbols "0" and "1". The <span class=\"tex-span\"><i>i</i></span>-th symbol contains information about the train's state at the <span class=\"tex-span\"><i>i</i></span>-th minute of time. "0" means that in this very minute the train moves and "1" means that the train in this very minute stands idle. The last symbol of the third line is always "1" — that's the terminal train station.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>If the stowaway wins, print "Stowaway" without quotes. Otherwise, print "Controller" again without quotes, then, separated by a space, print the number of a minute, at which the stowaway will be caught.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5 3 2<br />to head<br />0001001<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Stowaway</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 2 1<br />to tail<br />0001<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Controller 2</pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=B]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = 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class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='551f41b3feb602cc1f82f6f8ff9e24d1'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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(ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div 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href=\"/profile/vudduu\">vudduu</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/vudduu\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/vudduu\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/vudduu\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/vudduu\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/vudduu\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/vudduu\" style=\"text-decoration:none;color:black !important;\">vudduu's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1735\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1735\"> Codeforces Beta Round #68, solutions problem A and problem C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/vudduu\" title=\"Expert vudduu\" class=\"rated-user user-blue\">vudduu</a>,\r\n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">For problem C, I did a little explanation<div><br /></div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem.html\">Problem A</a> Room Leader (Sort, C++)</div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem-c.html\">Problem C</a> Chessboard Billar (DFS, C++)</div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/74\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 68</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-850-1735\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"850\",\n blogEntryId: \"1735\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=c%2B%2B\" class=\"tag notice\" style=\"text-decoration: none;\">c++</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2368\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #68</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-14</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/vudduu\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/vudduu\">\n vudduu\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1735#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1735#comments\">\n 4\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1745\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (3)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042003\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ayush19jul\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2445411/avatar/299d1e7dd0d245e4.jpg'/> </a>\n <div><a href=\"/profile/ayush19jul\" title=\"Newbie ayush19jul\" class=\"rated-user user-gray\">ayush19jul</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 13:42\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042003\" href=\"?#comment-1042003\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042003\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2445411\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042003\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>WTF!!!</p><p>worst editorial ever</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042003 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042003 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042003\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042019\" commentParentId=\"1042003\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Orifxon\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2378398/avatar/1080506c7d3bef1.jpg'/> </a>\n <div><a href=\"/profile/Orifxon\" title=\"Pupil Orifxon\" class=\"rated-user user-green\">Orifxon</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 15:02\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042019\" href=\"?#comment-1042019\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042003\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"1042019\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"1042019\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2378398\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042019\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You are writing comment on the blog that was made 12 years ago</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042019 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042019 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042019\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042072\" commentParentId=\"1042019\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/adityagamer\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443750/avatar/448db22a71a7f0e5.jpg'/> </a>\n <div><a href=\"/profile/adityagamer\" title=\"Candidate Master adityagamer\" class=\"rated-user user-violet\">adityagamer</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 16:41\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042072\" href=\"?#comment-1042072\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042019\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042072\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443750\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042072\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You too</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042072 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042072 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042072\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n 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Chessboard Billiard"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Chessboard Billiard</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Let's imagine: there is a chess piece <span class=\"tex-font-style-it\">billiard ball</span>. Its movements resemble the ones of a bishop chess piece. The only difference is that when a billiard ball hits the board's border, it can reflect from it and continue moving.</p><p>More formally, first one of four diagonal directions is chosen and the billiard ball moves in that direction. When it reaches the square located on the board's edge, the billiard ball reflects from it; it changes the direction of its movement by 90 degrees and continues moving. Specifically, having reached a corner square, the billiard ball is reflected twice and starts to move the opposite way. While it moves, the billiard ball can make an infinite number of reflections. At any square of its trajectory the billiard ball can stop and on that the move is considered completed.</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/ec0cdb9bd6054853e9d9c88daebd39399a0de32e.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center><p>It is considered that one billiard ball <span class=\"tex-span\"><i>a</i></span> beats another billiard ball <span class=\"tex-span\"><i>b</i></span> if <span class=\"tex-span\"><i>a</i></span> can reach a point where <span class=\"tex-span\"><i>b</i></span> is located.</p><p>You are suggested to find the maximal number of billiard balls, that pairwise do not beat each other and that can be positioned on a chessboard <span class=\"tex-span\"><i>n</i> × <i>m</i></span> in size.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>m</i></span> (<span class=\"tex-span\">2 ≤ <i>n</i>, <i>m</i> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number, the maximum possible number of billiard balls that do not pairwise beat each other.</p><p>Please do not use the <span class=\"tex-font-style-tt\">%lld</span> specificator to read or write 64-bit numbers in C++. It is preferred to use <span class=\"tex-font-style-tt\">cin</span> (also you may use the <span class=\"tex-font-style-tt\">%I64d</span> specificator).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 4<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 3<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3</pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"e2ed411ac26b35ef5aa68613b974dcb0\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - C - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"44540998231fa84510297c9552ba6dced880f43e\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - C - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/74\">Codeforces Beta Round 68</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/74/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Dfs and similar\">\r\n dfs and similar\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Disjoint set union\">\r\n dsu\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Graphs\">\r\n graphs\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Number theory: Euler function, GCD, divisibility, etc\">\r\n number theory\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *2100\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='e2ed411ac26b35ef5aa68613b974dcb0'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"404\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='e2ed411ac26b35ef5aa68613b974dcb0'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"404\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box img\").click(function () {\r\n var tagName = $(this).attr(\"value\");\r\n Codeforces.confirm(\"Are you sure you want to remove this tag?\", function () {\r\n $(\"#removeTagForm input[name=tagName]\").val(tagName);\r\n $(\"#removeTagForm\").submit();\r\n }, function () {\r\n }, \"Yes\", \"No\");\r\n });\r\n\r\n $(\"#addTagLink\").click(function () {\r\n $(this).hide();\r\n $(\"#addTagLabel\").show();\r\n return false;\r\n });\r\n\r\n $(\"#addTagSelect\").change(function () {\r\n var tagName = $(this).val();\r\n if (tagName === \"\") {\r\n $(\"#addTagLabel\").hide();\r\n $(\"#addTagLink\").show();\r\n } else {\r\n $(\"#addTagForm input[name=tagName]\").val(tagName);\r\n 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class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"C\" data-uuid=\"ps_ec6400abd11cc9f0598f8badbb610a18e15003da\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Chessboard Billiard</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Let's imagine: there is a chess piece <span class=\"tex-font-style-it\">billiard ball</span>. Its movements resemble the ones of a bishop chess piece. The only difference is that when a billiard ball hits the board's border, it can reflect from it and continue moving.</p><p>More formally, first one of four diagonal directions is chosen and the billiard ball moves in that direction. When it reaches the square located on the board's edge, the billiard ball reflects from it; it changes the direction of its movement by 90 degrees and continues moving. Specifically, having reached a corner square, the billiard ball is reflected twice and starts to move the opposite way. While it moves, the billiard ball can make an infinite number of reflections. At any square of its trajectory the billiard ball can stop and on that the move is considered completed.</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/ec0cdb9bd6054853e9d9c88daebd39399a0de32e.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center><p>It is considered that one billiard ball <span class=\"tex-span\"><i>a</i></span> beats another billiard ball <span class=\"tex-span\"><i>b</i></span> if <span class=\"tex-span\"><i>a</i></span> can reach a point where <span class=\"tex-span\"><i>b</i></span> is located.</p><p>You are suggested to find the maximal number of billiard balls, that pairwise do not beat each other and that can be positioned on a chessboard <span class=\"tex-span\"><i>n</i> × <i>m</i></span> in size.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>m</i></span> (<span class=\"tex-span\">2 ≤ <i>n</i>, <i>m</i> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number, the maximum possible number of billiard balls that do not pairwise beat each other.</p><p>Please do not use the <span class=\"tex-font-style-tt\">%lld</span> specificator to read or write 64-bit numbers in C++. It is preferred to use <span class=\"tex-font-style-tt\">cin</span> (also you may use the <span class=\"tex-font-style-tt\">%I64d</span> specificator).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 4<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 3<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3</pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=C]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== 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dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='551f41b3feb602cc1f82f6f8ff9e24d1'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! 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href=\"/profile/vudduu\">vudduu</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/vudduu\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/vudduu\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/vudduu\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/vudduu\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/vudduu\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/vudduu\" style=\"text-decoration:none;color:black !important;\">vudduu's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1735\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1735\"> Codeforces Beta Round #68, solutions problem A and problem C\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/vudduu\" title=\"Expert vudduu\" class=\"rated-user user-blue\">vudduu</a>,\r\n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">For problem C, I did a little explanation<div><br /></div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem.html\">Problem A</a> Room Leader (Sort, C++)</div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem-c.html\">Problem C</a> Chessboard Billar (DFS, C++)</div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/74\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 68</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-850-1735\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"850\",\n blogEntryId: \"1735\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=c%2B%2B\" class=\"tag notice\" style=\"text-decoration: none;\">c++</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2368\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #68</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-14</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/vudduu\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/vudduu\">\n vudduu\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1735#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1735#comments\">\n 4\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1745\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (3)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042003\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ayush19jul\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2445411/avatar/299d1e7dd0d245e4.jpg'/> </a>\n <div><a href=\"/profile/ayush19jul\" title=\"Newbie ayush19jul\" class=\"rated-user user-gray\">ayush19jul</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 13:42\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042003\" href=\"?#comment-1042003\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042003\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2445411\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042003\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>WTF!!!</p><p>worst editorial ever</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042003 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042003 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042003\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042019\" commentParentId=\"1042003\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Orifxon\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2378398/avatar/1080506c7d3bef1.jpg'/> </a>\n <div><a href=\"/profile/Orifxon\" title=\"Pupil Orifxon\" class=\"rated-user user-green\">Orifxon</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 15:02\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042019\" href=\"?#comment-1042019\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042003\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"1042019\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"1042019\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2378398\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042019\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You are writing comment on the blog that was made 12 years ago</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042019 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042019 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042019\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042072\" commentParentId=\"1042019\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/adityagamer\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443750/avatar/448db22a71a7f0e5.jpg'/> </a>\n <div><a href=\"/profile/adityagamer\" title=\"Candidate Master adityagamer\" class=\"rated-user user-violet\">adityagamer</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 16:41\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042072\" href=\"?#comment-1042072\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042019\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042072\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443750\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042072\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You too</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042072 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042072 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042072\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n 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Hanger"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Hanger</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>4 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>In one very large and very respectable company there is a cloakroom with a coat hanger. It is represented by <span class=\"tex-span\"><i>n</i></span> hooks, positioned in a row. The hooks are numbered with positive integers from 1 to <span class=\"tex-span\"><i>n</i></span> from the left to the right.</p><p>The company workers have a very complicated work schedule. At the beginning of a work day all the employees are not there and the coat hanger in the cloakroom is empty. At some moments of time the employees arrive and some of them leave.</p><p>When some employee arrives, he hangs his cloak on one of the available hooks. To be of as little discomfort to his colleagues as possible, the hook where the coat will hang, is chosen like this. First the employee chooses the longest segment among available hooks following in a row. If there are several of such segments, then he chooses the one closest to the right. After that the coat is hung on the hook located in the middle of this segment. If the segment has an even number of hooks, then among two central hooks we choose the one closest to the right.</p><p>When an employee leaves, he takes his coat. As all the company workers deeply respect each other, no one takes somebody else's coat.</p><p>From time to time the director of this respectable company gets bored and he sends his secretary to see how many coats hang on the coat hanger from the <span class=\"tex-span\"><i>i</i></span>-th to the <span class=\"tex-span\"><i>j</i></span>-th hook inclusive. And this whim is always to be fulfilled, otherwise the director gets angry and has a mental breakdown.</p><p>Not to spend too much time traversing from the director's office to the cloakroom and back again, the secretary asked you to write a program, emulating the company cloakroom's work.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>q</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">9</sup></span>, <span class=\"tex-span\">1 ≤ <i>q</i> ≤ 10<sup class=\"upper-index\">5</sup></span>), which are the number of hooks on the hanger and the number of requests correspondingly. Then follow <span class=\"tex-span\"><i>q</i></span> lines with requests, sorted according to time. The request of the type \"<span class=\"tex-span\">0</span> <span class=\"tex-span\"><i>i</i></span> <span class=\"tex-span\"><i>j</i></span>\" (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>j</i> ≤ <i>n</i></span>) — is the director's request. The input data has at least one director's request. In all other cases the request contains a positive integer not exceeding <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup></span> — an employee identificator. Each odd appearance of the identificator of an employee in the request list is his arrival. Each even one is his leaving. All employees have distinct identificators. When any employee arrives, there is always at least one free hook.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>For each director's request in the input data print a single number on a single line — the number of coats hanging on the hooks from the <span class=\"tex-span\"><i>i</i></span>-th one to the <span class=\"tex-span\"><i>j</i></span>-th one inclusive.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>9 11<br/>1<br/>2<br/>0 5 8<br/>1<br/>1<br/>3<br/>0 3 8<br/>9<br/>0 6 9<br/>6<br/>0 1 9<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br/>3<br/>2<br/>5<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"b8285595321b122c4bab075e179b09bd\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - D - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"44540998231fa84510297c9552ba6dced880f43e\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - D - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Heaps, binary search trees, segment trees, hash tables, etc\">\r\n data structures\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *2400\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='b8285595321b122c4bab075e179b09bd'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"405\"/>\r\n 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.input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(OPENING_SPACE);\r\n }\r\n\r\n if (node.nodeType === Node.TEXT_NODE) {\r\n let s = node.textContent;\r\n if (!pre) {\r\n s = s.replace(/\\s+/g, \" \");\r\n }\r\n if (s.length > 0) {\r\n result.push(s);\r\n }\r\n }\r\n\r\n if (pre && node.tagName === \"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n 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(!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"D\" data-uuid=\"ps_5b7d79f44e99cc71a9c4453b3465168ffc5c6614\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Hanger</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>4 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>In one very large and very respectable company there is a cloakroom with a coat hanger. It is represented by <span class=\"tex-span\"><i>n</i></span> hooks, positioned in a row. The hooks are numbered with positive integers from 1 to <span class=\"tex-span\"><i>n</i></span> from the left to the right.</p><p>The company workers have a very complicated work schedule. At the beginning of a work day all the employees are not there and the coat hanger in the cloakroom is empty. At some moments of time the employees arrive and some of them leave.</p><p>When some employee arrives, he hangs his cloak on one of the available hooks. To be of as little discomfort to his colleagues as possible, the hook where the coat will hang, is chosen like this. First the employee chooses the longest segment among available hooks following in a row. If there are several of such segments, then he chooses the one closest to the right. After that the coat is hung on the hook located in the middle of this segment. If the segment has an even number of hooks, then among two central hooks we choose the one closest to the right.</p><p>When an employee leaves, he takes his coat. As all the company workers deeply respect each other, no one takes somebody else's coat.</p><p>From time to time the director of this respectable company gets bored and he sends his secretary to see how many coats hang on the coat hanger from the <span class=\"tex-span\"><i>i</i></span>-th to the <span class=\"tex-span\"><i>j</i></span>-th hook inclusive. And this whim is always to be fulfilled, otherwise the director gets angry and has a mental breakdown.</p><p>Not to spend too much time traversing from the director's office to the cloakroom and back again, the secretary asked you to write a program, emulating the company cloakroom's work.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>q</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">9</sup></span>, <span class=\"tex-span\">1 ≤ <i>q</i> ≤ 10<sup class=\"upper-index\">5</sup></span>), which are the number of hooks on the hanger and the number of requests correspondingly. Then follow <span class=\"tex-span\"><i>q</i></span> lines with requests, sorted according to time. The request of the type "<span class=\"tex-span\">0</span> <span class=\"tex-span\"><i>i</i></span> <span class=\"tex-span\"><i>j</i></span>" (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>j</i> ≤ <i>n</i></span>) — is the director's request. The input data has at least one director's request. In all other cases the request contains a positive integer not exceeding <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup></span> — an employee identificator. Each odd appearance of the identificator of an employee in the request list is his arrival. Each even one is his leaving. All employees have distinct identificators. When any employee arrives, there is always at least one free hook.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>For each director's request in the input data print a single number on a single line — the number of coats hanging on the hooks from the <span class=\"tex-span\"><i>i</i></span>-th one to the <span class=\"tex-span\"><i>j</i></span>-th one inclusive.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>9 11<br />1<br />2<br />0 5 8<br />1<br />1<br />3<br />0 3 8<br />9<br />0 6 9<br />6<br />0 1 9<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br />3<br />2<br />5<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=D]\");\r\n let uuid = 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='551f41b3feb602cc1f82f6f8ff9e24d1'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! 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→\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" 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title=\"Apr/15/2011 23:05\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">For problem C, I did a little explanation<div><br /></div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem.html\">Problem A</a> Room Leader (Sort, C++)</div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem-c.html\">Problem C</a> Chessboard Billar (DFS, C++)</div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/74\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 68</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-850-1735\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"850\",\n blogEntryId: \"1735\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=c%2B%2B\" class=\"tag notice\" style=\"text-decoration: none;\">c++</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2368\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #68</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-14</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/vudduu\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/vudduu\">\n vudduu\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1735#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1735#comments\">\n 4\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1745\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (3)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042003\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ayush19jul\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2445411/avatar/299d1e7dd0d245e4.jpg'/> </a>\n <div><a href=\"/profile/ayush19jul\" title=\"Newbie ayush19jul\" class=\"rated-user user-gray\">ayush19jul</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 13:42\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042003\" href=\"?#comment-1042003\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042003\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2445411\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042003\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>WTF!!!</p><p>worst editorial ever</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042003 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042003 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042003\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042019\" commentParentId=\"1042003\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Orifxon\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2378398/avatar/1080506c7d3bef1.jpg'/> </a>\n <div><a href=\"/profile/Orifxon\" title=\"Pupil Orifxon\" class=\"rated-user user-green\">Orifxon</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 15:02\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042019\" href=\"?#comment-1042019\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042003\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"1042019\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"1042019\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2378398\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042019\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You are writing comment on the blog that was made 12 years ago</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042019 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042019 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042019\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042072\" commentParentId=\"1042019\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/adityagamer\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443750/avatar/448db22a71a7f0e5.jpg'/> </a>\n <div><a href=\"/profile/adityagamer\" title=\"Candidate Master adityagamer\" class=\"rated-user user-violet\">adityagamer</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 16:41\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042072\" href=\"?#comment-1042072\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042019\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042072\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443750\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042072\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You too</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042072 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042072 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042072\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n 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Shift It!"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Shift It!</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>There is a square box <span class=\"tex-span\">6 × 6</span> in size. It contains <span class=\"tex-span\">36</span> chips <span class=\"tex-span\">1 × 1</span> in size. Those chips contain 36 different characters — \"<span class=\"tex-font-style-tt\">0</span>\"-\"<span class=\"tex-font-style-tt\">9</span>\" and \"<span class=\"tex-font-style-tt\">A</span>\"-\"<span class=\"tex-font-style-tt\">Z</span>\". There is exactly one chip with each character.</p><p>You are allowed to make the following operations: you may choose one of <span class=\"tex-span\">6</span> rows or one of <span class=\"tex-span\">6</span> columns and cyclically shift the chips there to one position to the left or to the right (for the row) or upwards or downwards (for the column). Those operations are allowed to perform several times. </p><p>To solve the puzzle is to shift the chips using the above described operations so that they were written in the increasing order (exactly equal to the right picture). An example of solving the puzzle is shown on a picture below.</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/2a692c7742758fb73f054ef438bd545382d6b500.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center><p>Write a program that finds the sequence of operations that solves the puzzle. That sequence <span class=\"tex-font-style-bf\">should not necessarily be shortest</span>, but you should not exceed the limit of <span class=\"tex-span\">10000</span> operations. It is guaranteed that the solution always exists.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The input data are represented by 6 lines containing 6 characters each. They are the puzzle's initial position. Those lines contain each character from the string \"<span class=\"tex-font-style-tt\">0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ</span>\" exactly once.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>On the first line print number <span class=\"tex-span\"><i>n</i></span>, which is the number of operations. On the next <span class=\"tex-span\"><i>n</i></span> lines print the sequence of operations one per line. An operation is described by a word consisting of two characters. The first character shows the direction where the row or the column will be shifted. The possible directions are \"<span class=\"tex-font-style-tt\">L</span>\", \"<span class=\"tex-font-style-tt\">R</span>\" (to the left, to the right correspondingly, we shift a row), \"<span class=\"tex-font-style-tt\">U</span>\", \"<span class=\"tex-font-style-tt\">D</span>\" (upwards, downwards correspondingly, we shift a column). The second character is the number of the row (or the column), it is an integer from \"<span class=\"tex-font-style-tt\">1</span>\" to \"<span class=\"tex-font-style-tt\">6</span>\". The rows are numbered from the top to the bottom, the columns are numbered from the left to the right.</p><p>The number of operations should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\">4</sup></span>. If there are several solutions, print any of them.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>01W345<br/>729AB6<br/>CD8FGH<br/>IJELMN<br/>OPKRST<br/>UVQXYZ<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br/>R2<br/>U3<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"5a30a612f763d76352b297e880b7a7de\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - E - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"44540998231fa84510297c9552ba6dced880f43e\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - E - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/74\">Codeforces Beta Round 68</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/74/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"E\" data-uuid=\"ps_3d973155b84ee04ad1dd8dcd82cde03703d16951\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Shift It!</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>There is a square box <span class=\"tex-span\">6 × 6</span> in size. It contains <span class=\"tex-span\">36</span> chips <span class=\"tex-span\">1 × 1</span> in size. Those chips contain 36 different characters — "<span class=\"tex-font-style-tt\">0</span>"-"<span class=\"tex-font-style-tt\">9</span>" and "<span class=\"tex-font-style-tt\">A</span>"-"<span class=\"tex-font-style-tt\">Z</span>". There is exactly one chip with each character.</p><p>You are allowed to make the following operations: you may choose one of <span class=\"tex-span\">6</span> rows or one of <span class=\"tex-span\">6</span> columns and cyclically shift the chips there to one position to the left or to the right (for the row) or upwards or downwards (for the column). Those operations are allowed to perform several times. </p><p>To solve the puzzle is to shift the chips using the above described operations so that they were written in the increasing order (exactly equal to the right picture). An example of solving the puzzle is shown on a picture below.</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/2a692c7742758fb73f054ef438bd545382d6b500.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center><p>Write a program that finds the sequence of operations that solves the puzzle. That sequence <span class=\"tex-font-style-bf\">should not necessarily be shortest</span>, but you should not exceed the limit of <span class=\"tex-span\">10000</span> operations. It is guaranteed that the solution always exists.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The input data are represented by 6 lines containing 6 characters each. They are the puzzle's initial position. Those lines contain each character from the string "<span class=\"tex-font-style-tt\">0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ</span>" exactly once.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>On the first line print number <span class=\"tex-span\"><i>n</i></span>, which is the number of operations. On the next <span class=\"tex-span\"><i>n</i></span> lines print the sequence of operations one per line. An operation is described by a word consisting of two characters. The first character shows the direction where the row or the column will be shifted. The possible directions are "<span class=\"tex-font-style-tt\">L</span>", "<span class=\"tex-font-style-tt\">R</span>" (to the left, to the right correspondingly, we shift a row), "<span class=\"tex-font-style-tt\">U</span>", "<span class=\"tex-font-style-tt\">D</span>" (upwards, downwards correspondingly, we shift a column). The second character is the number of the row (or the column), it is an integer from "<span class=\"tex-font-style-tt\">1</span>" to "<span class=\"tex-font-style-tt\">6</span>". The rows are numbered from the top to the bottom, the columns are numbered from the left to the right.</p><p>The number of operations should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\">4</sup></span>. If there are several solutions, print any of them.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>01W345<br />729AB6<br />CD8FGH<br />IJELMN<br />OPKRST<br />UVQXYZ<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br />R2<br />U3<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=E]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n $problem.find(\".diff-notifier-close\").click(function() {\r\n Codeforces.putToStorageTtl(uuid, 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:33</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='551f41b3feb602cc1f82f6f8ff9e24d1'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! 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→\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" 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title=\"Apr/15/2011 23:05\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">For problem C, I did a little explanation<div><br /></div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem.html\">Problem A</a> Room Leader (Sort, C++)</div><div><a href=\"http://blog.vudduu.com/2011/04/codeforces-beta-round-68-problem-c.html\">Problem C</a> Chessboard Billar (DFS, C++)</div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/74\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 68</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-850-1735\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"850\",\n blogEntryId: \"1735\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=c%2B%2B\" class=\"tag notice\" style=\"text-decoration: none;\">c++</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2368\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #68</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:gray'>-14</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1735\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/vudduu\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/vudduu\">\n vudduu\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/15/2011 23:05\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1735#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1735#comments\">\n 4\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1745\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (3)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042003\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ayush19jul\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2445411/avatar/299d1e7dd0d245e4.jpg'/> </a>\n <div><a href=\"/profile/ayush19jul\" title=\"Newbie ayush19jul\" class=\"rated-user user-gray\">ayush19jul</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 13:42\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042003\" href=\"?#comment-1042003\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042003\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2445411\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042003\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>WTF!!!</p><p>worst editorial ever</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042003 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042003 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042003\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042019\" commentParentId=\"1042003\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Orifxon\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2378398/avatar/1080506c7d3bef1.jpg'/> </a>\n <div><a href=\"/profile/Orifxon\" title=\"Pupil Orifxon\" class=\"rated-user user-green\">Orifxon</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 15:02\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042019\" href=\"?#comment-1042019\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042003\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"1042019\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"1042019\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2378398\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042019\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You are writing comment on the blog that was made 12 years ago</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042019 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042019 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042019\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"1042072\" commentParentId=\"1042019\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/adityagamer\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443750/avatar/448db22a71a7f0e5.jpg'/> </a>\n <div><a href=\"/profile/adityagamer\" title=\"Candidate Master adityagamer\" class=\"rated-user user-violet\">adityagamer</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/30/2023 16:41\">3 months ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-1042072\" href=\"?#comment-1042072\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-1042019\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"1042072\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443750\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-1042072\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>You too</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-1042072 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-1042072 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-1042072\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n 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Life Without Zeros"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Life Without Zeros</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Can you imagine our life if we removed all zeros from it? For sure we will have many problems.</p><p>In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation <span class=\"tex-span\"><i>a</i> + <i>b</i> = <i>c</i></span>, where <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> are positive integers, and <span class=\"tex-span\"><i>c</i></span> is the sum of <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span>. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?</p><p>For example if the equation is <span class=\"tex-span\">101 + 102 = 203</span>, if we removed all zeros it will be <span class=\"tex-span\">11 + 12 = 23</span> which is still a correct equation.</p><p>But if the equation is <span class=\"tex-span\">105 + 106 = 211</span>, if we removed all zeros it will be <span class=\"tex-span\">15 + 16 = 211</span> which is not a correct equation.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The input will consist of two lines, the first line will contain the integer <span class=\"tex-span\"><i>a</i></span>, and the second line will contain the integer <span class=\"tex-span\"><i>b</i></span> which are in the equation as described above (<span class=\"tex-span\">1 ≤ <i>a</i>, <i>b</i> ≤ 10<sup class=\"upper-index\">9</sup></span>). There won't be any leading zeros in both. The value of <span class=\"tex-span\"><i>c</i></span> should be calculated as <span class=\"tex-span\"><i>c</i> = <i>a</i> + <i>b</i></span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The output will be just one line, you should print \"<span class=\"tex-font-style-tt\">YES</span>\" if the equation will remain correct after removing all zeros, and print \"<span class=\"tex-font-style-tt\">NO</span>\" otherwise.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>101<br/>102<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>YES<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>105<br/>106<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>NO<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"211d153d2ce19a27a7ba86a104d2de1a\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - A - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"95cf41988c07fa21d41dc2c0e28e84705feefd57\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - A - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/75\">Codeforces Beta Round 67 (Div. 2)</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? Just register for practice and you will be able to submit solutions.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"\" method=\"post\"><input type='hidden' name='csrf_token' value='211d153d2ce19a27a7ba86a104d2de1a'/>\r\n <input type=\"hidden\" name=\"action\" value=\"registerForPractice\"/>\r\n <input type=\"submit\" name=\"submit\" value=\"Register for practice\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div> \r\n</div>\r\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox ContestVirtualFrame borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Virtual participation <i class=\"sidebar-caption-icon las la-angle-down\"></i>\r\n\n <div class=\"top-links\">\n </div>\n </div>\n<div style=\" \"\r\n\r\n data-page-url=\"/data/sidebarFrames\"\r\n\r\n>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/75/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Implementation problems, programming technics, simulation\">\r\n implementation\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1000\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='211d153d2ce19a27a7ba86a104d2de1a'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"397\"/>\r\n 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class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1713\" title=\"Codeforces Beta Round #67 (Div. 2)\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"254:255\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1715\" title=\"Codeforces Beta Round #67 (Div. 2) Editorial\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"841\" resourceName=\"Codeforces Beta Round #67 (Div. 2) Editorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1717\" title=\"Codeforces Beta Round #67 (Div. 2), my solutions\" target=\"_blank\">Tutorial #2 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"842\" resourceName=\"Codeforces Beta Round #67 (Div. 2), my solutions\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/75\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/75/submit\">Submit 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.input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(OPENING_SPACE);\r\n }\r\n\r\n if (node.nodeType === Node.TEXT_NODE) {\r\n let s = node.textContent;\r\n if (!pre) {\r\n s = s.replace(/\\s+/g, \" \");\r\n }\r\n if (s.length > 0) {\r\n result.push(s);\r\n }\r\n }\r\n\r\n if (pre && node.tagName === \"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n result.push(nodeToText(child, node.tagName === \"PRE\").join(\"\"));\r\n });\r\n\r\n if (node.tagName === \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName === \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"A\" data-uuid=\"ps_4c93cd93cfd3e918461bf443217be4d03c9c4e27\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Life Without Zeros</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Can you imagine our life if we removed all zeros from it? For sure we will have many problems.</p><p>In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation <span class=\"tex-span\"><i>a</i> + <i>b</i> = <i>c</i></span>, where <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> are positive integers, and <span class=\"tex-span\"><i>c</i></span> is the sum of <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span>. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?</p><p>For example if the equation is <span class=\"tex-span\">101 + 102 = 203</span>, if we removed all zeros it will be <span class=\"tex-span\">11 + 12 = 23</span> which is still a correct equation.</p><p>But if the equation is <span class=\"tex-span\">105 + 106 = 211</span>, if we removed all zeros it will be <span class=\"tex-span\">15 + 16 = 211</span> which is not a correct equation.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The input will consist of two lines, the first line will contain the integer <span class=\"tex-span\"><i>a</i></span>, and the second line will contain the integer <span class=\"tex-span\"><i>b</i></span> which are in the equation as described above (<span class=\"tex-span\">1 ≤ <i>a</i>, <i>b</i> ≤ 10<sup class=\"upper-index\">9</sup></span>). There won't be any leading zeros in both. The value of <span class=\"tex-span\"><i>c</i></span> should be calculated as <span class=\"tex-span\"><i>c</i> = <i>a</i> + <i>b</i></span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The output will be just one line, you should print "<span class=\"tex-font-style-tt\">YES</span>" if the equation will remain correct after removing all zeros, and print "<span class=\"tex-font-style-tt\">NO</span>" otherwise.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>101<br />102<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>YES<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>105<br />106<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>NO<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='1321d1a35aa6147cbfdbbcf6e0b61c0b'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" 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href=\"/profile/ahmed_aly\">ahmed_aly</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/ahmed_aly\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/ahmed_aly\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/ahmed_aly\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/ahmed_aly\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/ahmed_aly\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/ahmed_aly\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/ahmed_aly\" style=\"text-decoration:none;color:black !important;\">ahmed_aly's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1715\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1715\"> Codeforces Beta Round #67 (Div. 2) Editorial\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a>,\r\n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><b>Problem A:</b><br />In this problem you need to do what is written in the statement. You can do it in the following 3 steps:<br />1- Calculate C.<br />2- Remove all zeros from A, B and C.<br />3- Check if the new values form a correct equation.<br /><br /><a href=\"http://pastebin.com/1cc1xKNW\">C++ solution for problem A.</a><br /><br /><br /><b>Problem B:</b><br />This problem is a direct simulation to the rules written in the problem statement.<br />You need to iterate over all actions and parse each one to know the type of the action, and the 2 names X and Y, and if your name is X or Y then update your priority factor with this person with the action corresponding value. And take care about some special names like "post", "wall", "commented" and "on".<br />Then sort all names according to the sorting criteria mentioned in the statement.<br />Just make sure to print all names which are mentioned in the input (excluding yourself), even if the priority factor with you is 0.<br /><br /><a href=\"http://pastebin.com/cGHAv8qs\">C++ solution for problem B.</a><br /><br /><br /><b>Problem C:</b><br />In this problem you will need to generate all common divisors between a and b before answering any query.<br />The first step in this problem is to factorize a and b, you can use the trial division technique which runs in O(sqrt(N)), you can check getFactors function in my solutions.<br />Then using a recursive function you can generate all divisors for a and b from their prime factors, you can check getDivisors function in my solutions.<br />Then intersect the 2 sets of divisors for both to get all common divisors, you can do this in O(N+M) where N and M are the lengths of the 2 sets, and also you can do a trivial O(N*M) intersection algorithm, because the maximum number of divisors is not too big (it's 1344).<br />Now for each query you need to find the largest common divisor which lies in the given range, you can do this by sorting all common divisors and do binary search for the largest one which lies in the given range. Also you can do this using linear search, because the total number of queries is not too big.<br /><br />Also there is much shorter solution for this problem. Here is a hint for it, the GCD between a and b should be dividable by all common divisors of a and b.<br /><br /><a href=\"http://pastebin.com/zcEGkKhw\">C++ solution for problem C (with binary search).</a><br /><a href=\"http://pastebin.com/Uw4rG7Ar\">C++ solution for problem C (without binary search).</a><br /><a href=\"http://pastebin.com/Nd54H6em\">Java solution for problem C (with binary search).</a><br /><br /><br /><b>Problem D:</b><br />This problem is my favorite one in this problem set. Maybe it will be easier to solve this problem if you know how to solve the standard one.<br />But because we can't construct the big array, so we can't apply the standard solution for this problem.<br />Let's see first how to solve the standard problem, the following code solves it for a given array arr with length len:<br /><br />int mx = -(1 << 30);<br />int sum = 0;<br />for (int j = 0; j < len; j++) {<br /> mx = max(mx, arr[i]); // we need this for the case where all elements in the array are negatives<br /> sum += arr[i];<br /> if (sum < 0)<br /> sum = 0;<br /> else<br /> mx = max(mx, sum);<br />}<br /><br />Now let's solve the big array problem, the first step is to calculate 4 values for each small array:<br />1- The total sum of it, let's call it tot.<br />2- The maximum sum of 0 or more consecutive elements starting from the first element in the array, let's call it lft.<br />3- The maximum sum of 0 or more consecutive elements ending at the last element in the array, let's call it rght.<br />4- The maximum sum of 1 or more consecutive elements, let's call it gen.<br /><br />The final result will be 1 of 2 cases:<br />1- The consecutive elements with the maximum sum will start and end inside the same small array.<br />2- The consecutive elements with the maximum sum will start and end inside different small arrays.<br /><br />For the first case, we can simply pick the maximum gen for all small arrays which exist in the big array.<br />For the second case, we can apply something similar to the standard solution, we will keep a variable called sum, and it's initialized to 0, this will be the maximum sum of 0 or more consecutive elements ending at the last element in the previous small array. Now for each small array, if the maximum possible sum will end in this small array, so it will be sum+lft and maximize over this value (make sure this will be for 1 or more elements). And we need to update sum to be the maximum of the following 3 values:<br />1- sum+tot (we will include all elements of this small array to the old sum).<br />2- rght (we will take the maximum sum ending at the last element in the current small array).<br />3- 0 (we will not take any elements in sum).<br /><br />The running time for this solution will be just for reading the input, in my solutions I have no iterations except for reading the input.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/bsxvF4aC\">C++ solution for problem D.</a><br /><a href=\"http://pastebin.com/k1hzX5XD\">Java solution for problem D.</a><br /><br /><br /><b>Problem E:</b><br />The main idea for this problem is not hard, but maybe the hard part is implementing it.<br />First we need to know if the straight line segment between the source and destination points intersect with the island or not. So we will intersect this line segment with all the polygon sides. If there are 2 segments intersect in more than 1 point we will consider as they don't intersect, because it's mentioned in the problem statement that you can move on the island's edge and it will be considered in the sea.<br />Now we have a set of all distinct intersection points of the polygon and the straight line segment between the source and destination points. Because the polygon is convex, this set will contain at most 2 points. We have 3 different cases now:<br />1- This set contains less than 2 points.<br />2- This set contains 2 points and they are on the same polygon side.<br />3- This set contains 2 points and they are not on the same polygon side.<br /><br />In the first 2 cases the result will be simply the length of the straight line segment.<br />In the 3rd case you can do the following:<br />1- Move from the source point to the nearest point of the 2 intersection points.<br />2- You have 3 options here:<br /> a- Move inside the island to the other intersection point.<br /> b- Move in clockwise direction on the island's edge to the other intersection point.<br /> c- Move in anti-clockwise direction on the island's edge to the other intersection point.<br /> First option will be considered moving inside the island, and the other 2 options will be considered moving in the sea.<br /> You should pick the minimum one.<br />3- Move from the 2nd intersection point to the destination point.<br /><br />Another solution:<br />You can construct a graph where the nodes are the source point, the destination point, the intersection points and the polygon corner points. Then add an edge between any 2 points which you can move between them with the corresponding cost. Then run any shortest path algorithm, Floyd Warshall for example.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/7jgsu40r\">C++ solution for problem E.</a><br /><a href=\"http://pastebin.com/cZVCifwt\">C++ solution for problem E (with Floyd Warshall).</a></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/75\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 67 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-229-1715\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"229\",\n blogEntryId: \"1715\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2367\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #67</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+44</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/ahmed_aly\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/ahmed_aly\">\n ahmed_aly\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1715#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1715#comments\">\n 25\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1725\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (21)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32752\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/eik0u\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1231/avatar/7637a0d6900a713b.jpg'/> </a>\n <div><a href=\"/profile/eik0u\" title=\"Expert eik0u\" class=\"rated-user user-blue\">eik0u</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 22:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32752\" href=\"?#comment-32752\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32752\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"1231\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32752\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">D is also my favourite problem in this problem set :)<div>And the whole problem set is very nice. It is very diverse: easy implementation, math, dp/classic, geometry. And problems do not require extraodinary knowledge in algorithms.</div><div>This round was very suitable for Div2.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32752 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32752 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32752\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32770\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 23:43\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32770\" href=\"?#comment-32770\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32770\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32770\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent Tutorial's , several ways several code for each one , good luck <a class=\"rated-user user-orange\" href=\"../../profile/ahmed_aly\" title=\"Major ahmed_aly\">ahmed_aly</a></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32770 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32770 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32770\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32800\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32800\" href=\"?#comment-32800\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32800\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"4\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+4</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32800\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(In English)<div><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Very nice contest</span><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">B can be also solved using regexps</div></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\"><br /></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Also in Java we use List, Vector is deprecated ;)</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32800 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32800 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32800\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32801\" commentParentId=\"32800\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:56\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32801\" href=\"?#comment-32801\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32800\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"32801\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"32801\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32801\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Thanks, but I'm not very good Java coder. :)</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32801 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32801 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32801\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32844\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ACCEPT\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/ACCEPT\" title=\"Unrated, ACCEPT\" class=\"rated-user user-black\">ACCEPT</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 16:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32844\" href=\"?#comment-32844\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32844\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"14879\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32844\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">thank's for your nice contest and tutorial.<div>I have a question for problem E:</div><div>why your algo is correct?</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32844 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32844 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32844\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32913\" commentParentId=\"32844\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:46\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32913\" href=\"?#comment-32913\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32844\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32913\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32913\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Because you can only move to safe points, so you don't have any other choice.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32913 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32913 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32913\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32855\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/novkostya\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/novkostya\" title=\"Expert novkostya\" class=\"rated-user user-blue\">novkostya</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 18:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32855\" href=\"?#comment-32855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5985\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(C++ solution for problem C)<br />std::back_inserter(cd) seems to be more applicable than std::inserter(cd, cd.begin())</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32855\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32861\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:03\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32861\" href=\"?#comment-32861\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32861\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32861\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">The c++ code for problem A has integer overflow, since a and b can be up to 999999999, c=a+b cannot fit into 32-bit int. My solution had the same issue and got hacked.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32861 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32861 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32861\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32863\" commentParentId=\"32861\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:05\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32863\" href=\"?#comment-32863\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32861\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32863\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32863\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Actually 1999999998 fits into 32bit signed integer</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32863 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32863 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32863\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32891\" commentParentId=\"32863\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 22:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32891\" href=\"?#comment-32891\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32863\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32891\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32891\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">That's right. Just realized that my overflow is due to 8999999991, the reverse of 1999999998.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32891 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32891 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32891\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32868\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32868\" href=\"?#comment-32868\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32868\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32868\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">what does the instruction factor[name1] do?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32868 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32868 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32868\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32915\" commentParentId=\"32868\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:48\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32915\" href=\"?#comment-32915\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32868\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32915\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32915\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Just to make an entry for name1 in the map, and it will be 0. Because I have to print all names even if the factor is 0.<br />If there is no entry for name1, nothing will happen. If there is no entry, it will be the same as factor[name1] = 0.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32915 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32915 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32915\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32937\" commentParentId=\"32915\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 00:51\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32937\" href=\"?#comment-32937\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32915\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32937\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32937\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">interesting, I just did map.find()==map.end(), but this is much cooler.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32937 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32937 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32937\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32946\" commentParentId=\"32937\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/smilitude\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/68/avatar/e81e4a6fe0f7bdd8.jpg'/> </a>\n <div><a href=\"/profile/smilitude\" title=\"Expert smilitude\" class=\"rated-user user-blue\">smilitude</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32946\" href=\"?#comment-32946\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32937\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32946\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"68\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32946\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It's actually safer that way. If you search with if( map[ name1 ] ), every time you do the query, the size of the map increases by 1. Try this - <br /> <pre> \n map< int,int > one, two;\n for(int i=1;i<=100; i++) if( one[i] );\n for(int i=1;i<=100; i++) if( two.find(i) == two.end() );\n cout << one.size() << " " << two.size() << endl;\n</pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32946 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32946 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32946\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32948\" commentParentId=\"32946\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32948\" href=\"?#comment-32948\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32946\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32948\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32948\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In this problem it's the same, because I wanted to make an entry anyway if it doesn't exist.<br />I didn't write this statement as an if condition.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32948 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32948 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32948\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278325\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/shubhamgoyal__\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/shubhamgoyal__\" title=\"Candidate Master shubhamgoyal__\" class=\"rated-user user-violet\">shubhamgoyal__</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:17\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278325\" href=\"?#comment-278325\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278325\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"321533\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278325\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>great explanation for problem D!!!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278325 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278325 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278325\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278326\" commentParentId=\"278325\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/P_Nyagolov\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/239110/avatar/9494c230dc159315.jpg'/> </a>\n <div><a href=\"/profile/P_Nyagolov\" title=\"Expert P_Nyagolov\" class=\"rated-user user-blue\">P_Nyagolov</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:26\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278326\" href=\"?#comment-278326\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-278325\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278326\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"239110\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278326\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Seriously, guys, what's wrong with you?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278326 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278326 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278326\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599691\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Amr-Fahmy\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/858870/avatar/5c5b1d238b408975.jpg'/> </a>\n <div><a href=\"/profile/Amr-Fahmy\" title=\"Expert Amr-Fahmy\" class=\"rated-user user-blue\">Amr-Fahmy</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:21\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599691\" href=\"?#comment-599691\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599691\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"858870\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599691\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I am here after 9 years, The explanation of problem D is the best explanation i have ever read on codeforces ! Thank you</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599691 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599691 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599691\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599695\" commentParentId=\"599691\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:45\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599695\" href=\"?#comment-599695\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-599691\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599695\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599695\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Thanks!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599695 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599695 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599695\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612647\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/hereForFun\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/695688/avatar/5e5b50c23f422942.jpg'/> </a>\n <div><a href=\"/profile/hereForFun\" title=\"Pupil hereForFun\" class=\"rated-user user-green\">hereForFun</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:06\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612647\" href=\"?#comment-612647\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612647\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"695688\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612647\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hello! I am here from the a2oj ladder. I received a WA on test case 14 in problem A. When I checked the test case and ran it locally, it is giving the correct answer. Why is the output different here? <a href=\"https://codeforces.com/contest/75/submission/78440577\">https://codeforces.com/contest/75/submission/78440577</a> Here is my submission.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612647 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612647 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612647\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612658\" commentParentId=\"612647\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/qpwoeirut\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1165565/avatar/71d9b6b641fb567b.jpg'/> </a>\n <div><a href=\"/profile/qpwoeirut\" title=\"Candidate Master qpwoeirut\" class=\"rated-user user-violet\">qpwoeirut</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:56\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612658\" href=\"?#comment-612658\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-612647\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612658\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1165565\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612658\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>It looks like you're getting overflow from <code>(digit*pow(10,nonZero))</code>. This can be fixed by using a running place multiplier instead of <code>pow</code>.</p><p>See <a href=\"/contest/75/submission/78443731\" title=\"Submission 78443731 by qpwoeirut\">78443731</a> for an accepted version of your code with that change.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612658 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612658 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612658\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1725\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":376,"cells":{"problem_id":{"kind":"string","value":"75B"},"contest":{"kind":"string","value":"75"},"problem":{"kind":"string","value":"B"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"B. Facetook Priority Wall"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Facetook Priority Wall</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Facetook is a well known social network website, and it will launch a new feature called Facetook Priority Wall. This feature will sort all posts from your friends according to the priority factor (it will be described).</p><p>This priority factor will be affected by three types of actions: </p><ul> <li> 1. \"<span class=\"tex-font-style-tt\"><span class=\"tex-span\"><i>X</i></span> posted on <span class=\"tex-span\"><i>Y</i></span>'s wall</span>\" (15 points), </li><li> 2. \"<span class=\"tex-font-style-tt\"><span class=\"tex-span\"><i>X</i></span> commented on <span class=\"tex-span\"><i>Y</i></span>'s post</span>\" (10 points), </li><li> 3. \"<span class=\"tex-font-style-tt\"><span class=\"tex-span\"><i>X</i></span> likes <span class=\"tex-span\"><i>Y</i></span>'s post</span>\" (5 points). </li></ul><p><span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> will be two distinct names. And each action will increase the priority factor between <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> (and vice versa) by the above value of points (the priority factor between <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> is the same as the priority factor between <span class=\"tex-span\"><i>Y</i></span> and <span class=\"tex-span\"><i>X</i></span>).</p><p>You will be given <span class=\"tex-span\"><i>n</i></span> actions with the above format (without the action number and the number of points), and you have to print all the distinct names in these actions sorted according to the priority factor with you.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains your name. The second line contains an integer <span class=\"tex-span\"><i>n</i></span>, which is the number of actions (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 100</span>). Then <span class=\"tex-span\"><i>n</i></span> lines follow, it is guaranteed that each one contains exactly 1 action in the format given above. There is exactly one space between each two words in a line, and there are no extra spaces. All the letters are lowercase. All names in the input will consist of at least 1 letter and at most 10 small Latin letters.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>m</i></span> lines, where <span class=\"tex-span\"><i>m</i></span> is the number of distinct names in the input (excluding yourself). Each line should contain just 1 name. The names should be sorted according to the priority factor with you in the descending order (the highest priority factor should come first). If two or more names have the same priority factor, print them in the alphabetical (lexicographical) order.</p><p>Note, that you should output all the names that are present in the input data (excluding yourself), even if that person has a zero priority factor.</p><p>The lexicographical comparison is performed by the standard \"<span class=\"tex-font-style-tt\"><</span>\" operator in modern programming languages. The line <span class=\"tex-span\"><i>a</i></span> is lexicographically smaller than the line <span class=\"tex-span\"><i>b</i></span>, if either <span class=\"tex-span\"><i>a</i></span> is the prefix of <span class=\"tex-span\"><i>b</i></span>, or if exists such an <span class=\"tex-span\"><i>i</i></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>min</i>(|<i>a</i>|, |<i>b</i>|)</span>), that <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub> < <i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>, and for any <span class=\"tex-span\"><i>j</i></span> (<span class=\"tex-span\">1 ≤ <i>j</i> < <i>i</i></span>) <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>j</i></sub> = <i>b</i><sub class=\"lower-index\"><i>j</i></sub></span>, where <span class=\"tex-span\">|<i>a</i>|</span> and <span class=\"tex-span\">|<i>b</i>|</span> stand for the lengths of strings <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> correspondently.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>ahmed<br/>3<br/>ahmed posted on fatma's wall<br/>fatma commented on ahmed's post<br/>mona likes ahmed's post<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>fatma<br/>mona<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>aba<br/>1<br/>likes likes posted's post<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>likes<br/>posted<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"7d85ac12ca4530194370f31acefc352b\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - B - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"95cf41988c07fa21d41dc2c0e28e84705feefd57\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - B - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/75\">Codeforces Beta Round 67 (Div. 2)</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/75/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Parsing expression grammar\">\r\n expression parsing\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Implementation problems, programming technics, simulation\">\r\n implementation\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Prefix- and Z-functions, suffix structures, Knuth–Morris–Pratt algorithm, etc\">\r\n strings\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1500\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='7d85ac12ca4530194370f31acefc352b'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"398\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='7d85ac12ca4530194370f31acefc352b'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"398\"/>\r\n <input 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relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1715\" title=\"Codeforces Beta Round #67 (Div. 2) Editorial\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"841\" resourceName=\"Codeforces Beta Round #67 (Div. 2) Editorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1717\" title=\"Codeforces Beta Round #67 (Div. 2), my solutions\" target=\"_blank\">Tutorial #2 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"842\" resourceName=\"Codeforces Beta Round #67 (Div. 2), my solutions\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/75\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/75/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/75/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/75/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/75/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/75/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/75/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/75/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 185, 185);\r\n padding: 3px;\r\n margin: 1px;\r\n line-height: 1.1rem;\r\n text-transform: none;\r\n }\r\n\r\n .input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(OPENING_SPACE);\r\n }\r\n\r\n if (node.nodeType === Node.TEXT_NODE) {\r\n let s = node.textContent;\r\n if (!pre) {\r\n s = s.replace(/\\s+/g, \" \");\r\n }\r\n if (s.length > 0) {\r\n result.push(s);\r\n }\r\n }\r\n\r\n if (pre && node.tagName === \"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n result.push(nodeToText(child, node.tagName === \"PRE\").join(\"\"));\r\n });\r\n\r\n if (node.tagName === \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName === \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"B\" data-uuid=\"ps_0c2917f234859576d54d239dfe4d6dfe1aff02fc\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Facetook Priority Wall</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Facetook is a well known social network website, and it will launch a new feature called Facetook Priority Wall. This feature will sort all posts from your friends according to the priority factor (it will be described).</p><p>This priority factor will be affected by three types of actions: </p><ul> <li> 1. "<span class=\"tex-font-style-tt\"><span class=\"tex-span\"><i>X</i></span> posted on <span class=\"tex-span\"><i>Y</i></span>'s wall</span>" (15 points), </li><li> 2. "<span class=\"tex-font-style-tt\"><span class=\"tex-span\"><i>X</i></span> commented on <span class=\"tex-span\"><i>Y</i></span>'s post</span>" (10 points), </li><li> 3. "<span class=\"tex-font-style-tt\"><span class=\"tex-span\"><i>X</i></span> likes <span class=\"tex-span\"><i>Y</i></span>'s post</span>" (5 points). </li></ul><p><span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> will be two distinct names. And each action will increase the priority factor between <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> (and vice versa) by the above value of points (the priority factor between <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> is the same as the priority factor between <span class=\"tex-span\"><i>Y</i></span> and <span class=\"tex-span\"><i>X</i></span>).</p><p>You will be given <span class=\"tex-span\"><i>n</i></span> actions with the above format (without the action number and the number of points), and you have to print all the distinct names in these actions sorted according to the priority factor with you.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains your name. The second line contains an integer <span class=\"tex-span\"><i>n</i></span>, which is the number of actions (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 100</span>). Then <span class=\"tex-span\"><i>n</i></span> lines follow, it is guaranteed that each one contains exactly 1 action in the format given above. There is exactly one space between each two words in a line, and there are no extra spaces. All the letters are lowercase. All names in the input will consist of at least 1 letter and at most 10 small Latin letters.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>m</i></span> lines, where <span class=\"tex-span\"><i>m</i></span> is the number of distinct names in the input (excluding yourself). Each line should contain just 1 name. The names should be sorted according to the priority factor with you in the descending order (the highest priority factor should come first). If two or more names have the same priority factor, print them in the alphabetical (lexicographical) order.</p><p>Note, that you should output all the names that are present in the input data (excluding yourself), even if that person has a zero priority factor.</p><p>The lexicographical comparison is performed by the standard "<span class=\"tex-font-style-tt\"><</span>" operator in modern programming languages. The line <span class=\"tex-span\"><i>a</i></span> is lexicographically smaller than the line <span class=\"tex-span\"><i>b</i></span>, if either <span class=\"tex-span\"><i>a</i></span> is the prefix of <span class=\"tex-span\"><i>b</i></span>, or if exists such an <span class=\"tex-span\"><i>i</i></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>min</i>(|<i>a</i>|, |<i>b</i>|)</span>), that <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub> < <i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>, and for any <span class=\"tex-span\"><i>j</i></span> (<span class=\"tex-span\">1 ≤ <i>j</i> < <i>i</i></span>) <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>j</i></sub> = <i>b</i><sub class=\"lower-index\"><i>j</i></sub></span>, where <span class=\"tex-span\">|<i>a</i>|</span> and <span class=\"tex-span\">|<i>b</i>|</span> stand for the lengths of strings <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> correspondently.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>ahmed<br />3<br />ahmed posted on fatma's wall<br />fatma commented on ahmed's post<br />mona likes ahmed's post<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>fatma<br />mona<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>aba<br />1<br />likes likes posted's post<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>likes<br />posted<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=B]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='1321d1a35aa6147cbfdbbcf6e0b61c0b'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/ahmed_aly\">ahmed_aly</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/ahmed_aly\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/ahmed_aly\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/ahmed_aly\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/ahmed_aly\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/ahmed_aly\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/ahmed_aly\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/ahmed_aly\" style=\"text-decoration:none;color:black !important;\">ahmed_aly's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1715\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1715\"> Codeforces Beta Round #67 (Div. 2) Editorial\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a>,\r\n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><b>Problem A:</b><br />In this problem you need to do what is written in the statement. You can do it in the following 3 steps:<br />1- Calculate C.<br />2- Remove all zeros from A, B and C.<br />3- Check if the new values form a correct equation.<br /><br /><a href=\"http://pastebin.com/1cc1xKNW\">C++ solution for problem A.</a><br /><br /><br /><b>Problem B:</b><br />This problem is a direct simulation to the rules written in the problem statement.<br />You need to iterate over all actions and parse each one to know the type of the action, and the 2 names X and Y, and if your name is X or Y then update your priority factor with this person with the action corresponding value. And take care about some special names like "post", "wall", "commented" and "on".<br />Then sort all names according to the sorting criteria mentioned in the statement.<br />Just make sure to print all names which are mentioned in the input (excluding yourself), even if the priority factor with you is 0.<br /><br /><a href=\"http://pastebin.com/cGHAv8qs\">C++ solution for problem B.</a><br /><br /><br /><b>Problem C:</b><br />In this problem you will need to generate all common divisors between a and b before answering any query.<br />The first step in this problem is to factorize a and b, you can use the trial division technique which runs in O(sqrt(N)), you can check getFactors function in my solutions.<br />Then using a recursive function you can generate all divisors for a and b from their prime factors, you can check getDivisors function in my solutions.<br />Then intersect the 2 sets of divisors for both to get all common divisors, you can do this in O(N+M) where N and M are the lengths of the 2 sets, and also you can do a trivial O(N*M) intersection algorithm, because the maximum number of divisors is not too big (it's 1344).<br />Now for each query you need to find the largest common divisor which lies in the given range, you can do this by sorting all common divisors and do binary search for the largest one which lies in the given range. Also you can do this using linear search, because the total number of queries is not too big.<br /><br />Also there is much shorter solution for this problem. Here is a hint for it, the GCD between a and b should be dividable by all common divisors of a and b.<br /><br /><a href=\"http://pastebin.com/zcEGkKhw\">C++ solution for problem C (with binary search).</a><br /><a href=\"http://pastebin.com/Uw4rG7Ar\">C++ solution for problem C (without binary search).</a><br /><a href=\"http://pastebin.com/Nd54H6em\">Java solution for problem C (with binary search).</a><br /><br /><br /><b>Problem D:</b><br />This problem is my favorite one in this problem set. Maybe it will be easier to solve this problem if you know how to solve the standard one.<br />But because we can't construct the big array, so we can't apply the standard solution for this problem.<br />Let's see first how to solve the standard problem, the following code solves it for a given array arr with length len:<br /><br />int mx = -(1 << 30);<br />int sum = 0;<br />for (int j = 0; j < len; j++) {<br /> mx = max(mx, arr[i]); // we need this for the case where all elements in the array are negatives<br /> sum += arr[i];<br /> if (sum < 0)<br /> sum = 0;<br /> else<br /> mx = max(mx, sum);<br />}<br /><br />Now let's solve the big array problem, the first step is to calculate 4 values for each small array:<br />1- The total sum of it, let's call it tot.<br />2- The maximum sum of 0 or more consecutive elements starting from the first element in the array, let's call it lft.<br />3- The maximum sum of 0 or more consecutive elements ending at the last element in the array, let's call it rght.<br />4- The maximum sum of 1 or more consecutive elements, let's call it gen.<br /><br />The final result will be 1 of 2 cases:<br />1- The consecutive elements with the maximum sum will start and end inside the same small array.<br />2- The consecutive elements with the maximum sum will start and end inside different small arrays.<br /><br />For the first case, we can simply pick the maximum gen for all small arrays which exist in the big array.<br />For the second case, we can apply something similar to the standard solution, we will keep a variable called sum, and it's initialized to 0, this will be the maximum sum of 0 or more consecutive elements ending at the last element in the previous small array. Now for each small array, if the maximum possible sum will end in this small array, so it will be sum+lft and maximize over this value (make sure this will be for 1 or more elements). And we need to update sum to be the maximum of the following 3 values:<br />1- sum+tot (we will include all elements of this small array to the old sum).<br />2- rght (we will take the maximum sum ending at the last element in the current small array).<br />3- 0 (we will not take any elements in sum).<br /><br />The running time for this solution will be just for reading the input, in my solutions I have no iterations except for reading the input.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/bsxvF4aC\">C++ solution for problem D.</a><br /><a href=\"http://pastebin.com/k1hzX5XD\">Java solution for problem D.</a><br /><br /><br /><b>Problem E:</b><br />The main idea for this problem is not hard, but maybe the hard part is implementing it.<br />First we need to know if the straight line segment between the source and destination points intersect with the island or not. So we will intersect this line segment with all the polygon sides. If there are 2 segments intersect in more than 1 point we will consider as they don't intersect, because it's mentioned in the problem statement that you can move on the island's edge and it will be considered in the sea.<br />Now we have a set of all distinct intersection points of the polygon and the straight line segment between the source and destination points. Because the polygon is convex, this set will contain at most 2 points. We have 3 different cases now:<br />1- This set contains less than 2 points.<br />2- This set contains 2 points and they are on the same polygon side.<br />3- This set contains 2 points and they are not on the same polygon side.<br /><br />In the first 2 cases the result will be simply the length of the straight line segment.<br />In the 3rd case you can do the following:<br />1- Move from the source point to the nearest point of the 2 intersection points.<br />2- You have 3 options here:<br /> a- Move inside the island to the other intersection point.<br /> b- Move in clockwise direction on the island's edge to the other intersection point.<br /> c- Move in anti-clockwise direction on the island's edge to the other intersection point.<br /> First option will be considered moving inside the island, and the other 2 options will be considered moving in the sea.<br /> You should pick the minimum one.<br />3- Move from the 2nd intersection point to the destination point.<br /><br />Another solution:<br />You can construct a graph where the nodes are the source point, the destination point, the intersection points and the polygon corner points. Then add an edge between any 2 points which you can move between them with the corresponding cost. Then run any shortest path algorithm, Floyd Warshall for example.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/7jgsu40r\">C++ solution for problem E.</a><br /><a href=\"http://pastebin.com/cZVCifwt\">C++ solution for problem E (with Floyd Warshall).</a></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/75\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 67 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-229-1715\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"229\",\n blogEntryId: \"1715\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2367\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #67</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+44</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/ahmed_aly\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/ahmed_aly\">\n ahmed_aly\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1715#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1715#comments\">\n 25\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1725\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (21)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32752\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/eik0u\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1231/avatar/7637a0d6900a713b.jpg'/> </a>\n <div><a href=\"/profile/eik0u\" title=\"Expert eik0u\" class=\"rated-user user-blue\">eik0u</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 22:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32752\" href=\"?#comment-32752\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32752\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"1231\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32752\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">D is also my favourite problem in this problem set :)<div>And the whole problem set is very nice. It is very diverse: easy implementation, math, dp/classic, geometry. And problems do not require extraodinary knowledge in algorithms.</div><div>This round was very suitable for Div2.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32752 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32752 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32752\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32770\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 23:43\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32770\" href=\"?#comment-32770\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32770\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32770\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent Tutorial's , several ways several code for each one , good luck <a class=\"rated-user user-orange\" href=\"../../profile/ahmed_aly\" title=\"Major ahmed_aly\">ahmed_aly</a></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32770 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32770 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32770\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32800\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32800\" href=\"?#comment-32800\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32800\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"4\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+4</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32800\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(In English)<div><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Very nice contest</span><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">B can be also solved using regexps</div></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\"><br /></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Also in Java we use List, Vector is deprecated ;)</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32800 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32800 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32800\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32801\" commentParentId=\"32800\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:56\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32801\" href=\"?#comment-32801\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32800\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"32801\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"32801\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32801\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Thanks, but I'm not very good Java coder. :)</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32801 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32801 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32801\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32844\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ACCEPT\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/ACCEPT\" title=\"Unrated, ACCEPT\" class=\"rated-user user-black\">ACCEPT</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 16:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32844\" href=\"?#comment-32844\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32844\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"14879\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32844\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">thank's for your nice contest and tutorial.<div>I have a question for problem E:</div><div>why your algo is correct?</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32844 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32844 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32844\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32913\" commentParentId=\"32844\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:46\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32913\" href=\"?#comment-32913\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32844\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32913\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32913\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Because you can only move to safe points, so you don't have any other choice.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32913 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32913 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32913\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32855\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/novkostya\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/novkostya\" title=\"Expert novkostya\" class=\"rated-user user-blue\">novkostya</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 18:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32855\" href=\"?#comment-32855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5985\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(C++ solution for problem C)<br />std::back_inserter(cd) seems to be more applicable than std::inserter(cd, cd.begin())</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32855\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32861\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:03\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32861\" href=\"?#comment-32861\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32861\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32861\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">The c++ code for problem A has integer overflow, since a and b can be up to 999999999, c=a+b cannot fit into 32-bit int. My solution had the same issue and got hacked.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32861 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32861 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32861\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32863\" commentParentId=\"32861\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:05\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32863\" href=\"?#comment-32863\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32861\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32863\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32863\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Actually 1999999998 fits into 32bit signed integer</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32863 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32863 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32863\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32891\" commentParentId=\"32863\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 22:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32891\" href=\"?#comment-32891\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32863\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32891\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32891\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">That's right. Just realized that my overflow is due to 8999999991, the reverse of 1999999998.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32891 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32891 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32891\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32868\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32868\" href=\"?#comment-32868\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32868\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32868\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">what does the instruction factor[name1] do?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32868 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32868 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32868\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32915\" commentParentId=\"32868\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:48\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32915\" href=\"?#comment-32915\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32868\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32915\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32915\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Just to make an entry for name1 in the map, and it will be 0. Because I have to print all names even if the factor is 0.<br />If there is no entry for name1, nothing will happen. If there is no entry, it will be the same as factor[name1] = 0.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32915 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32915 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32915\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32937\" commentParentId=\"32915\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 00:51\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32937\" href=\"?#comment-32937\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32915\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32937\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32937\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">interesting, I just did map.find()==map.end(), but this is much cooler.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32937 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32937 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32937\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32946\" commentParentId=\"32937\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/smilitude\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/68/avatar/e81e4a6fe0f7bdd8.jpg'/> </a>\n <div><a href=\"/profile/smilitude\" title=\"Expert smilitude\" class=\"rated-user user-blue\">smilitude</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32946\" href=\"?#comment-32946\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32937\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32946\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"68\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32946\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It's actually safer that way. If you search with if( map[ name1 ] ), every time you do the query, the size of the map increases by 1. Try this - <br /> <pre> \n map< int,int > one, two;\n for(int i=1;i<=100; i++) if( one[i] );\n for(int i=1;i<=100; i++) if( two.find(i) == two.end() );\n cout << one.size() << " " << two.size() << endl;\n</pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32946 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32946 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32946\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32948\" commentParentId=\"32946\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32948\" href=\"?#comment-32948\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32946\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32948\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32948\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In this problem it's the same, because I wanted to make an entry anyway if it doesn't exist.<br />I didn't write this statement as an if condition.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32948 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32948 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32948\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278325\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/shubhamgoyal__\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/shubhamgoyal__\" title=\"Candidate Master shubhamgoyal__\" class=\"rated-user user-violet\">shubhamgoyal__</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:17\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278325\" href=\"?#comment-278325\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278325\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"321533\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278325\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>great explanation for problem D!!!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278325 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278325 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278325\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278326\" commentParentId=\"278325\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/P_Nyagolov\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/239110/avatar/9494c230dc159315.jpg'/> </a>\n <div><a href=\"/profile/P_Nyagolov\" title=\"Expert P_Nyagolov\" class=\"rated-user user-blue\">P_Nyagolov</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:26\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278326\" href=\"?#comment-278326\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-278325\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278326\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"239110\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278326\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Seriously, guys, what's wrong with you?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278326 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278326 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278326\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599691\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Amr-Fahmy\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/858870/avatar/5c5b1d238b408975.jpg'/> </a>\n <div><a href=\"/profile/Amr-Fahmy\" title=\"Expert Amr-Fahmy\" class=\"rated-user user-blue\">Amr-Fahmy</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:21\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599691\" href=\"?#comment-599691\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599691\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"858870\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599691\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I am here after 9 years, The explanation of problem D is the best explanation i have ever read on codeforces ! Thank you</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599691 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599691 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599691\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599695\" commentParentId=\"599691\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:45\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599695\" href=\"?#comment-599695\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-599691\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599695\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599695\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Thanks!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599695 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599695 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599695\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612647\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/hereForFun\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/695688/avatar/5e5b50c23f422942.jpg'/> </a>\n <div><a href=\"/profile/hereForFun\" title=\"Pupil hereForFun\" class=\"rated-user user-green\">hereForFun</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:06\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612647\" href=\"?#comment-612647\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612647\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"695688\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612647\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hello! I am here from the a2oj ladder. I received a WA on test case 14 in problem A. When I checked the test case and ran it locally, it is giving the correct answer. Why is the output different here? <a href=\"https://codeforces.com/contest/75/submission/78440577\">https://codeforces.com/contest/75/submission/78440577</a> Here is my submission.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612647 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612647 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612647\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612658\" commentParentId=\"612647\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/qpwoeirut\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1165565/avatar/71d9b6b641fb567b.jpg'/> </a>\n <div><a href=\"/profile/qpwoeirut\" title=\"Candidate Master qpwoeirut\" class=\"rated-user user-violet\">qpwoeirut</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:56\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612658\" href=\"?#comment-612658\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-612647\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612658\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1165565\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612658\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>It looks like you're getting overflow from <code>(digit*pow(10,nonZero))</code>. This can be fixed by using a running place multiplier instead of <code>pow</code>.</p><p>See <a href=\"/contest/75/submission/78443731\" title=\"Submission 78443731 by qpwoeirut\">78443731</a> for an accepted version of your code with that change.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612658 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612658 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612658\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1725\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":377,"cells":{"problem_id":{"kind":"string","value":"75C"},"contest":{"kind":"string","value":"75"},"problem":{"kind":"string","value":"C"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"C. Modified GCD"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Modified GCD</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers.</p><p>A common divisor for two positive numbers is a number which both numbers are divisible by.</p><p>But your teacher wants to give you a harder task, in this task you have to find the greatest common divisor <span class=\"tex-span\"><i>d</i></span> between two integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> that is in a given range from <span class=\"tex-span\"><i>low</i></span> to <span class=\"tex-span\"><i>high</i></span> (inclusive), i.e. <span class=\"tex-span\"><i>low</i> ≤ <i>d</i> ≤ <i>high</i></span>. It is possible that there is no common divisor in the given range.</p><p>You will be given the two integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span>, then <span class=\"tex-span\"><i>n</i></span> queries. Each query is a range from <span class=\"tex-span\"><i>low</i></span> to <span class=\"tex-span\"><i>high</i></span> and you have to answer each query.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span>, the two integers as described above (<span class=\"tex-span\">1 ≤ <i>a</i>, <i>b</i> ≤ 10<sup class=\"upper-index\">9</sup></span>). The second line contains one integer <span class=\"tex-span\"><i>n</i></span>, the number of queries (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">4</sup></span>). Then <span class=\"tex-span\"><i>n</i></span> lines follow, each line contains one query consisting of two integers, <span class=\"tex-span\"><i>low</i></span> and <span class=\"tex-span\"><i>high</i></span> (<span class=\"tex-span\">1 ≤ <i>low</i> ≤ <i>high</i> ≤ 10<sup class=\"upper-index\">9</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>n</i></span> lines. The <span class=\"tex-span\"><i>i</i></span>-th of them should contain the result of the <span class=\"tex-span\"><i>i</i></span>-th query in the input. If there is no common divisor in the given range for any query, you should print <span class=\"tex-font-style-tt\">-1</span> as a result for this query.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>9 27<br/>3<br/>1 5<br/>10 11<br/>9 11<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3<br/>-1<br/>9<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"4954134490b4e595df3d3483cd627a75\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - C - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"95cf41988c07fa21d41dc2c0e28e84705feefd57\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - C - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/75\">Codeforces Beta Round 67 (Div. 2)</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? Just register for practice and you will be able to submit solutions.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"\" method=\"post\"><input type='hidden' name='csrf_token' value='4954134490b4e595df3d3483cd627a75'/>\r\n <input type=\"hidden\" name=\"action\" value=\"registerForPractice\"/>\r\n <input type=\"submit\" name=\"submit\" value=\"Register for practice\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div> \r\n</div>\r\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox ContestVirtualFrame borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Virtual participation <i class=\"sidebar-caption-icon las la-angle-down\"></i>\r\n\n <div class=\"top-links\">\n </div>\n </div>\n<div style=\" \"\r\n\r\n data-page-url=\"/data/sidebarFrames\"\r\n\r\n>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/75/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Binary search\">\r\n binary search\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Number theory: Euler function, GCD, divisibility, etc\">\r\n number theory\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1600\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='4954134490b4e595df3d3483cd627a75'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"399\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='4954134490b4e595df3d3483cd627a75'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"399\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box img\").click(function () {\r\n var tagName = $(this).attr(\"value\");\r\n Codeforces.confirm(\"Are you sure you want to remove this tag?\", function () {\r\n $(\"#removeTagForm input[name=tagName]\").val(tagName);\r\n $(\"#removeTagForm\").submit();\r\n }, function () {\r\n }, \"Yes\", \"No\");\r\n });\r\n\r\n $(\"#addTagLink\").click(function () {\r\n $(this).hide();\r\n $(\"#addTagLabel\").show();\r\n return false;\r\n });\r\n\r\n $(\"#addTagSelect\").change(function () {\r\n var tagName = $(this).val();\r\n if (tagName === \"\") {\r\n $(\"#addTagLabel\").hide();\r\n $(\"#addTagLink\").show();\r\n } else {\r\n $(\"#addTagForm input[name=tagName]\").val(tagName);\r\n $(\"#addTagForm\").submit();\r\n }\r\n });\r\n</script>\r\n\r\n<style type=\"text/css\">\r\n#new-resource-form tr td {\r\npadding-top: 0.5em;\r\n}\r\n#new-resource-form input:not([type=\"submit\"]) {\r\nfont-size: 0.8em;\r\n}\r\n#new-resource-form select {\r\nfont-size: 0.8em;\r\n}\r\n.new-resource-error {\r\nfont-size: 0.8em;\r\n}\r\n.resource-locale {\r\ncolor: #666;\r\nfont-family: Consolas, \"Andale Mono WT\", \"Andale Mono\", \"Lucida Console\", \"Lucida Sans Typewriter\", \"DejaVu Sans Mono\", \"Bitstream Vera Sans Mono\", \"Liberation Mono\", \"Nimbus Mono L\", Monaco, \"Courier New\", Courier, monospace;\r\n}\r\n</style>\r\n<div class=\"roundbox sidebox sidebar-menu borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Contest materials\n<div class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1713\" title=\"Codeforces Beta Round #67 (Div. 2)\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"254:255\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1715\" title=\"Codeforces Beta Round #67 (Div. 2) Editorial\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"841\" resourceName=\"Codeforces Beta Round #67 (Div. 2) Editorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1717\" title=\"Codeforces Beta Round #67 (Div. 2), my solutions\" target=\"_blank\">Tutorial #2 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"842\" resourceName=\"Codeforces Beta Round #67 (Div. 2), my solutions\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/75\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/75/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/75/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/75/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/75/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/75/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/75/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/75/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 185, 185);\r\n padding: 3px;\r\n margin: 1px;\r\n line-height: 1.1rem;\r\n text-transform: none;\r\n }\r\n\r\n .input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(OPENING_SPACE);\r\n }\r\n\r\n if (node.nodeType === Node.TEXT_NODE) {\r\n let s = node.textContent;\r\n if (!pre) {\r\n s = s.replace(/\\s+/g, \" \");\r\n }\r\n if (s.length > 0) {\r\n result.push(s);\r\n }\r\n }\r\n\r\n if (pre && node.tagName === \"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n result.push(nodeToText(child, node.tagName === \"PRE\").join(\"\"));\r\n });\r\n\r\n if (node.tagName === \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName === \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"C\" data-uuid=\"ps_be966a026241b7bfcb35955be845cb582640b9b5\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Modified GCD</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers.</p><p>A common divisor for two positive numbers is a number which both numbers are divisible by.</p><p>But your teacher wants to give you a harder task, in this task you have to find the greatest common divisor <span class=\"tex-span\"><i>d</i></span> between two integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> that is in a given range from <span class=\"tex-span\"><i>low</i></span> to <span class=\"tex-span\"><i>high</i></span> (inclusive), i.e. <span class=\"tex-span\"><i>low</i> ≤ <i>d</i> ≤ <i>high</i></span>. It is possible that there is no common divisor in the given range.</p><p>You will be given the two integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span>, then <span class=\"tex-span\"><i>n</i></span> queries. Each query is a range from <span class=\"tex-span\"><i>low</i></span> to <span class=\"tex-span\"><i>high</i></span> and you have to answer each query.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span>, the two integers as described above (<span class=\"tex-span\">1 ≤ <i>a</i>, <i>b</i> ≤ 10<sup class=\"upper-index\">9</sup></span>). The second line contains one integer <span class=\"tex-span\"><i>n</i></span>, the number of queries (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">4</sup></span>). Then <span class=\"tex-span\"><i>n</i></span> lines follow, each line contains one query consisting of two integers, <span class=\"tex-span\"><i>low</i></span> and <span class=\"tex-span\"><i>high</i></span> (<span class=\"tex-span\">1 ≤ <i>low</i> ≤ <i>high</i> ≤ 10<sup class=\"upper-index\">9</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>n</i></span> lines. The <span class=\"tex-span\"><i>i</i></span>-th of them should contain the result of the <span class=\"tex-span\"><i>i</i></span>-th query in the input. If there is no common divisor in the given range for any query, you should print <span class=\"tex-font-style-tt\">-1</span> as a result for this query.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>9 27<br />3<br />1 5<br />10 11<br />9 11<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3<br />-1<br />9<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=C]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='1321d1a35aa6147cbfdbbcf6e0b61c0b'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/ahmed_aly\">ahmed_aly</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/ahmed_aly\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/ahmed_aly\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/ahmed_aly\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/ahmed_aly\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/ahmed_aly\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/ahmed_aly\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/ahmed_aly\" style=\"text-decoration:none;color:black !important;\">ahmed_aly's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1715\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1715\"> Codeforces Beta Round #67 (Div. 2) Editorial\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a>,\r\n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><b>Problem A:</b><br />In this problem you need to do what is written in the statement. You can do it in the following 3 steps:<br />1- Calculate C.<br />2- Remove all zeros from A, B and C.<br />3- Check if the new values form a correct equation.<br /><br /><a href=\"http://pastebin.com/1cc1xKNW\">C++ solution for problem A.</a><br /><br /><br /><b>Problem B:</b><br />This problem is a direct simulation to the rules written in the problem statement.<br />You need to iterate over all actions and parse each one to know the type of the action, and the 2 names X and Y, and if your name is X or Y then update your priority factor with this person with the action corresponding value. And take care about some special names like "post", "wall", "commented" and "on".<br />Then sort all names according to the sorting criteria mentioned in the statement.<br />Just make sure to print all names which are mentioned in the input (excluding yourself), even if the priority factor with you is 0.<br /><br /><a href=\"http://pastebin.com/cGHAv8qs\">C++ solution for problem B.</a><br /><br /><br /><b>Problem C:</b><br />In this problem you will need to generate all common divisors between a and b before answering any query.<br />The first step in this problem is to factorize a and b, you can use the trial division technique which runs in O(sqrt(N)), you can check getFactors function in my solutions.<br />Then using a recursive function you can generate all divisors for a and b from their prime factors, you can check getDivisors function in my solutions.<br />Then intersect the 2 sets of divisors for both to get all common divisors, you can do this in O(N+M) where N and M are the lengths of the 2 sets, and also you can do a trivial O(N*M) intersection algorithm, because the maximum number of divisors is not too big (it's 1344).<br />Now for each query you need to find the largest common divisor which lies in the given range, you can do this by sorting all common divisors and do binary search for the largest one which lies in the given range. Also you can do this using linear search, because the total number of queries is not too big.<br /><br />Also there is much shorter solution for this problem. Here is a hint for it, the GCD between a and b should be dividable by all common divisors of a and b.<br /><br /><a href=\"http://pastebin.com/zcEGkKhw\">C++ solution for problem C (with binary search).</a><br /><a href=\"http://pastebin.com/Uw4rG7Ar\">C++ solution for problem C (without binary search).</a><br /><a href=\"http://pastebin.com/Nd54H6em\">Java solution for problem C (with binary search).</a><br /><br /><br /><b>Problem D:</b><br />This problem is my favorite one in this problem set. Maybe it will be easier to solve this problem if you know how to solve the standard one.<br />But because we can't construct the big array, so we can't apply the standard solution for this problem.<br />Let's see first how to solve the standard problem, the following code solves it for a given array arr with length len:<br /><br />int mx = -(1 << 30);<br />int sum = 0;<br />for (int j = 0; j < len; j++) {<br /> mx = max(mx, arr[i]); // we need this for the case where all elements in the array are negatives<br /> sum += arr[i];<br /> if (sum < 0)<br /> sum = 0;<br /> else<br /> mx = max(mx, sum);<br />}<br /><br />Now let's solve the big array problem, the first step is to calculate 4 values for each small array:<br />1- The total sum of it, let's call it tot.<br />2- The maximum sum of 0 or more consecutive elements starting from the first element in the array, let's call it lft.<br />3- The maximum sum of 0 or more consecutive elements ending at the last element in the array, let's call it rght.<br />4- The maximum sum of 1 or more consecutive elements, let's call it gen.<br /><br />The final result will be 1 of 2 cases:<br />1- The consecutive elements with the maximum sum will start and end inside the same small array.<br />2- The consecutive elements with the maximum sum will start and end inside different small arrays.<br /><br />For the first case, we can simply pick the maximum gen for all small arrays which exist in the big array.<br />For the second case, we can apply something similar to the standard solution, we will keep a variable called sum, and it's initialized to 0, this will be the maximum sum of 0 or more consecutive elements ending at the last element in the previous small array. Now for each small array, if the maximum possible sum will end in this small array, so it will be sum+lft and maximize over this value (make sure this will be for 1 or more elements). And we need to update sum to be the maximum of the following 3 values:<br />1- sum+tot (we will include all elements of this small array to the old sum).<br />2- rght (we will take the maximum sum ending at the last element in the current small array).<br />3- 0 (we will not take any elements in sum).<br /><br />The running time for this solution will be just for reading the input, in my solutions I have no iterations except for reading the input.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/bsxvF4aC\">C++ solution for problem D.</a><br /><a href=\"http://pastebin.com/k1hzX5XD\">Java solution for problem D.</a><br /><br /><br /><b>Problem E:</b><br />The main idea for this problem is not hard, but maybe the hard part is implementing it.<br />First we need to know if the straight line segment between the source and destination points intersect with the island or not. So we will intersect this line segment with all the polygon sides. If there are 2 segments intersect in more than 1 point we will consider as they don't intersect, because it's mentioned in the problem statement that you can move on the island's edge and it will be considered in the sea.<br />Now we have a set of all distinct intersection points of the polygon and the straight line segment between the source and destination points. Because the polygon is convex, this set will contain at most 2 points. We have 3 different cases now:<br />1- This set contains less than 2 points.<br />2- This set contains 2 points and they are on the same polygon side.<br />3- This set contains 2 points and they are not on the same polygon side.<br /><br />In the first 2 cases the result will be simply the length of the straight line segment.<br />In the 3rd case you can do the following:<br />1- Move from the source point to the nearest point of the 2 intersection points.<br />2- You have 3 options here:<br /> a- Move inside the island to the other intersection point.<br /> b- Move in clockwise direction on the island's edge to the other intersection point.<br /> c- Move in anti-clockwise direction on the island's edge to the other intersection point.<br /> First option will be considered moving inside the island, and the other 2 options will be considered moving in the sea.<br /> You should pick the minimum one.<br />3- Move from the 2nd intersection point to the destination point.<br /><br />Another solution:<br />You can construct a graph where the nodes are the source point, the destination point, the intersection points and the polygon corner points. Then add an edge between any 2 points which you can move between them with the corresponding cost. Then run any shortest path algorithm, Floyd Warshall for example.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/7jgsu40r\">C++ solution for problem E.</a><br /><a href=\"http://pastebin.com/cZVCifwt\">C++ solution for problem E (with Floyd Warshall).</a></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/75\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 67 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-229-1715\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"229\",\n blogEntryId: \"1715\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2367\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #67</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+44</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/ahmed_aly\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/ahmed_aly\">\n ahmed_aly\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1715#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1715#comments\">\n 25\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1725\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (21)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32752\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/eik0u\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1231/avatar/7637a0d6900a713b.jpg'/> </a>\n <div><a href=\"/profile/eik0u\" title=\"Expert eik0u\" class=\"rated-user user-blue\">eik0u</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 22:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32752\" href=\"?#comment-32752\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32752\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"1231\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32752\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">D is also my favourite problem in this problem set :)<div>And the whole problem set is very nice. It is very diverse: easy implementation, math, dp/classic, geometry. And problems do not require extraodinary knowledge in algorithms.</div><div>This round was very suitable for Div2.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32752 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32752 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32752\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32770\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 23:43\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32770\" href=\"?#comment-32770\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32770\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32770\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent Tutorial's , several ways several code for each one , good luck <a class=\"rated-user user-orange\" href=\"../../profile/ahmed_aly\" title=\"Major ahmed_aly\">ahmed_aly</a></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32770 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32770 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32770\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32800\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32800\" href=\"?#comment-32800\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32800\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"4\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+4</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32800\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(In English)<div><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Very nice contest</span><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">B can be also solved using regexps</div></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\"><br /></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Also in Java we use List, Vector is deprecated ;)</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32800 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32800 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32800\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32801\" commentParentId=\"32800\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:56\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32801\" href=\"?#comment-32801\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32800\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"32801\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"32801\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32801\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Thanks, but I'm not very good Java coder. :)</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32801 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32801 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32801\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32844\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ACCEPT\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/ACCEPT\" title=\"Unrated, ACCEPT\" class=\"rated-user user-black\">ACCEPT</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 16:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32844\" href=\"?#comment-32844\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32844\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"14879\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32844\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">thank's for your nice contest and tutorial.<div>I have a question for problem E:</div><div>why your algo is correct?</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32844 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32844 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32844\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32913\" commentParentId=\"32844\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:46\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32913\" href=\"?#comment-32913\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32844\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32913\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32913\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Because you can only move to safe points, so you don't have any other choice.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32913 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32913 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32913\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32855\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/novkostya\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/novkostya\" title=\"Expert novkostya\" class=\"rated-user user-blue\">novkostya</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 18:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32855\" href=\"?#comment-32855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5985\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(C++ solution for problem C)<br />std::back_inserter(cd) seems to be more applicable than std::inserter(cd, cd.begin())</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32855\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32861\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:03\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32861\" href=\"?#comment-32861\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32861\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32861\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">The c++ code for problem A has integer overflow, since a and b can be up to 999999999, c=a+b cannot fit into 32-bit int. My solution had the same issue and got hacked.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32861 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32861 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32861\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32863\" commentParentId=\"32861\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:05\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32863\" href=\"?#comment-32863\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32861\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32863\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32863\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Actually 1999999998 fits into 32bit signed integer</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32863 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32863 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32863\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32891\" commentParentId=\"32863\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 22:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32891\" href=\"?#comment-32891\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32863\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32891\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32891\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">That's right. Just realized that my overflow is due to 8999999991, the reverse of 1999999998.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32891 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32891 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32891\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32868\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32868\" href=\"?#comment-32868\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32868\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32868\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">what does the instruction factor[name1] do?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32868 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32868 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32868\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32915\" commentParentId=\"32868\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:48\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32915\" href=\"?#comment-32915\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32868\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32915\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32915\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Just to make an entry for name1 in the map, and it will be 0. Because I have to print all names even if the factor is 0.<br />If there is no entry for name1, nothing will happen. If there is no entry, it will be the same as factor[name1] = 0.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32915 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32915 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32915\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32937\" commentParentId=\"32915\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 00:51\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32937\" href=\"?#comment-32937\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32915\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32937\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32937\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">interesting, I just did map.find()==map.end(), but this is much cooler.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32937 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32937 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32937\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32946\" commentParentId=\"32937\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/smilitude\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/68/avatar/e81e4a6fe0f7bdd8.jpg'/> </a>\n <div><a href=\"/profile/smilitude\" title=\"Expert smilitude\" class=\"rated-user user-blue\">smilitude</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32946\" href=\"?#comment-32946\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32937\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32946\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"68\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32946\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It's actually safer that way. If you search with if( map[ name1 ] ), every time you do the query, the size of the map increases by 1. Try this - <br /> <pre> \n map< int,int > one, two;\n for(int i=1;i<=100; i++) if( one[i] );\n for(int i=1;i<=100; i++) if( two.find(i) == two.end() );\n cout << one.size() << " " << two.size() << endl;\n</pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32946 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32946 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32946\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32948\" commentParentId=\"32946\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32948\" href=\"?#comment-32948\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32946\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32948\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32948\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In this problem it's the same, because I wanted to make an entry anyway if it doesn't exist.<br />I didn't write this statement as an if condition.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32948 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32948 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32948\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278325\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/shubhamgoyal__\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/shubhamgoyal__\" title=\"Candidate Master shubhamgoyal__\" class=\"rated-user user-violet\">shubhamgoyal__</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:17\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278325\" href=\"?#comment-278325\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278325\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"321533\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278325\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>great explanation for problem D!!!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278325 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278325 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278325\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278326\" commentParentId=\"278325\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/P_Nyagolov\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/239110/avatar/9494c230dc159315.jpg'/> </a>\n <div><a href=\"/profile/P_Nyagolov\" title=\"Expert P_Nyagolov\" class=\"rated-user user-blue\">P_Nyagolov</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:26\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278326\" href=\"?#comment-278326\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-278325\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278326\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"239110\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278326\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Seriously, guys, what's wrong with you?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278326 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278326 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278326\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599691\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Amr-Fahmy\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/858870/avatar/5c5b1d238b408975.jpg'/> </a>\n <div><a href=\"/profile/Amr-Fahmy\" title=\"Expert Amr-Fahmy\" class=\"rated-user user-blue\">Amr-Fahmy</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:21\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599691\" href=\"?#comment-599691\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599691\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"858870\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599691\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I am here after 9 years, The explanation of problem D is the best explanation i have ever read on codeforces ! Thank you</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599691 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599691 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599691\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599695\" commentParentId=\"599691\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:45\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599695\" href=\"?#comment-599695\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-599691\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599695\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599695\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Thanks!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599695 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599695 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599695\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612647\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/hereForFun\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/695688/avatar/5e5b50c23f422942.jpg'/> </a>\n <div><a href=\"/profile/hereForFun\" title=\"Pupil hereForFun\" class=\"rated-user user-green\">hereForFun</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:06\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612647\" href=\"?#comment-612647\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612647\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"695688\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612647\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hello! I am here from the a2oj ladder. I received a WA on test case 14 in problem A. When I checked the test case and ran it locally, it is giving the correct answer. Why is the output different here? <a href=\"https://codeforces.com/contest/75/submission/78440577\">https://codeforces.com/contest/75/submission/78440577</a> Here is my submission.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612647 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612647 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612647\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612658\" commentParentId=\"612647\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/qpwoeirut\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1165565/avatar/71d9b6b641fb567b.jpg'/> </a>\n <div><a href=\"/profile/qpwoeirut\" title=\"Candidate Master qpwoeirut\" class=\"rated-user user-violet\">qpwoeirut</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:56\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612658\" href=\"?#comment-612658\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-612647\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612658\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1165565\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612658\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>It looks like you're getting overflow from <code>(digit*pow(10,nonZero))</code>. This can be fixed by using a running place multiplier instead of <code>pow</code>.</p><p>See <a href=\"/contest/75/submission/78443731\" title=\"Submission 78443731 by qpwoeirut\">78443731</a> for an accepted version of your code with that change.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612658 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612658 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612658\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1725\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":378,"cells":{"problem_id":{"kind":"string","value":"75D"},"contest":{"kind":"string","value":"75"},"problem":{"kind":"string","value":"D"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"D. Big Maximum Sum"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Big Maximum Sum</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Ahmed and Mostafa used to compete together in many programming contests for several years. Their coach Fegla asked them to solve one challenging problem, of course Ahmed was able to solve it but Mostafa couldn't.</p><p>This problem is similar to a standard problem but it has a different format and constraints.</p><p>In the standard problem you are given an array of integers, and you have to find one or more consecutive elements in this array where their sum is the maximum possible sum.</p><p>But in this problem you are given <span class=\"tex-span\"><i>n</i></span> small arrays, and you will create one big array from the concatenation of one or more instances of the small arrays (each small array could occur more than once). The big array will be given as an array of indexes (1-based) of the small arrays, and the concatenation should be done in the same order as in this array. Then you should apply the standard problem mentioned above on the resulting big array.</p><p>For example let's suppose that the small arrays are {1, 6, -2}, {3, 3} and {-5, 1}. And the indexes in the big array are {2, 3, 1, 3}. So the actual values in the big array after formatting it as concatenation of the small arrays will be {3, 3, -5, 1, 1, 6, -2, -5, 1}. In this example the maximum sum is 9.</p><p>Can you help Mostafa solve this problem?</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>m</i></span>, <span class=\"tex-span\"><i>n</i></span> is the number of the small arrays (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 50</span>), and <span class=\"tex-span\"><i>m</i></span> is the number of indexes in the big array (<span class=\"tex-span\">1 ≤ <i>m</i> ≤ 250000</span>). Then follow <span class=\"tex-span\"><i>n</i></span> lines, the <span class=\"tex-span\"><i>i</i></span>-th line starts with one integer <span class=\"tex-span\"><i>l</i></span> which is the size of the <span class=\"tex-span\"><i>i</i></span>-th array (<span class=\"tex-span\">1 ≤ <i>l</i> ≤ 5000</span>), followed by <span class=\"tex-span\"><i>l</i></span> integers each one will be greater than or equal -1000 and less than or equal 1000. The last line contains <span class=\"tex-span\"><i>m</i></span> integers which are the indexes in the big array, and you should concatenate the small arrays in the same order, and each index will be greater than or equal to 1 and less than or equal to <span class=\"tex-span\"><i>n</i></span>.</p><p>The small arrays are numbered from 1 to <span class=\"tex-span\"><i>n</i></span> in the same order as given in the input. Some of the given small arrays may not be used in big array.</p><p>Note, that the array is very big. So if you try to build it straightforwardly, you will probably get time or/and memory limit exceeded.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print one line containing the maximum sum in the big array after formatting it as described above. You must choose at least one element for the sum, i. e. it cannot be empty.</p><p>Please, do not use <span class=\"tex-font-style-tt\">%lld</span> specificator to write 64-bit integers in C++. It is preferred to use <span class=\"tex-font-style-tt\">cout</span> (also you may use <span class=\"tex-font-style-tt\">%I64d</span>).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 4<br/>3 1 6 -2<br/>2 3 3<br/>2 -5 1<br/>2 3 1 3<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>9<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>6 1<br/>4 0 8 -3 -10<br/>8 3 -2 -5 10 8 -9 -5 -4<br/>1 0<br/>1 -3<br/>3 -8 5 6<br/>2 9 6<br/>1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>8<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"18c5ec36b63a1dd557b08082cb041522\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - D - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"95cf41988c07fa21d41dc2c0e28e84705feefd57\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - D - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/75\">Codeforces Beta Round 67 (Div. 2)</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? Just register for practice and you will be able to submit solutions.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"\" method=\"post\"><input type='hidden' name='csrf_token' value='18c5ec36b63a1dd557b08082cb041522'/>\r\n <input type=\"hidden\" name=\"action\" value=\"registerForPractice\"/>\r\n <input type=\"submit\" name=\"submit\" value=\"Register for practice\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div> \r\n</div>\r\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox ContestVirtualFrame borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Virtual participation <i class=\"sidebar-caption-icon las la-angle-down\"></i>\r\n\n <div class=\"top-links\">\n </div>\n </div>\n<div style=\" \"\r\n\r\n data-page-url=\"/data/sidebarFrames\"\r\n\r\n>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/75/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Heaps, binary search trees, segment trees, hash tables, etc\">\r\n data structures\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Dynamic programming\">\r\n dp\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Greedy algorithms\">\r\n greedy\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Implementation problems, programming technics, simulation\">\r\n implementation\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Mathematics including integration, differential equations, etc\">\r\n math\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Trees\">\r\n trees\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *2000\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='18c5ec36b63a1dd557b08082cb041522'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"400\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='18c5ec36b63a1dd557b08082cb041522'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"400\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box img\").click(function () {\r\n var tagName = $(this).attr(\"value\");\r\n Codeforces.confirm(\"Are you sure you 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\"Lucida Console\", \"Lucida Sans Typewriter\", \"DejaVu Sans Mono\", \"Bitstream Vera Sans Mono\", \"Liberation Mono\", \"Nimbus Mono L\", Monaco, \"Courier New\", Courier, monospace;\r\n}\r\n</style>\r\n<div class=\"roundbox sidebox sidebar-menu borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Contest materials\n<div class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1713\" title=\"Codeforces Beta Round #67 (Div. 2)\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"254:255\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1715\" title=\"Codeforces Beta Round #67 (Div. 2) Editorial\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"841\" resourceName=\"Codeforces Beta Round #67 (Div. 2) Editorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1717\" title=\"Codeforces Beta Round #67 (Div. 2), my solutions\" target=\"_blank\">Tutorial #2 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"842\" resourceName=\"Codeforces Beta Round #67 (Div. 2), my solutions\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/75\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/75/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/75/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/75/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/75/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/75/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/75/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/75/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem 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\"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"D\" data-uuid=\"ps_a8f2f889657154cc5db337ece8d03f25ee6007a0\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Big Maximum Sum</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Ahmed and Mostafa used to compete together in many programming contests for several years. Their coach Fegla asked them to solve one challenging problem, of course Ahmed was able to solve it but Mostafa couldn't.</p><p>This problem is similar to a standard problem but it has a different format and constraints.</p><p>In the standard problem you are given an array of integers, and you have to find one or more consecutive elements in this array where their sum is the maximum possible sum.</p><p>But in this problem you are given <span class=\"tex-span\"><i>n</i></span> small arrays, and you will create one big array from the concatenation of one or more instances of the small arrays (each small array could occur more than once). The big array will be given as an array of indexes (1-based) of the small arrays, and the concatenation should be done in the same order as in this array. Then you should apply the standard problem mentioned above on the resulting big array.</p><p>For example let's suppose that the small arrays are {1, 6, -2}, {3, 3} and {-5, 1}. And the indexes in the big array are {2, 3, 1, 3}. So the actual values in the big array after formatting it as concatenation of the small arrays will be {3, 3, -5, 1, 1, 6, -2, -5, 1}. In this example the maximum sum is 9.</p><p>Can you help Mostafa solve this problem?</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>m</i></span>, <span class=\"tex-span\"><i>n</i></span> is the number of the small arrays (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 50</span>), and <span class=\"tex-span\"><i>m</i></span> is the number of indexes in the big array (<span class=\"tex-span\">1 ≤ <i>m</i> ≤ 250000</span>). Then follow <span class=\"tex-span\"><i>n</i></span> lines, the <span class=\"tex-span\"><i>i</i></span>-th line starts with one integer <span class=\"tex-span\"><i>l</i></span> which is the size of the <span class=\"tex-span\"><i>i</i></span>-th array (<span class=\"tex-span\">1 ≤ <i>l</i> ≤ 5000</span>), followed by <span class=\"tex-span\"><i>l</i></span> integers each one will be greater than or equal -1000 and less than or equal 1000. The last line contains <span class=\"tex-span\"><i>m</i></span> integers which are the indexes in the big array, and you should concatenate the small arrays in the same order, and each index will be greater than or equal to 1 and less than or equal to <span class=\"tex-span\"><i>n</i></span>.</p><p>The small arrays are numbered from 1 to <span class=\"tex-span\"><i>n</i></span> in the same order as given in the input. Some of the given small arrays may not be used in big array.</p><p>Note, that the array is very big. So if you try to build it straightforwardly, you will probably get time or/and memory limit exceeded.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print one line containing the maximum sum in the big array after formatting it as described above. You must choose at least one element for the sum, i. e. it cannot be empty.</p><p>Please, do not use <span class=\"tex-font-style-tt\">%lld</span> specificator to write 64-bit integers in C++. It is preferred to use <span class=\"tex-font-style-tt\">cout</span> (also you may use <span class=\"tex-font-style-tt\">%I64d</span>).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 4<br />3 1 6 -2<br />2 3 3<br />2 -5 1<br />2 3 1 3<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>9<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>6 1<br />4 0 8 -3 -10<br />8 3 -2 -5 10 8 -9 -5 -4<br />1 0<br />1 -3<br />3 -8 5 6<br />2 9 6<br />1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>8<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=D]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = 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class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='1321d1a35aa6147cbfdbbcf6e0b61c0b'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/ahmed_aly\">ahmed_aly</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/ahmed_aly\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/ahmed_aly\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/ahmed_aly\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/ahmed_aly\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/ahmed_aly\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/ahmed_aly\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/ahmed_aly\" style=\"text-decoration:none;color:black !important;\">ahmed_aly's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1715\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1715\"> Codeforces Beta Round #67 (Div. 2) Editorial\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a>,\r\n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><b>Problem A:</b><br />In this problem you need to do what is written in the statement. You can do it in the following 3 steps:<br />1- Calculate C.<br />2- Remove all zeros from A, B and C.<br />3- Check if the new values form a correct equation.<br /><br /><a href=\"http://pastebin.com/1cc1xKNW\">C++ solution for problem A.</a><br /><br /><br /><b>Problem B:</b><br />This problem is a direct simulation to the rules written in the problem statement.<br />You need to iterate over all actions and parse each one to know the type of the action, and the 2 names X and Y, and if your name is X or Y then update your priority factor with this person with the action corresponding value. And take care about some special names like "post", "wall", "commented" and "on".<br />Then sort all names according to the sorting criteria mentioned in the statement.<br />Just make sure to print all names which are mentioned in the input (excluding yourself), even if the priority factor with you is 0.<br /><br /><a href=\"http://pastebin.com/cGHAv8qs\">C++ solution for problem B.</a><br /><br /><br /><b>Problem C:</b><br />In this problem you will need to generate all common divisors between a and b before answering any query.<br />The first step in this problem is to factorize a and b, you can use the trial division technique which runs in O(sqrt(N)), you can check getFactors function in my solutions.<br />Then using a recursive function you can generate all divisors for a and b from their prime factors, you can check getDivisors function in my solutions.<br />Then intersect the 2 sets of divisors for both to get all common divisors, you can do this in O(N+M) where N and M are the lengths of the 2 sets, and also you can do a trivial O(N*M) intersection algorithm, because the maximum number of divisors is not too big (it's 1344).<br />Now for each query you need to find the largest common divisor which lies in the given range, you can do this by sorting all common divisors and do binary search for the largest one which lies in the given range. Also you can do this using linear search, because the total number of queries is not too big.<br /><br />Also there is much shorter solution for this problem. Here is a hint for it, the GCD between a and b should be dividable by all common divisors of a and b.<br /><br /><a href=\"http://pastebin.com/zcEGkKhw\">C++ solution for problem C (with binary search).</a><br /><a href=\"http://pastebin.com/Uw4rG7Ar\">C++ solution for problem C (without binary search).</a><br /><a href=\"http://pastebin.com/Nd54H6em\">Java solution for problem C (with binary search).</a><br /><br /><br /><b>Problem D:</b><br />This problem is my favorite one in this problem set. Maybe it will be easier to solve this problem if you know how to solve the standard one.<br />But because we can't construct the big array, so we can't apply the standard solution for this problem.<br />Let's see first how to solve the standard problem, the following code solves it for a given array arr with length len:<br /><br />int mx = -(1 << 30);<br />int sum = 0;<br />for (int j = 0; j < len; j++) {<br /> mx = max(mx, arr[i]); // we need this for the case where all elements in the array are negatives<br /> sum += arr[i];<br /> if (sum < 0)<br /> sum = 0;<br /> else<br /> mx = max(mx, sum);<br />}<br /><br />Now let's solve the big array problem, the first step is to calculate 4 values for each small array:<br />1- The total sum of it, let's call it tot.<br />2- The maximum sum of 0 or more consecutive elements starting from the first element in the array, let's call it lft.<br />3- The maximum sum of 0 or more consecutive elements ending at the last element in the array, let's call it rght.<br />4- The maximum sum of 1 or more consecutive elements, let's call it gen.<br /><br />The final result will be 1 of 2 cases:<br />1- The consecutive elements with the maximum sum will start and end inside the same small array.<br />2- The consecutive elements with the maximum sum will start and end inside different small arrays.<br /><br />For the first case, we can simply pick the maximum gen for all small arrays which exist in the big array.<br />For the second case, we can apply something similar to the standard solution, we will keep a variable called sum, and it's initialized to 0, this will be the maximum sum of 0 or more consecutive elements ending at the last element in the previous small array. Now for each small array, if the maximum possible sum will end in this small array, so it will be sum+lft and maximize over this value (make sure this will be for 1 or more elements). And we need to update sum to be the maximum of the following 3 values:<br />1- sum+tot (we will include all elements of this small array to the old sum).<br />2- rght (we will take the maximum sum ending at the last element in the current small array).<br />3- 0 (we will not take any elements in sum).<br /><br />The running time for this solution will be just for reading the input, in my solutions I have no iterations except for reading the input.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/bsxvF4aC\">C++ solution for problem D.</a><br /><a href=\"http://pastebin.com/k1hzX5XD\">Java solution for problem D.</a><br /><br /><br /><b>Problem E:</b><br />The main idea for this problem is not hard, but maybe the hard part is implementing it.<br />First we need to know if the straight line segment between the source and destination points intersect with the island or not. So we will intersect this line segment with all the polygon sides. If there are 2 segments intersect in more than 1 point we will consider as they don't intersect, because it's mentioned in the problem statement that you can move on the island's edge and it will be considered in the sea.<br />Now we have a set of all distinct intersection points of the polygon and the straight line segment between the source and destination points. Because the polygon is convex, this set will contain at most 2 points. We have 3 different cases now:<br />1- This set contains less than 2 points.<br />2- This set contains 2 points and they are on the same polygon side.<br />3- This set contains 2 points and they are not on the same polygon side.<br /><br />In the first 2 cases the result will be simply the length of the straight line segment.<br />In the 3rd case you can do the following:<br />1- Move from the source point to the nearest point of the 2 intersection points.<br />2- You have 3 options here:<br /> a- Move inside the island to the other intersection point.<br /> b- Move in clockwise direction on the island's edge to the other intersection point.<br /> c- Move in anti-clockwise direction on the island's edge to the other intersection point.<br /> First option will be considered moving inside the island, and the other 2 options will be considered moving in the sea.<br /> You should pick the minimum one.<br />3- Move from the 2nd intersection point to the destination point.<br /><br />Another solution:<br />You can construct a graph where the nodes are the source point, the destination point, the intersection points and the polygon corner points. Then add an edge between any 2 points which you can move between them with the corresponding cost. Then run any shortest path algorithm, Floyd Warshall for example.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/7jgsu40r\">C++ solution for problem E.</a><br /><a href=\"http://pastebin.com/cZVCifwt\">C++ solution for problem E (with Floyd Warshall).</a></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/75\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 67 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-229-1715\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"229\",\n blogEntryId: \"1715\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2367\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #67</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+44</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/ahmed_aly\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/ahmed_aly\">\n ahmed_aly\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1715#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1715#comments\">\n 25\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1725\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (21)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32752\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/eik0u\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1231/avatar/7637a0d6900a713b.jpg'/> </a>\n <div><a href=\"/profile/eik0u\" title=\"Expert eik0u\" class=\"rated-user user-blue\">eik0u</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 22:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32752\" href=\"?#comment-32752\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32752\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"1231\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32752\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">D is also my favourite problem in this problem set :)<div>And the whole problem set is very nice. It is very diverse: easy implementation, math, dp/classic, geometry. And problems do not require extraodinary knowledge in algorithms.</div><div>This round was very suitable for Div2.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32752 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32752 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32752\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32770\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 23:43\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32770\" href=\"?#comment-32770\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32770\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32770\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent Tutorial's , several ways several code for each one , good luck <a class=\"rated-user user-orange\" href=\"../../profile/ahmed_aly\" title=\"Major ahmed_aly\">ahmed_aly</a></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32770 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32770 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32770\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32800\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32800\" href=\"?#comment-32800\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32800\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"4\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+4</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32800\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(In English)<div><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Very nice contest</span><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">B can be also solved using regexps</div></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\"><br /></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Also in Java we use List, Vector is deprecated ;)</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32800 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32800 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32800\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32801\" commentParentId=\"32800\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:56\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32801\" href=\"?#comment-32801\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32800\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"32801\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"32801\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32801\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Thanks, but I'm not very good Java coder. :)</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32801 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32801 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32801\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32844\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ACCEPT\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/ACCEPT\" title=\"Unrated, ACCEPT\" class=\"rated-user user-black\">ACCEPT</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 16:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32844\" href=\"?#comment-32844\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32844\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"14879\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32844\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">thank's for your nice contest and tutorial.<div>I have a question for problem E:</div><div>why your algo is correct?</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32844 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32844 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32844\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32913\" commentParentId=\"32844\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:46\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32913\" href=\"?#comment-32913\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32844\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32913\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32913\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Because you can only move to safe points, so you don't have any other choice.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32913 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32913 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32913\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32855\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/novkostya\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/novkostya\" title=\"Expert novkostya\" class=\"rated-user user-blue\">novkostya</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 18:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32855\" href=\"?#comment-32855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5985\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(C++ solution for problem C)<br />std::back_inserter(cd) seems to be more applicable than std::inserter(cd, cd.begin())</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32855\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32861\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:03\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32861\" href=\"?#comment-32861\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32861\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32861\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">The c++ code for problem A has integer overflow, since a and b can be up to 999999999, c=a+b cannot fit into 32-bit int. My solution had the same issue and got hacked.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32861 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32861 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32861\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32863\" commentParentId=\"32861\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:05\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32863\" href=\"?#comment-32863\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32861\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32863\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32863\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Actually 1999999998 fits into 32bit signed integer</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32863 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32863 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32863\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32891\" commentParentId=\"32863\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 22:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32891\" href=\"?#comment-32891\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32863\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32891\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32891\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">That's right. Just realized that my overflow is due to 8999999991, the reverse of 1999999998.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32891 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32891 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32891\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32868\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32868\" href=\"?#comment-32868\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32868\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32868\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">what does the instruction factor[name1] do?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32868 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32868 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32868\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32915\" commentParentId=\"32868\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:48\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32915\" href=\"?#comment-32915\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32868\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32915\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32915\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Just to make an entry for name1 in the map, and it will be 0. Because I have to print all names even if the factor is 0.<br />If there is no entry for name1, nothing will happen. If there is no entry, it will be the same as factor[name1] = 0.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32915 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32915 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32915\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32937\" commentParentId=\"32915\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 00:51\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32937\" href=\"?#comment-32937\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32915\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32937\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32937\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">interesting, I just did map.find()==map.end(), but this is much cooler.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32937 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32937 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32937\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32946\" commentParentId=\"32937\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/smilitude\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/68/avatar/e81e4a6fe0f7bdd8.jpg'/> </a>\n <div><a href=\"/profile/smilitude\" title=\"Expert smilitude\" class=\"rated-user user-blue\">smilitude</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32946\" href=\"?#comment-32946\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32937\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32946\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"68\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32946\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It's actually safer that way. If you search with if( map[ name1 ] ), every time you do the query, the size of the map increases by 1. Try this - <br /> <pre> \n map< int,int > one, two;\n for(int i=1;i<=100; i++) if( one[i] );\n for(int i=1;i<=100; i++) if( two.find(i) == two.end() );\n cout << one.size() << " " << two.size() << endl;\n</pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32946 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32946 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32946\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32948\" commentParentId=\"32946\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32948\" href=\"?#comment-32948\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32946\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32948\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32948\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In this problem it's the same, because I wanted to make an entry anyway if it doesn't exist.<br />I didn't write this statement as an if condition.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32948 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32948 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32948\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278325\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/shubhamgoyal__\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/shubhamgoyal__\" title=\"Candidate Master shubhamgoyal__\" class=\"rated-user user-violet\">shubhamgoyal__</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:17\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278325\" href=\"?#comment-278325\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278325\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"321533\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278325\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>great explanation for problem D!!!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278325 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278325 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278325\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278326\" commentParentId=\"278325\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/P_Nyagolov\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/239110/avatar/9494c230dc159315.jpg'/> </a>\n <div><a href=\"/profile/P_Nyagolov\" title=\"Expert P_Nyagolov\" class=\"rated-user user-blue\">P_Nyagolov</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:26\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278326\" href=\"?#comment-278326\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-278325\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278326\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"239110\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278326\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Seriously, guys, what's wrong with you?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278326 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278326 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278326\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599691\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Amr-Fahmy\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/858870/avatar/5c5b1d238b408975.jpg'/> </a>\n <div><a href=\"/profile/Amr-Fahmy\" title=\"Expert Amr-Fahmy\" class=\"rated-user user-blue\">Amr-Fahmy</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:21\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599691\" href=\"?#comment-599691\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599691\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"858870\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599691\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I am here after 9 years, The explanation of problem D is the best explanation i have ever read on codeforces ! Thank you</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599691 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599691 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599691\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599695\" commentParentId=\"599691\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:45\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599695\" href=\"?#comment-599695\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-599691\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599695\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599695\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Thanks!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599695 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599695 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599695\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612647\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/hereForFun\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/695688/avatar/5e5b50c23f422942.jpg'/> </a>\n <div><a href=\"/profile/hereForFun\" title=\"Pupil hereForFun\" class=\"rated-user user-green\">hereForFun</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:06\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612647\" href=\"?#comment-612647\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612647\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"695688\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612647\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hello! I am here from the a2oj ladder. I received a WA on test case 14 in problem A. When I checked the test case and ran it locally, it is giving the correct answer. Why is the output different here? <a href=\"https://codeforces.com/contest/75/submission/78440577\">https://codeforces.com/contest/75/submission/78440577</a> Here is my submission.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612647 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612647 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612647\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612658\" commentParentId=\"612647\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/qpwoeirut\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1165565/avatar/71d9b6b641fb567b.jpg'/> </a>\n <div><a href=\"/profile/qpwoeirut\" title=\"Candidate Master qpwoeirut\" class=\"rated-user user-violet\">qpwoeirut</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:56\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612658\" href=\"?#comment-612658\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-612647\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612658\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1165565\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612658\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>It looks like you're getting overflow from <code>(digit*pow(10,nonZero))</code>. This can be fixed by using a running place multiplier instead of <code>pow</code>.</p><p>See <a href=\"/contest/75/submission/78443731\" title=\"Submission 78443731 by qpwoeirut\">78443731</a> for an accepted version of your code with that change.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612658 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612658 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612658\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1725\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":379,"cells":{"problem_id":{"kind":"string","value":"75E"},"contest":{"kind":"string","value":"75"},"problem":{"kind":"string","value":"E"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"E. Ship's Shortest Path"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Ship's Shortest Path</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>You have got a new job, and it's very interesting, you are a ship captain. Your first task is to move your ship from one point to another point, and for sure you want to move it at the minimum cost.</p><p>And it's well known that the shortest distance between any 2 points is the length of the line segment between these 2 points. But unfortunately there is an island in the sea, so sometimes you won't be able to move your ship in the line segment between the 2 points.</p><p>You can <span class=\"tex-font-style-bf\">only</span> move to safe points. A point is called safe if it's on the line segment between the start and end points, or if it's on the island's edge.</p><p>But you are too lucky, you have got some clever and strong workers and they can help you in your trip, they can help you move the ship in the sea and they will take 1 Egyptian pound for each moving unit in the sea, and they can carry the ship (yes, they are very strong) and walk on the island and they will take 2 Egyptian pounds for each moving unit in the island. The money which you will give to them will be divided between all workers, so the number of workers does not matter here.</p><p>You can move your ship on the island edge, and it will be considered moving in the sea.</p><p>Now you have a sea map, and you have to decide what is the minimum cost for your trip.</p><p>Your starting point is (<span class=\"tex-span\"><i>xStart</i></span>, <span class=\"tex-span\"><i>yStart</i></span>), and the end point is (<span class=\"tex-span\"><i>xEnd</i></span>, <span class=\"tex-span\"><i>yEnd</i></span>), both points will be different.</p><p>The island will be a convex polygon and there will be no more than 2 polygon points on the same line, also the starting and the end points won't be inside or on the boundary of the island. The points for the polygon will be given in the anti-clockwise order.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains 4 integers, <span class=\"tex-span\"><i>xStart</i></span>, <span class=\"tex-span\"><i>yStart</i></span>, <span class=\"tex-span\"><i>xEnd</i></span> and <span class=\"tex-span\"><i>yEnd</i></span> (<span class=\"tex-span\"> - 100 ≤ <i>xStart</i>, <i>yStart</i>, <i>xEnd</i>, <i>yEnd</i> ≤ 100</span>). The second line contains an integer <span class=\"tex-span\"><i>n</i></span>, which is the number of points in the polygon (<span class=\"tex-span\">3 ≤ <i>n</i> ≤ 30</span>), followed by a line containing <span class=\"tex-span\"><i>n</i></span> pairs of integers <span class=\"tex-span\"><i>x</i></span> and <span class=\"tex-span\"><i>y</i></span>, which are the coordinates of the points (<span class=\"tex-span\"> - 100 ≤ <i>x</i>, <i>y</i> ≤ 100</span>), the polygon points will be distinct.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print one line which contains the minimum possible cost. The absolute or relative error in the answer should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\"> - 6</sup></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>1 7 6 7<br/>4<br/>4 2 4 12 3 12 3 2<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>6.000000000<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>-1 0 2 0<br/>4<br/>0 0 1 0 1 1 0 1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3.000000000<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"e41c0708538a0782638f3449cabcdf14\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - E - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"95cf41988c07fa21d41dc2c0e28e84705feefd57\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - E - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"E\" data-uuid=\"ps_3365d70ba65a3101d874fed5ec72bccc6c7394e0\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Ship's Shortest Path</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>You have got a new job, and it's very interesting, you are a ship captain. Your first task is to move your ship from one point to another point, and for sure you want to move it at the minimum cost.</p><p>And it's well known that the shortest distance between any 2 points is the length of the line segment between these 2 points. But unfortunately there is an island in the sea, so sometimes you won't be able to move your ship in the line segment between the 2 points.</p><p>You can <span class=\"tex-font-style-bf\">only</span> move to safe points. A point is called safe if it's on the line segment between the start and end points, or if it's on the island's edge.</p><p>But you are too lucky, you have got some clever and strong workers and they can help you in your trip, they can help you move the ship in the sea and they will take 1 Egyptian pound for each moving unit in the sea, and they can carry the ship (yes, they are very strong) and walk on the island and they will take 2 Egyptian pounds for each moving unit in the island. The money which you will give to them will be divided between all workers, so the number of workers does not matter here.</p><p>You can move your ship on the island edge, and it will be considered moving in the sea.</p><p>Now you have a sea map, and you have to decide what is the minimum cost for your trip.</p><p>Your starting point is (<span class=\"tex-span\"><i>xStart</i></span>, <span class=\"tex-span\"><i>yStart</i></span>), and the end point is (<span class=\"tex-span\"><i>xEnd</i></span>, <span class=\"tex-span\"><i>yEnd</i></span>), both points will be different.</p><p>The island will be a convex polygon and there will be no more than 2 polygon points on the same line, also the starting and the end points won't be inside or on the boundary of the island. The points for the polygon will be given in the anti-clockwise order.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains 4 integers, <span class=\"tex-span\"><i>xStart</i></span>, <span class=\"tex-span\"><i>yStart</i></span>, <span class=\"tex-span\"><i>xEnd</i></span> and <span class=\"tex-span\"><i>yEnd</i></span> (<span class=\"tex-span\"> - 100 ≤ <i>xStart</i>, <i>yStart</i>, <i>xEnd</i>, <i>yEnd</i> ≤ 100</span>). The second line contains an integer <span class=\"tex-span\"><i>n</i></span>, which is the number of points in the polygon (<span class=\"tex-span\">3 ≤ <i>n</i> ≤ 30</span>), followed by a line containing <span class=\"tex-span\"><i>n</i></span> pairs of integers <span class=\"tex-span\"><i>x</i></span> and <span class=\"tex-span\"><i>y</i></span>, which are the coordinates of the points (<span class=\"tex-span\"> - 100 ≤ <i>x</i>, <i>y</i> ≤ 100</span>), the polygon points will be distinct.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print one line which contains the minimum possible cost. The absolute or relative error in the answer should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\"> - 6</sup></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>1 7 6 7<br />4<br />4 2 4 12 3 12 3 2<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>6.000000000<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>-1 0 2 0<br />4<br />0 0 1 0 1 1 0 1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3.000000000<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=E]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:31</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='1321d1a35aa6147cbfdbbcf6e0b61c0b'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n 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Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div 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class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New 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title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/ahmed_aly\">ahmed_aly</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/ahmed_aly\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/ahmed_aly\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/ahmed_aly\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/ahmed_aly\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/ahmed_aly\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/ahmed_aly\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/ahmed_aly\" style=\"text-decoration:none;color:black !important;\">ahmed_aly's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1715\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1715\"> Codeforces Beta Round #67 (Div. 2) Editorial\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a>,\r\n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><b>Problem A:</b><br />In this problem you need to do what is written in the statement. You can do it in the following 3 steps:<br />1- Calculate C.<br />2- Remove all zeros from A, B and C.<br />3- Check if the new values form a correct equation.<br /><br /><a href=\"http://pastebin.com/1cc1xKNW\">C++ solution for problem A.</a><br /><br /><br /><b>Problem B:</b><br />This problem is a direct simulation to the rules written in the problem statement.<br />You need to iterate over all actions and parse each one to know the type of the action, and the 2 names X and Y, and if your name is X or Y then update your priority factor with this person with the action corresponding value. And take care about some special names like "post", "wall", "commented" and "on".<br />Then sort all names according to the sorting criteria mentioned in the statement.<br />Just make sure to print all names which are mentioned in the input (excluding yourself), even if the priority factor with you is 0.<br /><br /><a href=\"http://pastebin.com/cGHAv8qs\">C++ solution for problem B.</a><br /><br /><br /><b>Problem C:</b><br />In this problem you will need to generate all common divisors between a and b before answering any query.<br />The first step in this problem is to factorize a and b, you can use the trial division technique which runs in O(sqrt(N)), you can check getFactors function in my solutions.<br />Then using a recursive function you can generate all divisors for a and b from their prime factors, you can check getDivisors function in my solutions.<br />Then intersect the 2 sets of divisors for both to get all common divisors, you can do this in O(N+M) where N and M are the lengths of the 2 sets, and also you can do a trivial O(N*M) intersection algorithm, because the maximum number of divisors is not too big (it's 1344).<br />Now for each query you need to find the largest common divisor which lies in the given range, you can do this by sorting all common divisors and do binary search for the largest one which lies in the given range. Also you can do this using linear search, because the total number of queries is not too big.<br /><br />Also there is much shorter solution for this problem. Here is a hint for it, the GCD between a and b should be dividable by all common divisors of a and b.<br /><br /><a href=\"http://pastebin.com/zcEGkKhw\">C++ solution for problem C (with binary search).</a><br /><a href=\"http://pastebin.com/Uw4rG7Ar\">C++ solution for problem C (without binary search).</a><br /><a href=\"http://pastebin.com/Nd54H6em\">Java solution for problem C (with binary search).</a><br /><br /><br /><b>Problem D:</b><br />This problem is my favorite one in this problem set. Maybe it will be easier to solve this problem if you know how to solve the standard one.<br />But because we can't construct the big array, so we can't apply the standard solution for this problem.<br />Let's see first how to solve the standard problem, the following code solves it for a given array arr with length len:<br /><br />int mx = -(1 << 30);<br />int sum = 0;<br />for (int j = 0; j < len; j++) {<br /> mx = max(mx, arr[i]); // we need this for the case where all elements in the array are negatives<br /> sum += arr[i];<br /> if (sum < 0)<br /> sum = 0;<br /> else<br /> mx = max(mx, sum);<br />}<br /><br />Now let's solve the big array problem, the first step is to calculate 4 values for each small array:<br />1- The total sum of it, let's call it tot.<br />2- The maximum sum of 0 or more consecutive elements starting from the first element in the array, let's call it lft.<br />3- The maximum sum of 0 or more consecutive elements ending at the last element in the array, let's call it rght.<br />4- The maximum sum of 1 or more consecutive elements, let's call it gen.<br /><br />The final result will be 1 of 2 cases:<br />1- The consecutive elements with the maximum sum will start and end inside the same small array.<br />2- The consecutive elements with the maximum sum will start and end inside different small arrays.<br /><br />For the first case, we can simply pick the maximum gen for all small arrays which exist in the big array.<br />For the second case, we can apply something similar to the standard solution, we will keep a variable called sum, and it's initialized to 0, this will be the maximum sum of 0 or more consecutive elements ending at the last element in the previous small array. Now for each small array, if the maximum possible sum will end in this small array, so it will be sum+lft and maximize over this value (make sure this will be for 1 or more elements). And we need to update sum to be the maximum of the following 3 values:<br />1- sum+tot (we will include all elements of this small array to the old sum).<br />2- rght (we will take the maximum sum ending at the last element in the current small array).<br />3- 0 (we will not take any elements in sum).<br /><br />The running time for this solution will be just for reading the input, in my solutions I have no iterations except for reading the input.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/bsxvF4aC\">C++ solution for problem D.</a><br /><a href=\"http://pastebin.com/k1hzX5XD\">Java solution for problem D.</a><br /><br /><br /><b>Problem E:</b><br />The main idea for this problem is not hard, but maybe the hard part is implementing it.<br />First we need to know if the straight line segment between the source and destination points intersect with the island or not. So we will intersect this line segment with all the polygon sides. If there are 2 segments intersect in more than 1 point we will consider as they don't intersect, because it's mentioned in the problem statement that you can move on the island's edge and it will be considered in the sea.<br />Now we have a set of all distinct intersection points of the polygon and the straight line segment between the source and destination points. Because the polygon is convex, this set will contain at most 2 points. We have 3 different cases now:<br />1- This set contains less than 2 points.<br />2- This set contains 2 points and they are on the same polygon side.<br />3- This set contains 2 points and they are not on the same polygon side.<br /><br />In the first 2 cases the result will be simply the length of the straight line segment.<br />In the 3rd case you can do the following:<br />1- Move from the source point to the nearest point of the 2 intersection points.<br />2- You have 3 options here:<br /> a- Move inside the island to the other intersection point.<br /> b- Move in clockwise direction on the island's edge to the other intersection point.<br /> c- Move in anti-clockwise direction on the island's edge to the other intersection point.<br /> First option will be considered moving inside the island, and the other 2 options will be considered moving in the sea.<br /> You should pick the minimum one.<br />3- Move from the 2nd intersection point to the destination point.<br /><br />Another solution:<br />You can construct a graph where the nodes are the source point, the destination point, the intersection points and the polygon corner points. Then add an edge between any 2 points which you can move between them with the corresponding cost. Then run any shortest path algorithm, Floyd Warshall for example.<br /><br />You can check my solutions for more clarification.<br /><br /><a href=\"http://pastebin.com/7jgsu40r\">C++ solution for problem E.</a><br /><a href=\"http://pastebin.com/cZVCifwt\">C++ solution for problem E (with Floyd Warshall).</a></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/75\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 67 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-229-1715\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"229\",\n blogEntryId: \"1715\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces+round+%2367\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces round #67</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+44</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1715\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/ahmed_aly\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/ahmed_aly\">\n ahmed_aly\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/13/2011 21:46\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1715#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1715#comments\">\n 25\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1725\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (21)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32752\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/eik0u\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1231/avatar/7637a0d6900a713b.jpg'/> </a>\n <div><a href=\"/profile/eik0u\" title=\"Expert eik0u\" class=\"rated-user user-blue\">eik0u</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 22:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32752\" href=\"?#comment-32752\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32752\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"1231\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32752\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">D is also my favourite problem in this problem set :)<div>And the whole problem set is very nice. It is very diverse: easy implementation, math, dp/classic, geometry. And problems do not require extraodinary knowledge in algorithms.</div><div>This round was very suitable for Div2.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32752 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32752 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32752\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32770\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/13/2011 23:43\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32770\" href=\"?#comment-32770\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32770\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32770\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent Tutorial's , several ways several code for each one , good luck <a class=\"rated-user user-orange\" href=\"../../profile/ahmed_aly\" title=\"Major ahmed_aly\">ahmed_aly</a></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32770 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32770 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32770\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32800\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32800\" href=\"?#comment-32800\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32800\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"4\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+4</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32800\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(In English)<div><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Very nice contest</span><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">B can be also solved using regexps</div></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\"><br /></div><div style=\"margin-top: 0.0px;margin-right: 0.0px;margin-bottom: 0.0px;margin-left: 0.0px;padding-top: 0.0px;padding-right: 0.0px;padding-bottom: 0.0px;padding-left: 0.0px;border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 14.0px;\">Also in Java we use List, Vector is deprecated ;)</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32800 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32800 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32800\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32801\" commentParentId=\"32800\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 01:56\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32801\" href=\"?#comment-32801\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32800\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"32801\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"32801\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32801\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Thanks, but I'm not very good Java coder. :)</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32801 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32801 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32801\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32844\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ACCEPT\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/ACCEPT\" title=\"Unrated, ACCEPT\" class=\"rated-user user-black\">ACCEPT</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 16:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32844\" href=\"?#comment-32844\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32844\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"14879\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32844\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">thank's for your nice contest and tutorial.<div>I have a question for problem E:</div><div>why your algo is correct?</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32844 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32844 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32844\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32913\" commentParentId=\"32844\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:46\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32913\" href=\"?#comment-32913\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32844\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32913\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32913\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Because you can only move to safe points, so you don't have any other choice.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32913 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32913 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32913\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32855\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/novkostya\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/novkostya\" title=\"Expert novkostya\" class=\"rated-user user-blue\">novkostya</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 18:30\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32855\" href=\"?#comment-32855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5985\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">(C++ solution for problem C)<br />std::back_inserter(cd) seems to be more applicable than std::inserter(cd, cd.begin())</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32855\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32861\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:03\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32861\" href=\"?#comment-32861\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32861\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32861\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">The c++ code for problem A has integer overflow, since a and b can be up to 999999999, c=a+b cannot fit into 32-bit int. My solution had the same issue and got hacked.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32861 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32861 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32861\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32863\" commentParentId=\"32861\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Egor\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/838/avatar/6976bef0cdef7d5c.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/Egor\" title=\"International Grandmaster Egor\" class=\"rated-user user-red\">Egor</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:05\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32863\" href=\"?#comment-32863\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32861\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32863\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"838\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32863\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Actually 1999999998 fits into 32bit signed integer</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32863 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32863 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32863\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32891\" commentParentId=\"32863\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lantimilan\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lantimilan\" title=\"Expert lantimilan\" class=\"rated-user user-blue\">lantimilan</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 22:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32891\" href=\"?#comment-32891\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32863\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32891\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15561\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32891\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">That's right. Just realized that my overflow is due to 8999999991, the reverse of 1999999998.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32891 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32891 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32891\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32868\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 21:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32868\" href=\"?#comment-32868\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32868\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32868\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">what does the instruction factor[name1] do?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32868 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32868 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32868\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32915\" commentParentId=\"32868\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/14/2011 23:48\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32915\" href=\"?#comment-32915\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32868\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32915\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32915\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Just to make an entry for name1 in the map, and it will be 0. Because I have to print all names even if the factor is 0.<br />If there is no entry for name1, nothing will happen. If there is no entry, it will be the same as factor[name1] = 0.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32915 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32915 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32915\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32937\" commentParentId=\"32915\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 00:51\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32937\" href=\"?#comment-32937\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32915\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32937\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32937\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">interesting, I just did map.find()==map.end(), but this is much cooler.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32937 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32937 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32937\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32946\" commentParentId=\"32937\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/smilitude\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/68/avatar/e81e4a6fe0f7bdd8.jpg'/> </a>\n <div><a href=\"/profile/smilitude\" title=\"Expert smilitude\" class=\"rated-user user-blue\">smilitude</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32946\" href=\"?#comment-32946\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32937\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32946\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"68\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32946\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It's actually safer that way. If you search with if( map[ name1 ] ), every time you do the query, the size of the map increases by 1. Try this - <br /> <pre> \n map< int,int > one, two;\n for(int i=1;i<=100; i++) if( one[i] );\n for(int i=1;i<=100; i++) if( two.find(i) == two.end() );\n cout << one.size() << " " << two.size() << endl;\n</pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32946 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32946 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32946\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32948\" commentParentId=\"32946\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 02:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32948\" href=\"?#comment-32948\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-32946\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32948\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32948\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">In this problem it's the same, because I wanted to make an entry anyway if it doesn't exist.<br />I didn't write this statement as an if condition.</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32948 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32948 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32948\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278325\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/shubhamgoyal__\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/shubhamgoyal__\" title=\"Candidate Master shubhamgoyal__\" class=\"rated-user user-violet\">shubhamgoyal__</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:17\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278325\" href=\"?#comment-278325\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278325\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"321533\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278325\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>great explanation for problem D!!!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278325 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278325 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278325\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"278326\" commentParentId=\"278325\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/P_Nyagolov\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/239110/avatar/9494c230dc159315.jpg'/> </a>\n <div><a href=\"/profile/P_Nyagolov\" title=\"Expert P_Nyagolov\" class=\"rated-user user-blue\">P_Nyagolov</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/13/2016 17:26\">8 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-278326\" href=\"?#comment-278326\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-278325\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"278326\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"239110\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-278326\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Seriously, guys, what's wrong with you?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-278326 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-278326 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-278326\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599691\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Amr-Fahmy\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/858870/avatar/5c5b1d238b408975.jpg'/> </a>\n <div><a href=\"/profile/Amr-Fahmy\" title=\"Expert Amr-Fahmy\" class=\"rated-user user-blue\">Amr-Fahmy</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:21\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599691\" href=\"?#comment-599691\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599691\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"858870\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599691\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I am here after 9 years, The explanation of problem D is the best explanation i have ever read on codeforces ! Thank you</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599691 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599691 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599691\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"599695\" commentParentId=\"599691\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/ahmed_aly\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/539/avatar/520d78429a76e908.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/ahmed_aly\" title=\"Expert ahmed_aly\" class=\"rated-user user-blue\">ahmed_aly</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/09/2020 07:45\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-599695\" href=\"?#comment-599695\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-599691\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"599695\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"539\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-599695\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Thanks!</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-599695 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-599695 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-599695\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612647\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/hereForFun\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/695688/avatar/5e5b50c23f422942.jpg'/> </a>\n <div><a href=\"/profile/hereForFun\" title=\"Pupil hereForFun\" class=\"rated-user user-green\">hereForFun</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:06\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612647\" href=\"?#comment-612647\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612647\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"695688\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612647\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hello! I am here from the a2oj ladder. I received a WA on test case 14 in problem A. When I checked the test case and ran it locally, it is giving the correct answer. Why is the output different here? <a href=\"https://codeforces.com/contest/75/submission/78440577\">https://codeforces.com/contest/75/submission/78440577</a> Here is my submission.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612647 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612647 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612647\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"612658\" commentParentId=\"612647\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/qpwoeirut\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1165565/avatar/71d9b6b641fb567b.jpg'/> </a>\n <div><a href=\"/profile/qpwoeirut\" title=\"Candidate Master qpwoeirut\" class=\"rated-user user-violet\">qpwoeirut</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/29/2020 08:56\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-612658\" href=\"?#comment-612658\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-612647\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"612658\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1165565\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-612658\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>It looks like you're getting overflow from <code>(digit*pow(10,nonZero))</code>. This can be fixed by using a running place multiplier instead of <code>pow</code>.</p><p>See <a href=\"/contest/75/submission/78443731\" title=\"Submission 78443731 by qpwoeirut\">78443731</a> for an accepted version of your code with that change.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-612658 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-612658 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-612658\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1725\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":380,"cells":{"problem_id":{"kind":"string","value":"76A"},"contest":{"kind":"string","value":"76"},"problem":{"kind":"string","value":"A"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"A. Gift"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Gift</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>The kingdom of Olympia consists of <span class=\"tex-span\"><i>N</i></span> cities and <span class=\"tex-span\"><i>M</i></span> bidirectional roads. Each road connects exactly two cities and two cities can be connected with more than one road. Also it possible that some roads connect city with itself making a loop.</p><p>All roads are constantly plundered with bandits. After a while bandits became bored of wasting time in road robberies, so they suggested the king of Olympia to pay off. According to the offer, bandits want to get a gift consisted of gold and silver coins. Offer also contains a list of restrictions: for each road it is known <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span> — the smallest amount of gold and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span> — the smallest amount of silver coins that should be in the gift to stop robberies on the road. That is, if the gift contains <span class=\"tex-span\"><i>a</i></span> gold and <span class=\"tex-span\"><i>b</i></span> silver coins, then bandits will stop robberies on all the roads that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>a</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>b</i></span>.</p><p>Unfortunately kingdom treasury doesn't contain neither gold nor silver coins, but there are Olympian tugriks in it. The cost of one gold coin in tugriks is <span class=\"tex-span\"><i>G</i></span>, and the cost of one silver coin in tugriks is <span class=\"tex-span\"><i>S</i></span>. King really wants to send bandits such gift that for any two cities there will exist a safe path between them. Your task is to find the minimal cost in Olympian tugriks of the required gift.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of the input contains two integers <span class=\"tex-span\"><i>N</i></span> and <span class=\"tex-span\"><i>M</i></span> (<span class=\"tex-span\">2 ≤ <i>N</i> ≤ 200</span>, <span class=\"tex-span\">1 ≤ <i>M</i> ≤ 50 000</span>) — the number of cities and the number of roads, respectively. The second line contains two integers <span class=\"tex-span\"><i>G</i></span> and <span class=\"tex-span\"><i>S</i></span> (<span class=\"tex-span\">1 ≤ <i>G</i>, <i>S</i> ≤ 10<sup class=\"upper-index\">9</sup></span>) — the prices of gold and silver coins in tugriks. The following <span class=\"tex-span\"><i>M</i></span> lines contain information about the offer. Each of the records in list is given as four integers <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>y</i><sub class=\"lower-index\"><i>i</i></sub>, <i>g</i><sub class=\"lower-index\"><i>i</i></sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>, where <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>y</i><sub class=\"lower-index\"><i>i</i></sub></span> are the numbers of cities that the road connects and <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>, <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span> are minimal gold and silver coins requirements for the <span class=\"tex-span\"><i>i</i></span>-th road (<span class=\"tex-span\">1 ≤ <i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>y</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>N</i></span>, <span class=\"tex-span\">1 ≤ <i>g</i><sub class=\"lower-index\"><i>i</i></sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">9</sup></span>). Cities are numbered from <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>N</i></span>. It is possible that there are more than one road between a pair of cities. It is possible that a road connects the city with itself.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The output should contain the minimal cost of the gift in Olympian tugriks. If there is no gift that satisfies the given requirements output <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/32b60774ba82efe4c54c149a4e105457250b9e70.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 3<br/>2 1<br/>1 2 10 15<br/>1 2 4 20<br/>1 3 5 1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>30<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"d609848c6ecf2046dcbb65ddd970a9e2\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - A - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"082aec557c4be1a19e98b0bfc72b3335be5aa92b\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - A - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/76\">All-Ukrainian School Olympiad in Informatics</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/76/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Disjoint set union\">\r\n dsu\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Graphs\">\r\n graphs\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Sortings, orderings\">\r\n sortings\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Trees\">\r\n trees\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *2200\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='d609848c6ecf2046dcbb65ddd970a9e2'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"391\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='d609848c6ecf2046dcbb65ddd970a9e2'/>\r\n <input name=\"action\" 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(!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"A\" data-uuid=\"ps_9e3fff0154ece47120783511db382ea80131ac40\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Gift</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>The kingdom of Olympia consists of <span class=\"tex-span\"><i>N</i></span> cities and <span class=\"tex-span\"><i>M</i></span> bidirectional roads. Each road connects exactly two cities and two cities can be connected with more than one road. Also it possible that some roads connect city with itself making a loop.</p><p>All roads are constantly plundered with bandits. After a while bandits became bored of wasting time in road robberies, so they suggested the king of Olympia to pay off. According to the offer, bandits want to get a gift consisted of gold and silver coins. Offer also contains a list of restrictions: for each road it is known <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span> — the smallest amount of gold and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span> — the smallest amount of silver coins that should be in the gift to stop robberies on the road. That is, if the gift contains <span class=\"tex-span\"><i>a</i></span> gold and <span class=\"tex-span\"><i>b</i></span> silver coins, then bandits will stop robberies on all the roads that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>a</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>b</i></span>.</p><p>Unfortunately kingdom treasury doesn't contain neither gold nor silver coins, but there are Olympian tugriks in it. The cost of one gold coin in tugriks is <span class=\"tex-span\"><i>G</i></span>, and the cost of one silver coin in tugriks is <span class=\"tex-span\"><i>S</i></span>. King really wants to send bandits such gift that for any two cities there will exist a safe path between them. Your task is to find the minimal cost in Olympian tugriks of the required gift.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of the input contains two integers <span class=\"tex-span\"><i>N</i></span> and <span class=\"tex-span\"><i>M</i></span> (<span class=\"tex-span\">2 ≤ <i>N</i> ≤ 200</span>, <span class=\"tex-span\">1 ≤ <i>M</i> ≤ 50 000</span>) — the number of cities and the number of roads, respectively. The second line contains two integers <span class=\"tex-span\"><i>G</i></span> and <span class=\"tex-span\"><i>S</i></span> (<span class=\"tex-span\">1 ≤ <i>G</i>, <i>S</i> ≤ 10<sup class=\"upper-index\">9</sup></span>) — the prices of gold and silver coins in tugriks. The following <span class=\"tex-span\"><i>M</i></span> lines contain information about the offer. Each of the records in list is given as four integers <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>y</i><sub class=\"lower-index\"><i>i</i></sub>, <i>g</i><sub class=\"lower-index\"><i>i</i></sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>, where <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>y</i><sub class=\"lower-index\"><i>i</i></sub></span> are the numbers of cities that the road connects and <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>, <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span> are minimal gold and silver coins requirements for the <span class=\"tex-span\"><i>i</i></span>-th road (<span class=\"tex-span\">1 ≤ <i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>y</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>N</i></span>, <span class=\"tex-span\">1 ≤ <i>g</i><sub class=\"lower-index\"><i>i</i></sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">9</sup></span>). Cities are numbered from <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>N</i></span>. It is possible that there are more than one road between a pair of cities. It is possible that a road connects the city with itself.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The output should contain the minimal cost of the gift in Olympian tugriks. If there is no gift that satisfies the given requirements output <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/32b60774ba82efe4c54c149a4e105457250b9e70.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 3<br />2 1<br />1 2 10 15<br />1 2 4 20<br />1 3 5 1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>30<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=A]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== 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class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='558ab1a7f09bc5c6200b881abd515673'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/KADR\">KADR</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/KADR\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/KADR\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/KADR\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/KADR\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/KADR\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/KADR\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/KADR\" style=\"text-decoration:none;color:black !important;\">KADR's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1712\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1712\"> All-Ukrainian School Olympiad in Informatics: editorial (A,B,C,D,E,F)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a>,\r\n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div>The editorial is now completed.</div><div><br /></div><div><div><b>Problem A: Gift (Roman Iedemskyi)</b></div><div><br /></div><div>Suppose that the pair <span class=\"tex-span\">(<i>A</i>, <i>B</i>)</span> is an optimal solution, where <span class=\"tex-span\"><i>A</i></span> is the number of gold coins in a gift and <span class=\"tex-span\"><i>B</i></span> is a number of silver coins. It is easy to see that there exist two (probably equal) indexes <span class=\"tex-span\"><i>i</i></span> and <span class=\"tex-span\"><i>j</i></span> such that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> = <i>A</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>j</i></sub> = <i>B</i></span>. It is true, because in the other case we could decrease either <span class=\"tex-span\"><i>A</i></span> or <span class=\"tex-span\"><i>B</i></span> without changing connectivity of the graph.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> be the graph in which for all <span class=\"tex-span\"><i>i</i></span> the following statement holds: <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/f6a7810c1f985efe671bb157563fc069d097fbce.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> be the weighted graph in which for all edges <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>A</i></span>. For each edge <span class=\"tex-span\"><i>i</i></span> we will assign a weight equal to <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>. Let's find a spanning tree of this graph, which has the property that its maximal edge is minimal possible. It can be shown that for the fixed <span class=\"tex-span\"><i>A</i></span> the minimal value of <span class=\"tex-span\"><i>B</i></span> for which graph <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> is still connected is equal to the weight of the maximal edge in this spanning tree.</div><div><br /></div><div><i>Claim</i>. Minimal spanning tree of a graph has the property that its maximal edge is minimal possible among all spanning trees.</div><div><i>Proof</i>. Let <span class=\"tex-span\"><i>L</i></span> be the minimal spanning tree of a graph. Suppose there exists a spanning tree <span class=\"tex-span\"><i>P</i></span> in which all edges have smaller weight than the weight of the maximal edge of <span class=\"tex-span\"><i>L</i></span>. We can then remove the maximal edge from <span class=\"tex-span\"><i>L</i></span> and add some edge from <span class=\"tex-span\"><i>P</i></span> to it which will connect the graph back. After that <span class=\"tex-span\"><i>L</i></span> will have strictly smaller weight, which is impossible because it is a minimal spanning tree.</div><div><br /></div><div>Let's sort all edges of the graph in ascending order of <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>. Then the edges of graph <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> for the fixed <span class=\"tex-span\"><i>i</i></span> will be all edges with indexes <span class=\"tex-span\"><i>j</i> ≤ <i>i</i></span>.</div><div><br /></div><div>Suppose that for some value of <span class=\"tex-span\"><i>i</i></span> we have already found minimal spanning tree in every connected component of the graph <span class=\"tex-span\"><i>T</i>(<i>g</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Let's add an edge with index <span class=\"tex-span\"><i>i</i> + 1</span> into it. If it connects two different components, then after this operation they will be merged into one big component and it is obviously that the spanning tree we have in it is the minimal spanning tree. If <span class=\"tex-span\"><i>i</i> + 1</span>-th edge connects two vertices from the same connected component, then it will create exactly one cycle in the graph. We can find the maximal edge in this cycle and remove it from the graph. It can be proven that the remaining tree will be the minimal spanning tree of this connected component.</div><div><br /></div><div>We can perform the search of the maximal edge in a cycle as well as the insertion and removal of the edges in O(N). The total complexity is <span class=\"tex-span\"><i>O</i>(<i>NM</i> + <i>MlogM</i>)</span>.</div></div><div><br /></div><div><div><b>Problem B: Mice (Roman Rizvanov)</b></div><div><br /></div><div>It is easy to see that the number of closest pieces of cheese for each mouse is not greater than 2.</div><div><br /></div><div>Let's find the closest pieces of cheese for each mouse to the left and to the right from it. From two directions we will choose the one which gives us shorter way to cheese or both of them if their lengths are equal. If on the chosen way between the mouse and the cheese stands another mouse, then we should exclude this way from consideration, because another mouse will get to the cheese faster. Now all the directions lead to cheese and for each piece of cheese there is at most one mouse which can potentially eat it from each direction.</div><div><br /></div><div>We will process mice from left to right. If the current mouse can move left and the cheese to the left of it is not chosen by any other mouse or it is chosen by a mouse with the same distance to it, then the current mouse can move to the left and eat this piece of cheese without interfering with other mice. This choice will not affect any choices of the next mice, because only one mouse can go to this piece of cheese from the right (see previous paragraph). Thus, this choice can not decrease the answer. In all other cases the current mouse can not increase the answer by moving left, so it should move to the right if it has such opportunity.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(<i>N</i> + <i>M</i>)</span>.</div><div><br /></div><div>This problem can be also solved using dynamic programming.</div></div><div><br /></div><div><b>Problem C: Mutation (Iaroslav Tverdokhlib)</b></div><div><br /></div><div><div>In the editorial we will replace terms "risk", "genome" and "gene" with "cost", "string" and "character", respectively. Let <span class=\"tex-span\"><i>S</i></span> be the starting string.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>M</i></span> be the bitmask of chars which will be removed. Let's iterate over all possible values of <span class=\"tex-span\"><i>M</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we need to find a cost of the string, which remained after removal of <span class=\"tex-span\"><i>M</i></span> and if this cost doesn't exceed <span class=\"tex-span\"><i>T</i></span> we will increase the answer by 1. Naive implementation of this idea has the complexity <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>N</i>)</span>.</div><div><br /></div><div>We can not get rid of iterating over all <span class=\"tex-span\"><i>M</i></span>, so we will try to optimize a part of the algorithm which finds a cost of the remaining string.</div><div><br /></div><div>Let's take two indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> from the beginning string <span class=\"tex-span\"><i>l</i> < <i>r</i></span>. Let <span class=\"tex-span\"><i>M</i>'</span> be the bitmask of all characters which are located strictly between them. It is obviously that if <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7b04066e365590d0dc24c90dfc15aabd64c75339.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/3880b6b45cb2a0ccd5ea51b69f020c9e5a9f7fa1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string. Hence for the fixed <span class=\"tex-span\"><i>l</i></span> there are not more than <span class=\"tex-span\"><i>K</i></span> possible candidates for <span class=\"tex-span\"><i>r</i></span>, which means that there are <span class=\"tex-span\"><i>O</i>(<i>NK</i>)</span> pairs of such potential neighbours. We will call such pairs "good".</div><div><br /></div><div>We want to find out what form should have the set <span class=\"tex-span\"><i>M</i></span> that after its removal indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> became adjacent. It is easy to see that the following two conditions should be true:</div><div><br /></div><div>1. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/07de7c5bc68bc92d118ada183dab5d78f5c631c4.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div>2. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7fa1a37ebb11a92726d78e30e0ad17ffda729919.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Let's iterate over all good pairs of <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find the set <span class=\"tex-span\"><i>M</i>'</span>. For each triple <span class=\"tex-span\">(<i>a</i>, <i>b</i>, <i>P</i>)</span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>l</i></sub> = <i>a</i></span>, <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>r</i></sub> = <i>b</i></span>, <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. After that for the fixed <span class=\"tex-span\"><i>M</i></span> we will iterate over all pairs of characters <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> and its subsets <span class=\"tex-span\"><i>P</i></span> and add all their costs together. Also we need to add the cost of removal of <span class=\"tex-span\"><i>M</i></span> and the resulting sum will be the cost of the string which will left after removal of <span class=\"tex-span\"><i>M</i></span>. The complexity of such solution is <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> * <i>K</i><sup class=\"upper-index\">2</sup> + <i>NK</i>)</span>.</div><div><br /></div><div>We will optimize the previous solution by decreasing a factor near <span class=\"tex-span\">3<sup class=\"upper-index\"><i>K</i></sup></span>. Let's look at the following (incorrect) algorithm:</div><div><br /></div><div>We will iterate over all good pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find <span class=\"tex-span\"><i>M</i>'</span>. Let's create an array <span class=\"tex-span\"><i>v</i></span> in which for each mask <span class=\"tex-span\"><i>P</i></span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we will find a sum of all values from <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>M</i></span>, then add the cost of removal of <span class=\"tex-span\"><i>M</i></span> to it and the resulting sum will be the cost of the remaining string.</div><div><br /></div><div>This algorithm is incorrect, because some costs of neighborhood are added to the total cost, but in fact the respective <span class=\"tex-span\"><i>l</i></span> or <span class=\"tex-span\"><i>r</i></span> are removed. Let's use inclusion-exclusion principle and make the following at the phase of filling array <span class=\"tex-span\"><i>v</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>v</i>[<i>M</i>'] + = <i>cost</i></span></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4d392e8baa2755f671b67077d5ad638a2818e1c.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/0939a5ad00766ddcedb4465081c7dc8c63f0dd22.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/872ba326de38444a17ace78f749a43a3e1eff1d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>With such filling of <span class=\"tex-span\"><i>v</i></span> the algorithm described above is correct and the total complexity becomes <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> + <i>NK</i>)</span>.</div><div><br /></div><div>This is still not enough for the full solution, but we are almost there. We only need to find a fast way of finding the sum of the values of <span class=\"tex-span\"><i>v</i></span> for all submasks of all masks <span class=\"tex-span\"><i>M</i></span>. We will use the following iterative algorithm for this purpose:</div><div><br /></div><div>Before the first iteration we have an array <span class=\"tex-span\"><i>v</i></span> in which the starting values are stored. After iteration with number <span class=\"tex-span\"><i>i</i></span> in <span class=\"tex-span\"><i>v</i>[<i>mask</i>]</span> we will store the sum of all the values from the original array <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>mask</i></span> for which the first <span class=\"tex-span\"><i>K</i> - <i>i</i></span> bits are equal to the respective bits of <span class=\"tex-span\"><i>mask</i></span>. On iteration with number <span class=\"tex-span\"><i>i</i></span> for all masks in which the <span class=\"tex-span\"><i>i</i></span>-th bit is equal to 1 (bits are numbered from 1) we will perform the following: <span class=\"tex-span\"><i>v</i>[<i>mask</i>] + = <i>v</i>[<i>mask</i>\\{<i>i</i>}]</span>. It is easy to see that after the <span class=\"tex-span\"><i>K</i></span>-th iteration of this algorithm we will have the values we were looking for in array <span class=\"tex-span\"><i>v</i></span>.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>K</i> + <i>NK</i>)</span>.</div></div><div><br /></div><div><b>Problem D: Plus and XOR (Daniel Neiter)</b></div><div><br /></div><div>Let's take a look at some bit in X, which is equal to 1. If the respective bit in Y is equal to 0, then we can swap these two bits, thus reducing X and increasing Y without changing their sum and xor. We can conclude that if some bit in X is equal to 1 then the respective bit in Y is also equal to 1. Thus, <span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span>. Taking into account that <span class=\"tex-span\"><i>X</i> + <i>Y</i> = <i>X</i> + <i>X</i> + <i>B</i> = <i>A</i>, </span> we can obtain the following formulas for finding <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>X</i> = (<i>A</i> - <i>B</i>) / 2</span></div><div><span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span></div><div><div><br /></div><div>One should also notice that if <span class=\"tex-span\"><i>A</i> < <i>B</i></span> or <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have different parity, then the answer doesn't exist and we should output -1. If <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-span\"><i>and</i></span> <span class=\"tex-span\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span> then the answer is also -1.</div></div><div><br /></div><div><b>Problem E: Points (Daniel Neiter)</b></div><div><b><br /></b></div><div>Let's regroup summands and split the sum of squares of distances we are looking for into two sums:</div><div><b><br /></b></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/6e7ca6f50695e36ea199c3704ebb7574c4bfc029.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4a6a53d2cb6e9458620cc0b964c69f610df6601.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Now we need to rewrite each of these sums in the following way (it will be shown for the first sum):</div><div><br /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/ce7d437559ce56c7602146506aaec7f5b8f5920b.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/14de3bd836c0e823801f884a115983ff447988b5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>This formula allows us to find an answer in one pass through the array. The complexity is O(N).</div><div><br /></div><div><div><b>Problem F: Tourist (Ilya Porublyov)</b></div><div><br /></div><div>We can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if the following statements are true:</div><div><br /></div><div><ul><li><span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>t</i><sub class=\"lower-index\"><i>j</i></sub></span><br /></li><li><span class=\"tex-span\">|<i>x</i><sub class=\"lower-index\"><i>i</i></sub> - <i>x</i><sub class=\"lower-index\"><i>j</i></sub>| ≤ |<i>t</i><sub class=\"lower-index\"><i>i</i></sub> - <i>t</i><sub class=\"lower-index\"><i>j</i></sub>|· <i>V</i></span><br /></li></ul></div><div>We can represent all the events as points on a plane with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Now we can reformulate the two statements written above in the following way:<br /></div><div><br /></div><div>From the event <span class=\"tex-span\"><i>i</i></span> we can get to the event <span class=\"tex-span\"><i>j</i></span> if the point <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>j</i></sub>, <i>t</i><sub class=\"lower-index\"><i>j</i></sub>)</span> lise inside an angle pointed to the top with its vertex in <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> and its sides form an angle <span class=\"tex-span\"><i>arctg</i>(<i>V</i>)</span> with vertical axis. Let's make coordinate transformation according to which the point with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will transform into the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span>, where</div><div><span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> = - <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> = <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><br /></div><div>Now we can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> и <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. Let's sort all points in ascending order of <span class=\"tex-span\"><i>p</i></span>. If several points have the same <span class=\"tex-span\"><i>p</i></span> we will sort them by <span class=\"tex-span\"><i>q</i></span>. The second subproblem of our problem can be solved by finding a longest increasing subsequence by <span class=\"tex-span\"><i>q</i></span> in this array. It can be done in <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div><div><br /></div><div>To solve the first subproblem we can add dummy event with coordinate 0 and time 0 (if it is not present in our set of events yet) and force tourist's start from it.</div><div><br /></div><div>The total complexity if <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/76\" class=\"notice\" style=\"text-decoration: none;\">All-Ukrainian School Olympiad in Informatics</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-996-1712\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"996\",\n blogEntryId: \"1712\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=uoi2011\" class=\"tag notice\" style=\"text-decoration: none;\">uoi2011</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+30</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/KADR\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/KADR\">\n KADR\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1712#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1712#comments\">\n 24\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1722\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (22)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32624\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/wil93\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14356/avatar/897f1996dfb7343b.jpg'/> </a>\n <div><a href=\"/profile/wil93\" title=\"Expert wil93\" class=\"rated-user user-blue\">wil93</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/12/2011 23:20\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32624\" href=\"?#comment-32624\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32624\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"14356\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32624\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks very much, I think E's solution is genial. I understood it now, but it would be very difficult for me to come out with a similar thought :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32624 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32624 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32624\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33014\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 16:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33014\" href=\"?#comment-33014\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33014\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33014\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33014\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Hi,<br /><br />I would like to ask about problem F. Is there a particular reason why you sort by p first before you sort by q? If not, will sorting by q and then by p for tiebreak change the solution? If not, may I know if you can prove so? I can understand how you make the transformation and why the transformation is correct, but I am not convinced that you can get the optimal solution just by sorting and finding the LIS (Do you mean the longest non-decreasing subsequence? From what I understand, I think you first label the vertices according to the time when they appear. If they appear at the same time, then they have the same label.) Can you please give a proof or explanation why it works?<br /><br />Thanks in advance!</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33014 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33014 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33014\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33025\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33025\" href=\"?#comment-33025\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33025\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33025\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33025\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">If some two events have the same time then it is impossible to visit them both, so we are not interested in their relative order in the sorted array (after performing the transformation).<div><br /></div><div>After the transformation we can get from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> to the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>j</i></sub>, <i>q</i><sub class=\"lower-index\"><i>j</i></sub>)</span> iff <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> and <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. After performing the sorting described in the editorial all points reachable from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will have greater indexes in the array. This automatically means that the sequence will be non-decreasing by <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub></span>, so we only need to care about <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span>. The longest non-decreasing sequence by <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span> is the sequence we are looking for.</div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33025 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33025 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33025\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33026\" commentParentId=\"33025\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33026\" href=\"?#comment-33026\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33025\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33026\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33026\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Oh, that makes sense now. Thanks!</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33026 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33026 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33026\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503943\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 07:51\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503943\" href=\"?#comment-503943\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503943\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503943\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hi,</p><p><code>Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj. Let's sort all points in ascending order of p. If several points have the same p we will sort them by q.</code> Can you please explain it for me?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503943 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503943 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503943\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503965\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:02\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503965\" href=\"?#comment-503965\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503965\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503965\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>What do you want to be explained? Why "Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj."? Or what "If several points have the same p we will sort them by q." mean? Or what?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503965 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503965 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503965\">\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503976\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:48\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503976\" href=\"?#comment-503976\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503976\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503976\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p><a href=\"https://drive.google.com/file/d/1fwCssJgSTEJ5ic4AzHjhQBQnrypuQkYm/view?usp=sharing\">Here</a> is more detailed tutorial. It's in Ukrainian, but you can Google-translate it (result is poor, but some things are still correct) and look at figures and equations.</p><p>I CAN try to reply on more concrete questions, but I don't want to translate the whole text...</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503976 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503976 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503976\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503980\" commentParentId=\"503976\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 13:17\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503980\" href=\"?#comment-503980\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503976\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503980\" revisionCount=\"4\" revision=\"4\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">4</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503980\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503980\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Well, What are the significances of p, q axes and angle arctg(v)? What do they represent?</p><p>What I understand before, as I mentioned in another comment's reply was as below: to go to j from i: <code>abs(xj - xi) / tj - ti <= v</code> so, </p><p><code>xj + v*tj >= xi + ti*v</code> and <code>-xi + v*ti >= -xj + v*t</code> </p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503980 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503980 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503980\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503987\" commentParentId=\"503980\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 15:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503987\" href=\"?#comment-503987\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503980\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503987\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503987\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Axis $$$p$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${-}v$$$), i.e.maximal by absolute value and directed to left. Its positive ray is the left-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system. Similarly, $$$q$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${+}v$$$), i.e. maximal by absolute value and directed to right; its positive ray is the right-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system.</p><p>It's not very obvious to look at these axes... But, from other hand, it's not unnatural: we need some effective checking of where the tourist can get in time and where he cannot, so let's try: what, if we'll consider borders of the "reachable-in-time" area as coordinate axes?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503987 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503987 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503987\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503991\" commentParentId=\"503987\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 16:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503991\" href=\"?#comment-503991\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503987\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503991\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503991\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503991\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I hope this is my last query:</p><p>If tourist needs to go from i to j where xi > xj, that time the velocity is negative. Right? And, the velocity can not be positive and negative at a time,</p><p>But why do we check</p> <pre><code>pi < pj and qi < qj ?\n</code></pre><p>Why not </p> <pre><code>pi < pj or qi < qj?\n</code></pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503991 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503991 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503991\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"504027\" commentParentId=\"503991\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 22:22\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-504027\" href=\"?#comment-504027\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503991\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"504027\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-504027\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>The axis directed from bottom to top is $$$t$$$ (time). The tourist cannot travel in time as he wants and/or change time flow direction. All what he can is to choose </p> <ol> <li><p>whether to stay at place with zero velocity (= move in direction of $$$t$$$, which is exactly in the middle between positive direction of $$$p$$$ and positive direction of $$$q$$$);</p></li> <li><p>or to move with velocity ($$$-v$$$), negative and maximal by absolute value, which is exactly positive direction of $$$p$$$;</p></li> <li><p>or to move with velocity ($$$+v$$$), positive and maximal by absolute value, which is exactly positive direction of $$$q$$$;</p></li> <li><p>or to move with velocity $$$0<w<v$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is bigger that $$$p$$$-projection; in other words, $$$0<w<v$$$ corresponds to $$$0<p<q$$$;</p></li> <li><p>or to move with velocity $$$-v<w<0$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is smaller that $$$p$$$-projection; in other words, $$$-v<w<0$$$ corresponds to $$$0<q<p$$$;</p></li> </ol><p>Whereas $$$(q_i > q_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$-\\infty\\leq w < -v$$$, or even moving in reverse direction of time. Similarly, $$$(p_i > p_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$v<w\\leq\\infty$$$, or even moving in reverse direction of time. So, it's required to have <strong>both</strong> $$$(p_i\\leq p_j)$$$ <strong>and</strong> $$$(q_i\\leq q_j)$$$</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-504027 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-504027 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-504027\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33574\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/vinhthinhho\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/17649/avatar/4e3c7559e46fc48.jpg'/> </a>\n <div><a href=\"/profile/vinhthinhho\" title=\"Candidate Master vinhthinhho\" class=\"rated-user user-violet\">vinhthinhho</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/19/2011 11:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33574\" href=\"?#comment-33574\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33574\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"17649\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33574\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>i dont understand the transformation of (xi,ti), how does it work??? can anyone tell me the answer?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33574 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33574 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33574\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37642\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Master_Chivu\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Master_Chivu\" title=\"Unrated, Master_Chivu\" class=\"rated-user user-black\">Master_Chivu</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37642\" href=\"?#comment-37642\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37642\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7062\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37642\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">"It is obsiously that if <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/5c/f4/5cf424ac693f1a0c89b939d7a6e6f6ada6700077.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/72/41/7241691bc12db2fb46351355cdd678dfea1703d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string."<br />What is "P"?<br />It seems that "P" hasn't been metioned before.<br />I really cannot understand this sentence.<br />And may "absiously" means "abviously"?<br /><br /></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37642 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37642 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37642\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37653\" commentParentId=\"37642\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37653\" href=\"?#comment-37653\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-37642\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37653\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37653\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It was a typo. "Obsiously" should be, of course, "obviously".<div><br /></div><div>Also I occasionally used P instead of M'. It is fixed now, thanks for pointing this out.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37653 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37653 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37653\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39030\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39030\" href=\"?#comment-39030\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39030\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39030\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D is right?</p> <p>I doubts it, for expleam, A=14 and B=4 </p> <p>then X=(14-4)/2=5 Y=5+4=9</p> <p>and A>B and <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have some parity and A-X=Y<br /><br />but X^Y=5^9=12 <br />This is my doubts. And I think (A-B)/2=X&Y .<br />But I don't know the specific X and Y values</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39030 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39030 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39030\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39031\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:29\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39031\" href=\"?#comment-39031\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39031\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39031\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Quote from the editorial:<div><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">"If</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>and</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">then the answer is also -1."</span><br /></div><div>Here X=5 and A-X=9. 5 and 9 = 1, which is not equal to 5. So the answer is -1 here.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39031 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39031 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39031\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39038\" commentParentId=\"39031\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:42\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39038\" href=\"?#comment-39038\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39031\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39038\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39038\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I was wrong, <br /><span style=\"LINE-HEIGHT: 20.0px;FONT-FAMILY: verdana , arial , sans-serif;FONT-SIZE: 12.0px;\"><span class=\"tex-span\" style=\"FONT-FAMILY: "times new roman";FONT-SIZE: 15.0px;\"><i>and is &</i></span></span><br /><br />But I saw many wrong program still through the test,<br /><br />and thank you very much for your patience solutions</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39038 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39038 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39038\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39034\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:35\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39034\" href=\"?#comment-39034\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39034\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39034\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I'm sorry, X is smallest, but I'm think if the answer doesn't exist, should add a condition: X^Y=B</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39034 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39034 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39034\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"422212\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/stringray\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/575608/avatar/2902babcf56868a2.jpg'/> </a>\n <div><a href=\"/profile/stringray\" title=\"Expert stringray\" class=\"rated-user user-blue\">stringray</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/27/2018 21:44\">6 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-422212\" href=\"?#comment-422212\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"422212\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"575608\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-422212\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Can someone explain the question Gift in this question it is asking for the minimum coins such that every road's gold coin and silver coin constraints are satisfied then if (A,B) is a valid solution then we can make A=infinite and B=infinite so that there will be always a solution also won't A=max(all gi's) and B=max(all si's ) where gi=minimum gold coins for ith road and si=minimum silver coins for ith road (this is what i have understood from the question can anyone tell what's wrong in my understanding )?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-422212 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-422212 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-422212\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"517643\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Newtech66\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/748716/avatar/ba5b7d94e0bd5415.jpg'/> </a>\n <div><a href=\"/profile/Newtech66\" title=\"Expert Newtech66\" class=\"rated-user user-blue\">Newtech66</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/10/2019 13:51\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-517643\" href=\"?#comment-517643\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"517643\" class=\"CommentVoteFrame\"\r\n class=\"negative-comment-vote\"\r\n data-commentRating=\"-10\"\r\n data-commentUserId=\"748716\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-10</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-517643\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D has weak testcases. My solution gets AC despite giving an incorrect answer on the testcase '10 6'.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-517643 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-517643 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-517643\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"537992\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/memento\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/852933/avatar/950578c1b4afd9dc.jpg'/> </a>\n <div><a href=\"/profile/memento\" title=\"Expert memento\" class=\"rated-user user-blue\">memento</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Aug/24/2019 21:32\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-537992\" href=\"?#comment-537992\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"537992\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"852933\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-537992\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Shit. This was 8 years ago.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-537992 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-537992 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-537992\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"763848\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/vishaaaal\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443354/avatar/25a2dd924894eeeb.jpg'/> </a>\n <div><a href=\"/profile/vishaaaal\" title=\"Expert vishaaaal\" class=\"rated-user user-blue\">vishaaaal</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/20/2021 12:42\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-763848\" href=\"?#comment-763848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"763848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443354\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-763848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>How to solve A without MST??</p> <div class=\"spoiler\"><b class=\"spoiler-title\">Here's my approach</b><div class=\"spoiler-content\" style=\"display: none;\"><p>Let us consider two cities $$$a$$$ and $$$b$$$. We use <em>dfs</em> to calculate the minimum amount of tugriks required for travelling from $$$a$$$ to $$$b$$$. And the answer will be maximum of such value among all pairs of cities.</p><p>The problem is, I think that calculation of this value requires to use Dynamic Programming. Any hints on that??</p></div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-763848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-763848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-763848\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1722\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: 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Mice"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Mice</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>0.5 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Modern researches has shown that a flock of hungry mice searching for a piece of cheese acts as follows: if there are several pieces of cheese then each mouse chooses the closest one. After that all mice start moving towards the chosen piece of cheese. When a mouse or several mice achieve the destination point and there is still a piece of cheese in it, they eat it and become well-fed. Each mice that reaches this point after that remains hungry. Moving speeds of all mice are equal.</p><p>If there are several ways to choose closest pieces then mice will choose it in a way that would minimize the number of hungry mice. To check this theory scientists decided to conduct an experiment. They located <span class=\"tex-span\"><i>N</i></span> mice and <span class=\"tex-span\"><i>M</i></span> pieces of cheese on a cartesian plane where all mice are located on the line <span class=\"tex-span\"><i>y</i> = <i>Y</i><sub class=\"lower-index\">0</sub></span> and all pieces of cheese — on another line <span class=\"tex-span\"><i>y</i> = <i>Y</i><sub class=\"lower-index\">1</sub></span>. To check the results of the experiment the scientists need a program which simulates the behavior of a flock of hungry mice.</p><p>Write a program that computes the minimal number of mice which will remain hungry, i.e. without cheese.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of the input contains four integer numbers <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 10<sup class=\"upper-index\">5</sup></span>), <span class=\"tex-span\"><i>M</i></span> (<span class=\"tex-span\">0 ≤ <i>M</i> ≤ 10<sup class=\"upper-index\">5</sup></span>), <span class=\"tex-span\"><i>Y</i><sub class=\"lower-index\">0</sub></span> (<span class=\"tex-span\">0 ≤ <i>Y</i><sub class=\"lower-index\">0</sub> ≤ 10<sup class=\"upper-index\">7</sup></span>), <span class=\"tex-span\"><i>Y</i><sub class=\"lower-index\">1</sub></span> (<span class=\"tex-span\">0 ≤ <i>Y</i><sub class=\"lower-index\">1</sub> ≤ 10<sup class=\"upper-index\">7</sup></span>, <span class=\"tex-span\"><i>Y</i><sub class=\"lower-index\">0</sub> ≠ <i>Y</i><sub class=\"lower-index\">1</sub></span>). The second line contains a strictly increasing sequence of <span class=\"tex-span\"><i>N</i></span> numbers — <span class=\"tex-span\"><i>x</i></span> coordinates of mice. Third line contains a strictly increasing sequence of <span class=\"tex-span\"><i>M</i></span> numbers — <span class=\"tex-span\"><i>x</i></span> coordinates of cheese. All coordinates are integers and do not exceed <span class=\"tex-span\">10<sup class=\"upper-index\">7</sup></span> by absolute value.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only line of output should contain one number — the minimal number of mice which will remain without cheese.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 2 0 2<br/>0 1 3<br/>2 5<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>All the three mice will choose the first piece of cheese. Second and third mice will eat this piece. The first one will remain hungry, because it was running towards the same piece, but it was late. The second piece of cheese will remain uneaten.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"7217a2b72bc7ee1bd0e497b1468d47d8\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - B - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"082aec557c4be1a19e98b0bfc72b3335be5aa92b\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - B - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Mice</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>0.5 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Modern researches has shown that a flock of hungry mice searching for a piece of cheese acts as follows: if there are several pieces of cheese then each mouse chooses the closest one. After that all mice start moving towards the chosen piece of cheese. When a mouse or several mice achieve the destination point and there is still a piece of cheese in it, they eat it and become well-fed. Each mice that reaches this point after that remains hungry. Moving speeds of all mice are equal.</p><p>If there are several ways to choose closest pieces then mice will choose it in a way that would minimize the number of hungry mice. To check this theory scientists decided to conduct an experiment. They located <span class=\"tex-span\"><i>N</i></span> mice and <span class=\"tex-span\"><i>M</i></span> pieces of cheese on a cartesian plane where all mice are located on the line <span class=\"tex-span\"><i>y</i> = <i>Y</i><sub class=\"lower-index\">0</sub></span> and all pieces of cheese — on another line <span class=\"tex-span\"><i>y</i> = <i>Y</i><sub class=\"lower-index\">1</sub></span>. To check the results of the experiment the scientists need a program which simulates the behavior of a flock of hungry mice.</p><p>Write a program that computes the minimal number of mice which will remain hungry, i.e. without cheese.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of the input contains four integer numbers <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 10<sup class=\"upper-index\">5</sup></span>), <span class=\"tex-span\"><i>M</i></span> (<span class=\"tex-span\">0 ≤ <i>M</i> ≤ 10<sup class=\"upper-index\">5</sup></span>), <span class=\"tex-span\"><i>Y</i><sub class=\"lower-index\">0</sub></span> (<span class=\"tex-span\">0 ≤ <i>Y</i><sub class=\"lower-index\">0</sub> ≤ 10<sup class=\"upper-index\">7</sup></span>), <span class=\"tex-span\"><i>Y</i><sub class=\"lower-index\">1</sub></span> (<span class=\"tex-span\">0 ≤ <i>Y</i><sub class=\"lower-index\">1</sub> ≤ 10<sup class=\"upper-index\">7</sup></span>, <span class=\"tex-span\"><i>Y</i><sub class=\"lower-index\">0</sub> ≠ <i>Y</i><sub class=\"lower-index\">1</sub></span>). The second line contains a strictly increasing sequence of <span class=\"tex-span\"><i>N</i></span> numbers — <span class=\"tex-span\"><i>x</i></span> coordinates of mice. Third line contains a strictly increasing sequence of <span class=\"tex-span\"><i>M</i></span> numbers — <span class=\"tex-span\"><i>x</i></span> coordinates of cheese. All coordinates are integers and do not exceed <span class=\"tex-span\">10<sup class=\"upper-index\">7</sup></span> by absolute value.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only line of output should contain one number — the minimal number of mice which will remain without cheese.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 2 0 2<br />0 1 3<br />2 5<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>All the three mice will choose the first piece of cheese. Second and third mice will eat this piece. The first one will remain hungry, because it was running towards the same piece, but it was late. 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:29</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='558ab1a7f09bc5c6200b881abd515673'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/KADR\">KADR</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/KADR\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/KADR\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/KADR\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/KADR\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/KADR\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/KADR\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/KADR\" style=\"text-decoration:none;color:black !important;\">KADR's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1712\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1712\"> All-Ukrainian School Olympiad in Informatics: editorial (A,B,C,D,E,F)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a>,\r\n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div>The editorial is now completed.</div><div><br /></div><div><div><b>Problem A: Gift (Roman Iedemskyi)</b></div><div><br /></div><div>Suppose that the pair <span class=\"tex-span\">(<i>A</i>, <i>B</i>)</span> is an optimal solution, where <span class=\"tex-span\"><i>A</i></span> is the number of gold coins in a gift and <span class=\"tex-span\"><i>B</i></span> is a number of silver coins. It is easy to see that there exist two (probably equal) indexes <span class=\"tex-span\"><i>i</i></span> and <span class=\"tex-span\"><i>j</i></span> such that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> = <i>A</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>j</i></sub> = <i>B</i></span>. It is true, because in the other case we could decrease either <span class=\"tex-span\"><i>A</i></span> or <span class=\"tex-span\"><i>B</i></span> without changing connectivity of the graph.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> be the graph in which for all <span class=\"tex-span\"><i>i</i></span> the following statement holds: <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/f6a7810c1f985efe671bb157563fc069d097fbce.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> be the weighted graph in which for all edges <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>A</i></span>. For each edge <span class=\"tex-span\"><i>i</i></span> we will assign a weight equal to <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>. Let's find a spanning tree of this graph, which has the property that its maximal edge is minimal possible. It can be shown that for the fixed <span class=\"tex-span\"><i>A</i></span> the minimal value of <span class=\"tex-span\"><i>B</i></span> for which graph <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> is still connected is equal to the weight of the maximal edge in this spanning tree.</div><div><br /></div><div><i>Claim</i>. Minimal spanning tree of a graph has the property that its maximal edge is minimal possible among all spanning trees.</div><div><i>Proof</i>. Let <span class=\"tex-span\"><i>L</i></span> be the minimal spanning tree of a graph. Suppose there exists a spanning tree <span class=\"tex-span\"><i>P</i></span> in which all edges have smaller weight than the weight of the maximal edge of <span class=\"tex-span\"><i>L</i></span>. We can then remove the maximal edge from <span class=\"tex-span\"><i>L</i></span> and add some edge from <span class=\"tex-span\"><i>P</i></span> to it which will connect the graph back. After that <span class=\"tex-span\"><i>L</i></span> will have strictly smaller weight, which is impossible because it is a minimal spanning tree.</div><div><br /></div><div>Let's sort all edges of the graph in ascending order of <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>. Then the edges of graph <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> for the fixed <span class=\"tex-span\"><i>i</i></span> will be all edges with indexes <span class=\"tex-span\"><i>j</i> ≤ <i>i</i></span>.</div><div><br /></div><div>Suppose that for some value of <span class=\"tex-span\"><i>i</i></span> we have already found minimal spanning tree in every connected component of the graph <span class=\"tex-span\"><i>T</i>(<i>g</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Let's add an edge with index <span class=\"tex-span\"><i>i</i> + 1</span> into it. If it connects two different components, then after this operation they will be merged into one big component and it is obviously that the spanning tree we have in it is the minimal spanning tree. If <span class=\"tex-span\"><i>i</i> + 1</span>-th edge connects two vertices from the same connected component, then it will create exactly one cycle in the graph. We can find the maximal edge in this cycle and remove it from the graph. It can be proven that the remaining tree will be the minimal spanning tree of this connected component.</div><div><br /></div><div>We can perform the search of the maximal edge in a cycle as well as the insertion and removal of the edges in O(N). The total complexity is <span class=\"tex-span\"><i>O</i>(<i>NM</i> + <i>MlogM</i>)</span>.</div></div><div><br /></div><div><div><b>Problem B: Mice (Roman Rizvanov)</b></div><div><br /></div><div>It is easy to see that the number of closest pieces of cheese for each mouse is not greater than 2.</div><div><br /></div><div>Let's find the closest pieces of cheese for each mouse to the left and to the right from it. From two directions we will choose the one which gives us shorter way to cheese or both of them if their lengths are equal. If on the chosen way between the mouse and the cheese stands another mouse, then we should exclude this way from consideration, because another mouse will get to the cheese faster. Now all the directions lead to cheese and for each piece of cheese there is at most one mouse which can potentially eat it from each direction.</div><div><br /></div><div>We will process mice from left to right. If the current mouse can move left and the cheese to the left of it is not chosen by any other mouse or it is chosen by a mouse with the same distance to it, then the current mouse can move to the left and eat this piece of cheese without interfering with other mice. This choice will not affect any choices of the next mice, because only one mouse can go to this piece of cheese from the right (see previous paragraph). Thus, this choice can not decrease the answer. In all other cases the current mouse can not increase the answer by moving left, so it should move to the right if it has such opportunity.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(<i>N</i> + <i>M</i>)</span>.</div><div><br /></div><div>This problem can be also solved using dynamic programming.</div></div><div><br /></div><div><b>Problem C: Mutation (Iaroslav Tverdokhlib)</b></div><div><br /></div><div><div>In the editorial we will replace terms "risk", "genome" and "gene" with "cost", "string" and "character", respectively. Let <span class=\"tex-span\"><i>S</i></span> be the starting string.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>M</i></span> be the bitmask of chars which will be removed. Let's iterate over all possible values of <span class=\"tex-span\"><i>M</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we need to find a cost of the string, which remained after removal of <span class=\"tex-span\"><i>M</i></span> and if this cost doesn't exceed <span class=\"tex-span\"><i>T</i></span> we will increase the answer by 1. Naive implementation of this idea has the complexity <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>N</i>)</span>.</div><div><br /></div><div>We can not get rid of iterating over all <span class=\"tex-span\"><i>M</i></span>, so we will try to optimize a part of the algorithm which finds a cost of the remaining string.</div><div><br /></div><div>Let's take two indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> from the beginning string <span class=\"tex-span\"><i>l</i> < <i>r</i></span>. Let <span class=\"tex-span\"><i>M</i>'</span> be the bitmask of all characters which are located strictly between them. It is obviously that if <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7b04066e365590d0dc24c90dfc15aabd64c75339.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/3880b6b45cb2a0ccd5ea51b69f020c9e5a9f7fa1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string. Hence for the fixed <span class=\"tex-span\"><i>l</i></span> there are not more than <span class=\"tex-span\"><i>K</i></span> possible candidates for <span class=\"tex-span\"><i>r</i></span>, which means that there are <span class=\"tex-span\"><i>O</i>(<i>NK</i>)</span> pairs of such potential neighbours. We will call such pairs "good".</div><div><br /></div><div>We want to find out what form should have the set <span class=\"tex-span\"><i>M</i></span> that after its removal indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> became adjacent. It is easy to see that the following two conditions should be true:</div><div><br /></div><div>1. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/07de7c5bc68bc92d118ada183dab5d78f5c631c4.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div>2. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7fa1a37ebb11a92726d78e30e0ad17ffda729919.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Let's iterate over all good pairs of <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find the set <span class=\"tex-span\"><i>M</i>'</span>. For each triple <span class=\"tex-span\">(<i>a</i>, <i>b</i>, <i>P</i>)</span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>l</i></sub> = <i>a</i></span>, <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>r</i></sub> = <i>b</i></span>, <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. After that for the fixed <span class=\"tex-span\"><i>M</i></span> we will iterate over all pairs of characters <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> and its subsets <span class=\"tex-span\"><i>P</i></span> and add all their costs together. Also we need to add the cost of removal of <span class=\"tex-span\"><i>M</i></span> and the resulting sum will be the cost of the string which will left after removal of <span class=\"tex-span\"><i>M</i></span>. The complexity of such solution is <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> * <i>K</i><sup class=\"upper-index\">2</sup> + <i>NK</i>)</span>.</div><div><br /></div><div>We will optimize the previous solution by decreasing a factor near <span class=\"tex-span\">3<sup class=\"upper-index\"><i>K</i></sup></span>. Let's look at the following (incorrect) algorithm:</div><div><br /></div><div>We will iterate over all good pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find <span class=\"tex-span\"><i>M</i>'</span>. Let's create an array <span class=\"tex-span\"><i>v</i></span> in which for each mask <span class=\"tex-span\"><i>P</i></span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we will find a sum of all values from <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>M</i></span>, then add the cost of removal of <span class=\"tex-span\"><i>M</i></span> to it and the resulting sum will be the cost of the remaining string.</div><div><br /></div><div>This algorithm is incorrect, because some costs of neighborhood are added to the total cost, but in fact the respective <span class=\"tex-span\"><i>l</i></span> or <span class=\"tex-span\"><i>r</i></span> are removed. Let's use inclusion-exclusion principle and make the following at the phase of filling array <span class=\"tex-span\"><i>v</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>v</i>[<i>M</i>'] + = <i>cost</i></span></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4d392e8baa2755f671b67077d5ad638a2818e1c.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/0939a5ad00766ddcedb4465081c7dc8c63f0dd22.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/872ba326de38444a17ace78f749a43a3e1eff1d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>With such filling of <span class=\"tex-span\"><i>v</i></span> the algorithm described above is correct and the total complexity becomes <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> + <i>NK</i>)</span>.</div><div><br /></div><div>This is still not enough for the full solution, but we are almost there. We only need to find a fast way of finding the sum of the values of <span class=\"tex-span\"><i>v</i></span> for all submasks of all masks <span class=\"tex-span\"><i>M</i></span>. We will use the following iterative algorithm for this purpose:</div><div><br /></div><div>Before the first iteration we have an array <span class=\"tex-span\"><i>v</i></span> in which the starting values are stored. After iteration with number <span class=\"tex-span\"><i>i</i></span> in <span class=\"tex-span\"><i>v</i>[<i>mask</i>]</span> we will store the sum of all the values from the original array <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>mask</i></span> for which the first <span class=\"tex-span\"><i>K</i> - <i>i</i></span> bits are equal to the respective bits of <span class=\"tex-span\"><i>mask</i></span>. On iteration with number <span class=\"tex-span\"><i>i</i></span> for all masks in which the <span class=\"tex-span\"><i>i</i></span>-th bit is equal to 1 (bits are numbered from 1) we will perform the following: <span class=\"tex-span\"><i>v</i>[<i>mask</i>] + = <i>v</i>[<i>mask</i>\\{<i>i</i>}]</span>. It is easy to see that after the <span class=\"tex-span\"><i>K</i></span>-th iteration of this algorithm we will have the values we were looking for in array <span class=\"tex-span\"><i>v</i></span>.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>K</i> + <i>NK</i>)</span>.</div></div><div><br /></div><div><b>Problem D: Plus and XOR (Daniel Neiter)</b></div><div><br /></div><div>Let's take a look at some bit in X, which is equal to 1. If the respective bit in Y is equal to 0, then we can swap these two bits, thus reducing X and increasing Y without changing their sum and xor. We can conclude that if some bit in X is equal to 1 then the respective bit in Y is also equal to 1. Thus, <span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span>. Taking into account that <span class=\"tex-span\"><i>X</i> + <i>Y</i> = <i>X</i> + <i>X</i> + <i>B</i> = <i>A</i>, </span> we can obtain the following formulas for finding <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>X</i> = (<i>A</i> - <i>B</i>) / 2</span></div><div><span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span></div><div><div><br /></div><div>One should also notice that if <span class=\"tex-span\"><i>A</i> < <i>B</i></span> or <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have different parity, then the answer doesn't exist and we should output -1. If <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-span\"><i>and</i></span> <span class=\"tex-span\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span> then the answer is also -1.</div></div><div><br /></div><div><b>Problem E: Points (Daniel Neiter)</b></div><div><b><br /></b></div><div>Let's regroup summands and split the sum of squares of distances we are looking for into two sums:</div><div><b><br /></b></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/6e7ca6f50695e36ea199c3704ebb7574c4bfc029.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4a6a53d2cb6e9458620cc0b964c69f610df6601.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Now we need to rewrite each of these sums in the following way (it will be shown for the first sum):</div><div><br /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/ce7d437559ce56c7602146506aaec7f5b8f5920b.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/14de3bd836c0e823801f884a115983ff447988b5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>This formula allows us to find an answer in one pass through the array. The complexity is O(N).</div><div><br /></div><div><div><b>Problem F: Tourist (Ilya Porublyov)</b></div><div><br /></div><div>We can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if the following statements are true:</div><div><br /></div><div><ul><li><span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>t</i><sub class=\"lower-index\"><i>j</i></sub></span><br /></li><li><span class=\"tex-span\">|<i>x</i><sub class=\"lower-index\"><i>i</i></sub> - <i>x</i><sub class=\"lower-index\"><i>j</i></sub>| ≤ |<i>t</i><sub class=\"lower-index\"><i>i</i></sub> - <i>t</i><sub class=\"lower-index\"><i>j</i></sub>|· <i>V</i></span><br /></li></ul></div><div>We can represent all the events as points on a plane with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Now we can reformulate the two statements written above in the following way:<br /></div><div><br /></div><div>From the event <span class=\"tex-span\"><i>i</i></span> we can get to the event <span class=\"tex-span\"><i>j</i></span> if the point <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>j</i></sub>, <i>t</i><sub class=\"lower-index\"><i>j</i></sub>)</span> lise inside an angle pointed to the top with its vertex in <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> and its sides form an angle <span class=\"tex-span\"><i>arctg</i>(<i>V</i>)</span> with vertical axis. Let's make coordinate transformation according to which the point with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will transform into the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span>, where</div><div><span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> = - <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> = <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><br /></div><div>Now we can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> и <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. Let's sort all points in ascending order of <span class=\"tex-span\"><i>p</i></span>. If several points have the same <span class=\"tex-span\"><i>p</i></span> we will sort them by <span class=\"tex-span\"><i>q</i></span>. The second subproblem of our problem can be solved by finding a longest increasing subsequence by <span class=\"tex-span\"><i>q</i></span> in this array. It can be done in <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div><div><br /></div><div>To solve the first subproblem we can add dummy event with coordinate 0 and time 0 (if it is not present in our set of events yet) and force tourist's start from it.</div><div><br /></div><div>The total complexity if <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/76\" class=\"notice\" style=\"text-decoration: none;\">All-Ukrainian School Olympiad in Informatics</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-996-1712\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"996\",\n blogEntryId: \"1712\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=uoi2011\" class=\"tag notice\" style=\"text-decoration: none;\">uoi2011</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+30</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/KADR\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/KADR\">\n KADR\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1712#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1712#comments\">\n 24\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1722\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (22)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32624\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/wil93\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14356/avatar/897f1996dfb7343b.jpg'/> </a>\n <div><a href=\"/profile/wil93\" title=\"Expert wil93\" class=\"rated-user user-blue\">wil93</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/12/2011 23:20\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32624\" href=\"?#comment-32624\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32624\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"14356\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32624\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks very much, I think E's solution is genial. I understood it now, but it would be very difficult for me to come out with a similar thought :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32624 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32624 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32624\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33014\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 16:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33014\" href=\"?#comment-33014\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33014\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33014\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33014\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Hi,<br /><br />I would like to ask about problem F. Is there a particular reason why you sort by p first before you sort by q? If not, will sorting by q and then by p for tiebreak change the solution? If not, may I know if you can prove so? I can understand how you make the transformation and why the transformation is correct, but I am not convinced that you can get the optimal solution just by sorting and finding the LIS (Do you mean the longest non-decreasing subsequence? From what I understand, I think you first label the vertices according to the time when they appear. If they appear at the same time, then they have the same label.) Can you please give a proof or explanation why it works?<br /><br />Thanks in advance!</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33014 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33014 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33014\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33025\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33025\" href=\"?#comment-33025\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33025\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33025\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33025\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">If some two events have the same time then it is impossible to visit them both, so we are not interested in their relative order in the sorted array (after performing the transformation).<div><br /></div><div>After the transformation we can get from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> to the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>j</i></sub>, <i>q</i><sub class=\"lower-index\"><i>j</i></sub>)</span> iff <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> and <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. After performing the sorting described in the editorial all points reachable from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will have greater indexes in the array. This automatically means that the sequence will be non-decreasing by <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub></span>, so we only need to care about <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span>. The longest non-decreasing sequence by <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span> is the sequence we are looking for.</div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33025 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33025 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33025\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33026\" commentParentId=\"33025\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33026\" href=\"?#comment-33026\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33025\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33026\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33026\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Oh, that makes sense now. Thanks!</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33026 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33026 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33026\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503943\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 07:51\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503943\" href=\"?#comment-503943\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503943\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503943\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hi,</p><p><code>Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj. Let's sort all points in ascending order of p. If several points have the same p we will sort them by q.</code> Can you please explain it for me?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503943 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503943 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503943\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503965\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:02\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503965\" href=\"?#comment-503965\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503965\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503965\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>What do you want to be explained? Why "Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj."? Or what "If several points have the same p we will sort them by q." mean? Or what?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503965 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503965 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503965\">\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503976\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:48\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503976\" href=\"?#comment-503976\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503976\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503976\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p><a href=\"https://drive.google.com/file/d/1fwCssJgSTEJ5ic4AzHjhQBQnrypuQkYm/view?usp=sharing\">Here</a> is more detailed tutorial. It's in Ukrainian, but you can Google-translate it (result is poor, but some things are still correct) and look at figures and equations.</p><p>I CAN try to reply on more concrete questions, but I don't want to translate the whole text...</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503976 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503976 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503976\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503980\" commentParentId=\"503976\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 13:17\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503980\" href=\"?#comment-503980\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503976\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503980\" revisionCount=\"4\" revision=\"4\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">4</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503980\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503980\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Well, What are the significances of p, q axes and angle arctg(v)? What do they represent?</p><p>What I understand before, as I mentioned in another comment's reply was as below: to go to j from i: <code>abs(xj - xi) / tj - ti <= v</code> so, </p><p><code>xj + v*tj >= xi + ti*v</code> and <code>-xi + v*ti >= -xj + v*t</code> </p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503980 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503980 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503980\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503987\" commentParentId=\"503980\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 15:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503987\" href=\"?#comment-503987\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503980\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503987\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503987\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Axis $$$p$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${-}v$$$), i.e.maximal by absolute value and directed to left. Its positive ray is the left-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system. Similarly, $$$q$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${+}v$$$), i.e. maximal by absolute value and directed to right; its positive ray is the right-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system.</p><p>It's not very obvious to look at these axes... But, from other hand, it's not unnatural: we need some effective checking of where the tourist can get in time and where he cannot, so let's try: what, if we'll consider borders of the "reachable-in-time" area as coordinate axes?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503987 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503987 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503987\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503991\" commentParentId=\"503987\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 16:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503991\" href=\"?#comment-503991\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503987\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503991\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503991\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503991\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I hope this is my last query:</p><p>If tourist needs to go from i to j where xi > xj, that time the velocity is negative. Right? And, the velocity can not be positive and negative at a time,</p><p>But why do we check</p> <pre><code>pi < pj and qi < qj ?\n</code></pre><p>Why not </p> <pre><code>pi < pj or qi < qj?\n</code></pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503991 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503991 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503991\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"504027\" commentParentId=\"503991\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 22:22\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-504027\" href=\"?#comment-504027\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503991\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"504027\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-504027\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>The axis directed from bottom to top is $$$t$$$ (time). The tourist cannot travel in time as he wants and/or change time flow direction. All what he can is to choose </p> <ol> <li><p>whether to stay at place with zero velocity (= move in direction of $$$t$$$, which is exactly in the middle between positive direction of $$$p$$$ and positive direction of $$$q$$$);</p></li> <li><p>or to move with velocity ($$$-v$$$), negative and maximal by absolute value, which is exactly positive direction of $$$p$$$;</p></li> <li><p>or to move with velocity ($$$+v$$$), positive and maximal by absolute value, which is exactly positive direction of $$$q$$$;</p></li> <li><p>or to move with velocity $$$0<w<v$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is bigger that $$$p$$$-projection; in other words, $$$0<w<v$$$ corresponds to $$$0<p<q$$$;</p></li> <li><p>or to move with velocity $$$-v<w<0$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is smaller that $$$p$$$-projection; in other words, $$$-v<w<0$$$ corresponds to $$$0<q<p$$$;</p></li> </ol><p>Whereas $$$(q_i > q_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$-\\infty\\leq w < -v$$$, or even moving in reverse direction of time. Similarly, $$$(p_i > p_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$v<w\\leq\\infty$$$, or even moving in reverse direction of time. So, it's required to have <strong>both</strong> $$$(p_i\\leq p_j)$$$ <strong>and</strong> $$$(q_i\\leq q_j)$$$</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-504027 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-504027 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-504027\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33574\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/vinhthinhho\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/17649/avatar/4e3c7559e46fc48.jpg'/> </a>\n <div><a href=\"/profile/vinhthinhho\" title=\"Candidate Master vinhthinhho\" class=\"rated-user user-violet\">vinhthinhho</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/19/2011 11:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33574\" href=\"?#comment-33574\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33574\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"17649\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33574\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>i dont understand the transformation of (xi,ti), how does it work??? can anyone tell me the answer?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33574 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33574 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33574\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37642\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Master_Chivu\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Master_Chivu\" title=\"Unrated, Master_Chivu\" class=\"rated-user user-black\">Master_Chivu</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37642\" href=\"?#comment-37642\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37642\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7062\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37642\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">"It is obsiously that if <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/5c/f4/5cf424ac693f1a0c89b939d7a6e6f6ada6700077.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/72/41/7241691bc12db2fb46351355cdd678dfea1703d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string."<br />What is "P"?<br />It seems that "P" hasn't been metioned before.<br />I really cannot understand this sentence.<br />And may "absiously" means "abviously"?<br /><br /></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37642 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37642 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37642\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37653\" commentParentId=\"37642\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37653\" href=\"?#comment-37653\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-37642\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37653\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37653\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It was a typo. "Obsiously" should be, of course, "obviously".<div><br /></div><div>Also I occasionally used P instead of M'. It is fixed now, thanks for pointing this out.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37653 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37653 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37653\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39030\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39030\" href=\"?#comment-39030\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39030\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39030\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D is right?</p> <p>I doubts it, for expleam, A=14 and B=4 </p> <p>then X=(14-4)/2=5 Y=5+4=9</p> <p>and A>B and <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have some parity and A-X=Y<br /><br />but X^Y=5^9=12 <br />This is my doubts. And I think (A-B)/2=X&Y .<br />But I don't know the specific X and Y values</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39030 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39030 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39030\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39031\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:29\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39031\" href=\"?#comment-39031\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39031\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39031\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Quote from the editorial:<div><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">"If</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>and</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">then the answer is also -1."</span><br /></div><div>Here X=5 and A-X=9. 5 and 9 = 1, which is not equal to 5. So the answer is -1 here.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39031 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39031 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39031\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39038\" commentParentId=\"39031\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:42\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39038\" href=\"?#comment-39038\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39031\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39038\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39038\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I was wrong, <br /><span style=\"LINE-HEIGHT: 20.0px;FONT-FAMILY: verdana , arial , sans-serif;FONT-SIZE: 12.0px;\"><span class=\"tex-span\" style=\"FONT-FAMILY: "times new roman";FONT-SIZE: 15.0px;\"><i>and is &</i></span></span><br /><br />But I saw many wrong program still through the test,<br /><br />and thank you very much for your patience solutions</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39038 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39038 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39038\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39034\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:35\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39034\" href=\"?#comment-39034\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39034\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39034\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I'm sorry, X is smallest, but I'm think if the answer doesn't exist, should add a condition: X^Y=B</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39034 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39034 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39034\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"422212\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/stringray\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/575608/avatar/2902babcf56868a2.jpg'/> </a>\n <div><a href=\"/profile/stringray\" title=\"Expert stringray\" class=\"rated-user user-blue\">stringray</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/27/2018 21:44\">6 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-422212\" href=\"?#comment-422212\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"422212\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"575608\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-422212\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Can someone explain the question Gift in this question it is asking for the minimum coins such that every road's gold coin and silver coin constraints are satisfied then if (A,B) is a valid solution then we can make A=infinite and B=infinite so that there will be always a solution also won't A=max(all gi's) and B=max(all si's ) where gi=minimum gold coins for ith road and si=minimum silver coins for ith road (this is what i have understood from the question can anyone tell what's wrong in my understanding )?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-422212 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-422212 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-422212\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"517643\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Newtech66\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/748716/avatar/ba5b7d94e0bd5415.jpg'/> </a>\n <div><a href=\"/profile/Newtech66\" title=\"Expert Newtech66\" class=\"rated-user user-blue\">Newtech66</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/10/2019 13:51\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-517643\" href=\"?#comment-517643\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"517643\" class=\"CommentVoteFrame\"\r\n class=\"negative-comment-vote\"\r\n data-commentRating=\"-10\"\r\n data-commentUserId=\"748716\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-10</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-517643\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D has weak testcases. My solution gets AC despite giving an incorrect answer on the testcase '10 6'.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-517643 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-517643 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-517643\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"537992\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/memento\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/852933/avatar/950578c1b4afd9dc.jpg'/> </a>\n <div><a href=\"/profile/memento\" title=\"Expert memento\" class=\"rated-user user-blue\">memento</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Aug/24/2019 21:32\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-537992\" href=\"?#comment-537992\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"537992\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"852933\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-537992\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Shit. This was 8 years ago.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-537992 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-537992 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-537992\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"763848\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/vishaaaal\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443354/avatar/25a2dd924894eeeb.jpg'/> </a>\n <div><a href=\"/profile/vishaaaal\" title=\"Expert vishaaaal\" class=\"rated-user user-blue\">vishaaaal</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/20/2021 12:42\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-763848\" href=\"?#comment-763848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"763848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443354\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-763848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>How to solve A without MST??</p> <div class=\"spoiler\"><b class=\"spoiler-title\">Here's my approach</b><div class=\"spoiler-content\" style=\"display: none;\"><p>Let us consider two cities $$$a$$$ and $$$b$$$. We use <em>dfs</em> to calculate the minimum amount of tugriks required for travelling from $$$a$$$ to $$$b$$$. And the answer will be maximum of such value among all pairs of cities.</p><p>The problem is, I think that calculation of this value requires to use Dynamic Programming. Any hints on that??</p></div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-763848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-763848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-763848\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1722\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: 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Mutation"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Mutation</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Scientists of planet Olympia are conducting an experiment in mutation of primitive organisms. Genome of organism from this planet can be represented as a string of the first <span class=\"tex-span\"><i>K</i></span> capital English letters. For each pair of types of genes they assigned <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i>, <i>j</i></sub></span> — a risk of disease occurence in the organism provided that genes of these types are adjacent in the genome, where <span class=\"tex-span\"><i>i</i></span> — the 1-based index of the first gene and <span class=\"tex-span\"><i>j</i></span> — the index of the second gene. The gene 'A' has index 1, 'B' has index 2 and so on. For example, <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\">3, 2</sub></span> stands for the risk of 'CB' fragment. Risk of disease occurence in the organism is equal to the sum of risks for each pair of adjacent genes in the genome.</p><p>Scientists have already obtained a base organism. Some new organisms can be obtained by mutation of this organism. Mutation involves removal of all genes of some particular types. Such removal increases the total risk of disease occurence additionally. For each type of genes scientists determined <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> — the increasement of the total risk of disease occurence provided by removal of all genes having type with index <span class=\"tex-span\"><i>i</i></span>. For example, <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">4</sub></span> stands for the value of additional total risk increasement in case of removing all the 'D' genes.</p><p>Scientists want to find a number of different organisms that can be obtained from the given one which have the total risk of disease occurence not greater than <span class=\"tex-span\"><i>T</i></span>. They can use only the process of mutation described above. Two organisms are considered different if strings representing their genomes are different. Genome should contain at least one gene.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of the input contains three integer numbers <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 200 000</span>) — length of the genome of base organism, <span class=\"tex-span\"><i>K</i></span> (<span class=\"tex-span\">1 ≤ <i>K</i> ≤ 22</span>) — the maximal index of gene type in the genome and <span class=\"tex-span\"><i>T</i></span> (<span class=\"tex-span\">1 ≤ <i>T</i> ≤ 2·10<sup class=\"upper-index\">9</sup></span>) — maximal allowable risk of disease occurence. The second line contains the genome of the given organism. It is a string of the first <span class=\"tex-span\"><i>K</i></span> capital English letters having length <span class=\"tex-span\"><i>N</i></span>.</p><p>The third line contains <span class=\"tex-span\"><i>K</i></span> numbers <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">1</sub>, <i>t</i><sub class=\"lower-index\">2</sub>, ..., <i>t</i><sub class=\"lower-index\"><i>K</i></sub></span>, where <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> is additional risk value of disease occurence provided by removing of all genes of the <span class=\"tex-span\"><i>i</i></span>-th type.</p><p>The following <span class=\"tex-span\"><i>K</i></span> lines contain the elements of the given matrix <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i>, <i>j</i></sub></span>. The <span class=\"tex-span\"><i>i</i></span>-th line contains <span class=\"tex-span\"><i>K</i></span> numbers. The <span class=\"tex-span\"><i>j</i></span>-th number of the <span class=\"tex-span\"><i>i</i></span>-th line stands for a risk of disease occurence for the pair of genes, first of which corresponds to the <span class=\"tex-span\"><i>i</i></span>-th letter and second of which corresponds to the <span class=\"tex-span\"><i>j</i></span>-th letter. The given matrix is <span class=\"tex-font-style-bf\">not</span> necessarily symmetrical.</p><p>All the numbers in the input are integer, non-negative and all of them except <span class=\"tex-span\"><i>T</i></span> are not greater than <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup></span>. It is guaranteed that the maximal possible risk of organism that can be obtained from the given organism is strictly smaller than <span class=\"tex-span\">2<sup class=\"upper-index\">31</sup></span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the number of organisms that can be obtained from the base one and which have the total risk of disease occurence not greater than <span class=\"tex-span\"><i>T</i></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5 3 13<br/>BACAC<br/>4 1 2<br/>1 2 3<br/>2 3 4<br/>3 4 10<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>5<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>Explanation: one can obtain the following organisms (risks are stated in brackets): BACAC (11), ACAC (10), BAA (5), B (6), AA (4).</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"3f36343774e184b41fa017fcda6a26ed\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - C - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"082aec557c4be1a19e98b0bfc72b3335be5aa92b\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - C - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"C\" data-uuid=\"ps_ca46cbeccd3220c3daccb09de7f3148d27d3ee83\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Mutation</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Scientists of planet Olympia are conducting an experiment in mutation of primitive organisms. Genome of organism from this planet can be represented as a string of the first <span class=\"tex-span\"><i>K</i></span> capital English letters. For each pair of types of genes they assigned <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i>, <i>j</i></sub></span> — a risk of disease occurence in the organism provided that genes of these types are adjacent in the genome, where <span class=\"tex-span\"><i>i</i></span> — the 1-based index of the first gene and <span class=\"tex-span\"><i>j</i></span> — the index of the second gene. The gene 'A' has index 1, 'B' has index 2 and so on. For example, <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\">3, 2</sub></span> stands for the risk of 'CB' fragment. Risk of disease occurence in the organism is equal to the sum of risks for each pair of adjacent genes in the genome.</p><p>Scientists have already obtained a base organism. Some new organisms can be obtained by mutation of this organism. Mutation involves removal of all genes of some particular types. Such removal increases the total risk of disease occurence additionally. For each type of genes scientists determined <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> — the increasement of the total risk of disease occurence provided by removal of all genes having type with index <span class=\"tex-span\"><i>i</i></span>. For example, <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">4</sub></span> stands for the value of additional total risk increasement in case of removing all the 'D' genes.</p><p>Scientists want to find a number of different organisms that can be obtained from the given one which have the total risk of disease occurence not greater than <span class=\"tex-span\"><i>T</i></span>. They can use only the process of mutation described above. Two organisms are considered different if strings representing their genomes are different. Genome should contain at least one gene.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of the input contains three integer numbers <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 200 000</span>) — length of the genome of base organism, <span class=\"tex-span\"><i>K</i></span> (<span class=\"tex-span\">1 ≤ <i>K</i> ≤ 22</span>) — the maximal index of gene type in the genome and <span class=\"tex-span\"><i>T</i></span> (<span class=\"tex-span\">1 ≤ <i>T</i> ≤ 2·10<sup class=\"upper-index\">9</sup></span>) — maximal allowable risk of disease occurence. The second line contains the genome of the given organism. It is a string of the first <span class=\"tex-span\"><i>K</i></span> capital English letters having length <span class=\"tex-span\"><i>N</i></span>.</p><p>The third line contains <span class=\"tex-span\"><i>K</i></span> numbers <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">1</sub>, <i>t</i><sub class=\"lower-index\">2</sub>, ..., <i>t</i><sub class=\"lower-index\"><i>K</i></sub></span>, where <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> is additional risk value of disease occurence provided by removing of all genes of the <span class=\"tex-span\"><i>i</i></span>-th type.</p><p>The following <span class=\"tex-span\"><i>K</i></span> lines contain the elements of the given matrix <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i>, <i>j</i></sub></span>. The <span class=\"tex-span\"><i>i</i></span>-th line contains <span class=\"tex-span\"><i>K</i></span> numbers. The <span class=\"tex-span\"><i>j</i></span>-th number of the <span class=\"tex-span\"><i>i</i></span>-th line stands for a risk of disease occurence for the pair of genes, first of which corresponds to the <span class=\"tex-span\"><i>i</i></span>-th letter and second of which corresponds to the <span class=\"tex-span\"><i>j</i></span>-th letter. The given matrix is <span class=\"tex-font-style-bf\">not</span> necessarily symmetrical.</p><p>All the numbers in the input are integer, non-negative and all of them except <span class=\"tex-span\"><i>T</i></span> are not greater than <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup></span>. It is guaranteed that the maximal possible risk of organism that can be obtained from the given organism is strictly smaller than <span class=\"tex-span\">2<sup class=\"upper-index\">31</sup></span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output the number of organisms that can be obtained from the base one and which have the total risk of disease occurence not greater than <span class=\"tex-span\"><i>T</i></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5 3 13<br />BACAC<br />4 1 2<br />1 2 3<br />2 3 4<br />3 4 10<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>5<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>Explanation: one can obtain the following organisms (risks are stated in brackets): BACAC (11), ACAC (10), BAA (5), B (6), AA 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:29</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='558ab1a7f09bc5c6200b881abd515673'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n 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Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div 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class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New 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href=\"/profile/KADR\">KADR</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/KADR\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/KADR\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/KADR\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/KADR\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/KADR\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/KADR\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/KADR\" style=\"text-decoration:none;color:black !important;\">KADR's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1712\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1712\"> All-Ukrainian School Olympiad in Informatics: editorial (A,B,C,D,E,F)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a>,\r\n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div>The editorial is now completed.</div><div><br /></div><div><div><b>Problem A: Gift (Roman Iedemskyi)</b></div><div><br /></div><div>Suppose that the pair <span class=\"tex-span\">(<i>A</i>, <i>B</i>)</span> is an optimal solution, where <span class=\"tex-span\"><i>A</i></span> is the number of gold coins in a gift and <span class=\"tex-span\"><i>B</i></span> is a number of silver coins. It is easy to see that there exist two (probably equal) indexes <span class=\"tex-span\"><i>i</i></span> and <span class=\"tex-span\"><i>j</i></span> such that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> = <i>A</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>j</i></sub> = <i>B</i></span>. It is true, because in the other case we could decrease either <span class=\"tex-span\"><i>A</i></span> or <span class=\"tex-span\"><i>B</i></span> without changing connectivity of the graph.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> be the graph in which for all <span class=\"tex-span\"><i>i</i></span> the following statement holds: <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/f6a7810c1f985efe671bb157563fc069d097fbce.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> be the weighted graph in which for all edges <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>A</i></span>. For each edge <span class=\"tex-span\"><i>i</i></span> we will assign a weight equal to <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>. Let's find a spanning tree of this graph, which has the property that its maximal edge is minimal possible. It can be shown that for the fixed <span class=\"tex-span\"><i>A</i></span> the minimal value of <span class=\"tex-span\"><i>B</i></span> for which graph <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> is still connected is equal to the weight of the maximal edge in this spanning tree.</div><div><br /></div><div><i>Claim</i>. Minimal spanning tree of a graph has the property that its maximal edge is minimal possible among all spanning trees.</div><div><i>Proof</i>. Let <span class=\"tex-span\"><i>L</i></span> be the minimal spanning tree of a graph. Suppose there exists a spanning tree <span class=\"tex-span\"><i>P</i></span> in which all edges have smaller weight than the weight of the maximal edge of <span class=\"tex-span\"><i>L</i></span>. We can then remove the maximal edge from <span class=\"tex-span\"><i>L</i></span> and add some edge from <span class=\"tex-span\"><i>P</i></span> to it which will connect the graph back. After that <span class=\"tex-span\"><i>L</i></span> will have strictly smaller weight, which is impossible because it is a minimal spanning tree.</div><div><br /></div><div>Let's sort all edges of the graph in ascending order of <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>. Then the edges of graph <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> for the fixed <span class=\"tex-span\"><i>i</i></span> will be all edges with indexes <span class=\"tex-span\"><i>j</i> ≤ <i>i</i></span>.</div><div><br /></div><div>Suppose that for some value of <span class=\"tex-span\"><i>i</i></span> we have already found minimal spanning tree in every connected component of the graph <span class=\"tex-span\"><i>T</i>(<i>g</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Let's add an edge with index <span class=\"tex-span\"><i>i</i> + 1</span> into it. If it connects two different components, then after this operation they will be merged into one big component and it is obviously that the spanning tree we have in it is the minimal spanning tree. If <span class=\"tex-span\"><i>i</i> + 1</span>-th edge connects two vertices from the same connected component, then it will create exactly one cycle in the graph. We can find the maximal edge in this cycle and remove it from the graph. It can be proven that the remaining tree will be the minimal spanning tree of this connected component.</div><div><br /></div><div>We can perform the search of the maximal edge in a cycle as well as the insertion and removal of the edges in O(N). The total complexity is <span class=\"tex-span\"><i>O</i>(<i>NM</i> + <i>MlogM</i>)</span>.</div></div><div><br /></div><div><div><b>Problem B: Mice (Roman Rizvanov)</b></div><div><br /></div><div>It is easy to see that the number of closest pieces of cheese for each mouse is not greater than 2.</div><div><br /></div><div>Let's find the closest pieces of cheese for each mouse to the left and to the right from it. From two directions we will choose the one which gives us shorter way to cheese or both of them if their lengths are equal. If on the chosen way between the mouse and the cheese stands another mouse, then we should exclude this way from consideration, because another mouse will get to the cheese faster. Now all the directions lead to cheese and for each piece of cheese there is at most one mouse which can potentially eat it from each direction.</div><div><br /></div><div>We will process mice from left to right. If the current mouse can move left and the cheese to the left of it is not chosen by any other mouse or it is chosen by a mouse with the same distance to it, then the current mouse can move to the left and eat this piece of cheese without interfering with other mice. This choice will not affect any choices of the next mice, because only one mouse can go to this piece of cheese from the right (see previous paragraph). Thus, this choice can not decrease the answer. In all other cases the current mouse can not increase the answer by moving left, so it should move to the right if it has such opportunity.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(<i>N</i> + <i>M</i>)</span>.</div><div><br /></div><div>This problem can be also solved using dynamic programming.</div></div><div><br /></div><div><b>Problem C: Mutation (Iaroslav Tverdokhlib)</b></div><div><br /></div><div><div>In the editorial we will replace terms "risk", "genome" and "gene" with "cost", "string" and "character", respectively. Let <span class=\"tex-span\"><i>S</i></span> be the starting string.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>M</i></span> be the bitmask of chars which will be removed. Let's iterate over all possible values of <span class=\"tex-span\"><i>M</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we need to find a cost of the string, which remained after removal of <span class=\"tex-span\"><i>M</i></span> and if this cost doesn't exceed <span class=\"tex-span\"><i>T</i></span> we will increase the answer by 1. Naive implementation of this idea has the complexity <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>N</i>)</span>.</div><div><br /></div><div>We can not get rid of iterating over all <span class=\"tex-span\"><i>M</i></span>, so we will try to optimize a part of the algorithm which finds a cost of the remaining string.</div><div><br /></div><div>Let's take two indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> from the beginning string <span class=\"tex-span\"><i>l</i> < <i>r</i></span>. Let <span class=\"tex-span\"><i>M</i>'</span> be the bitmask of all characters which are located strictly between them. It is obviously that if <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7b04066e365590d0dc24c90dfc15aabd64c75339.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/3880b6b45cb2a0ccd5ea51b69f020c9e5a9f7fa1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string. Hence for the fixed <span class=\"tex-span\"><i>l</i></span> there are not more than <span class=\"tex-span\"><i>K</i></span> possible candidates for <span class=\"tex-span\"><i>r</i></span>, which means that there are <span class=\"tex-span\"><i>O</i>(<i>NK</i>)</span> pairs of such potential neighbours. We will call such pairs "good".</div><div><br /></div><div>We want to find out what form should have the set <span class=\"tex-span\"><i>M</i></span> that after its removal indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> became adjacent. It is easy to see that the following two conditions should be true:</div><div><br /></div><div>1. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/07de7c5bc68bc92d118ada183dab5d78f5c631c4.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div>2. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7fa1a37ebb11a92726d78e30e0ad17ffda729919.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Let's iterate over all good pairs of <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find the set <span class=\"tex-span\"><i>M</i>'</span>. For each triple <span class=\"tex-span\">(<i>a</i>, <i>b</i>, <i>P</i>)</span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>l</i></sub> = <i>a</i></span>, <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>r</i></sub> = <i>b</i></span>, <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. After that for the fixed <span class=\"tex-span\"><i>M</i></span> we will iterate over all pairs of characters <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> and its subsets <span class=\"tex-span\"><i>P</i></span> and add all their costs together. Also we need to add the cost of removal of <span class=\"tex-span\"><i>M</i></span> and the resulting sum will be the cost of the string which will left after removal of <span class=\"tex-span\"><i>M</i></span>. The complexity of such solution is <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> * <i>K</i><sup class=\"upper-index\">2</sup> + <i>NK</i>)</span>.</div><div><br /></div><div>We will optimize the previous solution by decreasing a factor near <span class=\"tex-span\">3<sup class=\"upper-index\"><i>K</i></sup></span>. Let's look at the following (incorrect) algorithm:</div><div><br /></div><div>We will iterate over all good pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find <span class=\"tex-span\"><i>M</i>'</span>. Let's create an array <span class=\"tex-span\"><i>v</i></span> in which for each mask <span class=\"tex-span\"><i>P</i></span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we will find a sum of all values from <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>M</i></span>, then add the cost of removal of <span class=\"tex-span\"><i>M</i></span> to it and the resulting sum will be the cost of the remaining string.</div><div><br /></div><div>This algorithm is incorrect, because some costs of neighborhood are added to the total cost, but in fact the respective <span class=\"tex-span\"><i>l</i></span> or <span class=\"tex-span\"><i>r</i></span> are removed. Let's use inclusion-exclusion principle and make the following at the phase of filling array <span class=\"tex-span\"><i>v</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>v</i>[<i>M</i>'] + = <i>cost</i></span></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4d392e8baa2755f671b67077d5ad638a2818e1c.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/0939a5ad00766ddcedb4465081c7dc8c63f0dd22.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/872ba326de38444a17ace78f749a43a3e1eff1d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>With such filling of <span class=\"tex-span\"><i>v</i></span> the algorithm described above is correct and the total complexity becomes <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> + <i>NK</i>)</span>.</div><div><br /></div><div>This is still not enough for the full solution, but we are almost there. We only need to find a fast way of finding the sum of the values of <span class=\"tex-span\"><i>v</i></span> for all submasks of all masks <span class=\"tex-span\"><i>M</i></span>. We will use the following iterative algorithm for this purpose:</div><div><br /></div><div>Before the first iteration we have an array <span class=\"tex-span\"><i>v</i></span> in which the starting values are stored. After iteration with number <span class=\"tex-span\"><i>i</i></span> in <span class=\"tex-span\"><i>v</i>[<i>mask</i>]</span> we will store the sum of all the values from the original array <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>mask</i></span> for which the first <span class=\"tex-span\"><i>K</i> - <i>i</i></span> bits are equal to the respective bits of <span class=\"tex-span\"><i>mask</i></span>. On iteration with number <span class=\"tex-span\"><i>i</i></span> for all masks in which the <span class=\"tex-span\"><i>i</i></span>-th bit is equal to 1 (bits are numbered from 1) we will perform the following: <span class=\"tex-span\"><i>v</i>[<i>mask</i>] + = <i>v</i>[<i>mask</i>\\{<i>i</i>}]</span>. It is easy to see that after the <span class=\"tex-span\"><i>K</i></span>-th iteration of this algorithm we will have the values we were looking for in array <span class=\"tex-span\"><i>v</i></span>.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>K</i> + <i>NK</i>)</span>.</div></div><div><br /></div><div><b>Problem D: Plus and XOR (Daniel Neiter)</b></div><div><br /></div><div>Let's take a look at some bit in X, which is equal to 1. If the respective bit in Y is equal to 0, then we can swap these two bits, thus reducing X and increasing Y without changing their sum and xor. We can conclude that if some bit in X is equal to 1 then the respective bit in Y is also equal to 1. Thus, <span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span>. Taking into account that <span class=\"tex-span\"><i>X</i> + <i>Y</i> = <i>X</i> + <i>X</i> + <i>B</i> = <i>A</i>, </span> we can obtain the following formulas for finding <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>X</i> = (<i>A</i> - <i>B</i>) / 2</span></div><div><span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span></div><div><div><br /></div><div>One should also notice that if <span class=\"tex-span\"><i>A</i> < <i>B</i></span> or <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have different parity, then the answer doesn't exist and we should output -1. If <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-span\"><i>and</i></span> <span class=\"tex-span\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span> then the answer is also -1.</div></div><div><br /></div><div><b>Problem E: Points (Daniel Neiter)</b></div><div><b><br /></b></div><div>Let's regroup summands and split the sum of squares of distances we are looking for into two sums:</div><div><b><br /></b></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/6e7ca6f50695e36ea199c3704ebb7574c4bfc029.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4a6a53d2cb6e9458620cc0b964c69f610df6601.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Now we need to rewrite each of these sums in the following way (it will be shown for the first sum):</div><div><br /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/ce7d437559ce56c7602146506aaec7f5b8f5920b.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/14de3bd836c0e823801f884a115983ff447988b5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>This formula allows us to find an answer in one pass through the array. The complexity is O(N).</div><div><br /></div><div><div><b>Problem F: Tourist (Ilya Porublyov)</b></div><div><br /></div><div>We can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if the following statements are true:</div><div><br /></div><div><ul><li><span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>t</i><sub class=\"lower-index\"><i>j</i></sub></span><br /></li><li><span class=\"tex-span\">|<i>x</i><sub class=\"lower-index\"><i>i</i></sub> - <i>x</i><sub class=\"lower-index\"><i>j</i></sub>| ≤ |<i>t</i><sub class=\"lower-index\"><i>i</i></sub> - <i>t</i><sub class=\"lower-index\"><i>j</i></sub>|· <i>V</i></span><br /></li></ul></div><div>We can represent all the events as points on a plane with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Now we can reformulate the two statements written above in the following way:<br /></div><div><br /></div><div>From the event <span class=\"tex-span\"><i>i</i></span> we can get to the event <span class=\"tex-span\"><i>j</i></span> if the point <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>j</i></sub>, <i>t</i><sub class=\"lower-index\"><i>j</i></sub>)</span> lise inside an angle pointed to the top with its vertex in <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> and its sides form an angle <span class=\"tex-span\"><i>arctg</i>(<i>V</i>)</span> with vertical axis. Let's make coordinate transformation according to which the point with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will transform into the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span>, where</div><div><span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> = - <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> = <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><br /></div><div>Now we can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> и <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. Let's sort all points in ascending order of <span class=\"tex-span\"><i>p</i></span>. If several points have the same <span class=\"tex-span\"><i>p</i></span> we will sort them by <span class=\"tex-span\"><i>q</i></span>. The second subproblem of our problem can be solved by finding a longest increasing subsequence by <span class=\"tex-span\"><i>q</i></span> in this array. It can be done in <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div><div><br /></div><div>To solve the first subproblem we can add dummy event with coordinate 0 and time 0 (if it is not present in our set of events yet) and force tourist's start from it.</div><div><br /></div><div>The total complexity if <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/76\" class=\"notice\" style=\"text-decoration: none;\">All-Ukrainian School Olympiad in Informatics</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-996-1712\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"996\",\n blogEntryId: \"1712\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=uoi2011\" class=\"tag notice\" style=\"text-decoration: none;\">uoi2011</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+30</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/KADR\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/KADR\">\n KADR\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1712#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1712#comments\">\n 24\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1722\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (22)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32624\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/wil93\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14356/avatar/897f1996dfb7343b.jpg'/> </a>\n <div><a href=\"/profile/wil93\" title=\"Expert wil93\" class=\"rated-user user-blue\">wil93</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/12/2011 23:20\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32624\" href=\"?#comment-32624\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32624\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"14356\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32624\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks very much, I think E's solution is genial. I understood it now, but it would be very difficult for me to come out with a similar thought :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32624 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32624 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32624\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33014\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 16:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33014\" href=\"?#comment-33014\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33014\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33014\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33014\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Hi,<br /><br />I would like to ask about problem F. Is there a particular reason why you sort by p first before you sort by q? If not, will sorting by q and then by p for tiebreak change the solution? If not, may I know if you can prove so? I can understand how you make the transformation and why the transformation is correct, but I am not convinced that you can get the optimal solution just by sorting and finding the LIS (Do you mean the longest non-decreasing subsequence? From what I understand, I think you first label the vertices according to the time when they appear. If they appear at the same time, then they have the same label.) Can you please give a proof or explanation why it works?<br /><br />Thanks in advance!</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33014 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33014 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33014\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33025\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33025\" href=\"?#comment-33025\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33025\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33025\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33025\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">If some two events have the same time then it is impossible to visit them both, so we are not interested in their relative order in the sorted array (after performing the transformation).<div><br /></div><div>After the transformation we can get from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> to the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>j</i></sub>, <i>q</i><sub class=\"lower-index\"><i>j</i></sub>)</span> iff <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> and <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. After performing the sorting described in the editorial all points reachable from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will have greater indexes in the array. This automatically means that the sequence will be non-decreasing by <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub></span>, so we only need to care about <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span>. The longest non-decreasing sequence by <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span> is the sequence we are looking for.</div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33025 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33025 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33025\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33026\" commentParentId=\"33025\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33026\" href=\"?#comment-33026\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33025\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33026\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33026\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Oh, that makes sense now. Thanks!</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33026 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33026 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33026\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503943\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 07:51\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503943\" href=\"?#comment-503943\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503943\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503943\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hi,</p><p><code>Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj. Let's sort all points in ascending order of p. If several points have the same p we will sort them by q.</code> Can you please explain it for me?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503943 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503943 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503943\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503965\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:02\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503965\" href=\"?#comment-503965\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503965\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503965\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>What do you want to be explained? Why "Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj."? Or what "If several points have the same p we will sort them by q." mean? Or what?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503965 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503965 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503965\">\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503976\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:48\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503976\" href=\"?#comment-503976\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503976\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503976\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p><a href=\"https://drive.google.com/file/d/1fwCssJgSTEJ5ic4AzHjhQBQnrypuQkYm/view?usp=sharing\">Here</a> is more detailed tutorial. It's in Ukrainian, but you can Google-translate it (result is poor, but some things are still correct) and look at figures and equations.</p><p>I CAN try to reply on more concrete questions, but I don't want to translate the whole text...</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503976 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503976 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503976\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503980\" commentParentId=\"503976\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 13:17\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503980\" href=\"?#comment-503980\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503976\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503980\" revisionCount=\"4\" revision=\"4\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">4</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503980\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503980\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Well, What are the significances of p, q axes and angle arctg(v)? What do they represent?</p><p>What I understand before, as I mentioned in another comment's reply was as below: to go to j from i: <code>abs(xj - xi) / tj - ti <= v</code> so, </p><p><code>xj + v*tj >= xi + ti*v</code> and <code>-xi + v*ti >= -xj + v*t</code> </p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503980 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503980 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503980\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503987\" commentParentId=\"503980\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 15:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503987\" href=\"?#comment-503987\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503980\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503987\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503987\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Axis $$$p$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${-}v$$$), i.e.maximal by absolute value and directed to left. Its positive ray is the left-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system. Similarly, $$$q$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${+}v$$$), i.e. maximal by absolute value and directed to right; its positive ray is the right-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system.</p><p>It's not very obvious to look at these axes... But, from other hand, it's not unnatural: we need some effective checking of where the tourist can get in time and where he cannot, so let's try: what, if we'll consider borders of the "reachable-in-time" area as coordinate axes?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503987 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503987 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503987\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503991\" commentParentId=\"503987\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 16:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503991\" href=\"?#comment-503991\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503987\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503991\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503991\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503991\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I hope this is my last query:</p><p>If tourist needs to go from i to j where xi > xj, that time the velocity is negative. Right? And, the velocity can not be positive and negative at a time,</p><p>But why do we check</p> <pre><code>pi < pj and qi < qj ?\n</code></pre><p>Why not </p> <pre><code>pi < pj or qi < qj?\n</code></pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503991 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503991 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503991\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"504027\" commentParentId=\"503991\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 22:22\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-504027\" href=\"?#comment-504027\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503991\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"504027\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-504027\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>The axis directed from bottom to top is $$$t$$$ (time). The tourist cannot travel in time as he wants and/or change time flow direction. All what he can is to choose </p> <ol> <li><p>whether to stay at place with zero velocity (= move in direction of $$$t$$$, which is exactly in the middle between positive direction of $$$p$$$ and positive direction of $$$q$$$);</p></li> <li><p>or to move with velocity ($$$-v$$$), negative and maximal by absolute value, which is exactly positive direction of $$$p$$$;</p></li> <li><p>or to move with velocity ($$$+v$$$), positive and maximal by absolute value, which is exactly positive direction of $$$q$$$;</p></li> <li><p>or to move with velocity $$$0<w<v$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is bigger that $$$p$$$-projection; in other words, $$$0<w<v$$$ corresponds to $$$0<p<q$$$;</p></li> <li><p>or to move with velocity $$$-v<w<0$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is smaller that $$$p$$$-projection; in other words, $$$-v<w<0$$$ corresponds to $$$0<q<p$$$;</p></li> </ol><p>Whereas $$$(q_i > q_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$-\\infty\\leq w < -v$$$, or even moving in reverse direction of time. Similarly, $$$(p_i > p_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$v<w\\leq\\infty$$$, or even moving in reverse direction of time. So, it's required to have <strong>both</strong> $$$(p_i\\leq p_j)$$$ <strong>and</strong> $$$(q_i\\leq q_j)$$$</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-504027 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-504027 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-504027\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33574\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/vinhthinhho\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/17649/avatar/4e3c7559e46fc48.jpg'/> </a>\n <div><a href=\"/profile/vinhthinhho\" title=\"Candidate Master vinhthinhho\" class=\"rated-user user-violet\">vinhthinhho</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/19/2011 11:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33574\" href=\"?#comment-33574\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33574\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"17649\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33574\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>i dont understand the transformation of (xi,ti), how does it work??? can anyone tell me the answer?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33574 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33574 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33574\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37642\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Master_Chivu\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Master_Chivu\" title=\"Unrated, Master_Chivu\" class=\"rated-user user-black\">Master_Chivu</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37642\" href=\"?#comment-37642\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37642\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7062\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37642\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">"It is obsiously that if <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/5c/f4/5cf424ac693f1a0c89b939d7a6e6f6ada6700077.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/72/41/7241691bc12db2fb46351355cdd678dfea1703d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string."<br />What is "P"?<br />It seems that "P" hasn't been metioned before.<br />I really cannot understand this sentence.<br />And may "absiously" means "abviously"?<br /><br /></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37642 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37642 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37642\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37653\" commentParentId=\"37642\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37653\" href=\"?#comment-37653\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-37642\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37653\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37653\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It was a typo. "Obsiously" should be, of course, "obviously".<div><br /></div><div>Also I occasionally used P instead of M'. It is fixed now, thanks for pointing this out.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37653 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37653 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37653\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39030\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39030\" href=\"?#comment-39030\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39030\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39030\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D is right?</p> <p>I doubts it, for expleam, A=14 and B=4 </p> <p>then X=(14-4)/2=5 Y=5+4=9</p> <p>and A>B and <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have some parity and A-X=Y<br /><br />but X^Y=5^9=12 <br />This is my doubts. And I think (A-B)/2=X&Y .<br />But I don't know the specific X and Y values</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39030 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39030 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39030\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39031\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:29\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39031\" href=\"?#comment-39031\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39031\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39031\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Quote from the editorial:<div><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">"If</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>and</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">then the answer is also -1."</span><br /></div><div>Here X=5 and A-X=9. 5 and 9 = 1, which is not equal to 5. So the answer is -1 here.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39031 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39031 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39031\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39038\" commentParentId=\"39031\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:42\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39038\" href=\"?#comment-39038\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39031\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39038\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39038\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I was wrong, <br /><span style=\"LINE-HEIGHT: 20.0px;FONT-FAMILY: verdana , arial , sans-serif;FONT-SIZE: 12.0px;\"><span class=\"tex-span\" style=\"FONT-FAMILY: "times new roman";FONT-SIZE: 15.0px;\"><i>and is &</i></span></span><br /><br />But I saw many wrong program still through the test,<br /><br />and thank you very much for your patience solutions</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39038 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39038 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39038\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39034\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:35\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39034\" href=\"?#comment-39034\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39034\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39034\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I'm sorry, X is smallest, but I'm think if the answer doesn't exist, should add a condition: X^Y=B</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39034 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39034 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39034\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"422212\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/stringray\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/575608/avatar/2902babcf56868a2.jpg'/> </a>\n <div><a href=\"/profile/stringray\" title=\"Expert stringray\" class=\"rated-user user-blue\">stringray</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/27/2018 21:44\">6 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-422212\" href=\"?#comment-422212\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"422212\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"575608\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-422212\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Can someone explain the question Gift in this question it is asking for the minimum coins such that every road's gold coin and silver coin constraints are satisfied then if (A,B) is a valid solution then we can make A=infinite and B=infinite so that there will be always a solution also won't A=max(all gi's) and B=max(all si's ) where gi=minimum gold coins for ith road and si=minimum silver coins for ith road (this is what i have understood from the question can anyone tell what's wrong in my understanding )?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-422212 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-422212 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-422212\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"517643\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Newtech66\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/748716/avatar/ba5b7d94e0bd5415.jpg'/> </a>\n <div><a href=\"/profile/Newtech66\" title=\"Expert Newtech66\" class=\"rated-user user-blue\">Newtech66</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/10/2019 13:51\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-517643\" href=\"?#comment-517643\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"517643\" class=\"CommentVoteFrame\"\r\n class=\"negative-comment-vote\"\r\n data-commentRating=\"-10\"\r\n data-commentUserId=\"748716\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-10</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-517643\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D has weak testcases. My solution gets AC despite giving an incorrect answer on the testcase '10 6'.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-517643 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-517643 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-517643\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"537992\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/memento\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/852933/avatar/950578c1b4afd9dc.jpg'/> </a>\n <div><a href=\"/profile/memento\" title=\"Expert memento\" class=\"rated-user user-blue\">memento</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Aug/24/2019 21:32\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-537992\" href=\"?#comment-537992\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"537992\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"852933\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-537992\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Shit. This was 8 years ago.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-537992 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-537992 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-537992\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"763848\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/vishaaaal\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443354/avatar/25a2dd924894eeeb.jpg'/> </a>\n <div><a href=\"/profile/vishaaaal\" title=\"Expert vishaaaal\" class=\"rated-user user-blue\">vishaaaal</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/20/2021 12:42\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-763848\" href=\"?#comment-763848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"763848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443354\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-763848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>How to solve A without MST??</p> <div class=\"spoiler\"><b class=\"spoiler-title\">Here's my approach</b><div class=\"spoiler-content\" style=\"display: none;\"><p>Let us consider two cities $$$a$$$ and $$$b$$$. We use <em>dfs</em> to calculate the minimum amount of tugriks required for travelling from $$$a$$$ to $$$b$$$. And the answer will be maximum of such value among all pairs of cities.</p><p>The problem is, I think that calculation of this value requires to use Dynamic Programming. Any hints on that??</p></div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-763848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-763848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-763848\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1722\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: 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Plus and xor"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Plus and xor</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>0.5 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary digit of the result is equal to 1 if and only if bits on the respective positions in the operands are different.</p><p>For example, if <span class=\"tex-span\"><i>X</i> = 109<sub class=\"lower-index\">10</sub> = 1101101<sub class=\"lower-index\">2</sub></span>, <span class=\"tex-span\"><i>Y</i> = 41<sub class=\"lower-index\">10</sub> = 101001<sub class=\"lower-index\">2</sub></span>, then: </p><center> <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-font-style-tt\">xor</span> <span class=\"tex-span\"><i>Y</i> = 68<sub class=\"lower-index\">10</sub> = 1000100<sub class=\"lower-index\">2</sub></span>. </center><p>Write a program, which takes two non-negative integers <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> as an input and finds two non-negative integers <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>, which satisfy the following conditions: </p><ul> <li> <span class=\"tex-span\"><i>A</i> = <i>X</i> + <i>Y</i></span> </li><li> <span class=\"tex-span\"><i>B</i> = <i>X</i></span> <span class=\"tex-font-style-tt\">xor</span> <span class=\"tex-span\"><i>Y</i></span>, where <span class=\"tex-font-style-tt\">xor</span> is bitwise exclusive or. </li><li> <span class=\"tex-span\"><i>X</i></span> is the smallest number among all numbers for which the first two conditions are true. </li></ul></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer number <span class=\"tex-span\"><i>A</i></span> and the second line contains integer number <span class=\"tex-span\"><i>B</i></span> (<span class=\"tex-span\">0 ≤ <i>A</i>, <i>B</i> ≤ 2<sup class=\"upper-index\">64</sup> - 1</span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only output line should contain two integer non-negative numbers <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>. Print the only number <span class=\"tex-font-style-tt\">-1</span> if there is no answer.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>142<br/>76<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>33 109<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"2348e24a9764cf74d5e1720374a19f07\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - D - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"082aec557c4be1a19e98b0bfc72b3335be5aa92b\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - D - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/76/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Dynamic programming\">\r\n dp\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Greedy algorithms\">\r\n greedy\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Mathematics including integration, differential equations, etc\">\r\n math\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1700\r\n</span>\r\n 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class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"D\" data-uuid=\"ps_ae5e73d1bce82b4157a6af0b875e419d720fee96\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Plus and xor</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>0.5 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary digit of the result is equal to 1 if and only if bits on the respective positions in the operands are different.</p><p>For example, if <span class=\"tex-span\"><i>X</i> = 109<sub class=\"lower-index\">10</sub> = 1101101<sub class=\"lower-index\">2</sub></span>, <span class=\"tex-span\"><i>Y</i> = 41<sub class=\"lower-index\">10</sub> = 101001<sub class=\"lower-index\">2</sub></span>, then: </p><center> <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-font-style-tt\">xor</span> <span class=\"tex-span\"><i>Y</i> = 68<sub class=\"lower-index\">10</sub> = 1000100<sub class=\"lower-index\">2</sub></span>. </center><p>Write a program, which takes two non-negative integers <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> as an input and finds two non-negative integers <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>, which satisfy the following conditions: </p><ul> <li> <span class=\"tex-span\"><i>A</i> = <i>X</i> + <i>Y</i></span> </li><li> <span class=\"tex-span\"><i>B</i> = <i>X</i></span> <span class=\"tex-font-style-tt\">xor</span> <span class=\"tex-span\"><i>Y</i></span>, where <span class=\"tex-font-style-tt\">xor</span> is bitwise exclusive or. </li><li> <span class=\"tex-span\"><i>X</i></span> is the smallest number among all numbers for which the first two conditions are true. </li></ul></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer number <span class=\"tex-span\"><i>A</i></span> and the second line contains integer number <span class=\"tex-span\"><i>B</i></span> (<span class=\"tex-span\">0 ≤ <i>A</i>, <i>B</i> ≤ 2<sup class=\"upper-index\">64</sup> - 1</span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only output line should contain two integer non-negative numbers <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>. Print the only number <span class=\"tex-font-style-tt\">-1</span> if there is no answer.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>142<br />76<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>33 109<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=D]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n $problem.find(\".diff-notifier-close\").click(function() {\r\n Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: 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class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='558ab1a7f09bc5c6200b881abd515673'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" 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href=\"/profile/KADR\">KADR</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/KADR\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/KADR\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/KADR\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/KADR\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/KADR\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/KADR\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/KADR\" style=\"text-decoration:none;color:black !important;\">KADR's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1712\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1712\"> All-Ukrainian School Olympiad in Informatics: editorial (A,B,C,D,E,F)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a>,\r\n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div>The editorial is now completed.</div><div><br /></div><div><div><b>Problem A: Gift (Roman Iedemskyi)</b></div><div><br /></div><div>Suppose that the pair <span class=\"tex-span\">(<i>A</i>, <i>B</i>)</span> is an optimal solution, where <span class=\"tex-span\"><i>A</i></span> is the number of gold coins in a gift and <span class=\"tex-span\"><i>B</i></span> is a number of silver coins. It is easy to see that there exist two (probably equal) indexes <span class=\"tex-span\"><i>i</i></span> and <span class=\"tex-span\"><i>j</i></span> such that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> = <i>A</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>j</i></sub> = <i>B</i></span>. It is true, because in the other case we could decrease either <span class=\"tex-span\"><i>A</i></span> or <span class=\"tex-span\"><i>B</i></span> without changing connectivity of the graph.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> be the graph in which for all <span class=\"tex-span\"><i>i</i></span> the following statement holds: <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/f6a7810c1f985efe671bb157563fc069d097fbce.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> be the weighted graph in which for all edges <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>A</i></span>. For each edge <span class=\"tex-span\"><i>i</i></span> we will assign a weight equal to <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>. Let's find a spanning tree of this graph, which has the property that its maximal edge is minimal possible. It can be shown that for the fixed <span class=\"tex-span\"><i>A</i></span> the minimal value of <span class=\"tex-span\"><i>B</i></span> for which graph <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> is still connected is equal to the weight of the maximal edge in this spanning tree.</div><div><br /></div><div><i>Claim</i>. Minimal spanning tree of a graph has the property that its maximal edge is minimal possible among all spanning trees.</div><div><i>Proof</i>. Let <span class=\"tex-span\"><i>L</i></span> be the minimal spanning tree of a graph. Suppose there exists a spanning tree <span class=\"tex-span\"><i>P</i></span> in which all edges have smaller weight than the weight of the maximal edge of <span class=\"tex-span\"><i>L</i></span>. We can then remove the maximal edge from <span class=\"tex-span\"><i>L</i></span> and add some edge from <span class=\"tex-span\"><i>P</i></span> to it which will connect the graph back. After that <span class=\"tex-span\"><i>L</i></span> will have strictly smaller weight, which is impossible because it is a minimal spanning tree.</div><div><br /></div><div>Let's sort all edges of the graph in ascending order of <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>. Then the edges of graph <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> for the fixed <span class=\"tex-span\"><i>i</i></span> will be all edges with indexes <span class=\"tex-span\"><i>j</i> ≤ <i>i</i></span>.</div><div><br /></div><div>Suppose that for some value of <span class=\"tex-span\"><i>i</i></span> we have already found minimal spanning tree in every connected component of the graph <span class=\"tex-span\"><i>T</i>(<i>g</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Let's add an edge with index <span class=\"tex-span\"><i>i</i> + 1</span> into it. If it connects two different components, then after this operation they will be merged into one big component and it is obviously that the spanning tree we have in it is the minimal spanning tree. If <span class=\"tex-span\"><i>i</i> + 1</span>-th edge connects two vertices from the same connected component, then it will create exactly one cycle in the graph. We can find the maximal edge in this cycle and remove it from the graph. It can be proven that the remaining tree will be the minimal spanning tree of this connected component.</div><div><br /></div><div>We can perform the search of the maximal edge in a cycle as well as the insertion and removal of the edges in O(N). The total complexity is <span class=\"tex-span\"><i>O</i>(<i>NM</i> + <i>MlogM</i>)</span>.</div></div><div><br /></div><div><div><b>Problem B: Mice (Roman Rizvanov)</b></div><div><br /></div><div>It is easy to see that the number of closest pieces of cheese for each mouse is not greater than 2.</div><div><br /></div><div>Let's find the closest pieces of cheese for each mouse to the left and to the right from it. From two directions we will choose the one which gives us shorter way to cheese or both of them if their lengths are equal. If on the chosen way between the mouse and the cheese stands another mouse, then we should exclude this way from consideration, because another mouse will get to the cheese faster. Now all the directions lead to cheese and for each piece of cheese there is at most one mouse which can potentially eat it from each direction.</div><div><br /></div><div>We will process mice from left to right. If the current mouse can move left and the cheese to the left of it is not chosen by any other mouse or it is chosen by a mouse with the same distance to it, then the current mouse can move to the left and eat this piece of cheese without interfering with other mice. This choice will not affect any choices of the next mice, because only one mouse can go to this piece of cheese from the right (see previous paragraph). Thus, this choice can not decrease the answer. In all other cases the current mouse can not increase the answer by moving left, so it should move to the right if it has such opportunity.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(<i>N</i> + <i>M</i>)</span>.</div><div><br /></div><div>This problem can be also solved using dynamic programming.</div></div><div><br /></div><div><b>Problem C: Mutation (Iaroslav Tverdokhlib)</b></div><div><br /></div><div><div>In the editorial we will replace terms "risk", "genome" and "gene" with "cost", "string" and "character", respectively. Let <span class=\"tex-span\"><i>S</i></span> be the starting string.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>M</i></span> be the bitmask of chars which will be removed. Let's iterate over all possible values of <span class=\"tex-span\"><i>M</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we need to find a cost of the string, which remained after removal of <span class=\"tex-span\"><i>M</i></span> and if this cost doesn't exceed <span class=\"tex-span\"><i>T</i></span> we will increase the answer by 1. Naive implementation of this idea has the complexity <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>N</i>)</span>.</div><div><br /></div><div>We can not get rid of iterating over all <span class=\"tex-span\"><i>M</i></span>, so we will try to optimize a part of the algorithm which finds a cost of the remaining string.</div><div><br /></div><div>Let's take two indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> from the beginning string <span class=\"tex-span\"><i>l</i> < <i>r</i></span>. Let <span class=\"tex-span\"><i>M</i>'</span> be the bitmask of all characters which are located strictly between them. It is obviously that if <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7b04066e365590d0dc24c90dfc15aabd64c75339.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/3880b6b45cb2a0ccd5ea51b69f020c9e5a9f7fa1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string. Hence for the fixed <span class=\"tex-span\"><i>l</i></span> there are not more than <span class=\"tex-span\"><i>K</i></span> possible candidates for <span class=\"tex-span\"><i>r</i></span>, which means that there are <span class=\"tex-span\"><i>O</i>(<i>NK</i>)</span> pairs of such potential neighbours. We will call such pairs "good".</div><div><br /></div><div>We want to find out what form should have the set <span class=\"tex-span\"><i>M</i></span> that after its removal indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> became adjacent. It is easy to see that the following two conditions should be true:</div><div><br /></div><div>1. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/07de7c5bc68bc92d118ada183dab5d78f5c631c4.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div>2. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7fa1a37ebb11a92726d78e30e0ad17ffda729919.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Let's iterate over all good pairs of <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find the set <span class=\"tex-span\"><i>M</i>'</span>. For each triple <span class=\"tex-span\">(<i>a</i>, <i>b</i>, <i>P</i>)</span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>l</i></sub> = <i>a</i></span>, <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>r</i></sub> = <i>b</i></span>, <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. After that for the fixed <span class=\"tex-span\"><i>M</i></span> we will iterate over all pairs of characters <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> and its subsets <span class=\"tex-span\"><i>P</i></span> and add all their costs together. Also we need to add the cost of removal of <span class=\"tex-span\"><i>M</i></span> and the resulting sum will be the cost of the string which will left after removal of <span class=\"tex-span\"><i>M</i></span>. The complexity of such solution is <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> * <i>K</i><sup class=\"upper-index\">2</sup> + <i>NK</i>)</span>.</div><div><br /></div><div>We will optimize the previous solution by decreasing a factor near <span class=\"tex-span\">3<sup class=\"upper-index\"><i>K</i></sup></span>. Let's look at the following (incorrect) algorithm:</div><div><br /></div><div>We will iterate over all good pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find <span class=\"tex-span\"><i>M</i>'</span>. Let's create an array <span class=\"tex-span\"><i>v</i></span> in which for each mask <span class=\"tex-span\"><i>P</i></span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we will find a sum of all values from <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>M</i></span>, then add the cost of removal of <span class=\"tex-span\"><i>M</i></span> to it and the resulting sum will be the cost of the remaining string.</div><div><br /></div><div>This algorithm is incorrect, because some costs of neighborhood are added to the total cost, but in fact the respective <span class=\"tex-span\"><i>l</i></span> or <span class=\"tex-span\"><i>r</i></span> are removed. Let's use inclusion-exclusion principle and make the following at the phase of filling array <span class=\"tex-span\"><i>v</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>v</i>[<i>M</i>'] + = <i>cost</i></span></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4d392e8baa2755f671b67077d5ad638a2818e1c.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/0939a5ad00766ddcedb4465081c7dc8c63f0dd22.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/872ba326de38444a17ace78f749a43a3e1eff1d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>With such filling of <span class=\"tex-span\"><i>v</i></span> the algorithm described above is correct and the total complexity becomes <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> + <i>NK</i>)</span>.</div><div><br /></div><div>This is still not enough for the full solution, but we are almost there. We only need to find a fast way of finding the sum of the values of <span class=\"tex-span\"><i>v</i></span> for all submasks of all masks <span class=\"tex-span\"><i>M</i></span>. We will use the following iterative algorithm for this purpose:</div><div><br /></div><div>Before the first iteration we have an array <span class=\"tex-span\"><i>v</i></span> in which the starting values are stored. After iteration with number <span class=\"tex-span\"><i>i</i></span> in <span class=\"tex-span\"><i>v</i>[<i>mask</i>]</span> we will store the sum of all the values from the original array <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>mask</i></span> for which the first <span class=\"tex-span\"><i>K</i> - <i>i</i></span> bits are equal to the respective bits of <span class=\"tex-span\"><i>mask</i></span>. On iteration with number <span class=\"tex-span\"><i>i</i></span> for all masks in which the <span class=\"tex-span\"><i>i</i></span>-th bit is equal to 1 (bits are numbered from 1) we will perform the following: <span class=\"tex-span\"><i>v</i>[<i>mask</i>] + = <i>v</i>[<i>mask</i>\\{<i>i</i>}]</span>. It is easy to see that after the <span class=\"tex-span\"><i>K</i></span>-th iteration of this algorithm we will have the values we were looking for in array <span class=\"tex-span\"><i>v</i></span>.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>K</i> + <i>NK</i>)</span>.</div></div><div><br /></div><div><b>Problem D: Plus and XOR (Daniel Neiter)</b></div><div><br /></div><div>Let's take a look at some bit in X, which is equal to 1. If the respective bit in Y is equal to 0, then we can swap these two bits, thus reducing X and increasing Y without changing their sum and xor. We can conclude that if some bit in X is equal to 1 then the respective bit in Y is also equal to 1. Thus, <span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span>. Taking into account that <span class=\"tex-span\"><i>X</i> + <i>Y</i> = <i>X</i> + <i>X</i> + <i>B</i> = <i>A</i>, </span> we can obtain the following formulas for finding <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>X</i> = (<i>A</i> - <i>B</i>) / 2</span></div><div><span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span></div><div><div><br /></div><div>One should also notice that if <span class=\"tex-span\"><i>A</i> < <i>B</i></span> or <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have different parity, then the answer doesn't exist and we should output -1. If <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-span\"><i>and</i></span> <span class=\"tex-span\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span> then the answer is also -1.</div></div><div><br /></div><div><b>Problem E: Points (Daniel Neiter)</b></div><div><b><br /></b></div><div>Let's regroup summands and split the sum of squares of distances we are looking for into two sums:</div><div><b><br /></b></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/6e7ca6f50695e36ea199c3704ebb7574c4bfc029.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4a6a53d2cb6e9458620cc0b964c69f610df6601.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Now we need to rewrite each of these sums in the following way (it will be shown for the first sum):</div><div><br /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/ce7d437559ce56c7602146506aaec7f5b8f5920b.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/14de3bd836c0e823801f884a115983ff447988b5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>This formula allows us to find an answer in one pass through the array. The complexity is O(N).</div><div><br /></div><div><div><b>Problem F: Tourist (Ilya Porublyov)</b></div><div><br /></div><div>We can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if the following statements are true:</div><div><br /></div><div><ul><li><span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>t</i><sub class=\"lower-index\"><i>j</i></sub></span><br /></li><li><span class=\"tex-span\">|<i>x</i><sub class=\"lower-index\"><i>i</i></sub> - <i>x</i><sub class=\"lower-index\"><i>j</i></sub>| ≤ |<i>t</i><sub class=\"lower-index\"><i>i</i></sub> - <i>t</i><sub class=\"lower-index\"><i>j</i></sub>|· <i>V</i></span><br /></li></ul></div><div>We can represent all the events as points on a plane with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Now we can reformulate the two statements written above in the following way:<br /></div><div><br /></div><div>From the event <span class=\"tex-span\"><i>i</i></span> we can get to the event <span class=\"tex-span\"><i>j</i></span> if the point <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>j</i></sub>, <i>t</i><sub class=\"lower-index\"><i>j</i></sub>)</span> lise inside an angle pointed to the top with its vertex in <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> and its sides form an angle <span class=\"tex-span\"><i>arctg</i>(<i>V</i>)</span> with vertical axis. Let's make coordinate transformation according to which the point with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will transform into the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span>, where</div><div><span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> = - <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> = <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><br /></div><div>Now we can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> и <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. Let's sort all points in ascending order of <span class=\"tex-span\"><i>p</i></span>. If several points have the same <span class=\"tex-span\"><i>p</i></span> we will sort them by <span class=\"tex-span\"><i>q</i></span>. The second subproblem of our problem can be solved by finding a longest increasing subsequence by <span class=\"tex-span\"><i>q</i></span> in this array. It can be done in <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div><div><br /></div><div>To solve the first subproblem we can add dummy event with coordinate 0 and time 0 (if it is not present in our set of events yet) and force tourist's start from it.</div><div><br /></div><div>The total complexity if <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/76\" class=\"notice\" style=\"text-decoration: none;\">All-Ukrainian School Olympiad in Informatics</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-996-1712\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"996\",\n blogEntryId: \"1712\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=uoi2011\" class=\"tag notice\" style=\"text-decoration: none;\">uoi2011</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+30</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/KADR\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/KADR\">\n KADR\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1712#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1712#comments\">\n 24\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1722\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (22)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32624\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/wil93\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14356/avatar/897f1996dfb7343b.jpg'/> </a>\n <div><a href=\"/profile/wil93\" title=\"Expert wil93\" class=\"rated-user user-blue\">wil93</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/12/2011 23:20\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32624\" href=\"?#comment-32624\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32624\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"14356\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32624\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks very much, I think E's solution is genial. I understood it now, but it would be very difficult for me to come out with a similar thought :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32624 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32624 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32624\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33014\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 16:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33014\" href=\"?#comment-33014\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33014\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33014\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33014\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Hi,<br /><br />I would like to ask about problem F. Is there a particular reason why you sort by p first before you sort by q? If not, will sorting by q and then by p for tiebreak change the solution? If not, may I know if you can prove so? I can understand how you make the transformation and why the transformation is correct, but I am not convinced that you can get the optimal solution just by sorting and finding the LIS (Do you mean the longest non-decreasing subsequence? From what I understand, I think you first label the vertices according to the time when they appear. If they appear at the same time, then they have the same label.) Can you please give a proof or explanation why it works?<br /><br />Thanks in advance!</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33014 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33014 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33014\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33025\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33025\" href=\"?#comment-33025\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33025\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33025\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33025\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">If some two events have the same time then it is impossible to visit them both, so we are not interested in their relative order in the sorted array (after performing the transformation).<div><br /></div><div>After the transformation we can get from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> to the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>j</i></sub>, <i>q</i><sub class=\"lower-index\"><i>j</i></sub>)</span> iff <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> and <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. After performing the sorting described in the editorial all points reachable from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will have greater indexes in the array. This automatically means that the sequence will be non-decreasing by <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub></span>, so we only need to care about <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span>. The longest non-decreasing sequence by <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span> is the sequence we are looking for.</div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33025 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33025 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33025\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33026\" commentParentId=\"33025\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33026\" href=\"?#comment-33026\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33025\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33026\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33026\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Oh, that makes sense now. Thanks!</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33026 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33026 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33026\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503943\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 07:51\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503943\" href=\"?#comment-503943\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503943\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503943\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hi,</p><p><code>Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj. Let's sort all points in ascending order of p. If several points have the same p we will sort them by q.</code> Can you please explain it for me?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503943 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503943 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503943\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503965\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:02\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503965\" href=\"?#comment-503965\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503965\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503965\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>What do you want to be explained? Why "Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj."? Or what "If several points have the same p we will sort them by q." mean? Or what?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503965 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503965 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503965\">\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503976\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:48\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503976\" href=\"?#comment-503976\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503976\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503976\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p><a href=\"https://drive.google.com/file/d/1fwCssJgSTEJ5ic4AzHjhQBQnrypuQkYm/view?usp=sharing\">Here</a> is more detailed tutorial. It's in Ukrainian, but you can Google-translate it (result is poor, but some things are still correct) and look at figures and equations.</p><p>I CAN try to reply on more concrete questions, but I don't want to translate the whole text...</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503976 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503976 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503976\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503980\" commentParentId=\"503976\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 13:17\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503980\" href=\"?#comment-503980\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503976\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503980\" revisionCount=\"4\" revision=\"4\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">4</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503980\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503980\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Well, What are the significances of p, q axes and angle arctg(v)? What do they represent?</p><p>What I understand before, as I mentioned in another comment's reply was as below: to go to j from i: <code>abs(xj - xi) / tj - ti <= v</code> so, </p><p><code>xj + v*tj >= xi + ti*v</code> and <code>-xi + v*ti >= -xj + v*t</code> </p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503980 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503980 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503980\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503987\" commentParentId=\"503980\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 15:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503987\" href=\"?#comment-503987\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503980\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503987\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503987\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Axis $$$p$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${-}v$$$), i.e.maximal by absolute value and directed to left. Its positive ray is the left-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system. Similarly, $$$q$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${+}v$$$), i.e. maximal by absolute value and directed to right; its positive ray is the right-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system.</p><p>It's not very obvious to look at these axes... But, from other hand, it's not unnatural: we need some effective checking of where the tourist can get in time and where he cannot, so let's try: what, if we'll consider borders of the "reachable-in-time" area as coordinate axes?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503987 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503987 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503987\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503991\" commentParentId=\"503987\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 16:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503991\" href=\"?#comment-503991\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503987\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503991\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503991\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503991\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I hope this is my last query:</p><p>If tourist needs to go from i to j where xi > xj, that time the velocity is negative. Right? And, the velocity can not be positive and negative at a time,</p><p>But why do we check</p> <pre><code>pi < pj and qi < qj ?\n</code></pre><p>Why not </p> <pre><code>pi < pj or qi < qj?\n</code></pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503991 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503991 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503991\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"504027\" commentParentId=\"503991\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 22:22\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-504027\" href=\"?#comment-504027\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503991\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"504027\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-504027\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>The axis directed from bottom to top is $$$t$$$ (time). The tourist cannot travel in time as he wants and/or change time flow direction. All what he can is to choose </p> <ol> <li><p>whether to stay at place with zero velocity (= move in direction of $$$t$$$, which is exactly in the middle between positive direction of $$$p$$$ and positive direction of $$$q$$$);</p></li> <li><p>or to move with velocity ($$$-v$$$), negative and maximal by absolute value, which is exactly positive direction of $$$p$$$;</p></li> <li><p>or to move with velocity ($$$+v$$$), positive and maximal by absolute value, which is exactly positive direction of $$$q$$$;</p></li> <li><p>or to move with velocity $$$0<w<v$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is bigger that $$$p$$$-projection; in other words, $$$0<w<v$$$ corresponds to $$$0<p<q$$$;</p></li> <li><p>or to move with velocity $$$-v<w<0$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is smaller that $$$p$$$-projection; in other words, $$$-v<w<0$$$ corresponds to $$$0<q<p$$$;</p></li> </ol><p>Whereas $$$(q_i > q_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$-\\infty\\leq w < -v$$$, or even moving in reverse direction of time. Similarly, $$$(p_i > p_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$v<w\\leq\\infty$$$, or even moving in reverse direction of time. So, it's required to have <strong>both</strong> $$$(p_i\\leq p_j)$$$ <strong>and</strong> $$$(q_i\\leq q_j)$$$</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-504027 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-504027 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-504027\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33574\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/vinhthinhho\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/17649/avatar/4e3c7559e46fc48.jpg'/> </a>\n <div><a href=\"/profile/vinhthinhho\" title=\"Candidate Master vinhthinhho\" class=\"rated-user user-violet\">vinhthinhho</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/19/2011 11:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33574\" href=\"?#comment-33574\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33574\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"17649\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33574\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>i dont understand the transformation of (xi,ti), how does it work??? can anyone tell me the answer?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33574 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33574 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33574\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37642\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Master_Chivu\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Master_Chivu\" title=\"Unrated, Master_Chivu\" class=\"rated-user user-black\">Master_Chivu</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37642\" href=\"?#comment-37642\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37642\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7062\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37642\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">"It is obsiously that if <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/5c/f4/5cf424ac693f1a0c89b939d7a6e6f6ada6700077.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/72/41/7241691bc12db2fb46351355cdd678dfea1703d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string."<br />What is "P"?<br />It seems that "P" hasn't been metioned before.<br />I really cannot understand this sentence.<br />And may "absiously" means "abviously"?<br /><br /></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37642 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37642 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37642\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37653\" commentParentId=\"37642\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37653\" href=\"?#comment-37653\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-37642\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37653\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37653\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It was a typo. "Obsiously" should be, of course, "obviously".<div><br /></div><div>Also I occasionally used P instead of M'. It is fixed now, thanks for pointing this out.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37653 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37653 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37653\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39030\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39030\" href=\"?#comment-39030\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39030\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39030\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D is right?</p> <p>I doubts it, for expleam, A=14 and B=4 </p> <p>then X=(14-4)/2=5 Y=5+4=9</p> <p>and A>B and <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have some parity and A-X=Y<br /><br />but X^Y=5^9=12 <br />This is my doubts. And I think (A-B)/2=X&Y .<br />But I don't know the specific X and Y values</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39030 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39030 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39030\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39031\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:29\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39031\" href=\"?#comment-39031\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39031\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39031\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Quote from the editorial:<div><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">"If</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>and</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">then the answer is also -1."</span><br /></div><div>Here X=5 and A-X=9. 5 and 9 = 1, which is not equal to 5. So the answer is -1 here.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39031 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39031 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39031\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39038\" commentParentId=\"39031\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:42\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39038\" href=\"?#comment-39038\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39031\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39038\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39038\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I was wrong, <br /><span style=\"LINE-HEIGHT: 20.0px;FONT-FAMILY: verdana , arial , sans-serif;FONT-SIZE: 12.0px;\"><span class=\"tex-span\" style=\"FONT-FAMILY: "times new roman";FONT-SIZE: 15.0px;\"><i>and is &</i></span></span><br /><br />But I saw many wrong program still through the test,<br /><br />and thank you very much for your patience solutions</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39038 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39038 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39038\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39034\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:35\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39034\" href=\"?#comment-39034\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39034\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39034\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I'm sorry, X is smallest, but I'm think if the answer doesn't exist, should add a condition: X^Y=B</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39034 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39034 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39034\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"422212\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/stringray\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/575608/avatar/2902babcf56868a2.jpg'/> </a>\n <div><a href=\"/profile/stringray\" title=\"Expert stringray\" class=\"rated-user user-blue\">stringray</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/27/2018 21:44\">6 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-422212\" href=\"?#comment-422212\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"422212\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"575608\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-422212\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Can someone explain the question Gift in this question it is asking for the minimum coins such that every road's gold coin and silver coin constraints are satisfied then if (A,B) is a valid solution then we can make A=infinite and B=infinite so that there will be always a solution also won't A=max(all gi's) and B=max(all si's ) where gi=minimum gold coins for ith road and si=minimum silver coins for ith road (this is what i have understood from the question can anyone tell what's wrong in my understanding )?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-422212 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-422212 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-422212\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"517643\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Newtech66\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/748716/avatar/ba5b7d94e0bd5415.jpg'/> </a>\n <div><a href=\"/profile/Newtech66\" title=\"Expert Newtech66\" class=\"rated-user user-blue\">Newtech66</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/10/2019 13:51\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-517643\" href=\"?#comment-517643\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"517643\" class=\"CommentVoteFrame\"\r\n class=\"negative-comment-vote\"\r\n data-commentRating=\"-10\"\r\n data-commentUserId=\"748716\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-10</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-517643\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D has weak testcases. My solution gets AC despite giving an incorrect answer on the testcase '10 6'.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-517643 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-517643 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-517643\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"537992\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/memento\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/852933/avatar/950578c1b4afd9dc.jpg'/> </a>\n <div><a href=\"/profile/memento\" title=\"Expert memento\" class=\"rated-user user-blue\">memento</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Aug/24/2019 21:32\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-537992\" href=\"?#comment-537992\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"537992\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"852933\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-537992\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Shit. This was 8 years ago.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-537992 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-537992 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-537992\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"763848\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/vishaaaal\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443354/avatar/25a2dd924894eeeb.jpg'/> </a>\n <div><a href=\"/profile/vishaaaal\" title=\"Expert vishaaaal\" class=\"rated-user user-blue\">vishaaaal</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/20/2021 12:42\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-763848\" href=\"?#comment-763848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"763848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443354\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-763848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>How to solve A without MST??</p> <div class=\"spoiler\"><b class=\"spoiler-title\">Here's my approach</b><div class=\"spoiler-content\" style=\"display: none;\"><p>Let us consider two cities $$$a$$$ and $$$b$$$. We use <em>dfs</em> to calculate the minimum amount of tugriks required for travelling from $$$a$$$ to $$$b$$$. And the answer will be maximum of such value among all pairs of cities.</p><p>The problem is, I think that calculation of this value requires to use Dynamic Programming. Any hints on that??</p></div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-763848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-763848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-763848\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1722\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: 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Points"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Points</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>You are given <span class=\"tex-span\"><i>N</i></span> points on a plane. Write a program which will find the sum of squares of distances between all pairs of points.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of input contains one integer number <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 100 000</span>) — the number of points. Each of the following <span class=\"tex-span\"><i>N</i></span> lines contain two integer numbers <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> (<span class=\"tex-span\"> - 10 000 ≤ <i>X</i>, <i>Y</i> ≤ 10 000</span>) — the coordinates of points. Two or more points may coincide.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only line of output should contain the required sum of squares of distances between all pairs of points.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>4<br/>1 1<br/>-1 -1<br/>1 -1<br/>-1 1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>32<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"b63692cbee84c36a9da4b7091db998e5\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - E - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"082aec557c4be1a19e98b0bfc72b3335be5aa92b\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - E - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"E\" data-uuid=\"ps_70daeb659d7612f06a85d74289586ac4b37bfa6b\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Points</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>You are given <span class=\"tex-span\"><i>N</i></span> points on a plane. Write a program which will find the sum of squares of distances between all pairs of points.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of input contains one integer number <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 100 000</span>) — the number of points. Each of the following <span class=\"tex-span\"><i>N</i></span> lines contain two integer numbers <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span> (<span class=\"tex-span\"> - 10 000 ≤ <i>X</i>, <i>Y</i> ≤ 10 000</span>) — the coordinates of points. Two or more points may coincide.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only line of output should contain the required sum of squares of distances between all pairs of points.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>4<br />1 1<br />-1 -1<br />1 -1<br />-1 1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>32<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=E]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: 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class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td 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class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a 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href=\"/profile/KADR\">KADR</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/KADR\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/KADR\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/KADR\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/KADR\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/KADR\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/KADR\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/KADR\" style=\"text-decoration:none;color:black !important;\">KADR's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1712\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1712\"> All-Ukrainian School Olympiad in Informatics: editorial (A,B,C,D,E,F)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a>,\r\n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div>The editorial is now completed.</div><div><br /></div><div><div><b>Problem A: Gift (Roman Iedemskyi)</b></div><div><br /></div><div>Suppose that the pair <span class=\"tex-span\">(<i>A</i>, <i>B</i>)</span> is an optimal solution, where <span class=\"tex-span\"><i>A</i></span> is the number of gold coins in a gift and <span class=\"tex-span\"><i>B</i></span> is a number of silver coins. It is easy to see that there exist two (probably equal) indexes <span class=\"tex-span\"><i>i</i></span> and <span class=\"tex-span\"><i>j</i></span> such that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> = <i>A</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>j</i></sub> = <i>B</i></span>. It is true, because in the other case we could decrease either <span class=\"tex-span\"><i>A</i></span> or <span class=\"tex-span\"><i>B</i></span> without changing connectivity of the graph.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> be the graph in which for all <span class=\"tex-span\"><i>i</i></span> the following statement holds: <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/f6a7810c1f985efe671bb157563fc069d097fbce.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> be the weighted graph in which for all edges <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>A</i></span>. For each edge <span class=\"tex-span\"><i>i</i></span> we will assign a weight equal to <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>. Let's find a spanning tree of this graph, which has the property that its maximal edge is minimal possible. It can be shown that for the fixed <span class=\"tex-span\"><i>A</i></span> the minimal value of <span class=\"tex-span\"><i>B</i></span> for which graph <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> is still connected is equal to the weight of the maximal edge in this spanning tree.</div><div><br /></div><div><i>Claim</i>. Minimal spanning tree of a graph has the property that its maximal edge is minimal possible among all spanning trees.</div><div><i>Proof</i>. Let <span class=\"tex-span\"><i>L</i></span> be the minimal spanning tree of a graph. Suppose there exists a spanning tree <span class=\"tex-span\"><i>P</i></span> in which all edges have smaller weight than the weight of the maximal edge of <span class=\"tex-span\"><i>L</i></span>. We can then remove the maximal edge from <span class=\"tex-span\"><i>L</i></span> and add some edge from <span class=\"tex-span\"><i>P</i></span> to it which will connect the graph back. After that <span class=\"tex-span\"><i>L</i></span> will have strictly smaller weight, which is impossible because it is a minimal spanning tree.</div><div><br /></div><div>Let's sort all edges of the graph in ascending order of <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>. Then the edges of graph <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> for the fixed <span class=\"tex-span\"><i>i</i></span> will be all edges with indexes <span class=\"tex-span\"><i>j</i> ≤ <i>i</i></span>.</div><div><br /></div><div>Suppose that for some value of <span class=\"tex-span\"><i>i</i></span> we have already found minimal spanning tree in every connected component of the graph <span class=\"tex-span\"><i>T</i>(<i>g</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Let's add an edge with index <span class=\"tex-span\"><i>i</i> + 1</span> into it. If it connects two different components, then after this operation they will be merged into one big component and it is obviously that the spanning tree we have in it is the minimal spanning tree. If <span class=\"tex-span\"><i>i</i> + 1</span>-th edge connects two vertices from the same connected component, then it will create exactly one cycle in the graph. We can find the maximal edge in this cycle and remove it from the graph. It can be proven that the remaining tree will be the minimal spanning tree of this connected component.</div><div><br /></div><div>We can perform the search of the maximal edge in a cycle as well as the insertion and removal of the edges in O(N). The total complexity is <span class=\"tex-span\"><i>O</i>(<i>NM</i> + <i>MlogM</i>)</span>.</div></div><div><br /></div><div><div><b>Problem B: Mice (Roman Rizvanov)</b></div><div><br /></div><div>It is easy to see that the number of closest pieces of cheese for each mouse is not greater than 2.</div><div><br /></div><div>Let's find the closest pieces of cheese for each mouse to the left and to the right from it. From two directions we will choose the one which gives us shorter way to cheese or both of them if their lengths are equal. If on the chosen way between the mouse and the cheese stands another mouse, then we should exclude this way from consideration, because another mouse will get to the cheese faster. Now all the directions lead to cheese and for each piece of cheese there is at most one mouse which can potentially eat it from each direction.</div><div><br /></div><div>We will process mice from left to right. If the current mouse can move left and the cheese to the left of it is not chosen by any other mouse or it is chosen by a mouse with the same distance to it, then the current mouse can move to the left and eat this piece of cheese without interfering with other mice. This choice will not affect any choices of the next mice, because only one mouse can go to this piece of cheese from the right (see previous paragraph). Thus, this choice can not decrease the answer. In all other cases the current mouse can not increase the answer by moving left, so it should move to the right if it has such opportunity.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(<i>N</i> + <i>M</i>)</span>.</div><div><br /></div><div>This problem can be also solved using dynamic programming.</div></div><div><br /></div><div><b>Problem C: Mutation (Iaroslav Tverdokhlib)</b></div><div><br /></div><div><div>In the editorial we will replace terms "risk", "genome" and "gene" with "cost", "string" and "character", respectively. Let <span class=\"tex-span\"><i>S</i></span> be the starting string.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>M</i></span> be the bitmask of chars which will be removed. Let's iterate over all possible values of <span class=\"tex-span\"><i>M</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we need to find a cost of the string, which remained after removal of <span class=\"tex-span\"><i>M</i></span> and if this cost doesn't exceed <span class=\"tex-span\"><i>T</i></span> we will increase the answer by 1. Naive implementation of this idea has the complexity <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>N</i>)</span>.</div><div><br /></div><div>We can not get rid of iterating over all <span class=\"tex-span\"><i>M</i></span>, so we will try to optimize a part of the algorithm which finds a cost of the remaining string.</div><div><br /></div><div>Let's take two indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> from the beginning string <span class=\"tex-span\"><i>l</i> < <i>r</i></span>. Let <span class=\"tex-span\"><i>M</i>'</span> be the bitmask of all characters which are located strictly between them. It is obviously that if <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7b04066e365590d0dc24c90dfc15aabd64c75339.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/3880b6b45cb2a0ccd5ea51b69f020c9e5a9f7fa1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string. Hence for the fixed <span class=\"tex-span\"><i>l</i></span> there are not more than <span class=\"tex-span\"><i>K</i></span> possible candidates for <span class=\"tex-span\"><i>r</i></span>, which means that there are <span class=\"tex-span\"><i>O</i>(<i>NK</i>)</span> pairs of such potential neighbours. We will call such pairs "good".</div><div><br /></div><div>We want to find out what form should have the set <span class=\"tex-span\"><i>M</i></span> that after its removal indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> became adjacent. It is easy to see that the following two conditions should be true:</div><div><br /></div><div>1. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/07de7c5bc68bc92d118ada183dab5d78f5c631c4.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div>2. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7fa1a37ebb11a92726d78e30e0ad17ffda729919.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Let's iterate over all good pairs of <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find the set <span class=\"tex-span\"><i>M</i>'</span>. For each triple <span class=\"tex-span\">(<i>a</i>, <i>b</i>, <i>P</i>)</span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>l</i></sub> = <i>a</i></span>, <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>r</i></sub> = <i>b</i></span>, <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. After that for the fixed <span class=\"tex-span\"><i>M</i></span> we will iterate over all pairs of characters <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> and its subsets <span class=\"tex-span\"><i>P</i></span> and add all their costs together. Also we need to add the cost of removal of <span class=\"tex-span\"><i>M</i></span> and the resulting sum will be the cost of the string which will left after removal of <span class=\"tex-span\"><i>M</i></span>. The complexity of such solution is <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> * <i>K</i><sup class=\"upper-index\">2</sup> + <i>NK</i>)</span>.</div><div><br /></div><div>We will optimize the previous solution by decreasing a factor near <span class=\"tex-span\">3<sup class=\"upper-index\"><i>K</i></sup></span>. Let's look at the following (incorrect) algorithm:</div><div><br /></div><div>We will iterate over all good pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find <span class=\"tex-span\"><i>M</i>'</span>. Let's create an array <span class=\"tex-span\"><i>v</i></span> in which for each mask <span class=\"tex-span\"><i>P</i></span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we will find a sum of all values from <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>M</i></span>, then add the cost of removal of <span class=\"tex-span\"><i>M</i></span> to it and the resulting sum will be the cost of the remaining string.</div><div><br /></div><div>This algorithm is incorrect, because some costs of neighborhood are added to the total cost, but in fact the respective <span class=\"tex-span\"><i>l</i></span> or <span class=\"tex-span\"><i>r</i></span> are removed. Let's use inclusion-exclusion principle and make the following at the phase of filling array <span class=\"tex-span\"><i>v</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>v</i>[<i>M</i>'] + = <i>cost</i></span></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4d392e8baa2755f671b67077d5ad638a2818e1c.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/0939a5ad00766ddcedb4465081c7dc8c63f0dd22.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/872ba326de38444a17ace78f749a43a3e1eff1d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>With such filling of <span class=\"tex-span\"><i>v</i></span> the algorithm described above is correct and the total complexity becomes <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> + <i>NK</i>)</span>.</div><div><br /></div><div>This is still not enough for the full solution, but we are almost there. We only need to find a fast way of finding the sum of the values of <span class=\"tex-span\"><i>v</i></span> for all submasks of all masks <span class=\"tex-span\"><i>M</i></span>. We will use the following iterative algorithm for this purpose:</div><div><br /></div><div>Before the first iteration we have an array <span class=\"tex-span\"><i>v</i></span> in which the starting values are stored. After iteration with number <span class=\"tex-span\"><i>i</i></span> in <span class=\"tex-span\"><i>v</i>[<i>mask</i>]</span> we will store the sum of all the values from the original array <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>mask</i></span> for which the first <span class=\"tex-span\"><i>K</i> - <i>i</i></span> bits are equal to the respective bits of <span class=\"tex-span\"><i>mask</i></span>. On iteration with number <span class=\"tex-span\"><i>i</i></span> for all masks in which the <span class=\"tex-span\"><i>i</i></span>-th bit is equal to 1 (bits are numbered from 1) we will perform the following: <span class=\"tex-span\"><i>v</i>[<i>mask</i>] + = <i>v</i>[<i>mask</i>\\{<i>i</i>}]</span>. It is easy to see that after the <span class=\"tex-span\"><i>K</i></span>-th iteration of this algorithm we will have the values we were looking for in array <span class=\"tex-span\"><i>v</i></span>.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>K</i> + <i>NK</i>)</span>.</div></div><div><br /></div><div><b>Problem D: Plus and XOR (Daniel Neiter)</b></div><div><br /></div><div>Let's take a look at some bit in X, which is equal to 1. If the respective bit in Y is equal to 0, then we can swap these two bits, thus reducing X and increasing Y without changing their sum and xor. We can conclude that if some bit in X is equal to 1 then the respective bit in Y is also equal to 1. Thus, <span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span>. Taking into account that <span class=\"tex-span\"><i>X</i> + <i>Y</i> = <i>X</i> + <i>X</i> + <i>B</i> = <i>A</i>, </span> we can obtain the following formulas for finding <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>X</i> = (<i>A</i> - <i>B</i>) / 2</span></div><div><span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span></div><div><div><br /></div><div>One should also notice that if <span class=\"tex-span\"><i>A</i> < <i>B</i></span> or <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have different parity, then the answer doesn't exist and we should output -1. If <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-span\"><i>and</i></span> <span class=\"tex-span\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span> then the answer is also -1.</div></div><div><br /></div><div><b>Problem E: Points (Daniel Neiter)</b></div><div><b><br /></b></div><div>Let's regroup summands and split the sum of squares of distances we are looking for into two sums:</div><div><b><br /></b></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/6e7ca6f50695e36ea199c3704ebb7574c4bfc029.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4a6a53d2cb6e9458620cc0b964c69f610df6601.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Now we need to rewrite each of these sums in the following way (it will be shown for the first sum):</div><div><br /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/ce7d437559ce56c7602146506aaec7f5b8f5920b.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/14de3bd836c0e823801f884a115983ff447988b5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>This formula allows us to find an answer in one pass through the array. The complexity is O(N).</div><div><br /></div><div><div><b>Problem F: Tourist (Ilya Porublyov)</b></div><div><br /></div><div>We can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if the following statements are true:</div><div><br /></div><div><ul><li><span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>t</i><sub class=\"lower-index\"><i>j</i></sub></span><br /></li><li><span class=\"tex-span\">|<i>x</i><sub class=\"lower-index\"><i>i</i></sub> - <i>x</i><sub class=\"lower-index\"><i>j</i></sub>| ≤ |<i>t</i><sub class=\"lower-index\"><i>i</i></sub> - <i>t</i><sub class=\"lower-index\"><i>j</i></sub>|· <i>V</i></span><br /></li></ul></div><div>We can represent all the events as points on a plane with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Now we can reformulate the two statements written above in the following way:<br /></div><div><br /></div><div>From the event <span class=\"tex-span\"><i>i</i></span> we can get to the event <span class=\"tex-span\"><i>j</i></span> if the point <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>j</i></sub>, <i>t</i><sub class=\"lower-index\"><i>j</i></sub>)</span> lise inside an angle pointed to the top with its vertex in <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> and its sides form an angle <span class=\"tex-span\"><i>arctg</i>(<i>V</i>)</span> with vertical axis. Let's make coordinate transformation according to which the point with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will transform into the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span>, where</div><div><span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> = - <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> = <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><br /></div><div>Now we can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> и <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. Let's sort all points in ascending order of <span class=\"tex-span\"><i>p</i></span>. If several points have the same <span class=\"tex-span\"><i>p</i></span> we will sort them by <span class=\"tex-span\"><i>q</i></span>. The second subproblem of our problem can be solved by finding a longest increasing subsequence by <span class=\"tex-span\"><i>q</i></span> in this array. It can be done in <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div><div><br /></div><div>To solve the first subproblem we can add dummy event with coordinate 0 and time 0 (if it is not present in our set of events yet) and force tourist's start from it.</div><div><br /></div><div>The total complexity if <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/76\" class=\"notice\" style=\"text-decoration: none;\">All-Ukrainian School Olympiad in Informatics</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-996-1712\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"996\",\n blogEntryId: \"1712\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=uoi2011\" class=\"tag notice\" style=\"text-decoration: none;\">uoi2011</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+30</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/KADR\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/KADR\">\n KADR\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1712#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1712#comments\">\n 24\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1722\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (22)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32624\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/wil93\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14356/avatar/897f1996dfb7343b.jpg'/> </a>\n <div><a href=\"/profile/wil93\" title=\"Expert wil93\" class=\"rated-user user-blue\">wil93</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/12/2011 23:20\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32624\" href=\"?#comment-32624\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32624\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"14356\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32624\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks very much, I think E's solution is genial. I understood it now, but it would be very difficult for me to come out with a similar thought :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32624 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32624 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32624\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33014\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 16:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33014\" href=\"?#comment-33014\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33014\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33014\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33014\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Hi,<br /><br />I would like to ask about problem F. Is there a particular reason why you sort by p first before you sort by q? If not, will sorting by q and then by p for tiebreak change the solution? If not, may I know if you can prove so? I can understand how you make the transformation and why the transformation is correct, but I am not convinced that you can get the optimal solution just by sorting and finding the LIS (Do you mean the longest non-decreasing subsequence? From what I understand, I think you first label the vertices according to the time when they appear. If they appear at the same time, then they have the same label.) Can you please give a proof or explanation why it works?<br /><br />Thanks in advance!</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33014 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33014 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33014\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33025\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33025\" href=\"?#comment-33025\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33025\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33025\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33025\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">If some two events have the same time then it is impossible to visit them both, so we are not interested in their relative order in the sorted array (after performing the transformation).<div><br /></div><div>After the transformation we can get from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> to the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>j</i></sub>, <i>q</i><sub class=\"lower-index\"><i>j</i></sub>)</span> iff <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> and <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. After performing the sorting described in the editorial all points reachable from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will have greater indexes in the array. This automatically means that the sequence will be non-decreasing by <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub></span>, so we only need to care about <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span>. The longest non-decreasing sequence by <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span> is the sequence we are looking for.</div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33025 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33025 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33025\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33026\" commentParentId=\"33025\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33026\" href=\"?#comment-33026\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33025\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33026\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33026\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Oh, that makes sense now. Thanks!</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33026 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33026 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33026\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503943\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 07:51\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503943\" href=\"?#comment-503943\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503943\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503943\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hi,</p><p><code>Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj. Let's sort all points in ascending order of p. If several points have the same p we will sort them by q.</code> Can you please explain it for me?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503943 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503943 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503943\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503965\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:02\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503965\" href=\"?#comment-503965\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503965\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503965\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>What do you want to be explained? Why "Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj."? Or what "If several points have the same p we will sort them by q." mean? Or what?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503965 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503965 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503965\">\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503976\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:48\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503976\" href=\"?#comment-503976\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503976\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503976\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p><a href=\"https://drive.google.com/file/d/1fwCssJgSTEJ5ic4AzHjhQBQnrypuQkYm/view?usp=sharing\">Here</a> is more detailed tutorial. It's in Ukrainian, but you can Google-translate it (result is poor, but some things are still correct) and look at figures and equations.</p><p>I CAN try to reply on more concrete questions, but I don't want to translate the whole text...</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503976 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503976 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503976\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503980\" commentParentId=\"503976\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 13:17\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503980\" href=\"?#comment-503980\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503976\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503980\" revisionCount=\"4\" revision=\"4\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">4</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503980\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503980\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Well, What are the significances of p, q axes and angle arctg(v)? What do they represent?</p><p>What I understand before, as I mentioned in another comment's reply was as below: to go to j from i: <code>abs(xj - xi) / tj - ti <= v</code> so, </p><p><code>xj + v*tj >= xi + ti*v</code> and <code>-xi + v*ti >= -xj + v*t</code> </p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503980 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503980 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503980\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503987\" commentParentId=\"503980\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 15:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503987\" href=\"?#comment-503987\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503980\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503987\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503987\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Axis $$$p$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${-}v$$$), i.e.maximal by absolute value and directed to left. Its positive ray is the left-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system. Similarly, $$$q$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${+}v$$$), i.e. maximal by absolute value and directed to right; its positive ray is the right-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system.</p><p>It's not very obvious to look at these axes... But, from other hand, it's not unnatural: we need some effective checking of where the tourist can get in time and where he cannot, so let's try: what, if we'll consider borders of the "reachable-in-time" area as coordinate axes?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503987 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503987 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503987\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503991\" commentParentId=\"503987\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 16:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503991\" href=\"?#comment-503991\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503987\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503991\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503991\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503991\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I hope this is my last query:</p><p>If tourist needs to go from i to j where xi > xj, that time the velocity is negative. Right? And, the velocity can not be positive and negative at a time,</p><p>But why do we check</p> <pre><code>pi < pj and qi < qj ?\n</code></pre><p>Why not </p> <pre><code>pi < pj or qi < qj?\n</code></pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503991 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503991 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503991\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"504027\" commentParentId=\"503991\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 22:22\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-504027\" href=\"?#comment-504027\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503991\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"504027\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-504027\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>The axis directed from bottom to top is $$$t$$$ (time). The tourist cannot travel in time as he wants and/or change time flow direction. All what he can is to choose </p> <ol> <li><p>whether to stay at place with zero velocity (= move in direction of $$$t$$$, which is exactly in the middle between positive direction of $$$p$$$ and positive direction of $$$q$$$);</p></li> <li><p>or to move with velocity ($$$-v$$$), negative and maximal by absolute value, which is exactly positive direction of $$$p$$$;</p></li> <li><p>or to move with velocity ($$$+v$$$), positive and maximal by absolute value, which is exactly positive direction of $$$q$$$;</p></li> <li><p>or to move with velocity $$$0<w<v$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is bigger that $$$p$$$-projection; in other words, $$$0<w<v$$$ corresponds to $$$0<p<q$$$;</p></li> <li><p>or to move with velocity $$$-v<w<0$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is smaller that $$$p$$$-projection; in other words, $$$-v<w<0$$$ corresponds to $$$0<q<p$$$;</p></li> </ol><p>Whereas $$$(q_i > q_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$-\\infty\\leq w < -v$$$, or even moving in reverse direction of time. Similarly, $$$(p_i > p_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$v<w\\leq\\infty$$$, or even moving in reverse direction of time. So, it's required to have <strong>both</strong> $$$(p_i\\leq p_j)$$$ <strong>and</strong> $$$(q_i\\leq q_j)$$$</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-504027 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-504027 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-504027\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33574\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/vinhthinhho\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/17649/avatar/4e3c7559e46fc48.jpg'/> </a>\n <div><a href=\"/profile/vinhthinhho\" title=\"Candidate Master vinhthinhho\" class=\"rated-user user-violet\">vinhthinhho</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/19/2011 11:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33574\" href=\"?#comment-33574\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33574\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"17649\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33574\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>i dont understand the transformation of (xi,ti), how does it work??? can anyone tell me the answer?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33574 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33574 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33574\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37642\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Master_Chivu\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Master_Chivu\" title=\"Unrated, Master_Chivu\" class=\"rated-user user-black\">Master_Chivu</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37642\" href=\"?#comment-37642\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37642\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7062\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37642\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">"It is obsiously that if <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/5c/f4/5cf424ac693f1a0c89b939d7a6e6f6ada6700077.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/72/41/7241691bc12db2fb46351355cdd678dfea1703d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string."<br />What is "P"?<br />It seems that "P" hasn't been metioned before.<br />I really cannot understand this sentence.<br />And may "absiously" means "abviously"?<br /><br /></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37642 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37642 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37642\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37653\" commentParentId=\"37642\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37653\" href=\"?#comment-37653\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-37642\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37653\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37653\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It was a typo. "Obsiously" should be, of course, "obviously".<div><br /></div><div>Also I occasionally used P instead of M'. It is fixed now, thanks for pointing this out.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37653 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37653 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37653\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39030\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39030\" href=\"?#comment-39030\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39030\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39030\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D is right?</p> <p>I doubts it, for expleam, A=14 and B=4 </p> <p>then X=(14-4)/2=5 Y=5+4=9</p> <p>and A>B and <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have some parity and A-X=Y<br /><br />but X^Y=5^9=12 <br />This is my doubts. And I think (A-B)/2=X&Y .<br />But I don't know the specific X and Y values</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39030 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39030 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39030\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39031\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:29\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39031\" href=\"?#comment-39031\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39031\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39031\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Quote from the editorial:<div><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">"If</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>and</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">then the answer is also -1."</span><br /></div><div>Here X=5 and A-X=9. 5 and 9 = 1, which is not equal to 5. So the answer is -1 here.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39031 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39031 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39031\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39038\" commentParentId=\"39031\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:42\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39038\" href=\"?#comment-39038\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39031\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39038\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39038\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I was wrong, <br /><span style=\"LINE-HEIGHT: 20.0px;FONT-FAMILY: verdana , arial , sans-serif;FONT-SIZE: 12.0px;\"><span class=\"tex-span\" style=\"FONT-FAMILY: "times new roman";FONT-SIZE: 15.0px;\"><i>and is &</i></span></span><br /><br />But I saw many wrong program still through the test,<br /><br />and thank you very much for your patience solutions</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39038 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39038 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39038\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39034\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:35\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39034\" href=\"?#comment-39034\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39034\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39034\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I'm sorry, X is smallest, but I'm think if the answer doesn't exist, should add a condition: X^Y=B</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39034 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39034 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39034\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"422212\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/stringray\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/575608/avatar/2902babcf56868a2.jpg'/> </a>\n <div><a href=\"/profile/stringray\" title=\"Expert stringray\" class=\"rated-user user-blue\">stringray</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/27/2018 21:44\">6 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-422212\" href=\"?#comment-422212\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"422212\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"575608\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-422212\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Can someone explain the question Gift in this question it is asking for the minimum coins such that every road's gold coin and silver coin constraints are satisfied then if (A,B) is a valid solution then we can make A=infinite and B=infinite so that there will be always a solution also won't A=max(all gi's) and B=max(all si's ) where gi=minimum gold coins for ith road and si=minimum silver coins for ith road (this is what i have understood from the question can anyone tell what's wrong in my understanding )?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-422212 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-422212 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-422212\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"517643\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Newtech66\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/748716/avatar/ba5b7d94e0bd5415.jpg'/> </a>\n <div><a href=\"/profile/Newtech66\" title=\"Expert Newtech66\" class=\"rated-user user-blue\">Newtech66</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/10/2019 13:51\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-517643\" href=\"?#comment-517643\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"517643\" class=\"CommentVoteFrame\"\r\n class=\"negative-comment-vote\"\r\n data-commentRating=\"-10\"\r\n data-commentUserId=\"748716\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-10</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-517643\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D has weak testcases. My solution gets AC despite giving an incorrect answer on the testcase '10 6'.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-517643 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-517643 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-517643\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"537992\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/memento\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/852933/avatar/950578c1b4afd9dc.jpg'/> </a>\n <div><a href=\"/profile/memento\" title=\"Expert memento\" class=\"rated-user user-blue\">memento</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Aug/24/2019 21:32\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-537992\" href=\"?#comment-537992\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"537992\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"852933\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-537992\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Shit. This was 8 years ago.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-537992 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-537992 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-537992\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"763848\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/vishaaaal\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443354/avatar/25a2dd924894eeeb.jpg'/> </a>\n <div><a href=\"/profile/vishaaaal\" title=\"Expert vishaaaal\" class=\"rated-user user-blue\">vishaaaal</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/20/2021 12:42\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-763848\" href=\"?#comment-763848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"763848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443354\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-763848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>How to solve A without MST??</p> <div class=\"spoiler\"><b class=\"spoiler-title\">Here's my approach</b><div class=\"spoiler-content\" style=\"display: none;\"><p>Let us consider two cities $$$a$$$ and $$$b$$$. We use <em>dfs</em> to calculate the minimum amount of tugriks required for travelling from $$$a$$$ to $$$b$$$. And the answer will be maximum of such value among all pairs of cities.</p><p>The problem is, I think that calculation of this value requires to use Dynamic Programming. Any hints on that??</p></div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-763848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-763848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-763848\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1722\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: 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Tourist"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">F. Tourist</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>0.5 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Tourist walks along the <span class=\"tex-span\"><i>X</i></span> axis. He can choose either of two directions and any speed not exceeding <span class=\"tex-span\"><i>V</i></span>. He can also stand without moving anywhere. He knows from newspapers that at time <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">1</sub></span> in the point with coordinate <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">1</sub></span> an interesting event will occur, at time <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">2</sub></span> in the point with coordinate <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">2</sub></span> — another one, and so on up to (<span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>n</i></sub>, <i>t</i><sub class=\"lower-index\"><i>n</i></sub></span>). Interesting events are short so we can assume they are immediate. Event <span class=\"tex-span\"><i>i</i></span> counts visited if at time <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> tourist was at point with coordinate <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span>.</p><p>Write program tourist that will find maximum number of events tourist if: </p><ul> <li> at the beginning (when time is equal to 0) tourist appears at point 0, </li><li> tourist can choose initial point for himself. </li></ul><p>Yes, you should answer on two similar but different questions.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of input contains single integer number <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 100000</span>) — number of interesting events. The following <span class=\"tex-span\"><i>N</i></span> lines contain two integers <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> — coordinate and time of the <span class=\"tex-span\"><i>i</i></span>-th event. The last line of the input contains integer <span class=\"tex-span\"><i>V</i></span> — maximum speed of the tourist. All <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span> will be within range <span class=\"tex-span\"> - 2·10<sup class=\"upper-index\">8</sup> ≤ <i>x</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2·10<sup class=\"upper-index\">8</sup></span>, all <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> will be between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">2·10<sup class=\"upper-index\">6</sup></span> inclusive. <span class=\"tex-span\"><i>V</i></span> will be positive and will not exceed 1000. The input may contain events that happen at the same time or in the same place but not in the same place at the same time.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only line of the output should contain two space-sepatated integers — maximum number of events tourist can visit in he starts moving from point 0 at time 0, and maximum number of events tourist can visit if he chooses the initial point for himself.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br/>-1 1<br/>42 7<br/>40 8<br/>2<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1 2<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"60288a8f2d8fdb212ba169d719e4f73b\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - F - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"082aec557c4be1a19e98b0bfc72b3335be5aa92b\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - F - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"F\" data-uuid=\"ps_9e86a95dbdc9837e6870ac4835dbc775e8a54de0\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">F. Tourist</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>0.5 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Tourist walks along the <span class=\"tex-span\"><i>X</i></span> axis. He can choose either of two directions and any speed not exceeding <span class=\"tex-span\"><i>V</i></span>. He can also stand without moving anywhere. He knows from newspapers that at time <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">1</sub></span> in the point with coordinate <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">1</sub></span> an interesting event will occur, at time <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\">2</sub></span> in the point with coordinate <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">2</sub></span> — another one, and so on up to (<span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>n</i></sub>, <i>t</i><sub class=\"lower-index\"><i>n</i></sub></span>). Interesting events are short so we can assume they are immediate. Event <span class=\"tex-span\"><i>i</i></span> counts visited if at time <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> tourist was at point with coordinate <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span>.</p><p>Write program tourist that will find maximum number of events tourist if: </p><ul> <li> at the beginning (when time is equal to 0) tourist appears at point 0, </li><li> tourist can choose initial point for himself. </li></ul><p>Yes, you should answer on two similar but different questions.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line of input contains single integer number <span class=\"tex-span\"><i>N</i></span> (<span class=\"tex-span\">1 ≤ <i>N</i> ≤ 100000</span>) — number of interesting events. The following <span class=\"tex-span\"><i>N</i></span> lines contain two integers <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span> and <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> — coordinate and time of the <span class=\"tex-span\"><i>i</i></span>-th event. The last line of the input contains integer <span class=\"tex-span\"><i>V</i></span> — maximum speed of the tourist. All <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>i</i></sub></span> will be within range <span class=\"tex-span\"> - 2·10<sup class=\"upper-index\">8</sup> ≤ <i>x</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 2·10<sup class=\"upper-index\">8</sup></span>, all <span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub></span> will be between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">2·10<sup class=\"upper-index\">6</sup></span> inclusive. <span class=\"tex-span\"><i>V</i></span> will be positive and will not exceed 1000. The input may contain events that happen at the same time or in the same place but not in the same place at the same time.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>The only line of the output should contain two space-sepatated integers — maximum number of events tourist can visit in he starts moving from point 0 at time 0, and maximum number of events tourist can visit if he chooses the initial point for himself.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br />-1 1<br />42 7<br />40 8<br />2<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1 2<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=F]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:29</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='558ab1a7f09bc5c6200b881abd515673'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/KADR\">KADR</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/KADR\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/KADR\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/KADR\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/KADR\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/KADR\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/KADR\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/KADR\" style=\"text-decoration:none;color:black !important;\">KADR's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1712\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1712\"> All-Ukrainian School Olympiad in Informatics: editorial (A,B,C,D,E,F)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a>,\r\n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><div>The editorial is now completed.</div><div><br /></div><div><div><b>Problem A: Gift (Roman Iedemskyi)</b></div><div><br /></div><div>Suppose that the pair <span class=\"tex-span\">(<i>A</i>, <i>B</i>)</span> is an optimal solution, where <span class=\"tex-span\"><i>A</i></span> is the number of gold coins in a gift and <span class=\"tex-span\"><i>B</i></span> is a number of silver coins. It is easy to see that there exist two (probably equal) indexes <span class=\"tex-span\"><i>i</i></span> and <span class=\"tex-span\"><i>j</i></span> such that <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> = <i>A</i></span> and <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>j</i></sub> = <i>B</i></span>. It is true, because in the other case we could decrease either <span class=\"tex-span\"><i>A</i></span> or <span class=\"tex-span\"><i>B</i></span> without changing connectivity of the graph.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> be the graph in which for all <span class=\"tex-span\"><i>i</i></span> the following statement holds: <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/f6a7810c1f985efe671bb157563fc069d097fbce.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> be the weighted graph in which for all edges <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>A</i></span>. For each edge <span class=\"tex-span\"><i>i</i></span> we will assign a weight equal to <span class=\"tex-span\"><i>s</i><sub class=\"lower-index\"><i>i</i></sub></span>. Let's find a spanning tree of this graph, which has the property that its maximal edge is minimal possible. It can be shown that for the fixed <span class=\"tex-span\"><i>A</i></span> the minimal value of <span class=\"tex-span\"><i>B</i></span> for which graph <span class=\"tex-span\"><i>R</i>(<i>A</i>, <i>B</i>)</span> is still connected is equal to the weight of the maximal edge in this spanning tree.</div><div><br /></div><div><i>Claim</i>. Minimal spanning tree of a graph has the property that its maximal edge is minimal possible among all spanning trees.</div><div><i>Proof</i>. Let <span class=\"tex-span\"><i>L</i></span> be the minimal spanning tree of a graph. Suppose there exists a spanning tree <span class=\"tex-span\"><i>P</i></span> in which all edges have smaller weight than the weight of the maximal edge of <span class=\"tex-span\"><i>L</i></span>. We can then remove the maximal edge from <span class=\"tex-span\"><i>L</i></span> and add some edge from <span class=\"tex-span\"><i>P</i></span> to it which will connect the graph back. After that <span class=\"tex-span\"><i>L</i></span> will have strictly smaller weight, which is impossible because it is a minimal spanning tree.</div><div><br /></div><div>Let's sort all edges of the graph in ascending order of <span class=\"tex-span\"><i>g</i><sub class=\"lower-index\"><i>i</i></sub></span>. Then the edges of graph <span class=\"tex-span\"><i>T</i>(<i>A</i>)</span> for the fixed <span class=\"tex-span\"><i>i</i></span> will be all edges with indexes <span class=\"tex-span\"><i>j</i> ≤ <i>i</i></span>.</div><div><br /></div><div>Suppose that for some value of <span class=\"tex-span\"><i>i</i></span> we have already found minimal spanning tree in every connected component of the graph <span class=\"tex-span\"><i>T</i>(<i>g</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Let's add an edge with index <span class=\"tex-span\"><i>i</i> + 1</span> into it. If it connects two different components, then after this operation they will be merged into one big component and it is obviously that the spanning tree we have in it is the minimal spanning tree. If <span class=\"tex-span\"><i>i</i> + 1</span>-th edge connects two vertices from the same connected component, then it will create exactly one cycle in the graph. We can find the maximal edge in this cycle and remove it from the graph. It can be proven that the remaining tree will be the minimal spanning tree of this connected component.</div><div><br /></div><div>We can perform the search of the maximal edge in a cycle as well as the insertion and removal of the edges in O(N). The total complexity is <span class=\"tex-span\"><i>O</i>(<i>NM</i> + <i>MlogM</i>)</span>.</div></div><div><br /></div><div><div><b>Problem B: Mice (Roman Rizvanov)</b></div><div><br /></div><div>It is easy to see that the number of closest pieces of cheese for each mouse is not greater than 2.</div><div><br /></div><div>Let's find the closest pieces of cheese for each mouse to the left and to the right from it. From two directions we will choose the one which gives us shorter way to cheese or both of them if their lengths are equal. If on the chosen way between the mouse and the cheese stands another mouse, then we should exclude this way from consideration, because another mouse will get to the cheese faster. Now all the directions lead to cheese and for each piece of cheese there is at most one mouse which can potentially eat it from each direction.</div><div><br /></div><div>We will process mice from left to right. If the current mouse can move left and the cheese to the left of it is not chosen by any other mouse or it is chosen by a mouse with the same distance to it, then the current mouse can move to the left and eat this piece of cheese without interfering with other mice. This choice will not affect any choices of the next mice, because only one mouse can go to this piece of cheese from the right (see previous paragraph). Thus, this choice can not decrease the answer. In all other cases the current mouse can not increase the answer by moving left, so it should move to the right if it has such opportunity.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(<i>N</i> + <i>M</i>)</span>.</div><div><br /></div><div>This problem can be also solved using dynamic programming.</div></div><div><br /></div><div><b>Problem C: Mutation (Iaroslav Tverdokhlib)</b></div><div><br /></div><div><div>In the editorial we will replace terms "risk", "genome" and "gene" with "cost", "string" and "character", respectively. Let <span class=\"tex-span\"><i>S</i></span> be the starting string.</div><div><br /></div><div>Let <span class=\"tex-span\"><i>M</i></span> be the bitmask of chars which will be removed. Let's iterate over all possible values of <span class=\"tex-span\"><i>M</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we need to find a cost of the string, which remained after removal of <span class=\"tex-span\"><i>M</i></span> and if this cost doesn't exceed <span class=\"tex-span\"><i>T</i></span> we will increase the answer by 1. Naive implementation of this idea has the complexity <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>N</i>)</span>.</div><div><br /></div><div>We can not get rid of iterating over all <span class=\"tex-span\"><i>M</i></span>, so we will try to optimize a part of the algorithm which finds a cost of the remaining string.</div><div><br /></div><div>Let's take two indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> from the beginning string <span class=\"tex-span\"><i>l</i> < <i>r</i></span>. Let <span class=\"tex-span\"><i>M</i>'</span> be the bitmask of all characters which are located strictly between them. It is obviously that if <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7b04066e365590d0dc24c90dfc15aabd64c75339.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/3880b6b45cb2a0ccd5ea51b69f020c9e5a9f7fa1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string. Hence for the fixed <span class=\"tex-span\"><i>l</i></span> there are not more than <span class=\"tex-span\"><i>K</i></span> possible candidates for <span class=\"tex-span\"><i>r</i></span>, which means that there are <span class=\"tex-span\"><i>O</i>(<i>NK</i>)</span> pairs of such potential neighbours. We will call such pairs "good".</div><div><br /></div><div>We want to find out what form should have the set <span class=\"tex-span\"><i>M</i></span> that after its removal indexes <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> became adjacent. It is easy to see that the following two conditions should be true:</div><div><br /></div><div>1. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/07de7c5bc68bc92d118ada183dab5d78f5c631c4.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div>2. <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/7fa1a37ebb11a92726d78e30e0ad17ffda729919.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Let's iterate over all good pairs of <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find the set <span class=\"tex-span\"><i>M</i>'</span>. For each triple <span class=\"tex-span\">(<i>a</i>, <i>b</i>, <i>P</i>)</span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>l</i></sub> = <i>a</i></span>, <span class=\"tex-span\"><i>S</i><sub class=\"lower-index\"><i>r</i></sub> = <i>b</i></span>, <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. After that for the fixed <span class=\"tex-span\"><i>M</i></span> we will iterate over all pairs of characters <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> and its subsets <span class=\"tex-span\"><i>P</i></span> and add all their costs together. Also we need to add the cost of removal of <span class=\"tex-span\"><i>M</i></span> and the resulting sum will be the cost of the string which will left after removal of <span class=\"tex-span\"><i>M</i></span>. The complexity of such solution is <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> * <i>K</i><sup class=\"upper-index\">2</sup> + <i>NK</i>)</span>.</div><div><br /></div><div>We will optimize the previous solution by decreasing a factor near <span class=\"tex-span\">3<sup class=\"upper-index\"><i>K</i></sup></span>. Let's look at the following (incorrect) algorithm:</div><div><br /></div><div>We will iterate over all good pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> and for each of them we will find <span class=\"tex-span\"><i>M</i>'</span>. Let's create an array <span class=\"tex-span\"><i>v</i></span> in which for each mask <span class=\"tex-span\"><i>P</i></span> we will store the sum of costs of neighborhood of all pairs <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> for which <span class=\"tex-span\"><i>M</i>' = <i>P</i></span>. For the fixed <span class=\"tex-span\"><i>M</i></span> we will find a sum of all values from <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>M</i></span>, then add the cost of removal of <span class=\"tex-span\"><i>M</i></span> to it and the resulting sum will be the cost of the remaining string.</div><div><br /></div><div>This algorithm is incorrect, because some costs of neighborhood are added to the total cost, but in fact the respective <span class=\"tex-span\"><i>l</i></span> or <span class=\"tex-span\"><i>r</i></span> are removed. Let's use inclusion-exclusion principle and make the following at the phase of filling array <span class=\"tex-span\"><i>v</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>v</i>[<i>M</i>'] + = <i>cost</i></span></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4d392e8baa2755f671b67077d5ad638a2818e1c.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/0939a5ad00766ddcedb4465081c7dc8c63f0dd22.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/872ba326de38444a17ace78f749a43a3e1eff1d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>With such filling of <span class=\"tex-span\"><i>v</i></span> the algorithm described above is correct and the total complexity becomes <span class=\"tex-span\"><i>O</i>(3<sup class=\"upper-index\"><i>K</i></sup> + <i>NK</i>)</span>.</div><div><br /></div><div>This is still not enough for the full solution, but we are almost there. We only need to find a fast way of finding the sum of the values of <span class=\"tex-span\"><i>v</i></span> for all submasks of all masks <span class=\"tex-span\"><i>M</i></span>. We will use the following iterative algorithm for this purpose:</div><div><br /></div><div>Before the first iteration we have an array <span class=\"tex-span\"><i>v</i></span> in which the starting values are stored. After iteration with number <span class=\"tex-span\"><i>i</i></span> in <span class=\"tex-span\"><i>v</i>[<i>mask</i>]</span> we will store the sum of all the values from the original array <span class=\"tex-span\"><i>v</i></span> for all submasks of <span class=\"tex-span\"><i>mask</i></span> for which the first <span class=\"tex-span\"><i>K</i> - <i>i</i></span> bits are equal to the respective bits of <span class=\"tex-span\"><i>mask</i></span>. On iteration with number <span class=\"tex-span\"><i>i</i></span> for all masks in which the <span class=\"tex-span\"><i>i</i></span>-th bit is equal to 1 (bits are numbered from 1) we will perform the following: <span class=\"tex-span\"><i>v</i>[<i>mask</i>] + = <i>v</i>[<i>mask</i>\\{<i>i</i>}]</span>. It is easy to see that after the <span class=\"tex-span\"><i>K</i></span>-th iteration of this algorithm we will have the values we were looking for in array <span class=\"tex-span\"><i>v</i></span>.</div><div><br /></div><div>The complexity is <span class=\"tex-span\"><i>O</i>(2<sup class=\"upper-index\"><i>K</i></sup><i>K</i> + <i>NK</i>)</span>.</div></div><div><br /></div><div><b>Problem D: Plus and XOR (Daniel Neiter)</b></div><div><br /></div><div>Let's take a look at some bit in X, which is equal to 1. If the respective bit in Y is equal to 0, then we can swap these two bits, thus reducing X and increasing Y without changing their sum and xor. We can conclude that if some bit in X is equal to 1 then the respective bit in Y is also equal to 1. Thus, <span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span>. Taking into account that <span class=\"tex-span\"><i>X</i> + <i>Y</i> = <i>X</i> + <i>X</i> + <i>B</i> = <i>A</i>, </span> we can obtain the following formulas for finding <span class=\"tex-span\"><i>X</i></span> and <span class=\"tex-span\"><i>Y</i></span>:</div><div><br /></div><div><span class=\"tex-span\"><i>X</i> = (<i>A</i> - <i>B</i>) / 2</span></div><div><span class=\"tex-span\"><i>Y</i> = <i>X</i> + <i>B</i></span></div><div><div><br /></div><div>One should also notice that if <span class=\"tex-span\"><i>A</i> < <i>B</i></span> or <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have different parity, then the answer doesn't exist and we should output -1. If <span class=\"tex-span\"><i>X</i></span> <span class=\"tex-span\"><i>and</i></span> <span class=\"tex-span\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span> then the answer is also -1.</div></div><div><br /></div><div><b>Problem E: Points (Daniel Neiter)</b></div><div><b><br /></b></div><div>Let's regroup summands and split the sum of squares of distances we are looking for into two sums:</div><div><b><br /></b></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/6e7ca6f50695e36ea199c3704ebb7574c4bfc029.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/b4a6a53d2cb6e9458620cc0b964c69f610df6601.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>Now we need to rewrite each of these sums in the following way (it will be shown for the first sum):</div><div><br /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/ce7d437559ce56c7602146506aaec7f5b8f5920b.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/14de3bd836c0e823801f884a115983ff447988b5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></div><div><br /></div><div>This formula allows us to find an answer in one pass through the array. The complexity is O(N).</div><div><br /></div><div><div><b>Problem F: Tourist (Ilya Porublyov)</b></div><div><br /></div><div>We can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if the following statements are true:</div><div><br /></div><div><ul><li><span class=\"tex-span\"><i>t</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>t</i><sub class=\"lower-index\"><i>j</i></sub></span><br /></li><li><span class=\"tex-span\">|<i>x</i><sub class=\"lower-index\"><i>i</i></sub> - <i>x</i><sub class=\"lower-index\"><i>j</i></sub>| ≤ |<i>t</i><sub class=\"lower-index\"><i>i</i></sub> - <i>t</i><sub class=\"lower-index\"><i>j</i></sub>|· <i>V</i></span><br /></li></ul></div><div>We can represent all the events as points on a plane with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span>. Now we can reformulate the two statements written above in the following way:<br /></div><div><br /></div><div>From the event <span class=\"tex-span\"><i>i</i></span> we can get to the event <span class=\"tex-span\"><i>j</i></span> if the point <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>j</i></sub>, <i>t</i><sub class=\"lower-index\"><i>j</i></sub>)</span> lise inside an angle pointed to the top with its vertex in <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> and its sides form an angle <span class=\"tex-span\"><i>arctg</i>(<i>V</i>)</span> with vertical axis. Let's make coordinate transformation according to which the point with coordinates <span class=\"tex-span\">(<i>x</i><sub class=\"lower-index\"><i>i</i></sub>, <i>t</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will transform into the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span>, where</div><div><span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> = - <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> = <i>x</i><sub class=\"lower-index\"><i>i</i></sub> + <i>t</i><sub class=\"lower-index\"><i>i</i></sub> * <i>V</i></span></div><div><br /></div><div>Now we can get to the event <span class=\"tex-span\"><i>j</i></span> from the event <span class=\"tex-span\"><i>i</i></span> if <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> и <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. Let's sort all points in ascending order of <span class=\"tex-span\"><i>p</i></span>. If several points have the same <span class=\"tex-span\"><i>p</i></span> we will sort them by <span class=\"tex-span\"><i>q</i></span>. The second subproblem of our problem can be solved by finding a longest increasing subsequence by <span class=\"tex-span\"><i>q</i></span> in this array. It can be done in <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div><div><br /></div><div>To solve the first subproblem we can add dummy event with coordinate 0 and time 0 (if it is not present in our set of events yet) and force tourist's start from it.</div><div><br /></div><div>The total complexity if <span class=\"tex-span\"><i>O</i>(<i>NlogN</i>)</span>.</div></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/76\" class=\"notice\" style=\"text-decoration: none;\">All-Ukrainian School Olympiad in Informatics</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-996-1712\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"996\",\n blogEntryId: \"1712\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=uoi2011\" class=\"tag notice\" style=\"text-decoration: none;\">uoi2011</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+30</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1712\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/KADR\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/KADR\">\n KADR\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/12/2011 21:30\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1712#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1712#comments\">\n 24\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1722\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (22)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"32624\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/wil93\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/14356/avatar/897f1996dfb7343b.jpg'/> </a>\n <div><a href=\"/profile/wil93\" title=\"Expert wil93\" class=\"rated-user user-blue\">wil93</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/12/2011 23:20\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-32624\" href=\"?#comment-32624\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"32624\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"14356\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-32624\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks very much, I think E's solution is genial. I understood it now, but it would be very difficult for me to come out with a similar thought :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-32624 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-32624 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-32624\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33014\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 16:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33014\" href=\"?#comment-33014\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33014\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33014\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33014\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">Hi,<br /><br />I would like to ask about problem F. Is there a particular reason why you sort by p first before you sort by q? If not, will sorting by q and then by p for tiebreak change the solution? If not, may I know if you can prove so? I can understand how you make the transformation and why the transformation is correct, but I am not convinced that you can get the optimal solution just by sorting and finding the LIS (Do you mean the longest non-decreasing subsequence? From what I understand, I think you first label the vertices according to the time when they appear. If they appear at the same time, then they have the same label.) Can you please give a proof or explanation why it works?<br /><br />Thanks in advance!</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33014 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33014 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33014\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33025\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33025\" href=\"?#comment-33025\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"33025\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"33025\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33025\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">If some two events have the same time then it is impossible to visit them both, so we are not interested in their relative order in the sorted array (after performing the transformation).<div><br /></div><div>After the transformation we can get from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> to the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>j</i></sub>, <i>q</i><sub class=\"lower-index\"><i>j</i></sub>)</span> iff <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>p</i><sub class=\"lower-index\"><i>j</i></sub></span> and <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>q</i><sub class=\"lower-index\"><i>j</i></sub></span>. After performing the sorting described in the editorial all points reachable from the point <span class=\"tex-span\">(<i>p</i><sub class=\"lower-index\"><i>i</i></sub>, <i>q</i><sub class=\"lower-index\"><i>i</i></sub>)</span> will have greater indexes in the array. This automatically means that the sequence will be non-decreasing by <span class=\"tex-span\"><i>p</i><sub class=\"lower-index\"><i>i</i></sub></span>, so we only need to care about <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span>. The longest non-decreasing sequence by <span class=\"tex-span\"><i>q</i><sub class=\"lower-index\"><i>i</i></sub></span> is the sequence we are looking for.</div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33025 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33025 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33025\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33026\" commentParentId=\"33025\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/simp1eton\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/simp1eton\" title=\"Candidate Master simp1eton\" class=\"rated-user user-violet\">simp1eton</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/15/2011 18:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33026\" href=\"?#comment-33026\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33025\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33026\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4207\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33026\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Oh, that makes sense now. Thanks!</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33026 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33026 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33026\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503943\" commentParentId=\"33014\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 07:51\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503943\" href=\"?#comment-503943\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33014\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503943\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503943\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Hi,</p><p><code>Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj. Let's sort all points in ascending order of p. If several points have the same p we will sort them by q.</code> Can you please explain it for me?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503943 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503943 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503943\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503965\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:02\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503965\" href=\"?#comment-503965\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503965\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503965\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>What do you want to be explained? Why "Now we can get to the event j from the event i if pi ≤ pj и qi ≤ qj."? Or what "If several points have the same p we will sort them by q." mean? Or what?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503965 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503965 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503965\">\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503976\" commentParentId=\"503943\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 11:48\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503976\" href=\"?#comment-503976\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503943\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503976\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503976\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p><a href=\"https://drive.google.com/file/d/1fwCssJgSTEJ5ic4AzHjhQBQnrypuQkYm/view?usp=sharing\">Here</a> is more detailed tutorial. It's in Ukrainian, but you can Google-translate it (result is poor, but some things are still correct) and look at figures and equations.</p><p>I CAN try to reply on more concrete questions, but I don't want to translate the whole text...</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503976 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503976 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503976\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503980\" commentParentId=\"503976\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 13:17\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503980\" href=\"?#comment-503980\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503976\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503980\" revisionCount=\"4\" revision=\"4\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">4</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503980\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503980\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Well, What are the significances of p, q axes and angle arctg(v)? What do they represent?</p><p>What I understand before, as I mentioned in another comment's reply was as below: to go to j from i: <code>abs(xj - xi) / tj - ti <= v</code> so, </p><p><code>xj + v*tj >= xi + ti*v</code> and <code>-xi + v*ti >= -xj + v*t</code> </p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503980 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503980 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503980\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503987\" commentParentId=\"503980\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 15:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503987\" href=\"?#comment-503987\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503980\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"503987\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503987\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Axis $$$p$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${-}v$$$), i.e.maximal by absolute value and directed to left. Its positive ray is the left-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system. Similarly, $$$q$$$ is the direction, where the tourist moves (in plane $$$(x,t)$$$), if his speed is ($$${+}v$$$), i.e. maximal by absolute value and directed to right; its positive ray is the right-bottom border of the area where the tourist can get in time, starting from the origin of the $$$(p,q)$$$ coordiante system.</p><p>It's not very obvious to look at these axes... But, from other hand, it's not unnatural: we need some effective checking of where the tourist can get in time and where he cannot, so let's try: what, if we'll consider borders of the "reachable-in-time" area as coordinate axes?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503987 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503987 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503987\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"503991\" commentParentId=\"503987\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/AbdAl-mateen\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/694938/avatar/57122394280e75b5.jpg'/> </a>\n <div><a href=\"/profile/AbdAl-mateen\" title=\"Newbie AbdAl-mateen\" class=\"rated-user user-gray\">AbdAl-mateen</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 16:12\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-503991\" href=\"?#comment-503991\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503987\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"503991\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"503991\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"694938\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-503991\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>I hope this is my last query:</p><p>If tourist needs to go from i to j where xi > xj, that time the velocity is negative. Right? And, the velocity can not be positive and negative at a time,</p><p>But why do we check</p> <pre><code>pi < pj and qi < qj ?\n</code></pre><p>Why not </p> <pre><code>pi < pj or qi < qj?\n</code></pre></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-503991 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-503991 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-503991\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"504027\" commentParentId=\"503991\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/IlyaCk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/19187/avatar/40ba7301419542bd.jpg'/> </a>\n <div><a href=\"/profile/IlyaCk\" title=\"Expert IlyaCk\" class=\"rated-user user-blue\">IlyaCk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/05/2019 22:22\">5 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-504027\" href=\"?#comment-504027\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-503991\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"504027\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"19187\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-504027\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>The axis directed from bottom to top is $$$t$$$ (time). The tourist cannot travel in time as he wants and/or change time flow direction. All what he can is to choose </p> <ol> <li><p>whether to stay at place with zero velocity (= move in direction of $$$t$$$, which is exactly in the middle between positive direction of $$$p$$$ and positive direction of $$$q$$$);</p></li> <li><p>or to move with velocity ($$$-v$$$), negative and maximal by absolute value, which is exactly positive direction of $$$p$$$;</p></li> <li><p>or to move with velocity ($$$+v$$$), positive and maximal by absolute value, which is exactly positive direction of $$$q$$$;</p></li> <li><p>or to move with velocity $$$0<w<v$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is bigger that $$$p$$$-projection; in other words, $$$0<w<v$$$ corresponds to $$$0<p<q$$$;</p></li> <li><p>or to move with velocity $$$-v<w<0$$$ (where $$$v$$$ is $$$v$$$ from input data, and $$$w$$$ is actual tourist's velocity), which is in the same quadrant of the $$$(p,q)$$$-system (both $$$p$$$ and $$$q$$$ positive), but $$$q$$$-projection is smaller that $$$p$$$-projection; in other words, $$$-v<w<0$$$ corresponds to $$$0<q<p$$$;</p></li> </ol><p>Whereas $$$(q_i > q_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$-\\infty\\leq w < -v$$$, or even moving in reverse direction of time. Similarly, $$$(p_i > p_j)$$$ (for moving from $$$i$$$ to $$$j$$$) requires either moving with speed $$$w$$$ which is $$$v<w\\leq\\infty$$$, or even moving in reverse direction of time. So, it's required to have <strong>both</strong> $$$(p_i\\leq p_j)$$$ <strong>and</strong> $$$(q_i\\leq q_j)$$$</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-504027 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-504027 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-504027\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33574\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/vinhthinhho\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/17649/avatar/4e3c7559e46fc48.jpg'/> </a>\n <div><a href=\"/profile/vinhthinhho\" title=\"Candidate Master vinhthinhho\" class=\"rated-user user-violet\">vinhthinhho</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/19/2011 11:21\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33574\" href=\"?#comment-33574\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33574\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"17649\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33574\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>i dont understand the transformation of (xi,ti), how does it work??? can anyone tell me the answer?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33574 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33574 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33574\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37642\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Master_Chivu\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Master_Chivu\" title=\"Unrated, Master_Chivu\" class=\"rated-user user-black\">Master_Chivu</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:09\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37642\" href=\"?#comment-37642\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37642\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"7062\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37642\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">"It is obsiously that if <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/5c/f4/5cf424ac693f1a0c89b939d7a6e6f6ada6700077.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> or <img align=\"middle\" class=\"tex-formula\" src=\"/predownloaded/72/41/7241691bc12db2fb46351355cdd678dfea1703d1.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> then <span class=\"tex-span\"><i>l</i></span> and <span class=\"tex-span\"><i>r</i></span> can not be neighbours in the remaining string."<br />What is "P"?<br />It seems that "P" hasn't been metioned before.<br />I really cannot understand this sentence.<br />And may "absiously" means "abviously"?<br /><br /></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37642 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37642 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37642\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"37653\" commentParentId=\"37642\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/11/2011 20:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-37653\" href=\"?#comment-37653\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-37642\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"37653\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-37653\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">It was a typo. "Obsiously" should be, of course, "obviously".<div><br /></div><div>Also I occasionally used P instead of M'. It is fixed now, thanks for pointing this out.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-37653 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-37653 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-37653\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39030\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39030\" href=\"?#comment-39030\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39030\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39030\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D is right?</p> <p>I doubts it, for expleam, A=14 and B=4 </p> <p>then X=(14-4)/2=5 Y=5+4=9</p> <p>and A>B and <span class=\"tex-span\"><i>A</i></span> and <span class=\"tex-span\"><i>B</i></span> have some parity and A-X=Y<br /><br />but X^Y=5^9=12 <br />This is my doubts. And I think (A-B)/2=X&Y .<br />But I don't know the specific X and Y values</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39030 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39030 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39030\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39031\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/KADR\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1028/avatar/9089397f80c0fe42.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/KADR\" title=\"Master KADR\" class=\"rated-user user-orange\">KADR</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:29\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39031\" href=\"?#comment-39031\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39031\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1028\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39031\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Quote from the editorial:<div><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">"If</span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\"><i>and</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span class=\"tex-span\" style=\"font-size: 15.0px;font-family: "times new roman";\">(<i>A</i> - <i>X</i>) ≠ <i>X</i></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\">then the answer is also -1."</span><br /></div><div>Here X=5 and A-X=9. 5 and 9 = 1, which is not equal to 5. So the answer is -1 here.</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39031 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39031 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39031\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39038\" commentParentId=\"39031\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:42\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39038\" href=\"?#comment-39038\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39031\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39038\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39038\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I was wrong, <br /><span style=\"LINE-HEIGHT: 20.0px;FONT-FAMILY: verdana , arial , sans-serif;FONT-SIZE: 12.0px;\"><span class=\"tex-span\" style=\"FONT-FAMILY: "times new roman";FONT-SIZE: 15.0px;\"><i>and is &</i></span></span><br /><br />But I saw many wrong program still through the test,<br /><br />and thank you very much for your patience solutions</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39038 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39038 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39038\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"39034\" commentParentId=\"39030\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Snow_storm\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/Snow_storm\" title=\"Expert Snow_storm\" class=\"rated-user user-blue\">Snow_storm</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/18/2011 21:35\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-39034\" href=\"?#comment-39034\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-39030\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"39034\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"6824\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-39034\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I'm sorry, X is smallest, but I'm think if the answer doesn't exist, should add a condition: X^Y=B</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-39034 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-39034 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-39034\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"422212\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/stringray\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/575608/avatar/2902babcf56868a2.jpg'/> </a>\n <div><a href=\"/profile/stringray\" title=\"Expert stringray\" class=\"rated-user user-blue\">stringray</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Mar/27/2018 21:44\">6 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-422212\" href=\"?#comment-422212\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"422212\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"1\"\r\n data-commentUserId=\"575608\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+1</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-422212\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Can someone explain the question Gift in this question it is asking for the minimum coins such that every road's gold coin and silver coin constraints are satisfied then if (A,B) is a valid solution then we can make A=infinite and B=infinite so that there will be always a solution also won't A=max(all gi's) and B=max(all si's ) where gi=minimum gold coins for ith road and si=minimum silver coins for ith road (this is what i have understood from the question can anyone tell what's wrong in my understanding )?</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-422212 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-422212 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-422212\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"517643\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/Newtech66\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/748716/avatar/ba5b7d94e0bd5415.jpg'/> </a>\n <div><a href=\"/profile/Newtech66\" title=\"Expert Newtech66\" class=\"rated-user user-blue\">Newtech66</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Jun/10/2019 13:51\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-517643\" href=\"?#comment-517643\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"517643\" class=\"CommentVoteFrame\"\r\n class=\"negative-comment-vote\"\r\n data-commentRating=\"-10\"\r\n data-commentUserId=\"748716\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">-10</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-517643\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Problem D has weak testcases. My solution gets AC despite giving an incorrect answer on the testcase '10 6'.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-517643 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-517643 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-517643\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"537992\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/memento\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/852933/avatar/950578c1b4afd9dc.jpg'/> </a>\n <div><a href=\"/profile/memento\" title=\"Expert memento\" class=\"rated-user user-blue\">memento</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Aug/24/2019 21:32\">4 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-537992\" href=\"?#comment-537992\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"537992\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"11\"\r\n data-commentUserId=\"852933\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+11</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-537992\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Shit. This was 8 years ago.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-537992 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-537992 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-537992\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"763848\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/vishaaaal\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1443354/avatar/25a2dd924894eeeb.jpg'/> </a>\n <div><a href=\"/profile/vishaaaal\" title=\"Expert vishaaaal\" class=\"rated-user user-blue\">vishaaaal</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Feb/20/2021 12:42\">3 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-763848\" href=\"?#comment-763848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"763848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1443354\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-763848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>How to solve A without MST??</p> <div class=\"spoiler\"><b class=\"spoiler-title\">Here's my approach</b><div class=\"spoiler-content\" style=\"display: none;\"><p>Let us consider two cities $$$a$$$ and $$$b$$$. We use <em>dfs</em> to calculate the minimum amount of tugriks required for travelling from $$$a$$$ to $$$b$$$. And the answer will be maximum of such value among all pairs of cities.</p><p>The problem is, I think that calculation of this value requires to use Dynamic Programming. Any hints on that??</p></div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-763848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-763848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-763848\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1722\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: 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Heroes"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Heroes</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>The year of 2012 is coming...</p><p>According to an ancient choradrican legend in this very year, in 2012, Diablo and his brothers Mephisto and Baal will escape from hell, and innumerable hordes of demons will enslave the human world. But seven brave heroes have already gathered on the top of a mountain Arreat to protect us mere mortals from the effect of this terrible evil.</p><p>The seven great heroes are: amazon <span class=\"tex-font-style-tt\">Anka</span>, barbarian <span class=\"tex-font-style-tt\">Chapay</span>, sorceress <span class=\"tex-font-style-tt\">Cleo</span>, druid <span class=\"tex-font-style-tt\">Troll</span>, necromancer <span class=\"tex-font-style-tt\">Dracul</span>, paladin <span class=\"tex-font-style-tt\">Snowy</span> and a professional hit girl <span class=\"tex-font-style-tt\">Hexadecimal</span>. Heroes already know how much experience will be given for each of the three megabosses: <span class=\"tex-span\"><i>a</i></span> for Mephisto, <span class=\"tex-span\"><i>b</i></span> for Diablo and <span class=\"tex-span\"><i>c</i></span> for Baal.</p><p>Here's the problem: heroes are as much as seven and megabosses are only three! Then our heroes decided to split into three teams, where each team will go to destroy their own megaboss. Each team member will receive a <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/d9049b74dfcebaef5774f475b1e3ef4ed39cfc63.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> of experience, rounded down, where <span class=\"tex-span\"><i>x</i></span> will be the amount of experience for the killed megaboss and <span class=\"tex-span\"><i>y</i></span> — the number of people in the team.</p><p>Heroes do not want to hurt each other's feelings, so they want to split into teams so that the difference between the hero who received the maximum number of experience and the hero who received the minimum number of experience were minimal. Since there can be several divisions into teams, then you need to find the one in which <span class=\"tex-font-style-underline\">the total amount of liking in teams</span> were maximum.</p><p>It is known that some heroes like others. But if hero <span class=\"tex-span\"><i>p</i></span> likes hero <span class=\"tex-span\"><i>q</i></span>, this does not mean that the hero <span class=\"tex-span\"><i>q</i></span> likes hero <span class=\"tex-span\"><i>p</i></span>. No hero likes himself.</p><p>The total amount of liking in teams is the amount of ordered pairs <span class=\"tex-span\">(<i>p</i>, <i>q</i>)</span>, such that heroes <span class=\"tex-span\"><i>p</i></span> and <span class=\"tex-span\"><i>q</i></span> are in the same group, and hero <span class=\"tex-span\"><i>p</i></span> likes hero <span class=\"tex-span\"><i>q</i></span> (but it is not important if hero <span class=\"tex-span\"><i>q</i></span> likes hero <span class=\"tex-span\"><i>p</i></span>). In case of heroes <span class=\"tex-span\"><i>p</i></span> and <span class=\"tex-span\"><i>q</i></span> likes each other and they are in the same group, this pair should be counted twice, as <span class=\"tex-span\">(<i>p</i>, <i>q</i>)</span> and <span class=\"tex-span\">(<i>q</i>, <i>p</i>)</span>.</p><p>A team can consist even of a single hero, but it is important that every megaboss was destroyed. All heroes must be involved in the campaign against evil. None of the heroes can be in more than one team.</p><p>It is guaranteed that every hero is able to destroy any megaboss alone.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains a single non-negative integer <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">0 ≤ <i>n</i> ≤ 42</span>) — amount of liking between the heroes. Next <span class=\"tex-span\"><i>n</i></span> lines describe liking in the form \"<span class=\"tex-font-style-tt\">p likes q</span>\", meaning that the hero <span class=\"tex-font-style-tt\">p</span> likes the hero <span class=\"tex-font-style-tt\">q</span> (<span class=\"tex-font-style-tt\">p</span> <span class=\"tex-span\"> ≠ </span> <span class=\"tex-font-style-tt\">q</span>). Every liking is described in the input exactly once, no hero likes himself.</p><p>In the last line are given three integers <span class=\"tex-span\"><i>a</i></span>, <span class=\"tex-span\"><i>b</i></span> and <span class=\"tex-span\"><i>c</i></span> (<span class=\"tex-span\">1 ≤ <i>a</i>, <i>b</i>, <i>c</i> ≤ 2·10<sup class=\"upper-index\">9</sup></span>), separated by spaces: the experience for Mephisto, the experience for Diablo and experience for Baal.</p><p>In all the pretests, except for examples from the statement, the following condition is satisfied: <span class=\"tex-span\"><i>a</i> = <i>b</i> = <i>c</i></span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print two integers — the minimal difference in the experience between two heroes who will receive the maximum and minimum number of experience points, and the maximal total amount of liking in teams (the number of friendships between heroes that end up in one team).</p><p><span class=\"tex-font-style-bf\">When calculating the second answer, the team division should satisfy the difference-minimizing contraint. I.e. primary you should minimize the difference in the experience and secondary you should maximize the total amount of liking.</span></p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br/>Troll likes Dracul<br/>Dracul likes Anka<br/>Snowy likes Hexadecimal<br/>210 200 180<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>30 3<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2<br/>Anka likes Chapay<br/>Chapay likes Anka<br/>10000 50 50<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1950 2<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p><span class=\"tex-font-style-bf\">A note to first example:</span> it the first team should be <span class=\"tex-font-style-tt\">Dracul</span>, <span class=\"tex-font-style-tt\">Troll</span> and <span class=\"tex-font-style-tt\">Anka</span>, in the second one <span class=\"tex-font-style-tt\">Hexadecimal</span> and <span class=\"tex-font-style-tt\">Snowy</span>, and in the third <span class=\"tex-font-style-tt\">Cleo</span> и <span class=\"tex-font-style-tt\">Chapay</span>.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"b83bb7479fc27ac8728685077344b606\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - A - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"083b05ef0c6ee70ec70abb16379799bf315c5986\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - A - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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Codeforces.showMessage(verdictPrototypeDiv.text());\n }\n }\n\n $(\".clickable-title\").each(function() {\n var title = $(this).attr(\"data-title\");\n if (title) {\n var tmp = document.createElement(\"DIV\");\n tmp.innerHTML = title;\n $(this).attr(\"title\", tmp.textContent || tmp.innerText || \"\");\n }\n });\n\n $(\".clickable-title\").click(function() {\n var title = $(this).attr(\"data-title\");\n if (title) {\n Codeforces.alert(title);\n } else {\n Codeforces.alert($(this).attr(\"title\"));\n }\n }).css(\"position\", \"relative\").css(\"bottom\", \"3px\");\n\n Codeforces.showDelayedMessage();\n\n Codeforces.reformatTimes();\n\n //Codeforces.initializePubSub();\n if (window.codeforcesOptions.subscribeServerUrl) {\n window.eventCatcher = new EventCatcher(\n window.codeforcesOptions.subscribeServerUrl,\n [\n Codeforces.getGlobalChannel(),\n Codeforces.getUserChannel(),\n Codeforces.getUserShowMessageChannel(),\n Codeforces.getContestChannel(),\n 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Codeforces.setupTutorials(\"/data/problemTutorial\");\n });\n </script>\n\n<script type=\"text/javascript\">\n var _gaq = _gaq || [];\n _gaq.push(['_setAccount', 'UA-743380-5']);\n _gaq.push(['_trackPageview']);\n\n (function () {\n var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true;\n ga.src = (document.location.protocol == 'https:' ? 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/77\">Codeforces Beta Round 69 (Div. 1 Only)</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? Just register for practice and you will be able to submit solutions.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"\" method=\"post\"><input type='hidden' name='csrf_token' value='b83bb7479fc27ac8728685077344b606'/>\r\n <input type=\"hidden\" name=\"action\" value=\"registerForPractice\"/>\r\n <input type=\"submit\" name=\"submit\" value=\"Register for practice\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div> \r\n</div>\r\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox ContestVirtualFrame borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Virtual participation <i class=\"sidebar-caption-icon las la-angle-down\"></i>\r\n\n <div class=\"top-links\">\n </div>\n </div>\n<div style=\" \"\r\n\r\n data-page-url=\"/data/sidebarFrames\"\r\n\r\n>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/77/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Brute force\">\r\n brute force\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Implementation problems, programming technics, simulation\">\r\n implementation\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1400\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='b83bb7479fc27ac8728685077344b606'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"412\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='b83bb7479fc27ac8728685077344b606'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"412\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box img\").click(function () {\r\n var tagName = $(this).attr(\"value\");\r\n Codeforces.confirm(\"Are you sure you want to remove this tag?\", function () {\r\n $(\"#removeTagForm input[name=tagName]\").val(tagName);\r\n $(\"#removeTagForm\").submit();\r\n }, function () {\r\n }, \"Yes\", \"No\");\r\n });\r\n\r\n $(\"#addTagLink\").click(function () {\r\n $(this).hide();\r\n $(\"#addTagLabel\").show();\r\n return false;\r\n });\r\n\r\n $(\"#addTagSelect\").change(function () {\r\n var tagName = $(this).val();\r\n if (tagName === \"\") {\r\n $(\"#addTagLabel\").hide();\r\n $(\"#addTagLink\").show();\r\n } else {\r\n $(\"#addTagForm input[name=tagName]\").val(tagName);\r\n $(\"#addTagForm\").submit();\r\n }\r\n });\r\n</script>\r\n\r\n<style type=\"text/css\">\r\n#new-resource-form tr td {\r\npadding-top: 0.5em;\r\n}\r\n#new-resource-form input:not([type=\"submit\"]) {\r\nfont-size: 0.8em;\r\n}\r\n#new-resource-form select {\r\nfont-size: 0.8em;\r\n}\r\n.new-resource-error {\r\nfont-size: 0.8em;\r\n}\r\n.resource-locale {\r\ncolor: #666;\r\nfont-family: Consolas, \"Andale Mono WT\", \"Andale Mono\", \"Lucida Console\", \"Lucida Sans Typewriter\", \"DejaVu Sans Mono\", \"Bitstream Vera Sans Mono\", \"Liberation Mono\", \"Nimbus Mono L\", Monaco, \"Courier New\", Courier, monospace;\r\n}\r\n</style>\r\n<div class=\"roundbox sidebox sidebar-menu borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Contest materials\n<div class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1767\" title=\"Codeforces Beta Round #69\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"1014:1015\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1769\" title=\"Problem analysis: Codeforces Beta Round #69 Falling Anvils (Div. 1 - Problem B , Div. 2 - Problem D)\" target=\"_blank\">Tutorial #1</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"1018:1019\" resourceName=\"Tutorial #1\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1773\" title=\"Codeforces Beta Round #69 tutorial\" target=\"_blank\">Tutorial #2</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"1016:1017\" resourceName=\"Tutorial #2\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/77\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/77/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/77/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/77/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/77/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/77/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/77/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/77/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 185, 185);\r\n padding: 3px;\r\n margin: 1px;\r\n line-height: 1.1rem;\r\n text-transform: none;\r\n }\r\n\r\n .input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(OPENING_SPACE);\r\n }\r\n\r\n if (node.nodeType === Node.TEXT_NODE) {\r\n let s = node.textContent;\r\n if (!pre) {\r\n s = s.replace(/\\s+/g, \" \");\r\n }\r\n if (s.length > 0) {\r\n result.push(s);\r\n }\r\n }\r\n\r\n if (pre && node.tagName === \"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n result.push(nodeToText(child, node.tagName === \"PRE\").join(\"\"));\r\n });\r\n\r\n if (node.tagName === \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName === \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"A\" data-uuid=\"ps_39e4d8b2e6ba07f0b4bbad5cfa45e85e125b2c5f\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Heroes</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>The year of 2012 is coming...</p><p>According to an ancient choradrican legend in this very year, in 2012, Diablo and his brothers Mephisto and Baal will escape from hell, and innumerable hordes of demons will enslave the human world. But seven brave heroes have already gathered on the top of a mountain Arreat to protect us mere mortals from the effect of this terrible evil.</p><p>The seven great heroes are: amazon <span class=\"tex-font-style-tt\">Anka</span>, barbarian <span class=\"tex-font-style-tt\">Chapay</span>, sorceress <span class=\"tex-font-style-tt\">Cleo</span>, druid <span class=\"tex-font-style-tt\">Troll</span>, necromancer <span class=\"tex-font-style-tt\">Dracul</span>, paladin <span class=\"tex-font-style-tt\">Snowy</span> and a professional hit girl <span class=\"tex-font-style-tt\">Hexadecimal</span>. Heroes already know how much experience will be given for each of the three megabosses: <span class=\"tex-span\"><i>a</i></span> for Mephisto, <span class=\"tex-span\"><i>b</i></span> for Diablo and <span class=\"tex-span\"><i>c</i></span> for Baal.</p><p>Here's the problem: heroes are as much as seven and megabosses are only three! Then our heroes decided to split into three teams, where each team will go to destroy their own megaboss. Each team member will receive a <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/d9049b74dfcebaef5774f475b1e3ef4ed39cfc63.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> of experience, rounded down, where <span class=\"tex-span\"><i>x</i></span> will be the amount of experience for the killed megaboss and <span class=\"tex-span\"><i>y</i></span> — the number of people in the team.</p><p>Heroes do not want to hurt each other's feelings, so they want to split into teams so that the difference between the hero who received the maximum number of experience and the hero who received the minimum number of experience were minimal. Since there can be several divisions into teams, then you need to find the one in which <span class=\"tex-font-style-underline\">the total amount of liking in teams</span> were maximum.</p><p>It is known that some heroes like others. But if hero <span class=\"tex-span\"><i>p</i></span> likes hero <span class=\"tex-span\"><i>q</i></span>, this does not mean that the hero <span class=\"tex-span\"><i>q</i></span> likes hero <span class=\"tex-span\"><i>p</i></span>. No hero likes himself.</p><p>The total amount of liking in teams is the amount of ordered pairs <span class=\"tex-span\">(<i>p</i>, <i>q</i>)</span>, such that heroes <span class=\"tex-span\"><i>p</i></span> and <span class=\"tex-span\"><i>q</i></span> are in the same group, and hero <span class=\"tex-span\"><i>p</i></span> likes hero <span class=\"tex-span\"><i>q</i></span> (but it is not important if hero <span class=\"tex-span\"><i>q</i></span> likes hero <span class=\"tex-span\"><i>p</i></span>). In case of heroes <span class=\"tex-span\"><i>p</i></span> and <span class=\"tex-span\"><i>q</i></span> likes each other and they are in the same group, this pair should be counted twice, as <span class=\"tex-span\">(<i>p</i>, <i>q</i>)</span> and <span class=\"tex-span\">(<i>q</i>, <i>p</i>)</span>.</p><p>A team can consist even of a single hero, but it is important that every megaboss was destroyed. All heroes must be involved in the campaign against evil. None of the heroes can be in more than one team.</p><p>It is guaranteed that every hero is able to destroy any megaboss alone.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains a single non-negative integer <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">0 ≤ <i>n</i> ≤ 42</span>) — amount of liking between the heroes. Next <span class=\"tex-span\"><i>n</i></span> lines describe liking in the form "<span class=\"tex-font-style-tt\">p likes q</span>", meaning that the hero <span class=\"tex-font-style-tt\">p</span> likes the hero <span class=\"tex-font-style-tt\">q</span> (<span class=\"tex-font-style-tt\">p</span> <span class=\"tex-span\"> ≠ </span> <span class=\"tex-font-style-tt\">q</span>). Every liking is described in the input exactly once, no hero likes himself.</p><p>In the last line are given three integers <span class=\"tex-span\"><i>a</i></span>, <span class=\"tex-span\"><i>b</i></span> and <span class=\"tex-span\"><i>c</i></span> (<span class=\"tex-span\">1 ≤ <i>a</i>, <i>b</i>, <i>c</i> ≤ 2·10<sup class=\"upper-index\">9</sup></span>), separated by spaces: the experience for Mephisto, the experience for Diablo and experience for Baal.</p><p>In all the pretests, except for examples from the statement, the following condition is satisfied: <span class=\"tex-span\"><i>a</i> = <i>b</i> = <i>c</i></span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print two integers — the minimal difference in the experience between two heroes who will receive the maximum and minimum number of experience points, and the maximal total amount of liking in teams (the number of friendships between heroes that end up in one team).</p><p><span class=\"tex-font-style-bf\">When calculating the second answer, the team division should satisfy the difference-minimizing contraint. I.e. primary you should minimize the difference in the experience and secondary you should maximize the total amount of liking.</span></p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br />Troll likes Dracul<br />Dracul likes Anka<br />Snowy likes Hexadecimal<br />210 200 180<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>30 3<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2<br />Anka likes Chapay<br />Chapay likes Anka<br />10000 50 50<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>1950 2<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p><span class=\"tex-font-style-bf\">A note to first example:</span> it the first team should be <span class=\"tex-font-style-tt\">Dracul</span>, <span class=\"tex-font-style-tt\">Troll</span> and <span 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class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='0248ba77a5d012cbac764933a1ba82b2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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href=\"/profile/andryk\">andryk</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/andryk\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/andryk\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/andryk\">Submissions</a></li>\r\n <li><a\r\n href=\"/contests/with/andryk\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/andryk\" style=\"text-decoration:none;color:black !important;\">andryk's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1769\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1769\"> Problem analysis: Codeforces Beta Round #69 Falling Anvils (Div. 1 - Problem B , Div. 2 - Problem D)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a>,\r\n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">My solution for this task.<div><br /></div><div>We need discriminant to be above zero, so we have:</div><div>p - 4q >= 0</div><div>p >= 4q</div><div><br /></div><div>What is probability? It's relation of needed events to all. In this case needed events are all pairs (p,q) where p >= 4q</div><div>All events are all possible pairs (p,q) </div><div>How we can count them?</div><div>All possible pairs is Cartasian product. We can draw it like rectangle.</div><div>Its area - number of all possible pairs.</div><div>Also we need to find area of polygon, where p >= 4q.</div><div>For this let's draw line y=4x and needed set of points is above this line.</div><div>Our answer is relation between this area and area of whole rectangle.</div><div>I think finding areas isn't problem.</div><div>There is one case that I draw on second image, when 4b < a</div><div>There are 2 cases - when a=0 and b=0</div><div>When a=0 we have only left part of image, so answer is 0.5</div><div>When b=0 we have vertical line, so answer is 1.0</div><div>Sorry for some mistakes in English.</div><div><br /></div><div><img src=\"/predownloaded/68/b4/68b4dc0894eaf043f47f55af361b054a23fa4417.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><img src=\"/predownloaded/2b/b0/2bb01cca19ab594d6286fbf8a0ad464f9ed81684.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/77\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 1 Only)</a> </span>\r\n </div>\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/80\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 2 Only)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-4391-1769\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"4391\",\n blogEntryId: \"1769\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=geometry\" class=\"tag notice\" style=\"text-decoration: none;\">geometry</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=probability\" class=\"tag notice\" style=\"text-decoration: none;\">probability</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+35</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/andryk\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/andryk\">\n andryk\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1769#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1769#comments\">\n 6\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1779\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (6)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33856\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33856\" href=\"?#comment-33856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">GOOD 77B not , <br />Codeforces Beta Round #69 (Div. 1 Only) Problem B<br />Codeforces Beta Round #69 (Div. 2 Only) Problem D<br />this is better :D</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33864\" commentParentId=\"33856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/andryk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33864\" href=\"?#comment-33864\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33864\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"13728\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33864\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks. Title changed )</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33864 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33864 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33864\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33901\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Shuaib\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2929/avatar/963ad42782c05a17.jpg'/> </a>\n <div><a href=\"/profile/Shuaib\" title=\"Expert Shuaib\" class=\"rated-user user-blue\">Shuaib</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 07:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33901\" href=\"?#comment-33901\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33901\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2929\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33901\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent clarification (albeit weak English ;) ). Thanks a tons though.<div><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33901 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33901 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33901\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33996\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/mkagenius\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/4476/avatar/b4856becb562e36a.jpg'/> </a>\n <div><a href=\"/profile/mkagenius\" title=\"Specialist mkagenius\" class=\"rated-user user-cyan\">mkagenius</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 20:31\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33996\" href=\"?#comment-33996\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33996\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33996\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I solved it differently.<div>It is really interesting to note , people think so differently yet do the same thing.</div><div>Feynman Rocks!</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33996 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33996 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33996\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221011\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/R.A.X\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/122476/avatar/686763c746ac6e7b.jpg'/> </a>\n <div><a href=\"/profile/R.A.X\" title=\"Specialist R.A.X\" class=\"rated-user user-cyan\">R.A.X</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 13:39\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221011\" href=\"?#comment-221011\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221011\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"122476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221011\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>can't we solve this problem by following method ? for a given p we can have any q from -b to p/4. Therefore this length can be written as :- f(x) = b + x/4 we can integrate f(x) from 0 to a g(a)-g(0)=b*a-a*a/8 and the total number of ways to choose two numbers will be a*2b so probability is = ( g(a)-g(0) ) / 2ab But this is giving WA <a href=\"//codeforces.com/contest/77/submission/10611164\">code</a></p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221011 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221011 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221011\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221052\" commentParentId=\"221011\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/sepehr103\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/143200/avatar/d9c701d045b44793.jpg'/> </a>\n <div><a href=\"/profile/sepehr103\" title=\"Expert sepehr103\" class=\"rated-user user-blue\">sepehr103</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 17:37\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221052\" href=\"?#comment-221052\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-221011\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221052\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"143200\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221052\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Yes you can my dear :) if you wait another 4 years, there will be some sort of method named solve, which solves this problem without any code :)</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221052 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221052 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221052\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1779\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 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Falling Anvils"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Falling Anvils</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>For some reason in many American cartoons anvils fall from time to time onto heroes' heads. Of course, safes, wardrobes, cruisers, planes fall sometimes too... But anvils do so most of all.</p><p>Anvils come in different sizes and shapes. Quite often they get the hero stuck deep in the ground. But have you ever thought who throws anvils from the sky? From what height? We are sure that such questions have never troubled you!</p><p>It turns out that throwing an anvil properly is not an easy task at all. Let's describe one of the most popular anvil throwing models.</p><p>Let the height <span class=\"tex-span\"><i>p</i></span> of the potential victim vary in the range <span class=\"tex-span\">[0;<i>a</i>]</span> and the direction of the wind <span class=\"tex-span\"><i>q</i></span> vary in the range <span class=\"tex-span\">[ - <i>b</i>;<i>b</i>]</span>. <span class=\"tex-span\"><i>p</i></span> <span class=\"tex-font-style-bf\">and</span> <span class=\"tex-span\"><i>q</i></span> <span class=\"tex-font-style-bf\">could be any real (floating) numbers.</span> Then we can assume that the anvil will fit the toon's head perfectly only if the following equation has at least one real root: </p><center> <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/9434a010522e7b78f7a8cd60aee1eb14db5ba441.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center><p>Determine the probability with which an aim can be successfully hit by an anvil.</p><p>You can assume that the <span class=\"tex-span\"><i>p</i></span> and <span class=\"tex-span\"><i>q</i></span> coefficients are chosen equiprobably and independently in their ranges.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer <span class=\"tex-span\"><i>t</i></span> (<span class=\"tex-span\">1 ≤ <i>t</i> ≤ 10000</span>) — amount of testcases.</p><p>Each of the following <span class=\"tex-span\"><i>t</i></span> lines contain two space-separated integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> (<span class=\"tex-span\">0 ≤ <i>a</i>, <i>b</i> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p><p>Pretests contain all the tests with <span class=\"tex-span\">0 < <i>a</i> < 10, 0 ≤ <i>b</i> < 10</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>t</i></span> lines — the probability of a successful anvil hit for each testcase. The absolute or relative error of the answer should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\"> - 6</sup></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2<br/>4 2<br/>1 2<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0.6250000000<br/>0.5312500000<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"104fbf35f92e5cd413a6dfc389fd621c\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - B - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"083b05ef0c6ee70ec70abb16379799bf315c5986\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - B - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Falling Anvils</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>For some reason in many American cartoons anvils fall from time to time onto heroes' heads. Of course, safes, wardrobes, cruisers, planes fall sometimes too... But anvils do so most of all.</p><p>Anvils come in different sizes and shapes. Quite often they get the hero stuck deep in the ground. But have you ever thought who throws anvils from the sky? From what height? We are sure that such questions have never troubled you!</p><p>It turns out that throwing an anvil properly is not an easy task at all. Let's describe one of the most popular anvil throwing models.</p><p>Let the height <span class=\"tex-span\"><i>p</i></span> of the potential victim vary in the range <span class=\"tex-span\">[0;<i>a</i>]</span> and the direction of the wind <span class=\"tex-span\"><i>q</i></span> vary in the range <span class=\"tex-span\">[ - <i>b</i>;<i>b</i>]</span>. <span class=\"tex-span\"><i>p</i></span> <span class=\"tex-font-style-bf\">and</span> <span class=\"tex-span\"><i>q</i></span> <span class=\"tex-font-style-bf\">could be any real (floating) numbers.</span> Then we can assume that the anvil will fit the toon's head perfectly only if the following equation has at least one real root: </p><center> <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/9434a010522e7b78f7a8cd60aee1eb14db5ba441.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center><p>Determine the probability with which an aim can be successfully hit by an anvil.</p><p>You can assume that the <span class=\"tex-span\"><i>p</i></span> and <span class=\"tex-span\"><i>q</i></span> coefficients are chosen equiprobably and independently in their ranges.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer <span class=\"tex-span\"><i>t</i></span> (<span class=\"tex-span\">1 ≤ <i>t</i> ≤ 10000</span>) — amount of testcases.</p><p>Each of the following <span class=\"tex-span\"><i>t</i></span> lines contain two space-separated integers <span class=\"tex-span\"><i>a</i></span> and <span class=\"tex-span\"><i>b</i></span> (<span class=\"tex-span\">0 ≤ <i>a</i>, <i>b</i> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p><p>Pretests contain all the tests with <span class=\"tex-span\">0 < <i>a</i> < 10, 0 ≤ <i>b</i> < 10</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>t</i></span> lines — the probability of a successful anvil hit for each testcase. The absolute or relative error of the answer should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\"> - 6</sup></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2<br />4 2<br />1 2<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0.6250000000<br />0.5312500000<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=B]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='0248ba77a5d012cbac764933a1ba82b2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/andryk\">andryk</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/andryk\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/andryk\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/andryk\">Submissions</a></li>\r\n <li><a\r\n href=\"/contests/with/andryk\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/andryk\" style=\"text-decoration:none;color:black !important;\">andryk's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1769\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1769\"> Problem analysis: Codeforces Beta Round #69 Falling Anvils (Div. 1 - Problem B , Div. 2 - Problem D)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a>,\r\n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">My solution for this task.<div><br /></div><div>We need discriminant to be above zero, so we have:</div><div>p - 4q >= 0</div><div>p >= 4q</div><div><br /></div><div>What is probability? It's relation of needed events to all. In this case needed events are all pairs (p,q) where p >= 4q</div><div>All events are all possible pairs (p,q) </div><div>How we can count them?</div><div>All possible pairs is Cartasian product. We can draw it like rectangle.</div><div>Its area - number of all possible pairs.</div><div>Also we need to find area of polygon, where p >= 4q.</div><div>For this let's draw line y=4x and needed set of points is above this line.</div><div>Our answer is relation between this area and area of whole rectangle.</div><div>I think finding areas isn't problem.</div><div>There is one case that I draw on second image, when 4b < a</div><div>There are 2 cases - when a=0 and b=0</div><div>When a=0 we have only left part of image, so answer is 0.5</div><div>When b=0 we have vertical line, so answer is 1.0</div><div>Sorry for some mistakes in English.</div><div><br /></div><div><img src=\"/predownloaded/68/b4/68b4dc0894eaf043f47f55af361b054a23fa4417.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><img src=\"/predownloaded/2b/b0/2bb01cca19ab594d6286fbf8a0ad464f9ed81684.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/77\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 1 Only)</a> </span>\r\n </div>\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/80\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 2 Only)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-4391-1769\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"4391\",\n blogEntryId: \"1769\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=geometry\" class=\"tag notice\" style=\"text-decoration: none;\">geometry</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=probability\" class=\"tag notice\" style=\"text-decoration: none;\">probability</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+35</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/andryk\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/andryk\">\n andryk\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1769#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1769#comments\">\n 6\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1779\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (6)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33856\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33856\" href=\"?#comment-33856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">GOOD 77B not , <br />Codeforces Beta Round #69 (Div. 1 Only) Problem B<br />Codeforces Beta Round #69 (Div. 2 Only) Problem D<br />this is better :D</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33864\" commentParentId=\"33856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/andryk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33864\" href=\"?#comment-33864\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33864\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"13728\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33864\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks. Title changed )</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33864 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33864 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33864\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33901\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Shuaib\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2929/avatar/963ad42782c05a17.jpg'/> </a>\n <div><a href=\"/profile/Shuaib\" title=\"Expert Shuaib\" class=\"rated-user user-blue\">Shuaib</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 07:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33901\" href=\"?#comment-33901\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33901\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2929\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33901\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent clarification (albeit weak English ;) ). Thanks a tons though.<div><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33901 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33901 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33901\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33996\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/mkagenius\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/4476/avatar/b4856becb562e36a.jpg'/> </a>\n <div><a href=\"/profile/mkagenius\" title=\"Specialist mkagenius\" class=\"rated-user user-cyan\">mkagenius</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 20:31\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33996\" href=\"?#comment-33996\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33996\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33996\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I solved it differently.<div>It is really interesting to note , people think so differently yet do the same thing.</div><div>Feynman Rocks!</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33996 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33996 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33996\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221011\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/R.A.X\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/122476/avatar/686763c746ac6e7b.jpg'/> </a>\n <div><a href=\"/profile/R.A.X\" title=\"Specialist R.A.X\" class=\"rated-user user-cyan\">R.A.X</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 13:39\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221011\" href=\"?#comment-221011\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221011\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"122476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221011\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>can't we solve this problem by following method ? for a given p we can have any q from -b to p/4. Therefore this length can be written as :- f(x) = b + x/4 we can integrate f(x) from 0 to a g(a)-g(0)=b*a-a*a/8 and the total number of ways to choose two numbers will be a*2b so probability is = ( g(a)-g(0) ) / 2ab But this is giving WA <a href=\"//codeforces.com/contest/77/submission/10611164\">code</a></p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221011 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221011 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221011\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221052\" commentParentId=\"221011\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/sepehr103\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/143200/avatar/d9c701d045b44793.jpg'/> </a>\n <div><a href=\"/profile/sepehr103\" title=\"Expert sepehr103\" class=\"rated-user user-blue\">sepehr103</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 17:37\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221052\" href=\"?#comment-221052\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-221011\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221052\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"143200\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221052\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Yes you can my dear :) if you wait another 4 years, there will be some sort of method named solve, which solves this problem without any code :)</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221052 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221052 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221052\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1779\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 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Beavermuncher-0xFF"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Beavermuncher-0xFF</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>3 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p><span class=\"tex-font-style-it\">\"Eat a beaver, save a tree!\" — That will be the motto of ecologists' urgent meeting in Beaverley Hills.</span></p><p><span class=\"tex-font-style-it\">And the whole point is that the population of beavers on the Earth has reached incredible sizes! Each day their number increases in several times and they don't even realize how much their unhealthy obsession with trees harms the nature and the humankind. The amount of oxygen in the atmosphere has dropped to 17 per cent and, as the best minds of the world think, that is not the end.</span></p><p><span class=\"tex-font-style-it\">In the middle of the 50-s of the previous century a group of soviet scientists succeed in foreseeing the situation with beavers and worked out a secret technology to clean territory. The technology bears a mysterious title \"Beavermuncher-0xFF\". Now the fate of the planet lies on the fragile shoulders of a small group of people who has dedicated their lives to science.</span></p><p><span class=\"tex-font-style-it\">The prototype is ready, you now need to urgently carry out its experiments in practice.</span> </p><p>You are given a tree, completely occupied by beavers. A tree is a connected undirected graph without cycles. The tree consists of <span class=\"tex-span\"><i>n</i></span> vertices, the <span class=\"tex-span\"><i>i</i></span>-th vertex contains <span class=\"tex-span\"><i>k</i><sub class=\"lower-index\"><i>i</i></sub></span> beavers. </p><p>\"Beavermuncher-0xFF\" works by the following principle: being at some vertex <span class=\"tex-span\"><i>u</i></span>, it can go to the vertex <span class=\"tex-span\"><i>v</i></span>, if they are connected by an edge, and eat <span class=\"tex-font-style-bf\">exactly one</span> beaver located at the vertex <span class=\"tex-span\"><i>v</i></span>. It is impossible to move to the vertex <span class=\"tex-span\"><i>v</i></span> if there are no beavers left in <span class=\"tex-span\"><i>v</i></span>. \"Beavermuncher-0xFF\" <span class=\"tex-font-style-bf\">cannot</span> just stand at some vertex and eat beavers in it. \"Beavermuncher-0xFF\" must move without stops.</p><p>Why does the \"Beavermuncher-0xFF\" works like this? Because the developers have not provided place for the battery in it and eating beavers is necessary for converting their mass into pure energy.</p><p>It is guaranteed that the beavers will be shocked by what is happening, which is why they will not be able to move from a vertex of the tree to another one. As for the \"Beavermuncher-0xFF\", it can move along each edge in both directions while conditions described above are fulfilled.</p><p>The root of the tree is located at the vertex <span class=\"tex-span\"><i>s</i></span>. This means that the \"Beavermuncher-0xFF\" begins its mission at the vertex <span class=\"tex-span\"><i>s</i></span> and it must return there at the end of experiment, because no one is going to take it down from a high place. </p><p>Determine the maximum number of beavers \"Beavermuncher-0xFF\" can eat and return to the starting vertex.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer <span class=\"tex-span\"><i>n</i></span> — the number of vertices in the tree (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">5</sup></span>). The second line contains <span class=\"tex-span\"><i>n</i></span> integers <span class=\"tex-span\"><i>k</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>k</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">5</sup></span>) — amounts of beavers on corresponding vertices. Following <span class=\"tex-span\"><i>n</i> - 1</span> lines describe the tree. Each line contains two integers separated by space. These integers represent two vertices connected by an edge. Vertices are numbered from <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span>. The last line contains integer <span class=\"tex-span\"><i>s</i></span> — the number of the starting vertex (<span class=\"tex-span\">1 ≤ <i>s</i> ≤ <i>n</i></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print the maximum number of beavers munched by the \"Beavermuncher-0xFF\".</p><p>Please, do not use <span class=\"tex-font-style-tt\">%lld</span> specificator to write 64-bit integers in C++. It is preferred to use <span class=\"tex-font-style-tt\">cout</span> (also you may use <span class=\"tex-font-style-tt\">%I64d</span>).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5<br/>1 3 1 3 2<br/>2 5<br/>3 4<br/>4 5<br/>1 5<br/>4<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>6<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3<br/>2 1 1<br/>3 2<br/>1 2<br/>3<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br/></pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"4230195d3a3e87bccbf4f1524cd13b98\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - C - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"083b05ef0c6ee70ec70abb16379799bf315c5986\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - C - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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=== \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName === \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"C\" data-uuid=\"ps_8e0e767d2c3603dea60ab44402f03bed0b3f89d5\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Beavermuncher-0xFF</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>3 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p><span class=\"tex-font-style-it\">"Eat a beaver, save a tree!" — That will be the motto of ecologists' urgent meeting in Beaverley Hills.</span></p><p><span class=\"tex-font-style-it\">And the whole point is that the population of beavers on the Earth has reached incredible sizes! Each day their number increases in several times and they don't even realize how much their unhealthy obsession with trees harms the nature and the humankind. The amount of oxygen in the atmosphere has dropped to 17 per cent and, as the best minds of the world think, that is not the end.</span></p><p><span class=\"tex-font-style-it\">In the middle of the 50-s of the previous century a group of soviet scientists succeed in foreseeing the situation with beavers and worked out a secret technology to clean territory. The technology bears a mysterious title "Beavermuncher-0xFF". Now the fate of the planet lies on the fragile shoulders of a small group of people who has dedicated their lives to science.</span></p><p><span class=\"tex-font-style-it\">The prototype is ready, you now need to urgently carry out its experiments in practice.</span> </p><p>You are given a tree, completely occupied by beavers. A tree is a connected undirected graph without cycles. The tree consists of <span class=\"tex-span\"><i>n</i></span> vertices, the <span class=\"tex-span\"><i>i</i></span>-th vertex contains <span class=\"tex-span\"><i>k</i><sub class=\"lower-index\"><i>i</i></sub></span> beavers. </p><p>"Beavermuncher-0xFF" works by the following principle: being at some vertex <span class=\"tex-span\"><i>u</i></span>, it can go to the vertex <span class=\"tex-span\"><i>v</i></span>, if they are connected by an edge, and eat <span class=\"tex-font-style-bf\">exactly one</span> beaver located at the vertex <span class=\"tex-span\"><i>v</i></span>. It is impossible to move to the vertex <span class=\"tex-span\"><i>v</i></span> if there are no beavers left in <span class=\"tex-span\"><i>v</i></span>. "Beavermuncher-0xFF" <span class=\"tex-font-style-bf\">cannot</span> just stand at some vertex and eat beavers in it. "Beavermuncher-0xFF" must move without stops.</p><p>Why does the "Beavermuncher-0xFF" works like this? Because the developers have not provided place for the battery in it and eating beavers is necessary for converting their mass into pure energy.</p><p>It is guaranteed that the beavers will be shocked by what is happening, which is why they will not be able to move from a vertex of the tree to another one. As for the "Beavermuncher-0xFF", it can move along each edge in both directions while conditions described above are fulfilled.</p><p>The root of the tree is located at the vertex <span class=\"tex-span\"><i>s</i></span>. This means that the "Beavermuncher-0xFF" begins its mission at the vertex <span class=\"tex-span\"><i>s</i></span> and it must return there at the end of experiment, because no one is going to take it down from a high place. </p><p>Determine the maximum number of beavers "Beavermuncher-0xFF" can eat and return to the starting vertex.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer <span class=\"tex-span\"><i>n</i></span> — the number of vertices in the tree (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10<sup class=\"upper-index\">5</sup></span>). The second line contains <span class=\"tex-span\"><i>n</i></span> integers <span class=\"tex-span\"><i>k</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>k</i><sub class=\"lower-index\"><i>i</i></sub> ≤ 10<sup class=\"upper-index\">5</sup></span>) — amounts of beavers on corresponding vertices. Following <span class=\"tex-span\"><i>n</i> - 1</span> lines describe the tree. Each line contains two integers separated by space. These integers represent two vertices connected by an edge. Vertices are numbered from <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span>. The last line contains integer <span class=\"tex-span\"><i>s</i></span> — the number of the starting vertex (<span class=\"tex-span\">1 ≤ <i>s</i> ≤ <i>n</i></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print the maximum number of beavers munched by the "Beavermuncher-0xFF".</p><p>Please, do not use <span class=\"tex-font-style-tt\">%lld</span> specificator to write 64-bit integers in C++. It is preferred to use <span class=\"tex-font-style-tt\">cout</span> (also you may use <span class=\"tex-font-style-tt\">%I64d</span>).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>5<br />1 3 1 3 2<br />2 5<br />3 4<br />4 5<br />1 5<br />4<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>6<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3<br />2 1 1<br />3 2<br />1 2<br />3<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br /></pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=C]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='0248ba77a5d012cbac764933a1ba82b2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/andryk\">andryk</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/andryk\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/andryk\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/andryk\">Submissions</a></li>\r\n <li><a\r\n href=\"/contests/with/andryk\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/andryk\" style=\"text-decoration:none;color:black !important;\">andryk's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1769\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1769\"> Problem analysis: Codeforces Beta Round #69 Falling Anvils (Div. 1 - Problem B , Div. 2 - Problem D)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a>,\r\n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">My solution for this task.<div><br /></div><div>We need discriminant to be above zero, so we have:</div><div>p - 4q >= 0</div><div>p >= 4q</div><div><br /></div><div>What is probability? It's relation of needed events to all. In this case needed events are all pairs (p,q) where p >= 4q</div><div>All events are all possible pairs (p,q) </div><div>How we can count them?</div><div>All possible pairs is Cartasian product. We can draw it like rectangle.</div><div>Its area - number of all possible pairs.</div><div>Also we need to find area of polygon, where p >= 4q.</div><div>For this let's draw line y=4x and needed set of points is above this line.</div><div>Our answer is relation between this area and area of whole rectangle.</div><div>I think finding areas isn't problem.</div><div>There is one case that I draw on second image, when 4b < a</div><div>There are 2 cases - when a=0 and b=0</div><div>When a=0 we have only left part of image, so answer is 0.5</div><div>When b=0 we have vertical line, so answer is 1.0</div><div>Sorry for some mistakes in English.</div><div><br /></div><div><img src=\"/predownloaded/68/b4/68b4dc0894eaf043f47f55af361b054a23fa4417.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><img src=\"/predownloaded/2b/b0/2bb01cca19ab594d6286fbf8a0ad464f9ed81684.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/77\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 1 Only)</a> </span>\r\n </div>\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/80\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 2 Only)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-4391-1769\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"4391\",\n blogEntryId: \"1769\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=geometry\" class=\"tag notice\" style=\"text-decoration: none;\">geometry</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=probability\" class=\"tag notice\" style=\"text-decoration: none;\">probability</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+35</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/andryk\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/andryk\">\n andryk\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1769#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1769#comments\">\n 6\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1779\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (6)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33856\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33856\" href=\"?#comment-33856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">GOOD 77B not , <br />Codeforces Beta Round #69 (Div. 1 Only) Problem B<br />Codeforces Beta Round #69 (Div. 2 Only) Problem D<br />this is better :D</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33864\" commentParentId=\"33856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/andryk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33864\" href=\"?#comment-33864\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33864\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"13728\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33864\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks. Title changed )</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33864 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33864 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33864\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33901\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Shuaib\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2929/avatar/963ad42782c05a17.jpg'/> </a>\n <div><a href=\"/profile/Shuaib\" title=\"Expert Shuaib\" class=\"rated-user user-blue\">Shuaib</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 07:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33901\" href=\"?#comment-33901\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33901\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2929\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33901\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent clarification (albeit weak English ;) ). Thanks a tons though.<div><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33901 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33901 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33901\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33996\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/mkagenius\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/4476/avatar/b4856becb562e36a.jpg'/> </a>\n <div><a href=\"/profile/mkagenius\" title=\"Specialist mkagenius\" class=\"rated-user user-cyan\">mkagenius</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 20:31\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33996\" href=\"?#comment-33996\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33996\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33996\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I solved it differently.<div>It is really interesting to note , people think so differently yet do the same thing.</div><div>Feynman Rocks!</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33996 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33996 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33996\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221011\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/R.A.X\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/122476/avatar/686763c746ac6e7b.jpg'/> </a>\n <div><a href=\"/profile/R.A.X\" title=\"Specialist R.A.X\" class=\"rated-user user-cyan\">R.A.X</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 13:39\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221011\" href=\"?#comment-221011\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221011\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"122476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221011\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>can't we solve this problem by following method ? for a given p we can have any q from -b to p/4. Therefore this length can be written as :- f(x) = b + x/4 we can integrate f(x) from 0 to a g(a)-g(0)=b*a-a*a/8 and the total number of ways to choose two numbers will be a*2b so probability is = ( g(a)-g(0) ) / 2ab But this is giving WA <a href=\"//codeforces.com/contest/77/submission/10611164\">code</a></p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221011 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221011 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221011\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221052\" commentParentId=\"221011\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/sepehr103\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/143200/avatar/d9c701d045b44793.jpg'/> </a>\n <div><a href=\"/profile/sepehr103\" title=\"Expert sepehr103\" class=\"rated-user user-blue\">sepehr103</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 17:37\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221052\" href=\"?#comment-221052\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-221011\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221052\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"143200\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221052\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Yes you can my dear :) if you wait another 4 years, there will be some sort of method named solve, which solves this problem without any code :)</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221052 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221052 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221052\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1779\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 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Domino Carpet"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Domino Carpet</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p><span class=\"tex-font-style-it\">...Mike the TV greets you again!</span> </p><p><span class=\"tex-font-style-it\">Tired of the monotonous furniture? Sick of gray routine? Dreaming about dizzying changes in your humble abode? We have something to offer you!</span> </p><p><span class=\"tex-font-style-it\">This domino carpet for only $99.99 will change your life! You can lay it on the floor, hang it on the wall or even on the ceiling! Among other things ...</span> </p><p>Having watched the commercial, virus Hexadecimal also wanted to get a Domino Carpet and wanted badly to be photographed in front of it. But of course, a virus will never consent to buying a licensed Carpet! So she ordered a truck of dominoes and decided to make such a Carpet herself. </p><p>The original Domino Carpet is a field of squares <span class=\"tex-span\"><i>n</i> × <i>m</i></span> in size. Each square is half of a domino, and can be rotated either vertically or horizontally, independently from its neighbors. Vertically rotated domino halves look like this: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/dc948fb9935610f2edcaa94edaf504f4f95af644.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center> <p>And horizontally rotated halves look like this: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/6d5cf56290803c55abdec640fa97b6ceb82374ed.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center><p>Notice, that some halves looks the same in both rotations, but other halves differ.</p><p>Dominoes bought by Hexadecimal are represented by uncuttable chips <span class=\"tex-span\">1 × 2</span> in size, which can be laid either vertically or horizontally. If the chip is laid vertically, then both of it's halves should be laid vertically orientated; if the chip is laid horizontally, then both of it's halves should be laid horizontally.</p><p>The samples of valid and invalid dominoes laid vertically and horizontally are: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/8fa8d68db3606f6415610de9abeb091c7231d052.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center> <p>Virus Hexadecimal assembles her own Domino Carpet so that the following conditions are satisfied:</p><ul> <li> each carpet square is covered by a domino chip, i.e. there are no empty squares; </li><li> all domino chips lie entirely within the carpet and don't overlap with each other; </li><li> if there is a horizontal domino chip with its left half in column <span class=\"tex-span\"><i>j</i></span> then there are no horizontal domino chips with their left halves in columns <span class=\"tex-span\"><i>j</i> - 1</span> or <span class=\"tex-span\"><i>j</i> + 1</span>. </li></ul><p>Before starting to assemble her own Domino Carpet, the virus wants to know the number of ways to achieve the intended purpose modulo <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup> + 7</span>.</p><p>You can assume that the virus has an infinitely large number of dominoes of each type.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>m</i></span>, separated by a space — the size of the Domino Carpet (<span class=\"tex-span\">1 ≤ <i>n</i>, <i>m</i> ≤ 250</span>). Next <span class=\"tex-span\">4<i>n</i> + 1</span> lines contain <span class=\"tex-span\">4<i>m</i> + 1</span> symbols. </p><p>Each square of the Domino Carpet, which is a domino half, is described by a <span class=\"tex-span\">3 × 3</span> square. Symbol <span class=\"tex-font-style-tt\">'O'</span> in this square indicates the presence of a point, symbol <span class=\"tex-font-style-tt\">'.'</span> — its absence. </p><p>Each <span class=\"tex-span\">3 × 3</span> square is delineated from adjacent squares by symbols <span class=\"tex-font-style-tt\">'#'</span> as shown in the examples. </p><p>It is guaranteed that every box describes the correct half of a domino. </p><p>In all pretests the Domino Carpets have the size of <span class=\"tex-span\">2 × 2</span> and <span class=\"tex-span\">4 × 4</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number, the number of ways to assemble the Domino Carpet modulo <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup> + 7</span>, using only standard dominoes of size <span class=\"tex-span\">1 × 2</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 4<br/>#################<br/>#O..#...#O.O#...#<br/>#.O.#.O.#.O.#...#<br/>#..O#...#O.O#...#<br/>#################<br/>#O.O#OOO#O.O#...#<br/>#.O.#...#...#.O.#<br/>#O.O#OOO#O.O#...#<br/>#################<br/>#O.O#...#O.O#...#<br/>#...#...#...#.O.#<br/>#O.O#...#O.O#...#<br/>#################<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2 2<br/>#########<br/>#O.O#O.O#<br/>#.O.#...#<br/>#O.O#O.O#<br/>#########<br/>#...#O.O#<br/>#...#...#<br/>#...#O.O#<br/>#########<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2 2<br/>#########<br/>#..O#O..#<br/>#...#...#<br/>#O..#..O#<br/>#########<br/>#O..#..O#<br/>#...#...#<br/>#..O#O..#<br/>#########<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p><span class=\"tex-font-style-bf\">A note to the first example:</span> all correct ways to make Domino Carpet are represented below:</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/b96abcb2ea9a01c1e90dc1f2e7d56330b3ce0765.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center><p>And this way is incorrect:</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/9357443c252ff7e9673f82f5a07af65082e20eb0.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/77\">Codeforces Beta Round 69 (Div. 1 Only)</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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class=\"header\"><div class=\"title\">D. Domino Carpet</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p><span class=\"tex-font-style-it\">...Mike the TV greets you again!</span> </p><p><span class=\"tex-font-style-it\">Tired of the monotonous furniture? Sick of gray routine? Dreaming about dizzying changes in your humble abode? We have something to offer you!</span> </p><p><span class=\"tex-font-style-it\">This domino carpet for only $99.99 will change your life! You can lay it on the floor, hang it on the wall or even on the ceiling! Among other things ...</span> </p><p>Having watched the commercial, virus Hexadecimal also wanted to get a Domino Carpet and wanted badly to be photographed in front of it. But of course, a virus will never consent to buying a licensed Carpet! So she ordered a truck of dominoes and decided to make such a Carpet herself. </p><p>The original Domino Carpet is a field of squares <span class=\"tex-span\"><i>n</i> × <i>m</i></span> in size. Each square is half of a domino, and can be rotated either vertically or horizontally, independently from its neighbors. Vertically rotated domino halves look like this: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/dc948fb9935610f2edcaa94edaf504f4f95af644.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center> <p>And horizontally rotated halves look like this: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/6d5cf56290803c55abdec640fa97b6ceb82374ed.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center><p>Notice, that some halves looks the same in both rotations, but other halves differ.</p><p>Dominoes bought by Hexadecimal are represented by uncuttable chips <span class=\"tex-span\">1 × 2</span> in size, which can be laid either vertically or horizontally. If the chip is laid vertically, then both of it's halves should be laid vertically orientated; if the chip is laid horizontally, then both of it's halves should be laid horizontally.</p><p>The samples of valid and invalid dominoes laid vertically and horizontally are: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/8fa8d68db3606f6415610de9abeb091c7231d052.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center> <p>Virus Hexadecimal assembles her own Domino Carpet so that the following conditions are satisfied:</p><ul> <li> each carpet square is covered by a domino chip, i.e. there are no empty squares; </li><li> all domino chips lie entirely within the carpet and don't overlap with each other; </li><li> if there is a horizontal domino chip with its left half in column <span class=\"tex-span\"><i>j</i></span> then there are no horizontal domino chips with their left halves in columns <span class=\"tex-span\"><i>j</i> - 1</span> or <span class=\"tex-span\"><i>j</i> + 1</span>. </li></ul><p>Before starting to assemble her own Domino Carpet, the virus wants to know the number of ways to achieve the intended purpose modulo <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup> + 7</span>.</p><p>You can assume that the virus has an infinitely large number of dominoes of each type.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>m</i></span>, separated by a space — the size of the Domino Carpet (<span class=\"tex-span\">1 ≤ <i>n</i>, <i>m</i> ≤ 250</span>). Next <span class=\"tex-span\">4<i>n</i> + 1</span> lines contain <span class=\"tex-span\">4<i>m</i> + 1</span> symbols. </p><p>Each square of the Domino Carpet, which is a domino half, is described by a <span class=\"tex-span\">3 × 3</span> square. Symbol <span class=\"tex-font-style-tt\">'O'</span> in this square indicates the presence of a point, symbol <span class=\"tex-font-style-tt\">'.'</span> — its absence. </p><p>Each <span class=\"tex-span\">3 × 3</span> square is delineated from adjacent squares by symbols <span class=\"tex-font-style-tt\">'#'</span> as shown in the examples. </p><p>It is guaranteed that every box describes the correct half of a domino. </p><p>In all pretests the Domino Carpets have the size of <span class=\"tex-span\">2 × 2</span> and <span class=\"tex-span\">4 × 4</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number, the number of ways to assemble the Domino Carpet modulo <span class=\"tex-span\">10<sup class=\"upper-index\">9</sup> + 7</span>, using only standard dominoes of size <span class=\"tex-span\">1 × 2</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 4<br />#################<br />#O..#...#O.O#...#<br />#.O.#.O.#.O.#...#<br />#..O#...#O.O#...#<br />#################<br />#O.O#OOO#O.O#...#<br />#.O.#...#...#.O.#<br />#O.O#OOO#O.O#...#<br />#################<br />#O.O#...#O.O#...#<br />#...#...#...#.O.#<br />#O.O#...#O.O#...#<br />#################<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2 2<br />#########<br />#O.O#O.O#<br />#.O.#...#<br />#O.O#O.O#<br />#########<br />#...#O.O#<br />#...#...#<br />#...#O.O#<br />#########<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>2 2<br />#########<br />#..O#O..#<br />#...#...#<br />#O..#..O#<br />#########<br />#O..#..O#<br />#...#...#<br />#..O#O..#<br />#########<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p><span class=\"tex-font-style-bf\">A note to the first example:</span> all correct ways to make Domino Carpet are represented below:</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/b96abcb2ea9a01c1e90dc1f2e7d56330b3ce0765.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center><p>And this way is incorrect:</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/9357443c252ff7e9673f82f5a07af65082e20eb0.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=D]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = 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none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='0248ba77a5d012cbac764933a1ba82b2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/andryk\">andryk</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/andryk\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/andryk\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/andryk\">Submissions</a></li>\r\n <li><a\r\n href=\"/contests/with/andryk\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/andryk\" style=\"text-decoration:none;color:black !important;\">andryk's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1769\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1769\"> Problem analysis: Codeforces Beta Round #69 Falling Anvils (Div. 1 - Problem B , Div. 2 - Problem D)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a>,\r\n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">My solution for this task.<div><br /></div><div>We need discriminant to be above zero, so we have:</div><div>p - 4q >= 0</div><div>p >= 4q</div><div><br /></div><div>What is probability? It's relation of needed events to all. In this case needed events are all pairs (p,q) where p >= 4q</div><div>All events are all possible pairs (p,q) </div><div>How we can count them?</div><div>All possible pairs is Cartasian product. We can draw it like rectangle.</div><div>Its area - number of all possible pairs.</div><div>Also we need to find area of polygon, where p >= 4q.</div><div>For this let's draw line y=4x and needed set of points is above this line.</div><div>Our answer is relation between this area and area of whole rectangle.</div><div>I think finding areas isn't problem.</div><div>There is one case that I draw on second image, when 4b < a</div><div>There are 2 cases - when a=0 and b=0</div><div>When a=0 we have only left part of image, so answer is 0.5</div><div>When b=0 we have vertical line, so answer is 1.0</div><div>Sorry for some mistakes in English.</div><div><br /></div><div><img src=\"/predownloaded/68/b4/68b4dc0894eaf043f47f55af361b054a23fa4417.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><img src=\"/predownloaded/2b/b0/2bb01cca19ab594d6286fbf8a0ad464f9ed81684.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/77\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 1 Only)</a> </span>\r\n </div>\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/80\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 2 Only)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-4391-1769\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"4391\",\n blogEntryId: \"1769\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=geometry\" class=\"tag notice\" style=\"text-decoration: none;\">geometry</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=probability\" class=\"tag notice\" style=\"text-decoration: none;\">probability</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+35</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/andryk\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/andryk\">\n andryk\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1769#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1769#comments\">\n 6\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1779\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (6)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33856\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33856\" href=\"?#comment-33856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">GOOD 77B not , <br />Codeforces Beta Round #69 (Div. 1 Only) Problem B<br />Codeforces Beta Round #69 (Div. 2 Only) Problem D<br />this is better :D</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33864\" commentParentId=\"33856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/andryk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33864\" href=\"?#comment-33864\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33864\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"13728\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33864\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks. Title changed )</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33864 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33864 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33864\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33901\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Shuaib\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2929/avatar/963ad42782c05a17.jpg'/> </a>\n <div><a href=\"/profile/Shuaib\" title=\"Expert Shuaib\" class=\"rated-user user-blue\">Shuaib</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 07:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33901\" href=\"?#comment-33901\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33901\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2929\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33901\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent clarification (albeit weak English ;) ). Thanks a tons though.<div><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33901 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33901 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33901\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33996\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/mkagenius\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/4476/avatar/b4856becb562e36a.jpg'/> </a>\n <div><a href=\"/profile/mkagenius\" title=\"Specialist mkagenius\" class=\"rated-user user-cyan\">mkagenius</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 20:31\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33996\" href=\"?#comment-33996\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33996\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33996\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I solved it differently.<div>It is really interesting to note , people think so differently yet do the same thing.</div><div>Feynman Rocks!</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33996 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33996 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33996\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221011\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/R.A.X\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/122476/avatar/686763c746ac6e7b.jpg'/> </a>\n <div><a href=\"/profile/R.A.X\" title=\"Specialist R.A.X\" class=\"rated-user user-cyan\">R.A.X</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 13:39\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221011\" href=\"?#comment-221011\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221011\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"122476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221011\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>can't we solve this problem by following method ? for a given p we can have any q from -b to p/4. Therefore this length can be written as :- f(x) = b + x/4 we can integrate f(x) from 0 to a g(a)-g(0)=b*a-a*a/8 and the total number of ways to choose two numbers will be a*2b so probability is = ( g(a)-g(0) ) / 2ab But this is giving WA <a href=\"//codeforces.com/contest/77/submission/10611164\">code</a></p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221011 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221011 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221011\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221052\" commentParentId=\"221011\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/sepehr103\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/143200/avatar/d9c701d045b44793.jpg'/> </a>\n <div><a href=\"/profile/sepehr103\" title=\"Expert sepehr103\" class=\"rated-user user-blue\">sepehr103</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 17:37\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221052\" href=\"?#comment-221052\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-221011\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221052\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"143200\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221052\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Yes you can my dear :) if you wait another 4 years, there will be some sort of method named solve, which solves this problem without any code :)</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221052 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221052 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221052\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1779\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 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Martian Food"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Martian Food</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Have you ever tasted Martian food? Well, you should.</p><p>Their signature dish is served on a completely black plate with the radius of <span class=\"tex-span\"><i>R</i></span>, flat as a pancake.</p><p>First, they put a perfectly circular portion of the Golden Honduras on the plate. It has the radius of <span class=\"tex-span\"><i>r</i></span> and is located as close to the edge of the plate as possible staying entirely within the plate. I. e. Golden Honduras touches the edge of the plate from the inside. It is believed that the proximity of the portion of the Golden Honduras to the edge of a plate demonstrates the neatness and exactness of the Martians.</p><p>Then a perfectly round portion of Pink Guadeloupe is put on the plate. The Guadeloupe should not overlap with Honduras, should not go beyond the border of the plate, but should have the maximum radius. I. e. Pink Guadeloupe should touch the edge of the plate from the inside, and touch Golden Honduras from the outside. For it is the size of the Rose Guadeloupe that shows the generosity and the hospitality of the Martians.</p><p>Further, the first portion (of the same perfectly round shape) of Green Bull Terrier is put on the plate. It should come in contact with Honduras and Guadeloupe, should not go beyond the border of the plate and should have maximum radius.</p><p>Each of the following portions of the Green Bull Terrier must necessarily touch the Golden Honduras, the previous portion of the Green Bull Terrier and touch the edge of a plate, but should not go beyond the border.</p><p>To determine whether a stranger is worthy to touch the food, the Martians ask him to find the radius of the <span class=\"tex-span\"><i>k</i></span>-th portion of the Green Bull Terrier knowing the radii of a plate and a portion of the Golden Honduras. And are you worthy?</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer <span class=\"tex-span\"><i>t</i></span> (<span class=\"tex-span\">1 ≤ <i>t</i> ≤ 10<sup class=\"upper-index\">4</sup></span>) — amount of testcases.</p><p>Each of the following <span class=\"tex-span\"><i>t</i></span> lines contain three positive integers: the radii of the plate and a portion of the Golden Honduras <span class=\"tex-span\"><i>R</i></span> and <span class=\"tex-span\"><i>r</i></span> (<span class=\"tex-span\">1 ≤ <i>r</i> < <i>R</i> ≤ 10<sup class=\"upper-index\">4</sup></span>) and the number <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">4</sup></span>).</p><p>In the pretests <span class=\"tex-span\">1 ≤ <i>k</i> ≤ 2</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>t</i></span> lines — the radius of the <span class=\"tex-span\"><i>k</i></span>-th portion of the Green Bull Terrier for each test. The absolute or relative error of the answer should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\"> - 6</sup></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2<br/>4 3 1<br/>4 2 2<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0.9230769231<br/>0.6666666667<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>Dish from the first sample looks like this:</p><p><img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/e15f6caf257ceae8305cd82507b96dfac1b579ee.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/></p><p>Dish from the second sample looks like this:</p><p><img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/625a74ccb42332c9df05a22f8e17f81f086476d5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/></p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"d4b4912bd153f4e2de63a5b2ab9e1c39\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - E - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"083b05ef0c6ee70ec70abb16379799bf315c5986\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - E - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"E\" data-uuid=\"ps_8a13e3a0397b957e013bdc99665a0c73da8ec4ed\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Martian Food</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Have you ever tasted Martian food? Well, you should.</p><p>Their signature dish is served on a completely black plate with the radius of <span class=\"tex-span\"><i>R</i></span>, flat as a pancake.</p><p>First, they put a perfectly circular portion of the Golden Honduras on the plate. It has the radius of <span class=\"tex-span\"><i>r</i></span> and is located as close to the edge of the plate as possible staying entirely within the plate. I. e. Golden Honduras touches the edge of the plate from the inside. It is believed that the proximity of the portion of the Golden Honduras to the edge of a plate demonstrates the neatness and exactness of the Martians.</p><p>Then a perfectly round portion of Pink Guadeloupe is put on the plate. The Guadeloupe should not overlap with Honduras, should not go beyond the border of the plate, but should have the maximum radius. I. e. Pink Guadeloupe should touch the edge of the plate from the inside, and touch Golden Honduras from the outside. For it is the size of the Rose Guadeloupe that shows the generosity and the hospitality of the Martians.</p><p>Further, the first portion (of the same perfectly round shape) of Green Bull Terrier is put on the plate. It should come in contact with Honduras and Guadeloupe, should not go beyond the border of the plate and should have maximum radius.</p><p>Each of the following portions of the Green Bull Terrier must necessarily touch the Golden Honduras, the previous portion of the Green Bull Terrier and touch the edge of a plate, but should not go beyond the border.</p><p>To determine whether a stranger is worthy to touch the food, the Martians ask him to find the radius of the <span class=\"tex-span\"><i>k</i></span>-th portion of the Green Bull Terrier knowing the radii of a plate and a portion of the Golden Honduras. And are you worthy?</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains integer <span class=\"tex-span\"><i>t</i></span> (<span class=\"tex-span\">1 ≤ <i>t</i> ≤ 10<sup class=\"upper-index\">4</sup></span>) — amount of testcases.</p><p>Each of the following <span class=\"tex-span\"><i>t</i></span> lines contain three positive integers: the radii of the plate and a portion of the Golden Honduras <span class=\"tex-span\"><i>R</i></span> and <span class=\"tex-span\"><i>r</i></span> (<span class=\"tex-span\">1 ≤ <i>r</i> < <i>R</i> ≤ 10<sup class=\"upper-index\">4</sup></span>) and the number <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">4</sup></span>).</p><p>In the pretests <span class=\"tex-span\">1 ≤ <i>k</i> ≤ 2</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print <span class=\"tex-span\"><i>t</i></span> lines — the radius of the <span class=\"tex-span\"><i>k</i></span>-th portion of the Green Bull Terrier for each test. The absolute or relative error of the answer should not exceed <span class=\"tex-span\">10<sup class=\"upper-index\"> - 6</sup></span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2<br />4 3 1<br />4 2 2<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0.9230769231<br />0.6666666667<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>Dish from the first sample looks like this:</p><p><img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/e15f6caf257ceae8305cd82507b96dfac1b579ee.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></p><p>Dish from the second sample looks like this:</p><p><img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/625a74ccb42332c9df05a22f8e17f81f086476d5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /></p></div></div></div>\r\n</div>\r\n\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:29</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='0248ba77a5d012cbac764933a1ba82b2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div 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class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New 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title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/andryk\">andryk</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/andryk\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/andryk\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/andryk\">Submissions</a></li>\r\n <li><a\r\n href=\"/contests/with/andryk\">Contests</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/andryk\" style=\"text-decoration:none;color:black !important;\">andryk's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1769\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1769\"> Problem analysis: Codeforces Beta Round #69 Falling Anvils (Div. 1 - Problem B , Div. 2 - Problem D)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a>,\r\n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\">My solution for this task.<div><br /></div><div>We need discriminant to be above zero, so we have:</div><div>p - 4q >= 0</div><div>p >= 4q</div><div><br /></div><div>What is probability? It's relation of needed events to all. In this case needed events are all pairs (p,q) where p >= 4q</div><div>All events are all possible pairs (p,q) </div><div>How we can count them?</div><div>All possible pairs is Cartasian product. We can draw it like rectangle.</div><div>Its area - number of all possible pairs.</div><div>Also we need to find area of polygon, where p >= 4q.</div><div>For this let's draw line y=4x and needed set of points is above this line.</div><div>Our answer is relation between this area and area of whole rectangle.</div><div>I think finding areas isn't problem.</div><div>There is one case that I draw on second image, when 4b < a</div><div>There are 2 cases - when a=0 and b=0</div><div>When a=0 we have only left part of image, so answer is 0.5</div><div>When b=0 we have vertical line, so answer is 1.0</div><div>Sorry for some mistakes in English.</div><div><br /></div><div><img src=\"/predownloaded/68/b4/68b4dc0894eaf043f47f55af361b054a23fa4417.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><img src=\"/predownloaded/2b/b0/2bb01cca19ab594d6286fbf8a0ad464f9ed81684.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/77\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 1 Only)</a> </span>\r\n </div>\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/80\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 69 (Div. 2 Only)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-4391-1769\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"4391\",\n blogEntryId: \"1769\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=geometry\" class=\"tag notice\" style=\"text-decoration: none;\">geometry</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=probability\" class=\"tag notice\" style=\"text-decoration: none;\">probability</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+35</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1769\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/andryk\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/andryk\">\n andryk\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/19/2011 23:37\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1769#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1769#comments\">\n 6\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1779\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (6)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33856\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/iman_MC\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2447/avatar/b2ab3e48d7eb8c6.jpg'/> </a>\n <div><a href=\"/profile/iman_MC\" title=\"Pupil iman_MC\" class=\"rated-user user-green\">iman_MC</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33856\" href=\"?#comment-33856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2447\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">GOOD 77B not , <br />Codeforces Beta Round #69 (Div. 1 Only) Problem B<br />Codeforces Beta Round #69 (Div. 2 Only) Problem D<br />this is better :D</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33864\" commentParentId=\"33856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/andryk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/andryk\" title=\"Pupil andryk\" class=\"rated-user user-green\">andryk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 00:27\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33864\" href=\"?#comment-33864\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-33856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33864\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"13728\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33864\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks. Title changed )</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33864 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33864 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33864\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33901\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/Shuaib\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/2929/avatar/963ad42782c05a17.jpg'/> </a>\n <div><a href=\"/profile/Shuaib\" title=\"Expert Shuaib\" class=\"rated-user user-blue\">Shuaib</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 07:02\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33901\" href=\"?#comment-33901\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33901\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"2929\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33901\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Excellent clarification (albeit weak English ;) ). Thanks a tons though.<div><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33901 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33901 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33901\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"33996\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/mkagenius\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/4476/avatar/b4856becb562e36a.jpg'/> </a>\n <div><a href=\"/profile/mkagenius\" title=\"Specialist mkagenius\" class=\"rated-user user-cyan\">mkagenius</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/20/2011 20:31\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-33996\" href=\"?#comment-33996\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"33996\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"4476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-33996\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">I solved it differently.<div>It is really interesting to note , people think so differently yet do the same thing.</div><div>Feynman Rocks!</div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-33996 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-33996 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-33996\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221011\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/R.A.X\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/122476/avatar/686763c746ac6e7b.jpg'/> </a>\n <div><a href=\"/profile/R.A.X\" title=\"Specialist R.A.X\" class=\"rated-user user-cyan\">R.A.X</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 13:39\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221011\" href=\"?#comment-221011\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221011\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"122476\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221011\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>can't we solve this problem by following method ? for a given p we can have any q from -b to p/4. Therefore this length can be written as :- f(x) = b + x/4 we can integrate f(x) from 0 to a g(a)-g(0)=b*a-a*a/8 and the total number of ways to choose two numbers will be a*2b so probability is = ( g(a)-g(0) ) / 2ab But this is giving WA <a href=\"//codeforces.com/contest/77/submission/10611164\">code</a></p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221011 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221011 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221011\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"221052\" commentParentId=\"221011\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/sepehr103\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/143200/avatar/d9c701d045b44793.jpg'/> </a>\n <div><a href=\"/profile/sepehr103\" title=\"Expert sepehr103\" class=\"rated-user user-blue\">sepehr103</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/06/2015 17:37\">9 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-221052\" href=\"?#comment-221052\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-221011\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"221052\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"8\"\r\n data-commentUserId=\"143200\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+8</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-221052\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>Yes you can my dear :) if you wait another 4 years, there will be some sort of method named solve, which solves this problem without any code :)</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-221052 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-221052 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-221052\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1779\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 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Haiku"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Haiku</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Haiku is a genre of Japanese traditional poetry.</p><p>A haiku poem consists of 17 syllables split into three phrases, containing 5, 7 and 5 syllables correspondingly (the first phrase should contain exactly 5 syllables, the second phrase should contain exactly 7 syllables, and the third phrase should contain exactly 5 syllables). A haiku masterpiece contains a description of a moment in those three phrases. Every word is important in a small poem, which is why haiku are rich with symbols. Each word has a special meaning, a special role. The main principle of haiku is to say much using a few words.</p><p>To simplify the matter, in the given problem we will consider that the number of syllable in the phrase is equal to the number of vowel letters there. Only the following letters are regarded as vowel letters: \"<span class=\"tex-font-style-tt\">a</span>\", \"<span class=\"tex-font-style-tt\">e</span>\", \"<span class=\"tex-font-style-tt\">i</span>\", \"<span class=\"tex-font-style-tt\">o</span>\" and \"<span class=\"tex-font-style-tt\">u</span>\".</p><p>Three phases from a certain poem are given. Determine whether it is haiku or not.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The input data consists of three lines. The length of each line is between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">100</span>, inclusive. The <span class=\"tex-span\"><i>i</i></span>-th line contains the <span class=\"tex-span\"><i>i</i></span>-th phrase of the poem. Each phrase consists of one or more words, which are separated by one or more spaces. A word is a non-empty sequence of lowercase Latin letters. Leading and/or trailing spaces in phrases are allowed. Every phrase has at least one non-space character. See the example for clarification.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print \"<span class=\"tex-font-style-tt\">YES</span>\" (without the quotes) if the poem is a haiku. Otherwise, print \"<span class=\"tex-font-style-tt\">NO</span>\" (also without the quotes).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>on codeforces <br/>beta round is running<br/> a rustling of keys <br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>YES</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>how many gallons<br/>of edo s rain did you drink<br/> cuckoo<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>NO</pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"b06b685ffe3961f59d99e68ea6245825\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - A - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"5829acbfb7eac34feddfa80f3f915a41207cea56\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - A - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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class=\"delete-resource-link\" resourceIds=\"264:852\" resourceName=\"Tutorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/78\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/78/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/78/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/78/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/78/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/78/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/78/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/78/customtest\">Custom 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result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"A\" data-uuid=\"ps_9e9fe846e921b4b34a99dfb93e583011008bb5c4\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Haiku</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Haiku is a genre of Japanese traditional poetry.</p><p>A haiku poem consists of 17 syllables split into three phrases, containing 5, 7 and 5 syllables correspondingly (the first phrase should contain exactly 5 syllables, the second phrase should contain exactly 7 syllables, and the third phrase should contain exactly 5 syllables). A haiku masterpiece contains a description of a moment in those three phrases. Every word is important in a small poem, which is why haiku are rich with symbols. Each word has a special meaning, a special role. The main principle of haiku is to say much using a few words.</p><p>To simplify the matter, in the given problem we will consider that the number of syllable in the phrase is equal to the number of vowel letters there. Only the following letters are regarded as vowel letters: "<span class=\"tex-font-style-tt\">a</span>", "<span class=\"tex-font-style-tt\">e</span>", "<span class=\"tex-font-style-tt\">i</span>", "<span class=\"tex-font-style-tt\">o</span>" and "<span class=\"tex-font-style-tt\">u</span>".</p><p>Three phases from a certain poem are given. Determine whether it is haiku or not.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The input data consists of three lines. The length of each line is between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">100</span>, inclusive. The <span class=\"tex-span\"><i>i</i></span>-th line contains the <span class=\"tex-span\"><i>i</i></span>-th phrase of the poem. Each phrase consists of one or more words, which are separated by one or more spaces. A word is a non-empty sequence of lowercase Latin letters. Leading and/or trailing spaces in phrases are allowed. Every phrase has at least one non-space character. See the example for clarification.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print "<span class=\"tex-font-style-tt\">YES</span>" (without the quotes) if the poem is a haiku. Otherwise, print "<span class=\"tex-font-style-tt\">NO</span>" (also without the quotes).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>on codeforces <br />beta round is running<br /> a rustling of keys <br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>YES</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>how many gallons<br />of edo s rain did you drink<br /> cuckoo<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>NO</pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=A]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: 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class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td 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href=\"/profile/Ripatti\">Ripatti</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/Ripatti\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/Ripatti\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/Ripatti\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/Ripatti\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/Ripatti\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/Ripatti\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/Ripatti\" style=\"text-decoration:none;color:black !important;\">Ripatti's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1812\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1812\"> Solutions for Codeforces Beta Round #70 (Div. 2)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/Ripatti\" title=\"Master Ripatti\" class=\"rated-user user-orange\">Ripatti</a>,\r\n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><p><b>A.</b> You should count a number of vowels for every of three phrases. Next, you should compare this numbers with numbers 5, 7 and 5. If all is <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">matched, answer is YES, otherwise answer is NO.</span></span><br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /> <br /><br /><b>B.</b> At first, you can <span class=\"tex-span\">[<i>n</i> / 7]</span> times output string "ROYGBIV" (<span class=\"tex-span\">[]</span> is a rounding down). After than you can output "", "G", "GB", "YGB", "YGBI", "OYGBI" or "OYGBIV" according to remainder of division <span class=\"tex-span\"><i>n</i></span> by 7. A resulting string will satisfy problem's <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">requirement</span></span>s.<br /><br />You can also build answer in other way.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>C.</b> If <span class=\"tex-span\"><i>n</i></span> is even, Marsel wins - he just <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Timur.<br /><br />Now <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">consider</span></span> a case of odd <span class=\"tex-span\"><i>n</i></span>. If Timur cannot move - he is losing automatically. If he can do a move, he always can split one log into few parts that this parts cannot be splitted again. It can be done if we have find minimal <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span> and <span class=\"tex-span\"><i>t</i>|<i>m</i></span>. Next we split log into parts with length <span class=\"tex-span\"><i>t</i></span>. Thereafter Timur <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Marsel and wins.<br /><br />For checking that Timur could move or not, you can iterate over all divisors of <span class=\"tex-span\"><i>m</i></span>. If there is exists some divisor <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span>, Timar can do a move. Chech of all divisors can be done in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/57a7a3f5b8d1b2dbfe8e5c99d75603ca680ed752.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> time.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Lepetrandr\" title=\"Майор Lepetrandr\">Lepetrandr</a>.<br /><br /><br /><b>D.</b> It should be solved like a classical problem "count the number of square cells 1x1 lying inside the circle". Firstly, lets find the highest hexagon that lies inside the circle. Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.<br /><br />Thus we can count number of hexagons in each column, answer is sum of this numbers. Total number of operations is <span class=\"tex-span\"><i>O</i>(<i>n</i>)</span>.<br /><br />Few words about implementation. Coordinates of every considered point looks like <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. That's why distance between this points and (0,0) should be calculated using integers only. For example, criteria "point <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> lies inside circle of radius <span class=\"tex-span\"><i>R</i></span>" looks like <span class=\"tex-span\"><i>x</i><sup class=\"upper-index\">2</sup> + 3<i>y</i><sup class=\"upper-index\">2</sup> ≤ 4<i>R</i><sup class=\"upper-index\">2</sup></span>.<br /><br />Also you can solve this problem in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/4b2fa1e3d3d43bd9f28ff6c3140f816dc0e0621a.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. For every column of hexagons you can find number of hexagons inside circle by using binary search.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>E.</b> Firstly, let's calculate the following value:<br />dp[t][x0][y0][x][y] == true iff scientist from block (x0,y0) can reach block (x,y) in time t, considering toxic coolant.<br /><br />Secondly, let's consider a graph consisting of 4 parts:<br />1 - source (one vertex)<br />2 - first fraction (nxn vertices)<br />3 - second fraction (nxn vertices)<br />4 - sink (one vertex)<br />Each vertex of each fraction is for one block. Build edge from source to each vertex of the first fraction with capability as number of scientists in corresponding block. Build edge from each vertex of the second fraction to sink with capability as number of rescue capsules in corresponding block. Build edge from vertex (x0,y0) of the first fraction to vertex (x,y) of the second fraction iff dp[T][x0][y0][x][y]==true for at least one T. Capability of this edges is infinity.<br /><br />As one can see, value of maxflow in this graph is answer for the problem.<br /><br />Complexity of this solution is <span class=\"tex-span\"><i>O</i>(<i>tn</i><sup class=\"upper-index\">4</sup> + <i>kn</i><sup class=\"upper-index\">6</sup>)</span>, where <span class=\"tex-span\"><i>k</i></span> is maximum possible number of scientists in each block(in this problem <span class=\"tex-span\"><i>k</i> = 9</span>).<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.</p></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/78\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 70 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-440-1812\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"440\",\n blogEntryId: \"1812\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+24</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/Ripatti\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/Ripatti\">\n Ripatti\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1812#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1812#comments\">\n 16\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1822\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (15)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34769\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lijunle\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lijunle\" title=\"Expert lijunle\" class=\"rated-user user-blue\">lijunle</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 22:19\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34769\" href=\"?#comment-34769\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34769\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"3498\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34769\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">where is the english version?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34769 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34769 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34769\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34798\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 23:50\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34798\" href=\"?#comment-34798\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34798\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34798\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"14\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+14</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34798\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">For problem B it is also possible to use a randomiszed algorithm<br /><br />do<br />{<br /> randomsolution=randomCalc();<br /><br />}while(!isValid(randomsolution));</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34798 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34798 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34798\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34824\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/khanhptnk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/825/avatar/782b10196222b19a.jpg'/> </a>\n <div><a href=\"/profile/khanhptnk\" title=\"Pupil khanhptnk\" class=\"rated-user user-green\">khanhptnk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34824\" href=\"?#comment-34824\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34824\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"825\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34824\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Please fix typing e</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34824 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34824 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34824\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34825\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34825\" href=\"?#comment-34825\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34825\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34825\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div>Please elaborate on problem D, i found that counting hexagons easy initially, but as N gets bigger, my answer fails. I think I misunderstood the question even after reading it several times... For example, I don't completely understand this clarification: <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.</span><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34825 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34825 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34825\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34842\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 14:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34842\" href=\"?#comment-34842\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34842\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34842\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34842\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><img src=\"/predownloaded/8d/73/8d735c490afae2da710bde22bc2230729f8c22ee.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34842 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34842 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34842\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34846\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34846\" href=\"?#comment-34846\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34846\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34846\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34846\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I have TLE on Java with this solution. Does it actually fits to time?</div><div class=\"from-renderer\"><img src=\"/predownloaded/0c/3d/0c3d1187036bc67e800887cf7eea5c3275f9f91e.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34846 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34846 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34846\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34848\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:15\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34848\" href=\"?#comment-34848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34848\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34848\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34849\" commentParentId=\"34848\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:24\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34849\" href=\"?#comment-34849\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34848\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34849\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34849\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">? Why didn't it post? Can you tell me how to get (x, y) co-ordinate as the board is hexagonal? </div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34849 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34849 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34849\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34853\" commentParentId=\"34849\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:13\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34853\" href=\"?#comment-34853\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34849\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34853\" revisionCount=\"3\" revision=\"3\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">3</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34853\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34853\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div><br /></div></div> </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34853 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34853 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34853\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34854\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34854\" href=\"?#comment-34854\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34854\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34854\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34854\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I think you didn't get the main idea. I've updated my picture, hope it's more clear now. We do not need to check white hexagons, only red and green ones. So, total number of hexagons we need to check is O(R). This solution easily fits to time even on Python, and on C++ it works 60ms.</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34854 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34854 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34854\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34855\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34855\" href=\"?#comment-34855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks for editing. But what next? We got some hexagons, but still can not say how many hexagons <b>inside</b> this quarter of circle. Just border hexagons. What I missunderstood?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34855\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34856\" commentParentId=\"34855\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/riadwaw\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/8452/avatar/7b374574b05a50df.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/riadwaw\" title=\"International Master riadwaw\" class=\"rated-user user-orange\">riadwaw</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:32\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34856\" href=\"?#comment-34856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34855\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"8452\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">We choose highest hexagon in every column.<div>So, we can calculate it's count</div><div>(all from highest downto - highest)in every column<br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34857\" commentParentId=\"34856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:33\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34857\" href=\"?#comment-34857\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34857\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34857\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">oh. so easy. Thanks! :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34857 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34857 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34857\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34847\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:39\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34847\" href=\"?#comment-34847\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34847\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34847\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">try to check precision.<div>You can write smthng like </div><div><div>double d1 = Math.sqrt(x1 * x1 + y1 * y1);</div><div>if (d1 > R && d1 - R > 1e-6) return false;</div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34847 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34847 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34847\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"133979\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/fastholf\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/15935/avatar/c2afbb3d3535dfac.jpg'/> </a>\n <div><a href=\"/profile/fastholf\" title=\"Expert fastholf\" class=\"rated-user user-blue\">fastholf</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/19/2013 13:22\">10 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-133979\" href=\"?#comment-133979\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"133979\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15935\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-133979\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>For task B</p> <pre><code>res[0] = 'R';\nres[1] = 'O';\nres[2] = 'Y';\nres[3] = 'G';\nres[4] = 'B';\nres[5] = 'I';\nres[6] = 'V';\nint n;\ncin >> n;\nfor (int i = 7; i < n; ++i) {\n res[i] = res[i - 4];\n}\n</code></pre><p>works as well.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-133979 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-133979 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-133979\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1822\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":392,"cells":{"problem_id":{"kind":"string","value":"78B"},"contest":{"kind":"string","value":"78"},"problem":{"kind":"string","value":"B"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"B. Easter Eggs"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Easter Eggs</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>The Easter Rabbit laid <span class=\"tex-span\"><i>n</i></span> eggs in a circle and is about to paint them. </p><p>Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:</p><ul> <li> Each of the seven colors should be used to paint at least one egg. </li><li> Any four eggs <span class=\"tex-font-style-bf\">lying sequentially</span> should be painted different colors. </li></ul><p>Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The only line contains an integer <span class=\"tex-span\"><i>n</i></span> — the amount of eggs (<span class=\"tex-span\">7 ≤ <i>n</i> ≤ 100</span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print one line consisting of <span class=\"tex-span\"><i>n</i></span> characters. The <span class=\"tex-span\"><i>i</i></span>-th character should describe the color of the <span class=\"tex-span\"><i>i</i></span>-th egg in the order they lie in the circle. The colors should be represented as follows: \"<span class=\"tex-font-style-tt\">R</span>\" stands for red, \"<span class=\"tex-font-style-tt\">O</span>\" stands for orange, \"<span class=\"tex-font-style-tt\">Y</span>\" stands for yellow, \"<span class=\"tex-font-style-tt\">G</span>\" stands for green, \"<span class=\"tex-font-style-tt\">B</span>\" stands for blue, \"<span class=\"tex-font-style-tt\">I</span>\" stands for indigo, \"<span class=\"tex-font-style-tt\">V</span>\" stands for violet.</p><p>If there are several answers, print any of them.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>8<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>ROYGRBIV<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>13<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>ROYGBIVGBIVYG<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>The way the eggs will be painted in the first sample is shown on the picture: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/32fa33fe3fe2d501ac2b4aee881df9a52a892868.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"fd85e25830ce2a049f7e1ee87371f6fd\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - B - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"5829acbfb7eac34feddfa80f3f915a41207cea56\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - B - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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|| c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"B\" data-uuid=\"ps_fa9d42e6c016c3ea40052ea5974d3479850cf615\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Easter Eggs</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>The Easter Rabbit laid <span class=\"tex-span\"><i>n</i></span> eggs in a circle and is about to paint them. </p><p>Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:</p><ul> <li> Each of the seven colors should be used to paint at least one egg. </li><li> Any four eggs <span class=\"tex-font-style-bf\">lying sequentially</span> should be painted different colors. </li></ul><p>Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The only line contains an integer <span class=\"tex-span\"><i>n</i></span> — the amount of eggs (<span class=\"tex-span\">7 ≤ <i>n</i> ≤ 100</span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print one line consisting of <span class=\"tex-span\"><i>n</i></span> characters. The <span class=\"tex-span\"><i>i</i></span>-th character should describe the color of the <span class=\"tex-span\"><i>i</i></span>-th egg in the order they lie in the circle. The colors should be represented as follows: "<span class=\"tex-font-style-tt\">R</span>" stands for red, "<span class=\"tex-font-style-tt\">O</span>" stands for orange, "<span class=\"tex-font-style-tt\">Y</span>" stands for yellow, "<span class=\"tex-font-style-tt\">G</span>" stands for green, "<span class=\"tex-font-style-tt\">B</span>" stands for blue, "<span class=\"tex-font-style-tt\">I</span>" stands for indigo, "<span class=\"tex-font-style-tt\">V</span>" stands for violet.</p><p>If there are several answers, print any of them.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>8<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>ROYGRBIV<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>13<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>ROYGBIVGBIVYG<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>The way the eggs will be painted in the first sample is shown on the picture: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/32fa33fe3fe2d501ac2b4aee881df9a52a892868.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=B]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n $problem.find(\".diff-notifier-close\").click(function() {\r\n Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);\r\n $problem.find(\".diff-notifier\").hide();\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:27</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td 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class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='14353d250fe67a6eef665b9b42ca246c'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/Ripatti\">Ripatti</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/Ripatti\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/Ripatti\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/Ripatti\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/Ripatti\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/Ripatti\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/Ripatti\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/Ripatti\" style=\"text-decoration:none;color:black !important;\">Ripatti's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1812\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1812\"> Solutions for Codeforces Beta Round #70 (Div. 2)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/Ripatti\" title=\"Master Ripatti\" class=\"rated-user user-orange\">Ripatti</a>,\r\n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><p><b>A.</b> You should count a number of vowels for every of three phrases. Next, you should compare this numbers with numbers 5, 7 and 5. If all is <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">matched, answer is YES, otherwise answer is NO.</span></span><br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /> <br /><br /><b>B.</b> At first, you can <span class=\"tex-span\">[<i>n</i> / 7]</span> times output string "ROYGBIV" (<span class=\"tex-span\">[]</span> is a rounding down). After than you can output "", "G", "GB", "YGB", "YGBI", "OYGBI" or "OYGBIV" according to remainder of division <span class=\"tex-span\"><i>n</i></span> by 7. A resulting string will satisfy problem's <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">requirement</span></span>s.<br /><br />You can also build answer in other way.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>C.</b> If <span class=\"tex-span\"><i>n</i></span> is even, Marsel wins - he just <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Timur.<br /><br />Now <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">consider</span></span> a case of odd <span class=\"tex-span\"><i>n</i></span>. If Timur cannot move - he is losing automatically. If he can do a move, he always can split one log into few parts that this parts cannot be splitted again. It can be done if we have find minimal <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span> and <span class=\"tex-span\"><i>t</i>|<i>m</i></span>. Next we split log into parts with length <span class=\"tex-span\"><i>t</i></span>. Thereafter Timur <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Marsel and wins.<br /><br />For checking that Timur could move or not, you can iterate over all divisors of <span class=\"tex-span\"><i>m</i></span>. If there is exists some divisor <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span>, Timar can do a move. Chech of all divisors can be done in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/57a7a3f5b8d1b2dbfe8e5c99d75603ca680ed752.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> time.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Lepetrandr\" title=\"Майор Lepetrandr\">Lepetrandr</a>.<br /><br /><br /><b>D.</b> It should be solved like a classical problem "count the number of square cells 1x1 lying inside the circle". Firstly, lets find the highest hexagon that lies inside the circle. Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.<br /><br />Thus we can count number of hexagons in each column, answer is sum of this numbers. Total number of operations is <span class=\"tex-span\"><i>O</i>(<i>n</i>)</span>.<br /><br />Few words about implementation. Coordinates of every considered point looks like <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. That's why distance between this points and (0,0) should be calculated using integers only. For example, criteria "point <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> lies inside circle of radius <span class=\"tex-span\"><i>R</i></span>" looks like <span class=\"tex-span\"><i>x</i><sup class=\"upper-index\">2</sup> + 3<i>y</i><sup class=\"upper-index\">2</sup> ≤ 4<i>R</i><sup class=\"upper-index\">2</sup></span>.<br /><br />Also you can solve this problem in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/4b2fa1e3d3d43bd9f28ff6c3140f816dc0e0621a.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. For every column of hexagons you can find number of hexagons inside circle by using binary search.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>E.</b> Firstly, let's calculate the following value:<br />dp[t][x0][y0][x][y] == true iff scientist from block (x0,y0) can reach block (x,y) in time t, considering toxic coolant.<br /><br />Secondly, let's consider a graph consisting of 4 parts:<br />1 - source (one vertex)<br />2 - first fraction (nxn vertices)<br />3 - second fraction (nxn vertices)<br />4 - sink (one vertex)<br />Each vertex of each fraction is for one block. Build edge from source to each vertex of the first fraction with capability as number of scientists in corresponding block. Build edge from each vertex of the second fraction to sink with capability as number of rescue capsules in corresponding block. Build edge from vertex (x0,y0) of the first fraction to vertex (x,y) of the second fraction iff dp[T][x0][y0][x][y]==true for at least one T. Capability of this edges is infinity.<br /><br />As one can see, value of maxflow in this graph is answer for the problem.<br /><br />Complexity of this solution is <span class=\"tex-span\"><i>O</i>(<i>tn</i><sup class=\"upper-index\">4</sup> + <i>kn</i><sup class=\"upper-index\">6</sup>)</span>, where <span class=\"tex-span\"><i>k</i></span> is maximum possible number of scientists in each block(in this problem <span class=\"tex-span\"><i>k</i> = 9</span>).<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.</p></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/78\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 70 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-440-1812\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"440\",\n blogEntryId: \"1812\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+24</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/Ripatti\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/Ripatti\">\n Ripatti\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1812#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1812#comments\">\n 16\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1822\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (15)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34769\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lijunle\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lijunle\" title=\"Expert lijunle\" class=\"rated-user user-blue\">lijunle</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 22:19\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34769\" href=\"?#comment-34769\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34769\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"3498\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34769\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">where is the english version?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34769 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34769 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34769\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34798\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 23:50\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34798\" href=\"?#comment-34798\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34798\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34798\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"14\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+14</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34798\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">For problem B it is also possible to use a randomiszed algorithm<br /><br />do<br />{<br /> randomsolution=randomCalc();<br /><br />}while(!isValid(randomsolution));</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34798 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34798 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34798\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34824\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/khanhptnk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/825/avatar/782b10196222b19a.jpg'/> </a>\n <div><a href=\"/profile/khanhptnk\" title=\"Pupil khanhptnk\" class=\"rated-user user-green\">khanhptnk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34824\" href=\"?#comment-34824\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34824\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"825\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34824\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Please fix typing e</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34824 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34824 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34824\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34825\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34825\" href=\"?#comment-34825\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34825\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34825\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div>Please elaborate on problem D, i found that counting hexagons easy initially, but as N gets bigger, my answer fails. I think I misunderstood the question even after reading it several times... For example, I don't completely understand this clarification: <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.</span><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34825 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34825 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34825\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34842\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 14:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34842\" href=\"?#comment-34842\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34842\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34842\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34842\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><img src=\"/predownloaded/8d/73/8d735c490afae2da710bde22bc2230729f8c22ee.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34842 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34842 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34842\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34846\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34846\" href=\"?#comment-34846\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34846\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34846\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34846\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I have TLE on Java with this solution. Does it actually fits to time?</div><div class=\"from-renderer\"><img src=\"/predownloaded/0c/3d/0c3d1187036bc67e800887cf7eea5c3275f9f91e.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34846 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34846 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34846\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34848\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:15\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34848\" href=\"?#comment-34848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34848\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34848\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34849\" commentParentId=\"34848\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:24\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34849\" href=\"?#comment-34849\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34848\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34849\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34849\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">? Why didn't it post? Can you tell me how to get (x, y) co-ordinate as the board is hexagonal? </div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34849 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34849 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34849\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34853\" commentParentId=\"34849\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:13\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34853\" href=\"?#comment-34853\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34849\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34853\" revisionCount=\"3\" revision=\"3\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">3</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34853\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34853\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div><br /></div></div> </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34853 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34853 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34853\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34854\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34854\" href=\"?#comment-34854\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34854\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34854\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34854\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I think you didn't get the main idea. I've updated my picture, hope it's more clear now. We do not need to check white hexagons, only red and green ones. So, total number of hexagons we need to check is O(R). This solution easily fits to time even on Python, and on C++ it works 60ms.</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34854 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34854 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34854\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34855\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34855\" href=\"?#comment-34855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks for editing. But what next? We got some hexagons, but still can not say how many hexagons <b>inside</b> this quarter of circle. Just border hexagons. What I missunderstood?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34855\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34856\" commentParentId=\"34855\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/riadwaw\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/8452/avatar/7b374574b05a50df.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/riadwaw\" title=\"International Master riadwaw\" class=\"rated-user user-orange\">riadwaw</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:32\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34856\" href=\"?#comment-34856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34855\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"8452\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">We choose highest hexagon in every column.<div>So, we can calculate it's count</div><div>(all from highest downto - highest)in every column<br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34857\" commentParentId=\"34856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:33\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34857\" href=\"?#comment-34857\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34857\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34857\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">oh. so easy. Thanks! :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34857 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34857 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34857\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34847\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:39\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34847\" href=\"?#comment-34847\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34847\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34847\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">try to check precision.<div>You can write smthng like </div><div><div>double d1 = Math.sqrt(x1 * x1 + y1 * y1);</div><div>if (d1 > R && d1 - R > 1e-6) return false;</div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34847 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34847 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34847\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"133979\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/fastholf\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/15935/avatar/c2afbb3d3535dfac.jpg'/> </a>\n <div><a href=\"/profile/fastholf\" title=\"Expert fastholf\" class=\"rated-user user-blue\">fastholf</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/19/2013 13:22\">10 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-133979\" href=\"?#comment-133979\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"133979\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15935\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-133979\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>For task B</p> <pre><code>res[0] = 'R';\nres[1] = 'O';\nres[2] = 'Y';\nres[3] = 'G';\nres[4] = 'B';\nres[5] = 'I';\nres[6] = 'V';\nint n;\ncin >> n;\nfor (int i = 7; i < n; ++i) {\n res[i] = res[i - 4];\n}\n</code></pre><p>works as well.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-133979 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-133979 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-133979\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1822\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":393,"cells":{"problem_id":{"kind":"string","value":"78C"},"contest":{"kind":"string","value":"78"},"problem":{"kind":"string","value":"C"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"C. Beaver Game"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Beaver Game</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Two beavers, Timur and Marsel, play the following game.</p><p>There are <span class=\"tex-span\"><i>n</i></span> logs, each of exactly <span class=\"tex-span\"><i>m</i></span> meters in length. The beavers move in turns. For each move a beaver chooses a log and gnaws it into some number (more than one) of <span class=\"tex-font-style-bf\">equal</span> parts, the length of each one is expressed by an integer and is no less than <span class=\"tex-span\"><i>k</i></span> meters. Each resulting part is also a log which can be gnawed in future by any beaver. The beaver that can't make a move loses. Thus, the other beaver wins.</p><p>Timur makes the first move. The players play in the optimal way. Determine the winner.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>m</i></span>, <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i>, <i>m</i>, <i>k</i> ≤ 10<sup class=\"upper-index\">9</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print \"<span class=\"tex-font-style-tt\">Timur</span>\", if Timur wins, or \"<span class=\"tex-font-style-tt\">Marsel</span>\", if Marsel wins. You should print everything without the quotes. </p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>1 15 4<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Timur</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 9 5<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Marsel</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first sample the beavers only have one log, of <span class=\"tex-span\">15</span> meters in length. Timur moves first. The only move he can do is to split the log into <span class=\"tex-span\">3</span> parts each <span class=\"tex-span\">5</span> meters in length. Then Marsel moves but he can't split any of the resulting logs, as <span class=\"tex-span\"><i>k</i> = 4</span>. Thus, the winner is Timur.</p><p>In the second example the beavers have <span class=\"tex-span\">4</span> logs <span class=\"tex-span\">9</span> meters in length. Timur can't split any of them, so that the resulting parts possessed the length of not less than <span class=\"tex-span\">5</span> meters, that's why he loses instantly.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"a830f4d2dcfb99543bdd7f294443e2f0\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - C - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"5829acbfb7eac34feddfa80f3f915a41207cea56\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - C - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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=== \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"C\" data-uuid=\"ps_911e40b9b20423daadcd4c3d9e937dd3d19f2cd0\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Beaver Game</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Two beavers, Timur and Marsel, play the following game.</p><p>There are <span class=\"tex-span\"><i>n</i></span> logs, each of exactly <span class=\"tex-span\"><i>m</i></span> meters in length. The beavers move in turns. For each move a beaver chooses a log and gnaws it into some number (more than one) of <span class=\"tex-font-style-bf\">equal</span> parts, the length of each one is expressed by an integer and is no less than <span class=\"tex-span\"><i>k</i></span> meters. Each resulting part is also a log which can be gnawed in future by any beaver. The beaver that can't make a move loses. Thus, the other beaver wins.</p><p>Timur makes the first move. The players play in the optimal way. Determine the winner.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>m</i></span>, <span class=\"tex-span\"><i>k</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i>, <i>m</i>, <i>k</i> ≤ 10<sup class=\"upper-index\">9</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print "<span class=\"tex-font-style-tt\">Timur</span>", if Timur wins, or "<span class=\"tex-font-style-tt\">Marsel</span>", if Marsel wins. You should print everything without the quotes. </p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>1 15 4<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Timur</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 9 5<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Marsel</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first sample the beavers only have one log, of <span class=\"tex-span\">15</span> meters in length. Timur moves first. The only move he can do is to split the log into <span class=\"tex-span\">3</span> parts each <span class=\"tex-span\">5</span> meters in length. Then Marsel moves but he can't split any of the resulting logs, as <span class=\"tex-span\"><i>k</i> = 4</span>. Thus, the winner is Timur.</p><p>In the second example the beavers have <span class=\"tex-span\">4</span> logs <span class=\"tex-span\">9</span> meters in length. Timur can't split any of them, so that the resulting parts possessed the length of not less than <span class=\"tex-span\">5</span> meters, that's why he loses instantly.</p></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=C]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n $problem.find(\".diff-notifier-close\").click(function() {\r\n Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);\r\n $problem.find(\".diff-notifier\").hide();\r\n });\r\n\r\n $problem.find(\"a.view-changes\").click(function() {\r\n $.post(\"/data/diff\", {action: \"getDiff\", a: previousStatementText, b: 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:27</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. 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none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='14353d250fe67a6eef665b9b42ca246c'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/Ripatti\">Ripatti</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/Ripatti\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/Ripatti\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/Ripatti\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/Ripatti\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/Ripatti\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/Ripatti\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/Ripatti\" style=\"text-decoration:none;color:black !important;\">Ripatti's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1812\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1812\"> Solutions for Codeforces Beta Round #70 (Div. 2)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/Ripatti\" title=\"Master Ripatti\" class=\"rated-user user-orange\">Ripatti</a>,\r\n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><p><b>A.</b> You should count a number of vowels for every of three phrases. Next, you should compare this numbers with numbers 5, 7 and 5. If all is <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">matched, answer is YES, otherwise answer is NO.</span></span><br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /> <br /><br /><b>B.</b> At first, you can <span class=\"tex-span\">[<i>n</i> / 7]</span> times output string "ROYGBIV" (<span class=\"tex-span\">[]</span> is a rounding down). After than you can output "", "G", "GB", "YGB", "YGBI", "OYGBI" or "OYGBIV" according to remainder of division <span class=\"tex-span\"><i>n</i></span> by 7. A resulting string will satisfy problem's <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">requirement</span></span>s.<br /><br />You can also build answer in other way.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>C.</b> If <span class=\"tex-span\"><i>n</i></span> is even, Marsel wins - he just <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Timur.<br /><br />Now <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">consider</span></span> a case of odd <span class=\"tex-span\"><i>n</i></span>. If Timur cannot move - he is losing automatically. If he can do a move, he always can split one log into few parts that this parts cannot be splitted again. It can be done if we have find minimal <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span> and <span class=\"tex-span\"><i>t</i>|<i>m</i></span>. Next we split log into parts with length <span class=\"tex-span\"><i>t</i></span>. Thereafter Timur <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Marsel and wins.<br /><br />For checking that Timur could move or not, you can iterate over all divisors of <span class=\"tex-span\"><i>m</i></span>. If there is exists some divisor <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span>, Timar can do a move. Chech of all divisors can be done in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/57a7a3f5b8d1b2dbfe8e5c99d75603ca680ed752.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> time.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Lepetrandr\" title=\"Майор Lepetrandr\">Lepetrandr</a>.<br /><br /><br /><b>D.</b> It should be solved like a classical problem "count the number of square cells 1x1 lying inside the circle". Firstly, lets find the highest hexagon that lies inside the circle. Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.<br /><br />Thus we can count number of hexagons in each column, answer is sum of this numbers. Total number of operations is <span class=\"tex-span\"><i>O</i>(<i>n</i>)</span>.<br /><br />Few words about implementation. Coordinates of every considered point looks like <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. That's why distance between this points and (0,0) should be calculated using integers only. For example, criteria "point <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> lies inside circle of radius <span class=\"tex-span\"><i>R</i></span>" looks like <span class=\"tex-span\"><i>x</i><sup class=\"upper-index\">2</sup> + 3<i>y</i><sup class=\"upper-index\">2</sup> ≤ 4<i>R</i><sup class=\"upper-index\">2</sup></span>.<br /><br />Also you can solve this problem in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/4b2fa1e3d3d43bd9f28ff6c3140f816dc0e0621a.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. For every column of hexagons you can find number of hexagons inside circle by using binary search.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>E.</b> Firstly, let's calculate the following value:<br />dp[t][x0][y0][x][y] == true iff scientist from block (x0,y0) can reach block (x,y) in time t, considering toxic coolant.<br /><br />Secondly, let's consider a graph consisting of 4 parts:<br />1 - source (one vertex)<br />2 - first fraction (nxn vertices)<br />3 - second fraction (nxn vertices)<br />4 - sink (one vertex)<br />Each vertex of each fraction is for one block. Build edge from source to each vertex of the first fraction with capability as number of scientists in corresponding block. Build edge from each vertex of the second fraction to sink with capability as number of rescue capsules in corresponding block. Build edge from vertex (x0,y0) of the first fraction to vertex (x,y) of the second fraction iff dp[T][x0][y0][x][y]==true for at least one T. Capability of this edges is infinity.<br /><br />As one can see, value of maxflow in this graph is answer for the problem.<br /><br />Complexity of this solution is <span class=\"tex-span\"><i>O</i>(<i>tn</i><sup class=\"upper-index\">4</sup> + <i>kn</i><sup class=\"upper-index\">6</sup>)</span>, where <span class=\"tex-span\"><i>k</i></span> is maximum possible number of scientists in each block(in this problem <span class=\"tex-span\"><i>k</i> = 9</span>).<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.</p></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/78\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 70 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-440-1812\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"440\",\n blogEntryId: \"1812\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+24</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/Ripatti\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/Ripatti\">\n Ripatti\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1812#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1812#comments\">\n 16\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1822\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (15)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34769\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lijunle\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lijunle\" title=\"Expert lijunle\" class=\"rated-user user-blue\">lijunle</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 22:19\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34769\" href=\"?#comment-34769\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34769\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"3498\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34769\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">where is the english version?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34769 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34769 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34769\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34798\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 23:50\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34798\" href=\"?#comment-34798\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34798\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34798\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"14\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+14</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34798\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">For problem B it is also possible to use a randomiszed algorithm<br /><br />do<br />{<br /> randomsolution=randomCalc();<br /><br />}while(!isValid(randomsolution));</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34798 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34798 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34798\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34824\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/khanhptnk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/825/avatar/782b10196222b19a.jpg'/> </a>\n <div><a href=\"/profile/khanhptnk\" title=\"Pupil khanhptnk\" class=\"rated-user user-green\">khanhptnk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34824\" href=\"?#comment-34824\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34824\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"825\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34824\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Please fix typing e</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34824 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34824 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34824\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34825\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34825\" href=\"?#comment-34825\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34825\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34825\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div>Please elaborate on problem D, i found that counting hexagons easy initially, but as N gets bigger, my answer fails. I think I misunderstood the question even after reading it several times... For example, I don't completely understand this clarification: <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.</span><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34825 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34825 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34825\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34842\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 14:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34842\" href=\"?#comment-34842\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34842\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34842\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34842\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><img src=\"/predownloaded/8d/73/8d735c490afae2da710bde22bc2230729f8c22ee.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34842 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34842 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34842\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34846\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34846\" href=\"?#comment-34846\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34846\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34846\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34846\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I have TLE on Java with this solution. Does it actually fits to time?</div><div class=\"from-renderer\"><img src=\"/predownloaded/0c/3d/0c3d1187036bc67e800887cf7eea5c3275f9f91e.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34846 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34846 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34846\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34848\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:15\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34848\" href=\"?#comment-34848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34848\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34848\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34849\" commentParentId=\"34848\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:24\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34849\" href=\"?#comment-34849\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34848\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34849\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34849\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">? Why didn't it post? Can you tell me how to get (x, y) co-ordinate as the board is hexagonal? </div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34849 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34849 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34849\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34853\" commentParentId=\"34849\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:13\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34853\" href=\"?#comment-34853\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34849\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34853\" revisionCount=\"3\" revision=\"3\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">3</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34853\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34853\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div><br /></div></div> </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34853 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34853 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34853\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34854\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34854\" href=\"?#comment-34854\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34854\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34854\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34854\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I think you didn't get the main idea. I've updated my picture, hope it's more clear now. We do not need to check white hexagons, only red and green ones. So, total number of hexagons we need to check is O(R). This solution easily fits to time even on Python, and on C++ it works 60ms.</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34854 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34854 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34854\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34855\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34855\" href=\"?#comment-34855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks for editing. But what next? We got some hexagons, but still can not say how many hexagons <b>inside</b> this quarter of circle. Just border hexagons. What I missunderstood?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34855\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34856\" commentParentId=\"34855\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/riadwaw\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/8452/avatar/7b374574b05a50df.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/riadwaw\" title=\"International Master riadwaw\" class=\"rated-user user-orange\">riadwaw</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:32\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34856\" href=\"?#comment-34856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34855\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"8452\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">We choose highest hexagon in every column.<div>So, we can calculate it's count</div><div>(all from highest downto - highest)in every column<br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34857\" commentParentId=\"34856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:33\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34857\" href=\"?#comment-34857\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34857\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34857\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">oh. so easy. Thanks! :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34857 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34857 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34857\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34847\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:39\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34847\" href=\"?#comment-34847\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34847\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34847\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">try to check precision.<div>You can write smthng like </div><div><div>double d1 = Math.sqrt(x1 * x1 + y1 * y1);</div><div>if (d1 > R && d1 - R > 1e-6) return false;</div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34847 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34847 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34847\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"133979\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/fastholf\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/15935/avatar/c2afbb3d3535dfac.jpg'/> </a>\n <div><a href=\"/profile/fastholf\" title=\"Expert fastholf\" class=\"rated-user user-blue\">fastholf</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/19/2013 13:22\">10 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-133979\" href=\"?#comment-133979\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"133979\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15935\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-133979\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>For task B</p> <pre><code>res[0] = 'R';\nres[1] = 'O';\nres[2] = 'Y';\nres[3] = 'G';\nres[4] = 'B';\nres[5] = 'I';\nres[6] = 'V';\nint n;\ncin >> n;\nfor (int i = 7; i < n; ++i) {\n res[i] = res[i - 4];\n}\n</code></pre><p>works as well.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-133979 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-133979 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-133979\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1822\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":394,"cells":{"problem_id":{"kind":"string","value":"78D"},"contest":{"kind":"string","value":"78"},"problem":{"kind":"string","value":"D"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"D. Archer's Shot"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Archer's Shot</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>A breakthrough among computer games, \"Civilization XIII\", is striking in its scale and elaborate details. Let's take a closer look at one of them.</p><p>The playing area in the game is split into congruent cells that are regular hexagons. The side of each cell is equal to 1. Each unit occupies exactly one cell of the playing field. The field can be considered infinite. </p><p>Let's take a look at the battle unit called an \"Archer\". Each archer has a parameter \"shot range\". It's a positive integer that determines the radius of the circle in which the archer can hit a target. The center of the circle coincides with the center of the cell in which the archer stays. A cell is considered to be under the archer’s fire if and only if all points of this cell, including border points are located inside the circle or on its border.</p><p>The picture below shows the borders for shot ranges equal to <span class=\"tex-span\">3</span>, <span class=\"tex-span\">4</span> and <span class=\"tex-span\">5</span>. The archer is depicted as <span class=\"tex-span\"><i>A</i></span>. </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/357492d6c820da466bc70e64bbe7cc977eb72b68.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center><p>Find the number of cells that are under fire for some archer.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first and only line of input contains a single positive integer <span class=\"tex-span\"><i>k</i></span> — the archer's shot range (<span class=\"tex-span\">1 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print the single number, the number of cells that are under fire.</p><p>Please do not use the <span class=\"tex-font-style-tt\">%lld</span> specificator to read or write 64-bit integers in C++. It is preferred to use the <span class=\"tex-font-style-tt\">cout</span> stream (also you may use the <span class=\"tex-font-style-tt\">%I64d</span> specificator).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>7</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>13</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>5<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>19</pre></div></div></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"7048bd4f59173fa76d3a0796b41eb2ad\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - D - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"5829acbfb7eac34feddfa80f3f915a41207cea56\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - D - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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Just register for practice and you will be able to submit solutions.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"\" method=\"post\"><input type='hidden' name='csrf_token' value='7048bd4f59173fa76d3a0796b41eb2ad'/>\r\n <input type=\"hidden\" name=\"action\" value=\"registerForPractice\"/>\r\n <input type=\"submit\" name=\"submit\" value=\"Register for practice\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div> \r\n</div>\r\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox ContestVirtualFrame borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Virtual participation <i class=\"sidebar-caption-icon las la-angle-down\"></i>\r\n\n <div class=\"top-links\">\n </div>\n </div>\n<div style=\" \"\r\n\r\n data-page-url=\"/data/sidebarFrames\"\r\n\r\n>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/78/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Binary search\">\r\n binary search\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Geometry, computational geometry\">\r\n geometry\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Mathematics including integration, differential equations, etc\">\r\n math\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Two pointers\">\r\n two pointers\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *2300\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='7048bd4f59173fa76d3a0796b41eb2ad'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"420\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='7048bd4f59173fa76d3a0796b41eb2ad'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"420\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box img\").click(function () {\r\n var tagName = $(this).attr(\"value\");\r\n Codeforces.confirm(\"Are you sure you want to remove this tag?\", function () {\r\n $(\"#removeTagForm input[name=tagName]\").val(tagName);\r\n $(\"#removeTagForm\").submit();\r\n }, function () {\r\n }, \"Yes\", \"No\");\r\n });\r\n\r\n $(\"#addTagLink\").click(function () {\r\n $(this).hide();\r\n $(\"#addTagLabel\").show();\r\n return false;\r\n });\r\n\r\n $(\"#addTagSelect\").change(function () {\r\n var tagName = $(this).val();\r\n if (tagName === \"\") {\r\n $(\"#addTagLabel\").hide();\r\n $(\"#addTagLink\").show();\r\n } else {\r\n $(\"#addTagForm input[name=tagName]\").val(tagName);\r\n $(\"#addTagForm\").submit();\r\n }\r\n });\r\n</script>\r\n\r\n<style type=\"text/css\">\r\n#new-resource-form tr td {\r\npadding-top: 0.5em;\r\n}\r\n#new-resource-form input:not([type=\"submit\"]) {\r\nfont-size: 0.8em;\r\n}\r\n#new-resource-form select {\r\nfont-size: 0.8em;\r\n}\r\n.new-resource-error {\r\nfont-size: 0.8em;\r\n}\r\n.resource-locale {\r\ncolor: #666;\r\nfont-family: Consolas, \"Andale Mono WT\", \"Andale Mono\", \"Lucida Console\", \"Lucida Sans Typewriter\", \"DejaVu Sans Mono\", \"Bitstream Vera Sans Mono\", \"Liberation Mono\", \"Nimbus Mono L\", Monaco, \"Courier New\", Courier, monospace;\r\n}\r\n</style>\r\n<div class=\"roundbox sidebox sidebar-menu borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Contest materials\n<div class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1808\" title=\"Codeforces Beta Round #70 (Div. 2)\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"262:263\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1812\" title=\"Solutions for Codeforces Beta Round #70 (Div. 2)\" target=\"_blank\">Tutorial</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"264:852\" resourceName=\"Tutorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/78\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/78/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/78/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/78/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/78/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/78/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/78/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/78/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 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\"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n result.push(nodeToText(child, node.tagName === \"PRE\").join(\"\"));\r\n });\r\n\r\n if (node.tagName === \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName === \"PRE\"\r\n || node.tagName === \"UL\"\r\n || node.tagName === \"LI\"\r\n ) {\r\n result.push(\"\\n\");\r\n }\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(CLOSING_SPACE);\r\n }\r\n\r\n return result;\r\n }\r\n\r\n const isSpecial = function (c) {\r\n return c === ',' || c === '.' || c === ';' || c === ')' || c === ' ';\r\n }\r\n\r\n const convertStatementToText = function(statmentNode) {\r\n const text = nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && 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class=\"header\"><div class=\"title\">D. Archer's Shot</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>A breakthrough among computer games, "Civilization XIII", is striking in its scale and elaborate details. Let's take a closer look at one of them.</p><p>The playing area in the game is split into congruent cells that are regular hexagons. The side of each cell is equal to 1. Each unit occupies exactly one cell of the playing field. The field can be considered infinite. </p><p>Let's take a look at the battle unit called an "Archer". Each archer has a parameter "shot range". It's a positive integer that determines the radius of the circle in which the archer can hit a target. The center of the circle coincides with the center of the cell in which the archer stays. A cell is considered to be under the archer’s fire if and only if all points of this cell, including border points are located inside the circle or on its border.</p><p>The picture below shows the borders for shot ranges equal to <span class=\"tex-span\">3</span>, <span class=\"tex-span\">4</span> and <span class=\"tex-span\">5</span>. The archer is depicted as <span class=\"tex-span\"><i>A</i></span>. </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/357492d6c820da466bc70e64bbe7cc977eb72b68.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center><p>Find the number of cells that are under fire for some archer.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first and only line of input contains a single positive integer <span class=\"tex-span\"><i>k</i></span> — the archer's shot range (<span class=\"tex-span\">1 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">6</sup></span>).</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print the single number, the number of cells that are under fire.</p><p>Please do not use the <span class=\"tex-font-style-tt\">%lld</span> specificator to read or write 64-bit integers in C++. It is preferred to use the <span class=\"tex-font-style-tt\">cout</span> stream (also you may use the <span class=\"tex-font-style-tt\">%I64d</span> specificator).</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>7</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>13</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>5<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>19</pre></div></div></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=D]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n\r\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='14353d250fe67a6eef665b9b42ca246c'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> →\r\n <a href=\"/blog/entry/121163\">AtCoder Regular Contest 166 Announcement</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/windva\" title=\"Grandmaster windva\" class=\"rated-user user-red\">windva</a> →\r\n <a href=\"/blog/entry/120644\">Codeforces Round 899 (Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Misa-Misa\" title=\"Expert Misa-Misa\" class=\"rated-user user-blue\">Misa-Misa</a> →\r\n <a href=\"/blog/entry/121157\">Someone please help me understand this.</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/shivam565\" title=\"Specialist shivam565\" class=\"rated-user user-cyan\">shivam565</a> →\r\n <a href=\"/blog/entry/108348\">Total number of subarrays with sum atmost k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n </ul>\r\n </div>\r\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/recent-actions\">Detailed →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n</div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li><a\r\n href=\"/profile/Ripatti\">Ripatti</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/Ripatti\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/Ripatti\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/Ripatti\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/Ripatti\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/Ripatti\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/Ripatti\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/Ripatti\" style=\"text-decoration:none;color:black !important;\">Ripatti's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1812\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1812\"> Solutions for Codeforces Beta Round #70 (Div. 2)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/Ripatti\" title=\"Master Ripatti\" class=\"rated-user user-orange\">Ripatti</a>,\r\n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><p><b>A.</b> You should count a number of vowels for every of three phrases. Next, you should compare this numbers with numbers 5, 7 and 5. If all is <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">matched, answer is YES, otherwise answer is NO.</span></span><br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /> <br /><br /><b>B.</b> At first, you can <span class=\"tex-span\">[<i>n</i> / 7]</span> times output string "ROYGBIV" (<span class=\"tex-span\">[]</span> is a rounding down). After than you can output "", "G", "GB", "YGB", "YGBI", "OYGBI" or "OYGBIV" according to remainder of division <span class=\"tex-span\"><i>n</i></span> by 7. A resulting string will satisfy problem's <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">requirement</span></span>s.<br /><br />You can also build answer in other way.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>C.</b> If <span class=\"tex-span\"><i>n</i></span> is even, Marsel wins - he just <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Timur.<br /><br />Now <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">consider</span></span> a case of odd <span class=\"tex-span\"><i>n</i></span>. If Timur cannot move - he is losing automatically. If he can do a move, he always can split one log into few parts that this parts cannot be splitted again. It can be done if we have find minimal <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span> and <span class=\"tex-span\"><i>t</i>|<i>m</i></span>. Next we split log into parts with length <span class=\"tex-span\"><i>t</i></span>. Thereafter Timur <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Marsel and wins.<br /><br />For checking that Timur could move or not, you can iterate over all divisors of <span class=\"tex-span\"><i>m</i></span>. If there is exists some divisor <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span>, Timar can do a move. Chech of all divisors can be done in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/57a7a3f5b8d1b2dbfe8e5c99d75603ca680ed752.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> time.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Lepetrandr\" title=\"Майор Lepetrandr\">Lepetrandr</a>.<br /><br /><br /><b>D.</b> It should be solved like a classical problem "count the number of square cells 1x1 lying inside the circle". Firstly, lets find the highest hexagon that lies inside the circle. Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.<br /><br />Thus we can count number of hexagons in each column, answer is sum of this numbers. Total number of operations is <span class=\"tex-span\"><i>O</i>(<i>n</i>)</span>.<br /><br />Few words about implementation. Coordinates of every considered point looks like <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. That's why distance between this points and (0,0) should be calculated using integers only. For example, criteria "point <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> lies inside circle of radius <span class=\"tex-span\"><i>R</i></span>" looks like <span class=\"tex-span\"><i>x</i><sup class=\"upper-index\">2</sup> + 3<i>y</i><sup class=\"upper-index\">2</sup> ≤ 4<i>R</i><sup class=\"upper-index\">2</sup></span>.<br /><br />Also you can solve this problem in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/4b2fa1e3d3d43bd9f28ff6c3140f816dc0e0621a.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. For every column of hexagons you can find number of hexagons inside circle by using binary search.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>E.</b> Firstly, let's calculate the following value:<br />dp[t][x0][y0][x][y] == true iff scientist from block (x0,y0) can reach block (x,y) in time t, considering toxic coolant.<br /><br />Secondly, let's consider a graph consisting of 4 parts:<br />1 - source (one vertex)<br />2 - first fraction (nxn vertices)<br />3 - second fraction (nxn vertices)<br />4 - sink (one vertex)<br />Each vertex of each fraction is for one block. Build edge from source to each vertex of the first fraction with capability as number of scientists in corresponding block. Build edge from each vertex of the second fraction to sink with capability as number of rescue capsules in corresponding block. Build edge from vertex (x0,y0) of the first fraction to vertex (x,y) of the second fraction iff dp[T][x0][y0][x][y]==true for at least one T. Capability of this edges is infinity.<br /><br />As one can see, value of maxflow in this graph is answer for the problem.<br /><br />Complexity of this solution is <span class=\"tex-span\"><i>O</i>(<i>tn</i><sup class=\"upper-index\">4</sup> + <i>kn</i><sup class=\"upper-index\">6</sup>)</span>, where <span class=\"tex-span\"><i>k</i></span> is maximum possible number of scientists in each block(in this problem <span class=\"tex-span\"><i>k</i> = 9</span>).<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.</p></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/78\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 70 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-440-1812\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"440\",\n blogEntryId: \"1812\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+24</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/Ripatti\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/Ripatti\">\n Ripatti\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1812#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1812#comments\">\n 16\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1822\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (15)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34769\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lijunle\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lijunle\" title=\"Expert lijunle\" class=\"rated-user user-blue\">lijunle</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 22:19\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34769\" href=\"?#comment-34769\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34769\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"3498\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34769\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">where is the english version?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34769 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34769 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34769\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34798\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 23:50\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34798\" href=\"?#comment-34798\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34798\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34798\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"14\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+14</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34798\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">For problem B it is also possible to use a randomiszed algorithm<br /><br />do<br />{<br /> randomsolution=randomCalc();<br /><br />}while(!isValid(randomsolution));</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34798 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34798 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34798\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34824\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/khanhptnk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/825/avatar/782b10196222b19a.jpg'/> </a>\n <div><a href=\"/profile/khanhptnk\" title=\"Pupil khanhptnk\" class=\"rated-user user-green\">khanhptnk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34824\" href=\"?#comment-34824\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34824\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"825\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34824\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Please fix typing e</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34824 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34824 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34824\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34825\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34825\" href=\"?#comment-34825\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34825\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34825\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div>Please elaborate on problem D, i found that counting hexagons easy initially, but as N gets bigger, my answer fails. I think I misunderstood the question even after reading it several times... For example, I don't completely understand this clarification: <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.</span><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34825 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34825 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34825\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34842\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 14:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34842\" href=\"?#comment-34842\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34842\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34842\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34842\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><img src=\"/predownloaded/8d/73/8d735c490afae2da710bde22bc2230729f8c22ee.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34842 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34842 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34842\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34846\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34846\" href=\"?#comment-34846\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34846\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34846\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34846\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I have TLE on Java with this solution. Does it actually fits to time?</div><div class=\"from-renderer\"><img src=\"/predownloaded/0c/3d/0c3d1187036bc67e800887cf7eea5c3275f9f91e.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34846 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34846 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34846\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34848\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:15\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34848\" href=\"?#comment-34848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34848\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34848\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34849\" commentParentId=\"34848\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:24\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34849\" href=\"?#comment-34849\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34848\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34849\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34849\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">? Why didn't it post? Can you tell me how to get (x, y) co-ordinate as the board is hexagonal? </div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34849 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34849 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34849\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34853\" commentParentId=\"34849\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:13\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34853\" href=\"?#comment-34853\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34849\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34853\" revisionCount=\"3\" revision=\"3\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">3</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34853\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34853\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div><br /></div></div> </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34853 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34853 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34853\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34854\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34854\" href=\"?#comment-34854\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34854\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34854\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34854\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I think you didn't get the main idea. I've updated my picture, hope it's more clear now. We do not need to check white hexagons, only red and green ones. So, total number of hexagons we need to check is O(R). This solution easily fits to time even on Python, and on C++ it works 60ms.</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34854 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34854 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34854\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34855\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34855\" href=\"?#comment-34855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks for editing. But what next? We got some hexagons, but still can not say how many hexagons <b>inside</b> this quarter of circle. Just border hexagons. What I missunderstood?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34855\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34856\" commentParentId=\"34855\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/riadwaw\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/8452/avatar/7b374574b05a50df.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/riadwaw\" title=\"International Master riadwaw\" class=\"rated-user user-orange\">riadwaw</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:32\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34856\" href=\"?#comment-34856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34855\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"8452\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">We choose highest hexagon in every column.<div>So, we can calculate it's count</div><div>(all from highest downto - highest)in every column<br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34857\" commentParentId=\"34856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:33\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34857\" href=\"?#comment-34857\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34857\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34857\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">oh. so easy. Thanks! :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34857 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34857 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34857\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34847\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:39\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34847\" href=\"?#comment-34847\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34847\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34847\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">try to check precision.<div>You can write smthng like </div><div><div>double d1 = Math.sqrt(x1 * x1 + y1 * y1);</div><div>if (d1 > R && d1 - R > 1e-6) return false;</div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34847 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34847 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34847\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"133979\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/fastholf\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/15935/avatar/c2afbb3d3535dfac.jpg'/> </a>\n <div><a href=\"/profile/fastholf\" title=\"Expert fastholf\" class=\"rated-user user-blue\">fastholf</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/19/2013 13:22\">10 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-133979\" href=\"?#comment-133979\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"133979\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15935\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-133979\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>For task B</p> <pre><code>res[0] = 'R';\nres[1] = 'O';\nres[2] = 'Y';\nres[3] = 'G';\nres[4] = 'B';\nres[5] = 'I';\nres[6] = 'V';\nint n;\ncin >> n;\nfor (int i = 7; i < n; ++i) {\n res[i] = res[i - 4];\n}\n</code></pre><p>works as well.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-133979 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-133979 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-133979\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1822\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 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Evacuation"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Evacuation</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>They've screwed something up yet again... In one nuclear reactor of a research station an uncontrolled reaction is in progress and explosion which will destroy the whole station will happen soon.</p><p>The station is represented by a square <span class=\"tex-span\"><i>n</i> × <i>n</i></span> divided into <span class=\"tex-span\">1 × 1</span> blocks. Each block is either a reactor or a laboratory. There can be several reactors and exactly one of them will explode soon. The reactors can be considered impassable blocks, but one can move through laboratories. Between any two laboratories, which are in adjacent blocks, there is a corridor. Blocks are considered adjacent if they have a common edge.</p><p>In each laboratory there is some number of scientists and some number of rescue capsules. Once the scientist climbs into a capsule, he is considered to be saved. Each capsule has room for not more than one scientist.</p><p>The reactor, which is about to explode, is damaged and a toxic coolant trickles from it into the neighboring blocks. The block, which contains the reactor, is considered infected. Every minute the coolant spreads over the laboratories through corridors. If at some moment one of the blocks is infected, then the next minute all the neighboring laboratories also become infected. Once a lab is infected, all the scientists there that are not in rescue capsules die. The coolant does not spread through reactor blocks.</p><p>There are exactly <span class=\"tex-span\"><i>t</i></span> minutes to the explosion. Any scientist in a minute can move down the corridor to the next lab, if it is not infected. On any corridor an unlimited number of scientists can simultaneously move in both directions. It is believed that the scientists inside a lab moves without consuming time. Moreover, any scientist could get into the rescue capsule instantly. It is also believed that any scientist at any given moment always has the time to perform their actions (move from the given laboratory into the next one, or climb into the rescue capsule) before the laboratory will be infected.</p><p>Find the maximum number of scientists who will be able to escape.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>t</i></span> (<span class=\"tex-span\">2 ≤ <i>n</i> ≤ 10</span>, <span class=\"tex-span\">1 ≤ <i>t</i> ≤ 60</span>). Each of the next <span class=\"tex-span\"><i>n</i></span> lines contains <span class=\"tex-span\"><i>n</i></span> characters. These lines describe the scientists' locations. Then exactly one empty line follows. Each of the next <span class=\"tex-span\"><i>n</i></span> more lines contains <span class=\"tex-span\"><i>n</i></span> characters. These lines describe the rescue capsules' locations.</p><p>In the description of the scientists' and the rescue capsules' locations the character \"<span class=\"tex-font-style-tt\">Y</span>\" stands for a properly functioning reactor, \"<span class=\"tex-font-style-tt\">Z</span>\" stands for the malfunctioning reactor. The reactors' positions in both descriptions coincide. There is exactly one malfunctioning reactor on the station. The digits \"<span class=\"tex-font-style-tt\">0</span>\" - \"<span class=\"tex-font-style-tt\">9</span>\" stand for the laboratories. In the description of the scientists' locations those numbers stand for the number of scientists in the corresponding laboratories. In the rescue capsules' descriptions they stand for the number of such capsules in each laboratory.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number — the maximum number of scientists who will manage to save themselves.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 3<br/>1YZ<br/>1YY<br/>100<br/><br/>0YZ<br/>0YY<br/>003<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 4<br/>Y110<br/>1Y1Z<br/>1Y0Y<br/>0100<br/><br/>Y001<br/>0Y0Z<br/>0Y0Y<br/>0005<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the second sample the events could take place as follows: </p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/c29057a40dc0748af4c671a35415c2ff5fde2be5.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"8242a74c49a24994380cbc6b8dc4e87c\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - E - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"5829acbfb7eac34feddfa80f3f915a41207cea56\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - E - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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Just register for practice and you will be able to submit solutions.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"\" method=\"post\"><input type='hidden' name='csrf_token' value='8242a74c49a24994380cbc6b8dc4e87c'/>\r\n <input type=\"hidden\" name=\"action\" value=\"registerForPractice\"/>\r\n <input type=\"submit\" name=\"submit\" value=\"Register for practice\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div> \r\n</div>\r\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox ContestVirtualFrame borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Virtual participation <i class=\"sidebar-caption-icon las la-angle-down\"></i>\r\n\n <div class=\"top-links\">\n </div>\n </div>\n<div style=\" \"\r\n\r\n data-page-url=\"/data/sidebarFrames\"\r\n\r\n>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/78/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Graph network flows\">\r\n flows\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Graphs\">\r\n graphs\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Shortest paths on weighted and unweighted graphs\">\r\n shortest paths\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *2300\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='8242a74c49a24994380cbc6b8dc4e87c'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"421\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<form id=\"removeTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='8242a74c49a24994380cbc6b8dc4e87c'/>\r\n <input name=\"action\" type=\"hidden\" value=\"removeTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"421\"/>\r\n <input name=\"tagName\" type=\"hidden\" value=\"\"/>\r\n</form>\r\n\r\n<script type=\"text/javascript\">\r\n $(\".tag-box 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both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1812\" title=\"Solutions for Codeforces Beta Round #70 (Div. 2)\" target=\"_blank\">Tutorial</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"264:852\" resourceName=\"Tutorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/78\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/78/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/78/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/78/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/78/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/78/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/78/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/78/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 185, 185);\r\n padding: 3px;\r\n margin: 1px;\r\n line-height: 1.1rem;\r\n text-transform: none;\r\n }\r\n\r\n .input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation textarea {\r\n width: 100%;\r\n height: 1.5em;\r\n }\r\n\r\n .pending-submission-message {\r\n color: darkorange !important;\r\n }\r\n </style>\r\n <script>\r\n const OPENING_SPACE = String.fromCharCode(1001);\r\n const CLOSING_SPACE = String.fromCharCode(1002);\r\n\r\n const nodeToText = function (node, pre) {\r\n let result = [];\r\n\r\n if (node.tagName === \"SCRIPT\" || node.tagName === \"math\"\r\n || (node.classList && node.classList.contains(\"input-output-copier\")))\r\n return [];\r\n\r\n if (node.tagName === \"NOBR\") {\r\n result.push(OPENING_SPACE);\r\n }\r\n\r\n if (node.nodeType === Node.TEXT_NODE) {\r\n let s = node.textContent;\r\n if (!pre) {\r\n s = s.replace(/\\s+/g, \" \");\r\n }\r\n if (s.length > 0) {\r\n result.push(s);\r\n }\r\n }\r\n\r\n if (pre && node.tagName === \"BR\") {\r\n result.push(\"\\n\");\r\n }\r\n\r\n node.childNodes.forEach(function (child) {\r\n result.push(nodeToText(child, node.tagName === \"PRE\").join(\"\"));\r\n });\r\n\r\n if (node.tagName === \"DIV\"\r\n || node.tagName === \"P\"\r\n || node.tagName 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result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"E\" data-uuid=\"ps_eada482429bd4436ef9d6682dce3ad33f2961d47\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">E. Evacuation</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>They've screwed something up yet again... In one nuclear reactor of a research station an uncontrolled reaction is in progress and explosion which will destroy the whole station will happen soon.</p><p>The station is represented by a square <span class=\"tex-span\"><i>n</i> × <i>n</i></span> divided into <span class=\"tex-span\">1 × 1</span> blocks. Each block is either a reactor or a laboratory. There can be several reactors and exactly one of them will explode soon. The reactors can be considered impassable blocks, but one can move through laboratories. Between any two laboratories, which are in adjacent blocks, there is a corridor. Blocks are considered adjacent if they have a common edge.</p><p>In each laboratory there is some number of scientists and some number of rescue capsules. Once the scientist climbs into a capsule, he is considered to be saved. Each capsule has room for not more than one scientist.</p><p>The reactor, which is about to explode, is damaged and a toxic coolant trickles from it into the neighboring blocks. The block, which contains the reactor, is considered infected. Every minute the coolant spreads over the laboratories through corridors. If at some moment one of the blocks is infected, then the next minute all the neighboring laboratories also become infected. Once a lab is infected, all the scientists there that are not in rescue capsules die. The coolant does not spread through reactor blocks.</p><p>There are exactly <span class=\"tex-span\"><i>t</i></span> minutes to the explosion. Any scientist in a minute can move down the corridor to the next lab, if it is not infected. On any corridor an unlimited number of scientists can simultaneously move in both directions. It is believed that the scientists inside a lab moves without consuming time. Moreover, any scientist could get into the rescue capsule instantly. It is also believed that any scientist at any given moment always has the time to perform their actions (move from the given laboratory into the next one, or climb into the rescue capsule) before the laboratory will be infected.</p><p>Find the maximum number of scientists who will be able to escape.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>n</i></span> and <span class=\"tex-span\"><i>t</i></span> (<span class=\"tex-span\">2 ≤ <i>n</i> ≤ 10</span>, <span class=\"tex-span\">1 ≤ <i>t</i> ≤ 60</span>). Each of the next <span class=\"tex-span\"><i>n</i></span> lines contains <span class=\"tex-span\"><i>n</i></span> characters. These lines describe the scientists' locations. Then exactly one empty line follows. Each of the next <span class=\"tex-span\"><i>n</i></span> more lines contains <span class=\"tex-span\"><i>n</i></span> characters. These lines describe the rescue capsules' locations.</p><p>In the description of the scientists' and the rescue capsules' locations the character "<span class=\"tex-font-style-tt\">Y</span>" stands for a properly functioning reactor, "<span class=\"tex-font-style-tt\">Z</span>" stands for the malfunctioning reactor. The reactors' positions in both descriptions coincide. There is exactly one malfunctioning reactor on the station. The digits "<span class=\"tex-font-style-tt\">0</span>" - "<span class=\"tex-font-style-tt\">9</span>" stand for the laboratories. In the description of the scientists' locations those numbers stand for the number of scientists in the corresponding laboratories. In the rescue capsules' descriptions they stand for the number of such capsules in each laboratory.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print a single number — the maximum number of scientists who will manage to save themselves.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>3 3<br />1YZ<br />1YY<br />100<br /><br />0YZ<br />0YY<br />003<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2</pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>4 4<br />Y110<br />1Y1Z<br />1Y0Y<br />0100<br /><br />Y001<br />0Y0Z<br />0Y0Y<br />0005<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>3</pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the second sample the events could take place as follows: </p><center> <img 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class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div>\r\n\r\n\n <div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='14353d250fe67a6eef665b9b42ca246c'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" 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href=\"/profile/Ripatti\">Ripatti</a></li>\r\n <li class=\"current selectedLava\"><a\r\n href=\"/blog/Ripatti\">Blog</a></li>\r\n <li><a\r\n href=\"/teams/with/Ripatti\">Teams</a></li>\r\n <li><a\r\n href=\"/submissions/Ripatti\">Submissions</a></li>\r\n <li><a\r\n href=\"/groups/with/Ripatti\">Groups</a></li>\r\n <li><a\r\n href=\"/contests/with/Ripatti\">Contests</a></li>\r\n <li><a\r\n href=\"/contests/writer/Ripatti\">Problemsetting</a></li>\r\n</ul>\r\n</div>\n <div style=\"margin-top:0;\">\r\n <div>\r\n <h3><a href=\"/blog/Ripatti\" style=\"text-decoration:none;color:black !important;\">Ripatti's blog</a></h3>\r\n </div>\r\n <div style=\"margin-top:2em;\">\r\n\r\n\r\n<div class=\"has-topic-id topic\" topicId=\"1812\">\r\n <div class=\"title\">\r\n <a href=\"/blog/entry/1812\"> Solutions for Codeforces Beta Round #70 (Div. 2)\r\n</a>\r\n </div>\r\n\r\n <div class=\"info\" style=\"position:relative;\">\r\n By <a href=\"/profile/Ripatti\" title=\"Master Ripatti\" class=\"rated-user user-orange\">Ripatti</a>,\r\n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>,\r\n translation,\r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/gb.png\" alt=\"In English\" title=\"In English\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><p><b>A.</b> You should count a number of vowels for every of three phrases. Next, you should compare this numbers with numbers 5, 7 and 5. If all is <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">matched, answer is YES, otherwise answer is NO.</span></span><br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /> <br /><br /><b>B.</b> At first, you can <span class=\"tex-span\">[<i>n</i> / 7]</span> times output string "ROYGBIV" (<span class=\"tex-span\">[]</span> is a rounding down). After than you can output "", "G", "GB", "YGB", "YGBI", "OYGBI" or "OYGBIV" according to remainder of division <span class=\"tex-span\"><i>n</i></span> by 7. A resulting string will satisfy problem's <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">requirement</span></span>s.<br /><br />You can also build answer in other way.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>C.</b> If <span class=\"tex-span\"><i>n</i></span> is even, Marsel wins - he just <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Timur.<br /><br />Now <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">consider</span></span> a case of odd <span class=\"tex-span\"><i>n</i></span>. If Timur cannot move - he is losing automatically. If he can do a move, he always can split one log into few parts that this parts cannot be splitted again. It can be done if we have find minimal <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span> and <span class=\"tex-span\"><i>t</i>|<i>m</i></span>. Next we split log into parts with length <span class=\"tex-span\"><i>t</i></span>. Thereafter Timur <span lang=\"en\"><span title=\"Нажмите, чтобы увидеть альтернативный перевод\">symmetrically</span></span> repeats moves of Marsel and wins.<br /><br />For checking that Timur could move or not, you can iterate over all divisors of <span class=\"tex-span\"><i>m</i></span>. If there is exists some divisor <span class=\"tex-span\"><i>t</i></span> that <span class=\"tex-span\"><i>k</i> ≤ <i>t</i> < <i>m</i></span>, Timar can do a move. Chech of all divisors can be done in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/57a7a3f5b8d1b2dbfe8e5c99d75603ca680ed752.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> time.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Lepetrandr\" title=\"Майор Lepetrandr\">Lepetrandr</a>.<br /><br /><br /><b>D.</b> It should be solved like a classical problem "count the number of square cells 1x1 lying inside the circle". Firstly, lets find the highest hexagon that lies inside the circle. Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.<br /><br />Thus we can count number of hexagons in each column, answer is sum of this numbers. Total number of operations is <span class=\"tex-span\"><i>O</i>(<i>n</i>)</span>.<br /><br />Few words about implementation. Coordinates of every considered point looks like <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. That's why distance between this points and (0,0) should be calculated using integers only. For example, criteria "point <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/5f82590fa40eaa083356a550a808418b9148fa88.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> lies inside circle of radius <span class=\"tex-span\"><i>R</i></span>" looks like <span class=\"tex-span\"><i>x</i><sup class=\"upper-index\">2</sup> + 3<i>y</i><sup class=\"upper-index\">2</sup> ≤ 4<i>R</i><sup class=\"upper-index\">2</sup></span>.<br /><br />Also you can solve this problem in <img align=\"middle\" class=\"tex-formula\" src=\"https://espresso.codeforces.com/4b2fa1e3d3d43bd9f28ff6c3140f816dc0e0621a.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" />. For every column of hexagons you can find number of hexagons inside circle by using binary search.<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.<br /><br /><br /><b>E.</b> Firstly, let's calculate the following value:<br />dp[t][x0][y0][x][y] == true iff scientist from block (x0,y0) can reach block (x,y) in time t, considering toxic coolant.<br /><br />Secondly, let's consider a graph consisting of 4 parts:<br />1 - source (one vertex)<br />2 - first fraction (nxn vertices)<br />3 - second fraction (nxn vertices)<br />4 - sink (one vertex)<br />Each vertex of each fraction is for one block. Build edge from source to each vertex of the first fraction with capability as number of scientists in corresponding block. Build edge from each vertex of the second fraction to sink with capability as number of rescue capsules in corresponding block. Build edge from vertex (x0,y0) of the first fraction to vertex (x,y) of the second fraction iff dp[T][x0][y0][x][y]==true for at least one T. Capability of this edges is infinity.<br /><br />As one can see, value of maxflow in this graph is answer for the problem.<br /><br />Complexity of this solution is <span class=\"tex-span\"><i>O</i>(<i>tn</i><sup class=\"upper-index\">4</sup> + <i>kn</i><sup class=\"upper-index\">6</sup>)</span>, where <span class=\"tex-span\"><i>k</i></span> is maximum possible number of scientists in each block(in this problem <span class=\"tex-span\"><i>k</i> = 9</span>).<br /><br />Author of problem is <a class=\"rated-user user-orange\" href=\"../../../profile/Ripatti\" title=\"Майор Ripatti\">Ripatti</a>.</p></div>\r\n\r\n </div>\r\n\r\n\r\n <div style=\"font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/paperclip-16x16.png\" style=\"vertical-align: middle;\"/> <span style=\"padding: 0 0.35em;\">Tutorial of <a href=\"/contest/78\" class=\"notice\" style=\"text-decoration: none;\">Codeforces Beta Round 70 (Div. 2)</a> </span>\r\n </div>\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-440-1812\").click(function() {\n var that = this;\n Codeforces.confirm(\"Are you sure you want to detach a contest?\", function () {\n $.post(\"/data/blogAndContest\", {\n action: \"detachBlogFromContest\",\n blogId: \"440\",\n blogEntryId: \"1812\",\n contestId: $(that).attr(\"data-contestId\"),\n resourceIds: $(that).attr(\"data-resourceIds\")\n }, function(json) { \n Codeforces.reloadAndShowMessageOrShowError(json, \"Contest detached\");\n });\n }, function () {}, \"Yes\", \"No\");\n });\n });\n</script>\r\n \r\n\r\n <div style=\"font-size: 1.1rem;line-height: 11px;\">\r\n <img style=\"vertical-align: middle;\" src=\"//codeforces.org/s/81027/images/blog/tags.png\" title=\"Tags\" alt=\"Tags\"/>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=codeforces\" class=\"tag notice\" style=\"text-decoration: none;\">codeforces</a>,\r\n </span>\r\n <span style=\"padding: 0 0.35em;\">\r\n <a href=\"/search?query=editorial\" class=\"tag notice\" style=\"text-decoration: none;\">editorial</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+24</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1812\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/Ripatti\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/Ripatti\">\n Ripatti\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"Apr/27/2011 21:34\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1812#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1812#comments\">\n 16\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n </div>\n\r\n\r\n<style type=\"text/css\">\r\n .comments .title {\r\n float: left;\r\n }\r\n\r\n .comments .comments-actions-div {\r\n float: right;\r\n margin-top: 3rem;\r\n margin-right: 0.5em;\r\n }\r\n\r\n .comments .comments-actions-div .separator {\r\n margin: 0 1rem;\r\n }\r\n\r\n .comments label.show-archived {\r\n }\r\n\r\n .comments label.show-archived, .comments label.show-archived * {\r\n font-size: 1.4rem !important;\r\n color: black !important;\r\n /*position: relative !important;*/\r\n /*bottom: 0.4rem !important;*/\r\n }\r\n\r\n .comments label.show-archived input {\r\n height: 1.4rem !important;\r\n width: 1.4rem !important;\r\n position: relative;\r\n top: 0.25rem;\r\n }\r\n\r\n .new-root-comment {\r\n font-size: 1.4rem !important;\r\n }\r\n</style>\r\n\r\n <div class=\"comments\" commentableId=\"1822\">\r\n <div style=\"display: flow-root\">\r\n <div class=\"title\">\r\n <img src=\"//codeforces.org/s/81027/images/icons/comments-48x48.png\" alt=\"Comments\" title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (15)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <label class=\"show-archived\">\r\n <input type=\"checkbox\"\r\n class=\"show-archived-checkbox\" \n/>\r\n Show archived\r\n </label>\r\n <span class=\"separator\">|</span>\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34769\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/lijunle\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/lijunle\" title=\"Expert lijunle\" class=\"rated-user user-blue\">lijunle</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 22:19\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34769\" href=\"?#comment-34769\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34769\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"3498\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34769\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">where is the english version?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34769 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34769 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34769\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34798\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/philolo1\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/philolo1\" title=\"Expert philolo1\" class=\"rated-user user-blue\">philolo1</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/27/2011 23:50\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34798\" href=\"?#comment-34798\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34798\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34798\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"14\"\r\n data-commentUserId=\"5296\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+14</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34798\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">For problem B it is also possible to use a randomiszed algorithm<br /><br />do<br />{<br /> randomsolution=randomCalc();<br /><br />}while(!isValid(randomsolution));</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34798 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34798 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34798\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34824\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/khanhptnk\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/825/avatar/782b10196222b19a.jpg'/> </a>\n <div><a href=\"/profile/khanhptnk\" title=\"Pupil khanhptnk\" class=\"rated-user user-green\">khanhptnk</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34824\" href=\"?#comment-34824\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34824\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"825\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34824\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Please fix typing e</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34824 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34824 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34824\">\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34825\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 06:25\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34825\" href=\"?#comment-34825\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34825\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34825\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div>Please elaborate on problem D, i found that counting hexagons easy initially, but as N gets bigger, my answer fails. I think I misunderstood the question even after reading it several times... For example, I don't completely understand this clarification: <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> Then we move to the right and up from this hexagon, and then go down until we find hexagon lying inside the circle. Repeat this process until you reach the rightmost part of the circle.</span><br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34825 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34825 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34825\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34842\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 14:12\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34842\" href=\"?#comment-34842\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34842\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34842\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34842\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><img src=\"/predownloaded/8d/73/8d735c490afae2da710bde22bc2230729f8c22ee.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34842 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34842 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34842\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34846\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:26\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34846\" href=\"?#comment-34846\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34846\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34846\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34846\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I have TLE on Java with this solution. Does it actually fits to time?</div><div class=\"from-renderer\"><img src=\"/predownloaded/0c/3d/0c3d1187036bc67e800887cf7eea5c3275f9f91e.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34846 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34846 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34846\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34848\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:15\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34848\" href=\"?#comment-34848\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34848\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34848\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34848\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34848 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34848 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34848\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34849\" commentParentId=\"34848\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/CosmoRied\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/1587/avatar/81ab1025994d02ad.jpg'/> </a>\n <div><a href=\"/profile/CosmoRied\" title=\"Newbie CosmoRied\" class=\"rated-user user-gray\">CosmoRied</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 16:24\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34849\" href=\"?#comment-34849\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34848\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34849\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"1587\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34849\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">? Why didn't it post? Can you tell me how to get (x, y) co-ordinate as the board is hexagonal? </div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34849 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34849 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34849\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34853\" commentParentId=\"34849\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:13\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34853\" href=\"?#comment-34853\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34849\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34853\" revisionCount=\"3\" revision=\"3\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">3</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34853\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34853\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div class=\"from-renderer\"><div><br /></div></div> </div></div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34853 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34853 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34853\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34854\" commentParentId=\"34846\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/-dp-\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/11821/avatar/a4cdea736f51eae5.jpg'/> </a>\n <div><a href=\"/profile/-dp-\" title=\"Expert -dp-\" class=\"rated-user user-blue\">-dp-</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:16\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34854\" href=\"?#comment-34854\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34846\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n <span style=\"\" commentId=\"34854\" revisionCount=\"2\" revision=\"2\">\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;color:#bebebe;\" class=\"leftRevision\">←</a>\r\n Rev. <span class=\"revision\">2</span>\r\n <a href=\"#\" style=\"text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;\" class=\"rightRevision\">→</a>\r\n </span>\r\n \r\n\r\n<span commentid=\"34854\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"3\"\r\n data-commentUserId=\"11821\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:green;font-weight:bold;\">+3</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34854\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><div class=\"from-renderer\"><div class=\"from-renderer\">I think you didn't get the main idea. I've updated my picture, hope it's more clear now. We do not need to check white hexagons, only red and green ones. So, total number of hexagons we need to check is O(R). This solution easily fits to time even on Python, and on C++ it works 60ms.</div> </div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34854 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34854 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34854\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34855\" commentParentId=\"34842\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:22\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34855\" href=\"?#comment-34855\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34842\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34855\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34855\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">Thanks for editing. But what next? We got some hexagons, but still can not say how many hexagons <b>inside</b> this quarter of circle. Just border hexagons. What I missunderstood?</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34855 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34855 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34855\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34856\" commentParentId=\"34855\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/riadwaw\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/8452/avatar/7b374574b05a50df.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a>\n <div><a href=\"/profile/riadwaw\" title=\"International Master riadwaw\" class=\"rated-user user-orange\">riadwaw</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:32\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34856\" href=\"?#comment-34856\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34855\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34856\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"8452\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34856\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">We choose highest hexagon in every column.<div>So, we can calculate it's count</div><div>(all from highest downto - highest)in every column<br /></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34856 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34856 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34856\">\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34857\" commentParentId=\"34856\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 17:33\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34857\" href=\"?#comment-34857\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34856\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34857\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34857\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">oh. so easy. Thanks! :)</div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34857 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34857 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34857\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n</li>\r\n <li>\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"34847\" commentParentId=\"34825\">\r\n <tr>\r\n <td class=\"left\">\r\n <div class=\"avatar\">\n <a href=\"/profile/denys.astanin\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a>\n <div><a href=\"/profile/denys.astanin\" title=\"Specialist denys.astanin\" class=\"rated-user user-cyan\">denys.astanin</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"Apr/28/2011 15:39\">12 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-34847\" href=\"?#comment-34847\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\"><a title=\"Parent comment\" href=\"#comment-34825\" style=\"font-size:1.2em;\">^</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"34847\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"12829\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-34847\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\">try to check precision.<div>You can write smthng like </div><div><div>double d1 = Math.sqrt(x1 * x1 + y1 * y1);</div><div>if (d1 > R && d1 - R > 1e-6) return false;</div></div></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-34847 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-34847 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-34847\">\r\n </ul>\r\n</div>\r\n</li>\r\n </ul>\r\n</div>\r\n\r\n<div class=\"comment\">\r\n <table class=\"comment-table\"\r\n commentId=\"133979\" commentParentId=\"-1\">\r\n <tr>\r\n <td class=\"left\">\r\n <div style=\"position: absolute; left: 0;\" class=\"comment-indent-holder\">\r\n <div class=\"comment-no-indent\">\r\n <span>»</span>\r\n </div>\r\n </div>\r\n <div class=\"avatar\">\n <a href=\"/profile/fastholf\" style=\"position: relative;\">\n<img src='https://userpic.codeforces.org/15935/avatar/c2afbb3d3535dfac.jpg'/> </a>\n <div><a href=\"/profile/fastholf\" title=\"Expert fastholf\" class=\"rated-user user-blue\">fastholf</a></div>\n </div>\n </td>\r\n <td class=\"right\">\r\n <div class=\"info\">\r\n \r\n <span class=\"item\"><span class=\"format-humantime\" title=\"May/19/2013 13:22\">10 years ago</span>,</span>\r\n <span class=\"item\"><a title=\"Link to comment\" name=\"comment-133979\" href=\"?#comment-133979\" style=\"font-size:1.2em;\">#</a></span>\r\n <span class=\"item\">|</span>\r\n <span style=\"position: relative; top: 2px;\">\r\n</span>\r\n <div style=\"position:absolute;right:0;top:0;\">\r\n \r\n\r\n<span commentid=\"133979\" class=\"CommentVoteFrame\"\r\n data-commentRating=\"0\"\r\n data-commentUserId=\"15935\"\r\n style=\"position:relative;\"\r\n>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"1\" dd=\"x\"><img style=\"position:relative;top:3px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-voteup-blue.png\" alt=\"Vote: I like it\" title=\"Vote: I like it\"/></a>\r\n<span class=\"commentRating\"><span style=\"color:gray;font-weight:bold;\">0</span></span>\r\n<a href=\"#\" class=\"vote-for-comment\" voteDirection=\"-1\" dd=\"y\"><img style=\"position:relative;top:2px;opacity:0.35;\" src=\"//codeforces.org/s/81027/images/actions/comment-votedown-blue.png\" alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"/></a>\r\n</span>\r\n </div>\r\n </div>\r\n <div class=\"comment-content comment-content-133979\">\r\n <div class=\"moveup\">\r\n <div class=\"ttypography\"><p>For task B</p> <pre><code>res[0] = 'R';\nres[1] = 'O';\nres[2] = 'Y';\nres[3] = 'G';\nres[4] = 'B';\nres[5] = 'I';\nres[6] = 'V';\nint n;\ncin >> n;\nfor (int i = 7; i < n; ++i) {\n res[i] = res[i - 4];\n}\n</code></pre><p>works as well.</p></div>\r\n </div>\r\n </div>\r\n <div class=\"reply info\">\r\n <a class=\"comment-133979 en false\" href=\"#\" style=\"text-decoration: none;\"><span class=\"arrow\">→</span></a>\r\n <a class=\"comment-133979 en false\" href=\"#\">Reply</a>\r\n </div>\r\n </td>\r\n </tr>\r\n </table>\r\n <ul class=\"comment-children comment-133979\">\r\n </ul>\r\n</div>\r\n <br/>\r\n\r\n<div id=\"editBox-1822\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 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{document.onreadystatechange = prev;handler();}};}})();</script></body>\n</html>\n"}}},{"rowIdx":396,"cells":{"problem_id":{"kind":"string","value":"79A"},"contest":{"kind":"string","value":"79"},"problem":{"kind":"string","value":"A"},"lang":{"kind":"string","value":"en"},"problem_title":{"kind":"string","value":"A. Bus Game"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Bus Game</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>After Fox Ciel won an onsite round of a programming contest, she took a bus to return to her castle. The fee of the bus was 220 yen. She met Rabbit Hanako in the bus. They decided to play the following game because they got bored in the bus.</p><ul> <li> Initially, there is a pile that contains <span class=\"tex-span\"><i>x</i></span> 100-yen coins and <span class=\"tex-span\"><i>y</i></span> 10-yen coins. </li><li> They take turns alternatively. Ciel takes the first turn. </li><li> In each turn, they must take exactly 220 yen from the pile. In Ciel's turn, if there are multiple ways to take 220 yen, she will choose the way that contains the maximal number of 100-yen coins. In Hanako's turn, if there are multiple ways to take 220 yen, she will choose the way that contains the maximal number of 10-yen coins. </li><li> If Ciel or Hanako can't take exactly 220 yen from the pile, she loses. </li></ul><p> </p><p>Determine the winner of the game.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>x</i></span> (<span class=\"tex-span\">0 ≤ <i>x</i> ≤ 10<sup class=\"upper-index\">6</sup></span>) and <span class=\"tex-span\"><i>y</i></span> (<span class=\"tex-span\">0 ≤ <i>y</i> ≤ 10<sup class=\"upper-index\">6</sup></span>), separated by a single space.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>If Ciel wins, print \"<span class=\"tex-font-style-tt\">Ciel</span>\". Otherwise, print \"<span class=\"tex-font-style-tt\">Hanako</span>\".</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2 2<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Ciel<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 22<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Hanako<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first turn (Ciel's turn), she will choose 2 100-yen coins and 2 10-yen coins. In the second turn (Hanako's turn), she will choose 1 100-yen coin and 12 10-yen coins. In the third turn (Ciel's turn), she can't pay exactly 220 yen, so Ciel will lose.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"d24c10e29b28e769fe569b84185855ef\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - A - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"8e6bf6d4098751659c2fe6a09a043d0292b7c34a\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - A - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/79\">Codeforces Beta Round 71</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Greedy algorithms\">\r\n greedy\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1200\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No tag edit access</span>\r\n </div>\r\n</div>\r\n </div>\n\r\n<form id=\"addTagForm\" action=\"/data/problemTags\" method=\"post\" style=\"display:none;\"><input type='hidden' name='csrf_token' value='d24c10e29b28e769fe569b84185855ef'/>\r\n <input name=\"action\" type=\"hidden\" value=\"addTag\"/>\r\n <input name=\"problemId\" type=\"hidden\" value=\"422\"/>\r\n <input name=\"tagName\" type=\"hidden\" 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href=\"/blog/entry/1828\" title=\"Codeforces Beta Round #71\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"266:267\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1848\" title=\"Codeforces Beta Round #71 - разбор (перевод A-D)\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(ru)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"855\" resourceName=\"Codeforces Beta Round #71 - разбор (перевод A-D)\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1839\" title=\"Codeforces Beta Round #71 Editorial\" target=\"_blank\">Tutorial #2 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"854\" resourceName=\"Codeforces Beta Round #71 Editorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n</ul>\r\n</div></div>\n <div id=\"pageContent\" class=\"content-with-sidebar\">\n <div class=\"second-level-menu\">\r\n<ul class=\"second-level-menu-list\">\r\n <li class=\"current selectedLava\"><a\r\n href=\"/contest/79\">Problems</a></li>\r\n <li><a\r\n href=\"/contest/79/submit\">Submit Code</a></li>\r\n <li><a\r\n href=\"/contest/79/my\">My Submissions</a></li>\r\n <li><a\r\n href=\"/contest/79/status\">Status</a></li>\r\n <li><a\r\n href=\"/contest/79/hacks\">Hacks</a></li>\r\n <li><a\r\n href=\"/contest/79/room/1\">Room</a></li>\r\n <li><a\r\n href=\"/contest/79/standings\">Standings</a></li>\r\n <li><a\r\n href=\"/contest/79/customtest\">Custom Invocation</a></li>\r\n</ul>\r\n</div>\n\r\n <style>\r\n #facebox .content:has(.diff-popup) {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n }\r\n\r\n .testCaseMarker {\r\n position: absolute;\r\n font-weight: bold;\r\n font-size: 1rem;\r\n }\r\n\r\n .diff-popup {\r\n width: 90vw;\r\n max-width: 120rem !important;\r\n display: none;\r\n overflow: auto;\r\n }\r\n\r\n .input-output-copier {\r\n font-size: 1.2rem;\r\n float: right;\r\n color: #888 !important;\r\n cursor: pointer;\r\n border: 1px solid rgb(185, 185, 185);\r\n padding: 3px;\r\n margin: 1px;\r\n line-height: 1.1rem;\r\n text-transform: none;\r\n }\r\n\r\n .input-output-copier:hover {\r\n background-color: #def;\r\n }\r\n\r\n .test-explanation 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result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"A\" data-uuid=\"ps_b37a272e881829ff6b771dc9c0beee894974ce4f\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">A. Bus Game</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>After Fox Ciel won an onsite round of a programming contest, she took a bus to return to her castle. The fee of the bus was 220 yen. She met Rabbit Hanako in the bus. They decided to play the following game because they got bored in the bus.</p><ul> <li> Initially, there is a pile that contains <span class=\"tex-span\"><i>x</i></span> 100-yen coins and <span class=\"tex-span\"><i>y</i></span> 10-yen coins. </li><li> They take turns alternatively. Ciel takes the first turn. </li><li> In each turn, they must take exactly 220 yen from the pile. In Ciel's turn, if there are multiple ways to take 220 yen, she will choose the way that contains the maximal number of 100-yen coins. In Hanako's turn, if there are multiple ways to take 220 yen, she will choose the way that contains the maximal number of 10-yen coins. </li><li> If Ciel or Hanako can't take exactly 220 yen from the pile, she loses. </li></ul><p> </p><p>Determine the winner of the game.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains two integers <span class=\"tex-span\"><i>x</i></span> (<span class=\"tex-span\">0 ≤ <i>x</i> ≤ 10<sup class=\"upper-index\">6</sup></span>) and <span class=\"tex-span\"><i>y</i></span> (<span class=\"tex-span\">0 ≤ <i>y</i> ≤ 10<sup class=\"upper-index\">6</sup></span>), separated by a single space.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>If Ciel wins, print "<span class=\"tex-font-style-tt\">Ciel</span>". Otherwise, print "<span class=\"tex-font-style-tt\">Hanako</span>".</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>2 2<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Ciel<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 22<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Hanako<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first turn (Ciel's turn), she will choose 2 100-yen coins and 2 10-yen coins. In the second turn (Hanako's turn), she will choose 1 100-yen coin and 12 10-yen coins. In the third turn (Ciel's turn), she can't pay exactly 220 yen, so Ciel will lose.</p></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=A]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = convertStatementToText($problem.find(\".ttypography\").get(0));\r\n\r\n let previousStatementText = Codeforces.getFromStorage(uuid);\r\n if (previousStatementText) {\r\n if (previousStatementText !== statementText) {\r\n $problem.find(\".diff-notifier\").show();\r\n\r\n $problem.find(\".diff-notifier-close\").click(function() {\r\n Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60);\r\n $problem.find(\".diff-notifier\").hide();\r\n });\r\n\r\n $problem.find(\"a.view-changes\").click(function() {\r\n $.post(\"/data/diff\", {action: \"getDiff\", a: previousStatementText, b: statementText}, function (result) {\r\n if (result[\"success\"] === \"true\") {\r\n 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:25</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='a95a71adf4d2d06cd0ab65247c5886c2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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class=\"rated-user user-red\">yeputons</a>,\r\n <span class=\"format-humantime\" title=\"May/02/2011 19:09\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/ru.png\" alt=\"In Russian\" title=\"In Russian\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><h2>Задача A. Игра в автобусе (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2>В этой задаче прекрасно работает симуляция "в лоб" - нам прямым текстом сказано, как ходят игроки. Лиса Кейл играет по следующей стратегии: если есть хотя бы две монеты по 100 йен и две монеты по 10 йен, она берёт их. Иначе, если есть хотя бы одна монета по 100 йен и 12 монет по 10 - она забирает их. В противном случае она берет 22 монеты по 10 йен. Если ей это не удаётся - выигрывает Ханако. Кролик поступает точно также, но в обратном порядке. Сложность решения - <i>O(x+y)</i>.<br /><br /><h2>Задача B. Разноцветное поле (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a></span></span></span>)</h2>Решение, использующее массив <i>NxM</i> получает TL/ML, и, разумеется, мы не можем решать задачу "в лоб". Так как и запросов, и безжизненных клеток не более 1000, нам достаточно научиться отвечать на каждый запрос за время <i>O(K)</i>.<br />Пусть <i>(a, b)</i> - клетка из очередного запроса. Является ли она безжизненной, или нет - решит один цикл <i>for</i> по входным данным.<br />Итак, мы знаем, что на этой клетке что-то растёт. Пусть <i>I</i> - суммарное число клеток перед <i>(a, b)</i>, а <i>J</i> - количество безжизненных клеток перед <i>(a, b)</i>. Тогда ответ определяется значением <i>(I-J) mod 3</i> (где <i>0</i> => "<i>Carrots</i>", <i>1</i> => "<i>Kiwis</i>", <i>2</i> => "<i>Grapes</i>"). Путем несложной математики можно понять, что I=(a-1)M+(b-1) (первое слагаемое - это количество клеток в предыдущих строках, а второе - количество предыдущих клеток в текущей строке), а величину <i>J</i> можно опять же подсчитать циклом <i>for</i> за <i>O(K)</i>.<br />Получаем решение за <i>O(TK)</i>, где <i>T</i> - количество запросов.<br /><br /><h2>Задача C. Скучные строки (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a>)</span></span></span></h2>Мы можем представить каждую подстроку в <i>s</i>, совпадающую с какой-либо скучной строкой, как "запрещённый отрезок". Таких кандидатов в плохие отрезки для каждой из <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> порядка <i>O(n)</i>, поэтому мы можем подсчитать их все за <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span> (да, тут не требуется никаких специальных алгоритмов, например, КМП).<br />Теперь мы можем переписать задачу по-другому: дано не более <span class=\"tex-span\">10<sup class=\"upper-index\">6</sup></span> запрещенных отрезков, найти отрезок, который не содержит полностью ни один из запрещённых. <br /><br />Давайте подсчитаем величину <i>right[i]</i> - минимальная правая граница среди запрещенных интервалов с левой границей в <i>i</i>. Если таких интервалов нет, положим <i>right[i]=|s|</i>.<br /><br />Теперь давайте переберём начало ответа, начиная с <i>|s|</i> и до <i>0</i>. Вначале ответ - пустая строка. Пусть ответ для предыдщего начала - подстрока с <i>i+1</i> до <i>j</i>. Тогда, если <i>right[i]>j</i>, то мы можем спокойно приписать один символ слева и ответ увеличивается на 1 - подстрока с <i>i</i> до <i>j</i>. Если же <i>right[i]<=j,</i> то ответ не может быть дальше, чем до <i>right[i]-1</i>, в противном случае мы полностью покроем "плохой отрезок". Таким образом, мы пробежимся по всем возможным началам ответов за <i>O(|s|)</i>.<br /><br />Итого время работы - <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span>.<br /><br /><div align=\"center\"><h2>Задача D. Кодовый замок (автор - <span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"></span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2><div align=\"left\">Давайте слегка переформулируем состояние замка: определим массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> следующим образом: <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, если панели <span class=\"tex-span\"><i>i</i></span> и <span class=\"tex-span\"><i>i</i> + 1</span> находятся в одинаковом состоянии и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 1</span> в противном случае. Положим, что панели <span class=\"tex-span\">0</span> и <span class=\"tex-span\"><i>n</i> + 1</span> выключены (OFF). Если Кейл изменяет состояние панелей на отрезке с <i>x</i> до <i>x+a-1</i> (включительно), то в массиве <i>b</i> изменяются значения <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>:<br /><img src=\"https://irulop.cc/adsl/Deditorial.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /><b>Задача D'</b>.<br />У Вас есть массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>. Не более 20 (<i>=2k</i>) элементов - единички. За каждый ход Вы можете изменить значения в <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>, где <span class=\"tex-span\"><i>a</i></span> - элемент <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> и <span class=\"tex-span\">0 ≤ <i>x</i> ≤ <i>n</i> - <i>a</i></span>. Определите минимальное количество ходов, требуемое для обнуления массива (мы просто "перевернули" порядок действий).<br /><br />Понятно, что порядок ходов не важен. Также понятно, что если массив еще не обнулён, то есть такой индекс <span class=\"tex-span\"><i>x</i></span>, что <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub> = 1</span>, и нам придётся походить, задев этот индекс, хотя бы один раз. Давайте следаем этот ход первым. Далее применим аналогичное рассуждение и получим, что на каждом ходу хотя бы одно из двух чисел <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span> - единица. <br /><br /><b>Задача D''.</b><br />Теперь давайте построим граф с вершинами от <i>0</i> до<i> n+1</i>. Ребро между двумя вершинами <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">1</sub></span> и <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">2</sub></span> будет в том, и только том случае, если <span class=\"tex-span\">|<i>v</i><sub class=\"lower-index\">1</sub> - <i>v</i><sub class=\"lower-index\">2</sub>|</span> - элемент массива <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (то есть, мы можем сделать ход <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">1</sub></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">2</sub></sub></span>. Также изначально есть не более 20 фишек (стоят в позициях изначальных единиц в массиве <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>). За один ход мы можем подвинуть фишку по какому-либо ребру. Если две фишки оказываются в одной вершине, они исчезают. Определить минимальное количество ходов, необходимое для избавления от всех фишек.<br /><br />Для начала предподсчитаем попарные расстояния между всеми фишками. Это можно сделать, 20 раз запустив BFS. А далее имеем динамику по подмножествам: <i>d[S]</i> (где <i>S</i> - подмножество фишек) - минимальное количество шагов, чтобы убрать все фишки из <i>S</i>. Если <i>S</i> пусто, <i>d[S=0]</i>=0. Если <i><span class=\"tex-span\"><i>S</i> = {<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\">1</sub>, ..., <i>s</i><sub class=\"lower-index\"><i>m</i> - 1</sub>}</span></i> непусто, то мы выбирае фишки, которая исчезнет вместе с нулевой, и делаем переход: <span class=\"tex-span\"><i>d</i>[<i>S</i>] = <i>min</i>(<i>d</i>[<i>S</i>\\{<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>}] + <i>dist</i>(<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>))</span>, где <span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>m</i> - 1</span>.<br /><br />Итоговая сложность решения - <span class=\"tex-span\"><i>O</i>(<i>knl</i> + <i>k</i>· 2<sup class=\"upper-index\">2<i>k</i></sup>)</span>.<br /><br /></div></div></div>\r\n\r\n </div>\r\n\r\n\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-1484-1848\").click(function() {\n var that = 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Colorful Field"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Colorful Field</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Fox Ciel saw a large field while she was on a bus. The field was a <span class=\"tex-span\"><i>n</i> × <i>m</i></span> rectangle divided into <span class=\"tex-span\">1 × 1</span> cells. Some cells were wasteland, and other each cell contained crop plants: either carrots or kiwis or grapes. </p><p>After seeing the field carefully, Ciel found that the crop plants of each cell were planted in following procedure:</p><ul> <li> Assume that the rows are numbered <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span> from top to bottom and the columns are numbered <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>m</i></span> from left to right, and a cell in row <span class=\"tex-span\"><i>i</i></span> and column <span class=\"tex-span\"><i>j</i></span> is represented as <span class=\"tex-span\">(<i>i</i>, <i>j</i>)</span>. </li><li> First, each field is either cultivated or waste. Crop plants will be planted in the cultivated cells in the order of <span class=\"tex-span\">(1, 1) → ... → (1, <i>m</i>) → (2, 1) → ... → (2, <i>m</i>) → ... → (<i>n</i>, 1) → ... → (<i>n</i>, <i>m</i>)</span>. Waste cells will be ignored. </li><li> Crop plants (either carrots or kiwis or grapes) will be planted in each cell one after another cyclically. Carrots will be planted in the first cell, then kiwis in the second one, grapes in the third one, carrots in the forth one, kiwis in the fifth one, and so on. </li></ul><p>The following figure will show you the example of this procedure. Here, a white square represents a cultivated cell, and a black square represents a waste cell.</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/cc18980b9ec1718d966c039f7bc7ad3858b1bca3.png\" style=\"max-width: 100.0%;max-height: 100.0%;\"/> </center><p>Now she is wondering how to determine the crop plants in some certain cells. </p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>In the first line there are four positive integers <span class=\"tex-span\"><i>n</i>, <i>m</i>, <i>k</i>, <i>t</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 4·10<sup class=\"upper-index\">4</sup>, 1 ≤ <i>m</i> ≤ 4·10<sup class=\"upper-index\">4</sup>, 1 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">3</sup>, 1 ≤ <i>t</i> ≤ 10<sup class=\"upper-index\">3</sup></span>), each of which represents the height of the field, the width of the field, the number of waste cells and the number of queries that ask the kind of crop plants in a certain cell.</p><p>Following each <span class=\"tex-span\"><i>k</i></span> lines contains two integers <span class=\"tex-span\"><i>a</i>, <i>b</i></span> (<span class=\"tex-span\">1 ≤ <i>a</i> ≤ <i>n</i>, 1 ≤ <i>b</i> ≤ <i>m</i></span>), which denotes a cell <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> is waste. It is guaranteed that the same cell will not appear twice in this section.</p><p>Following each <span class=\"tex-span\"><i>t</i></span> lines contains two integers <span class=\"tex-span\"><i>i</i>, <i>j</i></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>n</i>, 1 ≤ <i>j</i> ≤ <i>m</i></span>), which is a query that asks you the kind of crop plants of a cell <span class=\"tex-span\">(<i>i</i>, <i>j</i>)</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>For each query, if the cell is waste, print <span class=\"tex-font-style-tt\">Waste</span>. Otherwise, print the name of crop plants in the cell: either <span class=\"tex-font-style-tt\">Carrots</span> or <span class=\"tex-font-style-tt\">Kiwis</span> or <span class=\"tex-font-style-tt\">Grapes</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>4 5 5 6<br/>4 3<br/>1 3<br/>3 3<br/>2 5<br/>3 2<br/>1 3<br/>1 4<br/>2 3<br/>2 4<br/>1 1<br/>1 1<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Waste<br/>Grapes<br/>Carrots<br/>Kiwis<br/>Carrots<br/>Carrots<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>The sample corresponds to the figure in the statement.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"f0088157c0c38245966c648c7bac348b\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - B - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"8e6bf6d4098751659c2fe6a09a043d0292b7c34a\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - B - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">B. Colorful Field</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Fox Ciel saw a large field while she was on a bus. The field was a <span class=\"tex-span\"><i>n</i> × <i>m</i></span> rectangle divided into <span class=\"tex-span\">1 × 1</span> cells. Some cells were wasteland, and other each cell contained crop plants: either carrots or kiwis or grapes. </p><p>After seeing the field carefully, Ciel found that the crop plants of each cell were planted in following procedure:</p><ul> <li> Assume that the rows are numbered <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span> from top to bottom and the columns are numbered <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>m</i></span> from left to right, and a cell in row <span class=\"tex-span\"><i>i</i></span> and column <span class=\"tex-span\"><i>j</i></span> is represented as <span class=\"tex-span\">(<i>i</i>, <i>j</i>)</span>. </li><li> First, each field is either cultivated or waste. Crop plants will be planted in the cultivated cells in the order of <span class=\"tex-span\">(1, 1) → ... → (1, <i>m</i>) → (2, 1) → ... → (2, <i>m</i>) → ... → (<i>n</i>, 1) → ... → (<i>n</i>, <i>m</i>)</span>. Waste cells will be ignored. </li><li> Crop plants (either carrots or kiwis or grapes) will be planted in each cell one after another cyclically. Carrots will be planted in the first cell, then kiwis in the second one, grapes in the third one, carrots in the forth one, kiwis in the fifth one, and so on. </li></ul><p>The following figure will show you the example of this procedure. Here, a white square represents a cultivated cell, and a black square represents a waste cell.</p><center> <img class=\"tex-graphics\" src=\"https://espresso.codeforces.com/cc18980b9ec1718d966c039f7bc7ad3858b1bca3.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /> </center><p>Now she is wondering how to determine the crop plants in some certain cells. </p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>In the first line there are four positive integers <span class=\"tex-span\"><i>n</i>, <i>m</i>, <i>k</i>, <i>t</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 4·10<sup class=\"upper-index\">4</sup>, 1 ≤ <i>m</i> ≤ 4·10<sup class=\"upper-index\">4</sup>, 1 ≤ <i>k</i> ≤ 10<sup class=\"upper-index\">3</sup>, 1 ≤ <i>t</i> ≤ 10<sup class=\"upper-index\">3</sup></span>), each of which represents the height of the field, the width of the field, the number of waste cells and the number of queries that ask the kind of crop plants in a certain cell.</p><p>Following each <span class=\"tex-span\"><i>k</i></span> lines contains two integers <span class=\"tex-span\"><i>a</i>, <i>b</i></span> (<span class=\"tex-span\">1 ≤ <i>a</i> ≤ <i>n</i>, 1 ≤ <i>b</i> ≤ <i>m</i></span>), which denotes a cell <span class=\"tex-span\">(<i>a</i>, <i>b</i>)</span> is waste. It is guaranteed that the same cell will not appear twice in this section.</p><p>Following each <span class=\"tex-span\"><i>t</i></span> lines contains two integers <span class=\"tex-span\"><i>i</i>, <i>j</i></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>n</i>, 1 ≤ <i>j</i> ≤ <i>m</i></span>), which is a query that asks you the kind of crop plants of a cell <span class=\"tex-span\">(<i>i</i>, <i>j</i>)</span>.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>For each query, if the cell is waste, print <span class=\"tex-font-style-tt\">Waste</span>. Otherwise, print the name of crop plants in the cell: either <span class=\"tex-font-style-tt\">Carrots</span> or <span class=\"tex-font-style-tt\">Kiwis</span> or <span class=\"tex-font-style-tt\">Grapes</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>4 5 5 6<br />4 3<br />1 3<br />3 3<br />2 5<br />3 2<br />1 3<br />1 4<br />2 3<br />2 4<br />1 1<br />1 1<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>Waste<br />Grapes<br />Carrots<br />Kiwis<br />Carrots<br />Carrots<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>The sample corresponds to the figure in the statement.</p></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=B]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='a95a71adf4d2d06cd0ab65247c5886c2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/119880\">It's Happening! Meta Hacker Cup 2023 Schedule</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/DaviddeGea1\" title=\"Expert DaviddeGea1\" class=\"rated-user user-blue\">DaviddeGea1</a> →\r\n <a href=\"/blog/entry/70917\">Number of ways of dividing an array into 2 parts such that sum of each part is > k</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bekh\" title=\"Master Bekh\" class=\"rated-user user-orange\">Bekh</a> →\r\n <a href=\"/blog/entry/74245\">Questions and doubts regarding Aliens DP trick</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/cgy4ever\" title=\"International Grandmaster cgy4ever\" class=\"rated-user user-red\">cgy4ever</a> →\r\n <a href=\"/blog/entry/8192\">Codeforces Round #190 — Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/hocky\" title=\"Candidate Master hocky\" class=\"rated-user user-violet\">hocky</a> →\r\n <a href=\"/blog/entry/95323\">FBHC wuining uw Day? Incwease uw stacc size! (ㅅ´ ˘ `)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/liouzhou_101\" title=\"International Master liouzhou_101\" class=\"rated-user user-orange\">liouzhou_101</a> →\r\n <a href=\"/blog/entry/87598\">Editorial of Codeforces Round #700</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/yeon_gist\" title=\"Newbie yeon_gist\" class=\"rated-user user-gray\">yeon_gist</a> →\r\n <a href=\"/blog/entry/121170\">plusMinusPermutation computing error</a>\r\n <img alt=\"Text created or updated\" title=\"Text created or updated\" src=\"//codeforces.org/s/81027/images/icons/x-update-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/altforminuscontribution\" title=\"Newbie altforminuscontribution\" class=\"rated-user user-gray\">altforminuscontribution</a> →\r\n <a href=\"/blog/entry/121162\">My screen get unexpectedly big, what should I do</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/atcoder_official\" title=\"Unrated, atcoder_official\" class=\"rated-user user-black\">atcoder_official</a> →\r\n <a href=\"/blog/entry/121120\">We will hold UNIQUE VISION Programming Contest 2023 Autumn(AtCoder Beginner Contest 323)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/YouStill_DontKnowMeYet\" title=\"Candidate Master YouStill_DontKnowMeYet\" class=\"rated-user user-violet\">YouStill_DontKnowMeYet</a> →\r\n <a href=\"/blog/entry/117659\">[GYM] Al-Baath Collegiate Programming Contest 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/ankancool\" title=\"Expert ankancool\" class=\"rated-user user-blue\">ankancool</a> →\r\n <a href=\"/blog/entry/121136\">Invitation to AstroByte 2023</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/GeZhiyuan\" title=\"Grandmaster GeZhiyuan\" class=\"rated-user user-red\">GeZhiyuan</a> →\r\n <a href=\"/blog/entry/120943\">Codeforces Round 901 (Div. 1, Div. 2) Editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a> →\r\n <a href=\"/blog/entry/120772\">PSA: Increase your stack size before the Meta Hacker Cup, here's how</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/dino_merlin\" title=\"Expert dino_merlin\" class=\"rated-user user-blue\">dino_merlin</a> →\r\n <a href=\"/blog/entry/121145\">Intuitive approach for CEOI Kangaroo?</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/icecuber\" title=\"Grandmaster icecuber\" class=\"rated-user user-red\">icecuber</a> →\r\n <a href=\"/blog/entry/70018\">CSES DP section editorial</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Bn00b\" title=\"Newbie Bn00b\" class=\"rated-user user-gray\">Bn00b</a> →\r\n <a href=\"/blog/entry/98820\">[FEATURE REQUEST : ATCODER] TOPICS TAGS AND SORTING BY SOLVE COUNT</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n <img alt=\"Necropost\" title=\"Necropost\" src=\"//codeforces.org/s/81027/images/icons/hourglass.png\" style=\"vertical-align:middle; position: relative; top: 1px;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a> 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class=\"rated-user user-red\">yeputons</a>,\r\n <span class=\"format-humantime\" title=\"May/02/2011 19:09\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/ru.png\" alt=\"In Russian\" title=\"In Russian\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><h2>Задача A. Игра в автобусе (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2>В этой задаче прекрасно работает симуляция "в лоб" - нам прямым текстом сказано, как ходят игроки. Лиса Кейл играет по следующей стратегии: если есть хотя бы две монеты по 100 йен и две монеты по 10 йен, она берёт их. Иначе, если есть хотя бы одна монета по 100 йен и 12 монет по 10 - она забирает их. В противном случае она берет 22 монеты по 10 йен. Если ей это не удаётся - выигрывает Ханако. Кролик поступает точно также, но в обратном порядке. Сложность решения - <i>O(x+y)</i>.<br /><br /><h2>Задача B. Разноцветное поле (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a></span></span></span>)</h2>Решение, использующее массив <i>NxM</i> получает TL/ML, и, разумеется, мы не можем решать задачу "в лоб". Так как и запросов, и безжизненных клеток не более 1000, нам достаточно научиться отвечать на каждый запрос за время <i>O(K)</i>.<br />Пусть <i>(a, b)</i> - клетка из очередного запроса. Является ли она безжизненной, или нет - решит один цикл <i>for</i> по входным данным.<br />Итак, мы знаем, что на этой клетке что-то растёт. Пусть <i>I</i> - суммарное число клеток перед <i>(a, b)</i>, а <i>J</i> - количество безжизненных клеток перед <i>(a, b)</i>. Тогда ответ определяется значением <i>(I-J) mod 3</i> (где <i>0</i> => "<i>Carrots</i>", <i>1</i> => "<i>Kiwis</i>", <i>2</i> => "<i>Grapes</i>"). Путем несложной математики можно понять, что I=(a-1)M+(b-1) (первое слагаемое - это количество клеток в предыдущих строках, а второе - количество предыдущих клеток в текущей строке), а величину <i>J</i> можно опять же подсчитать циклом <i>for</i> за <i>O(K)</i>.<br />Получаем решение за <i>O(TK)</i>, где <i>T</i> - количество запросов.<br /><br /><h2>Задача C. Скучные строки (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a>)</span></span></span></h2>Мы можем представить каждую подстроку в <i>s</i>, совпадающую с какой-либо скучной строкой, как "запрещённый отрезок". Таких кандидатов в плохие отрезки для каждой из <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> порядка <i>O(n)</i>, поэтому мы можем подсчитать их все за <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span> (да, тут не требуется никаких специальных алгоритмов, например, КМП).<br />Теперь мы можем переписать задачу по-другому: дано не более <span class=\"tex-span\">10<sup class=\"upper-index\">6</sup></span> запрещенных отрезков, найти отрезок, который не содержит полностью ни один из запрещённых. <br /><br />Давайте подсчитаем величину <i>right[i]</i> - минимальная правая граница среди запрещенных интервалов с левой границей в <i>i</i>. Если таких интервалов нет, положим <i>right[i]=|s|</i>.<br /><br />Теперь давайте переберём начало ответа, начиная с <i>|s|</i> и до <i>0</i>. Вначале ответ - пустая строка. Пусть ответ для предыдщего начала - подстрока с <i>i+1</i> до <i>j</i>. Тогда, если <i>right[i]>j</i>, то мы можем спокойно приписать один символ слева и ответ увеличивается на 1 - подстрока с <i>i</i> до <i>j</i>. Если же <i>right[i]<=j,</i> то ответ не может быть дальше, чем до <i>right[i]-1</i>, в противном случае мы полностью покроем "плохой отрезок". Таким образом, мы пробежимся по всем возможным началам ответов за <i>O(|s|)</i>.<br /><br />Итого время работы - <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span>.<br /><br /><div align=\"center\"><h2>Задача D. Кодовый замок (автор - <span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"></span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2><div align=\"left\">Давайте слегка переформулируем состояние замка: определим массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> следующим образом: <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, если панели <span class=\"tex-span\"><i>i</i></span> и <span class=\"tex-span\"><i>i</i> + 1</span> находятся в одинаковом состоянии и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 1</span> в противном случае. Положим, что панели <span class=\"tex-span\">0</span> и <span class=\"tex-span\"><i>n</i> + 1</span> выключены (OFF). Если Кейл изменяет состояние панелей на отрезке с <i>x</i> до <i>x+a-1</i> (включительно), то в массиве <i>b</i> изменяются значения <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>:<br /><img src=\"https://irulop.cc/adsl/Deditorial.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /><b>Задача D'</b>.<br />У Вас есть массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>. Не более 20 (<i>=2k</i>) элементов - единички. За каждый ход Вы можете изменить значения в <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>, где <span class=\"tex-span\"><i>a</i></span> - элемент <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> и <span class=\"tex-span\">0 ≤ <i>x</i> ≤ <i>n</i> - <i>a</i></span>. Определите минимальное количество ходов, требуемое для обнуления массива (мы просто "перевернули" порядок действий).<br /><br />Понятно, что порядок ходов не важен. Также понятно, что если массив еще не обнулён, то есть такой индекс <span class=\"tex-span\"><i>x</i></span>, что <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub> = 1</span>, и нам придётся походить, задев этот индекс, хотя бы один раз. Давайте следаем этот ход первым. Далее применим аналогичное рассуждение и получим, что на каждом ходу хотя бы одно из двух чисел <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span> - единица. <br /><br /><b>Задача D''.</b><br />Теперь давайте построим граф с вершинами от <i>0</i> до<i> n+1</i>. Ребро между двумя вершинами <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">1</sub></span> и <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">2</sub></span> будет в том, и только том случае, если <span class=\"tex-span\">|<i>v</i><sub class=\"lower-index\">1</sub> - <i>v</i><sub class=\"lower-index\">2</sub>|</span> - элемент массива <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (то есть, мы можем сделать ход <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">1</sub></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">2</sub></sub></span>. Также изначально есть не более 20 фишек (стоят в позициях изначальных единиц в массиве <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>). За один ход мы можем подвинуть фишку по какому-либо ребру. Если две фишки оказываются в одной вершине, они исчезают. Определить минимальное количество ходов, необходимое для избавления от всех фишек.<br /><br />Для начала предподсчитаем попарные расстояния между всеми фишками. Это можно сделать, 20 раз запустив BFS. А далее имеем динамику по подмножествам: <i>d[S]</i> (где <i>S</i> - подмножество фишек) - минимальное количество шагов, чтобы убрать все фишки из <i>S</i>. Если <i>S</i> пусто, <i>d[S=0]</i>=0. Если <i><span class=\"tex-span\"><i>S</i> = {<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\">1</sub>, ..., <i>s</i><sub class=\"lower-index\"><i>m</i> - 1</sub>}</span></i> непусто, то мы выбирае фишки, которая исчезнет вместе с нулевой, и делаем переход: <span class=\"tex-span\"><i>d</i>[<i>S</i>] = <i>min</i>(<i>d</i>[<i>S</i>\\{<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>}] + <i>dist</i>(<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>))</span>, где <span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>m</i> - 1</span>.<br /><br />Итоговая сложность решения - <span class=\"tex-span\"><i>O</i>(<i>knl</i> + <i>k</i>· 2<sup class=\"upper-index\">2<i>k</i></sup>)</span>.<br /><br /></div></div></div>\r\n\r\n </div>\r\n\r\n\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-1484-1848\").click(function() {\n var that = 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none;\">разбор</a>\r\n </span>\r\n </div>\r\n\r\n\n <div class=\"roundbox meta borderTopRound borderBottomRound\" style=\"\">\n <div class=\"left-meta\">\r\n <ul>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-up-1848\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/voteup.png\"\n alt=\"Vote: I like it\" title=\"Vote: I like it\"\n /></a>\n\n\n</li>\r\n <li style=\"line-height: 1.6em;\">\n\n \n <span title=\"Topic rating\" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+35</span>\n \n</li>\r\n <li style=\"line-height: 1.6em;\"> <a href=\"#\" class=\"topic-vote-down-1848\"><img style=\"vertical-align:middle;position:relative;top:-0.2em\" src=\"//codeforces.org/s/81027/images/actions/votedown.png\"\n alt=\"Vote: I do not like it\" title=\"Vote: I do not like it\"\n /></a>\n\n\n</li>\r\n </ul>\r\n </div>\r\n\r\n\r\n <span style=\"position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;\">\r\n </span>\r\n\r\n <div class=\"right-meta\">\r\n <ul>\r\n <li> <a href=\"/profile/yeputons\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/user_16x16.png\"\n alt=\"Author\" title=\"Author\"\n /></a>\n\n\n <a href=\"/profile/yeputons\">\n yeputons\n </a>\n</li>\r\n <li> <img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/date_16x16.png\"\n alt=\"Publication date\" title=\"Publication date\"\n />\n\n\n \n <span class=\"format-humantime\" title=\"May/02/2011 19:09\">12 years ago</span>\n \n</li>\r\n <li> <a href=\"/blog/entry/1848#comments\"><img style=\"vertical-align:middle;position:relative;top:-1px\" src=\"//codeforces.org/s/81027/images/blog/comments_16x16.png\"\n alt=\"Comments\" title=\"Comments\"\n /></a>\n\n\n <a href=\"/blog/entry/1848#comments\">\n 0\n </a>\n</li>\r\n </ul>\r\n </div>\r\n\r\n <br style=\"clear:both;\"/>\r\n 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title=\"Comments\"\r\n style=\"position:relative;top:0.6em;\"/>\r\n <a name=\"comments\">Comments (0)</a>\r\n\r\n </div>\r\n <div class=\"comments-actions-div\">\r\n <a href=\"#\" class=\"new-root-comment\"\r\n >Write comment?</a>\r\n </div>\r\n </div>\r\n <br/>\r\n\r\n<div id=\"editBox-1858\" style=\"width:50em;display:none;\">\r\n <div class=\"previewBody\" style=\"border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;\"> </div>\r\n <div style=\"width: 1px\"> </div>\r\n <div class=\"commentLocale\" style=\"position: relative; top: 0.5em;left:4px;display: none;\">\r\n <input type=\"radio\" name=\"locale\" value=\"en\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In English</span>\r\n <input style=\"margin-left:1em\" type=\"radio\" name=\"locale\" value=\"ru\"><span style=\"font-size: 1.2rem;position: relative; bottom: 3px;\">In Russian</span>\r\n </div>\r\n <textarea data-drafts-id=\"CommentReplyFrame\" class=\"wysiwyg\" 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Beaver"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Beaver</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a string <span class=\"tex-span\"><i>s</i></span>, and she tried to remember the string <span class=\"tex-span\"><i>s</i></span> correctly.</p><p>However, Ciel feels <span class=\"tex-span\"><i>n</i></span> strings <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\">1</sub>, <i>b</i><sub class=\"lower-index\">2</sub>, ... , <i>b</i><sub class=\"lower-index\"><i>n</i></sub></span> are really boring, and unfortunately she dislikes to remember a string that contains a boring substring. To make the thing worse, what she can remember is only the contiguous substring of <span class=\"tex-span\"><i>s</i></span>.</p><p>Determine the longest contiguous substring of <span class=\"tex-span\"><i>s</i></span> that does not contain any boring string, so that she can remember the longest part of Taro's response.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>In the first line there is a string <span class=\"tex-span\"><i>s</i></span>. The length of <span class=\"tex-span\"><i>s</i></span> will be between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">10<sup class=\"upper-index\">5</sup></span>, inclusive.</p><p>In the second line there is a single integer <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10</span>). Next <span class=\"tex-span\"><i>n</i></span> lines, there is a string <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>n</i></span>). Each length of <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> will be between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">10</span>, inclusive.</p><p>Each character of the given strings will be either a English alphabet (both lowercase and uppercase) or a underscore (<span class=\"tex-font-style-tt\">'_'</span>) or a digit. Assume that these strings are case-sensitive.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output in the first line two space-separated integers <span class=\"tex-span\"><i>len</i></span> and <span class=\"tex-span\"><i>pos</i></span>: the length of the longest contiguous substring of <span class=\"tex-span\"><i>s</i></span> that does not contain any <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>, and the first position of the substring (0-indexed). The position <span class=\"tex-span\"><i>pos</i></span> must be between <span class=\"tex-span\">0</span> and <span class=\"tex-span\">|<i>s</i>| - <i>len</i></span> inclusive, where <span class=\"tex-span\">|<i>s</i>|</span> is the length of string <span class=\"tex-span\"><i>s</i></span>.</p><p>If there are several solutions, output any.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>Go_straight_along_this_street<br/>5<br/>str<br/>long<br/>tree<br/>biginteger<br/>ellipse<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>12 4<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>IhaveNoIdea<br/>9<br/>I<br/>h<br/>a<br/>v<br/>e<br/>N<br/>o<br/>I<br/>d<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0 0<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>unagioisii<br/>2<br/>ioi<br/>unagi<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>5 5<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first sample, the solution is <span class=\"tex-font-style-tt\">traight_alon</span>.</p><p>In the second sample, the solution is an empty string, so the output can be «<span class=\"tex-font-style-tt\">0 0</span>», «<span class=\"tex-font-style-tt\">0 1</span>», «<span class=\"tex-font-style-tt\">0 2</span>», and so on.</p><p>In the third sample, the solution is either <span class=\"tex-font-style-tt\">nagio</span> or <span class=\"tex-font-style-tt\">oisii</span>.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"acacb2306080b3237c6071eb2e378ac2\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - C - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"8e6bf6d4098751659c2fe6a09a043d0292b7c34a\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - C - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.\r\n </div>\r\n </div>\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:100%;\"><a style=\"color: black\" href=\"/contest/79\">Codeforces Beta Round 71</a></th>\n </tr>\n <tr>\n <td class=\"left bottom\" colspan=\"1\"><span class=\"contest-state-phase\">Finished</span></td>\n </tr>\n </tbody>\n </table>\n </div>\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Practice?\n <div class=\"top-links\">\n </div>\n </div>\n<div>\r\n <div style=\"margin:1em;font-size:0.8em;\">\r\n Want to solve the contest problems after the official contest ends? 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It is supported only ICPC mode for virtual contests.\n\nIf you've seen these problems, a virtual contest is not for you - solve these problems in the archive.\n\nIf you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.\n\nNever use someone else's code, read the tutorials or communicate with other person during a virtual contest.\r\n </div>\r\n\r\n <div style=\"text-align:center;margin:1em;\">\r\n <form action=\"/contest/79/virtual\" method=\"get\">\r\n <input type=\"submit\" name=\"submit\" value=\"Start virtual contest\" style=\"padding:0 0.5em;\">\r\n </form>\r\n </div>\r\n</div>\r\n <script>\r\n $(function () {\r\n $(\".ContestVirtualFrame .sidebar-caption-icon\").click(function() {\r\n $(this).toggleClass(\"la-angle-down la-angle-right\");\r\n const $target = $(this).parent().next();\r\n $target.toggle();\r\n const dataPageUrl = $target.attr(\"data-page-url\");\r\n const collapsed = 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style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Heaps, binary search trees, segment trees, hash tables, etc\">\r\n data structures\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Dynamic programming\">\r\n dp\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Greedy algorithms\">\r\n greedy\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Hashing, hashtables\">\r\n hashing\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Prefix- and Z-functions, suffix structures, Knuth–Morris–Pratt algorithm, etc\">\r\n strings\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Two pointers\">\r\n two pointers\r\n</span>\r\n </div>\n\n <div class=\"roundbox borderTopRound borderBottomRound\" style=\"margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;\">\n<span class=\"tag-box\" style=\"font-size:1.2rem;\" title=\"Difficulty\">\r\n *1800\r\n</span>\r\n </div>\n <div style=\"clear:both;text-align:right;font-size:1.1rem;\">\r\n <span title=\"Please login into the Codeforces\" class=\"notice\">No 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\"Lucida Sans Typewriter\", \"DejaVu Sans Mono\", \"Bitstream Vera Sans Mono\", \"Liberation Mono\", \"Nimbus Mono L\", Monaco, \"Courier New\", Courier, monospace;\r\n}\r\n</style>\r\n<div class=\"roundbox sidebox sidebar-menu borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Contest materials\n<div class=\"top-links\">\n</div>\n</div>\n<ul>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1828\" title=\"Codeforces Beta Round #71\" target=\"_blank\">Announcement</a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"266:267\" resourceName=\"Announcement\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1848\" title=\"Codeforces Beta Round #71 - разбор (перевод A-D)\" target=\"_blank\">Tutorial #1 <span class=\"resource-locale\">(ru)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"855\" resourceName=\"Codeforces Beta Round #71 - разбор (перевод A-D)\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: both;\"></div>\r\n</li>\r\n<li>\r\n<span>\r\n<a href=\"/blog/entry/1839\" title=\"Codeforces Beta Round #71 Editorial\" target=\"_blank\">Tutorial #2 <span class=\"resource-locale\">(en)</span></a>\r\n</span>\r\n<span style=\"float: right;\">\r\n<img class=\"delete-resource-link\" resourceIds=\"854\" resourceName=\"Codeforces Beta Round #71 Editorial\"\r\nresourceManual=\"true\" src=\"//codeforces.org/s/73366/images/icons/close-10x10.png\"\r\nstyle=\"position: relative;bottom: -1px;left: 1px;cursor: pointer;\"/>\r\n</span>\r\n<div style=\"clear: 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\"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"C\" data-uuid=\"ps_688fab291cde9d4a247ac8798ad3d7cf5b0893bb\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">C. Beaver</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>2 seconds</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a string <span class=\"tex-span\"><i>s</i></span>, and she tried to remember the string <span class=\"tex-span\"><i>s</i></span> correctly.</p><p>However, Ciel feels <span class=\"tex-span\"><i>n</i></span> strings <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\">1</sub>, <i>b</i><sub class=\"lower-index\">2</sub>, ... , <i>b</i><sub class=\"lower-index\"><i>n</i></sub></span> are really boring, and unfortunately she dislikes to remember a string that contains a boring substring. To make the thing worse, what she can remember is only the contiguous substring of <span class=\"tex-span\"><i>s</i></span>.</p><p>Determine the longest contiguous substring of <span class=\"tex-span\"><i>s</i></span> that does not contain any boring string, so that she can remember the longest part of Taro's response.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>In the first line there is a string <span class=\"tex-span\"><i>s</i></span>. The length of <span class=\"tex-span\"><i>s</i></span> will be between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">10<sup class=\"upper-index\">5</sup></span>, inclusive.</p><p>In the second line there is a single integer <span class=\"tex-span\"><i>n</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10</span>). Next <span class=\"tex-span\"><i>n</i></span> lines, there is a string <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>n</i></span>). Each length of <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> will be between <span class=\"tex-span\">1</span> and <span class=\"tex-span\">10</span>, inclusive.</p><p>Each character of the given strings will be either a English alphabet (both lowercase and uppercase) or a underscore (<span class=\"tex-font-style-tt\">'_'</span>) or a digit. Assume that these strings are case-sensitive.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Output in the first line two space-separated integers <span class=\"tex-span\"><i>len</i></span> and <span class=\"tex-span\"><i>pos</i></span>: the length of the longest contiguous substring of <span class=\"tex-span\"><i>s</i></span> that does not contain any <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>, and the first position of the substring (0-indexed). The position <span class=\"tex-span\"><i>pos</i></span> must be between <span class=\"tex-span\">0</span> and <span class=\"tex-span\">|<i>s</i>| - <i>len</i></span> inclusive, where <span class=\"tex-span\">|<i>s</i>|</span> is the length of string <span class=\"tex-span\"><i>s</i></span>.</p><p>If there are several solutions, output any.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>Go_straight_along_this_street<br />5<br />str<br />long<br />tree<br />biginteger<br />ellipse<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>12 4<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>IhaveNoIdea<br />9<br />I<br />h<br />a<br />v<br />e<br />N<br />o<br />I<br />d<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>0 0<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>unagioisii<br />2<br />ioi<br />unagi<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>5 5<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>In the first sample, the solution is <span class=\"tex-font-style-tt\">traight_alon</span>.</p><p>In the second sample, the solution is an empty string, so the output can be «<span class=\"tex-font-style-tt\">0 0</span>», «<span class=\"tex-font-style-tt\">0 1</span>», «<span class=\"tex-font-style-tt\">0 2</span>», and so on.</p><p>In the third sample, the solution is either <span class=\"tex-font-style-tt\">nagio</span> or <span class=\"tex-font-style-tt\">oisii</span>.</p></div></div></div>\r\n</div>\r\n\r\n <script>\r\n $(function () {\r\n Codeforces.addMathJaxListener(function () {\r\n let $problem = $(\"div[problemindex=C]\");\r\n let uuid = $problem.attr(\"data-uuid\");\r\n let statementText = 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:25</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" dark\"><a href=\"/profile/adamant\" title=\"Grandmaster adamant\" class=\"rated-user user-red\">adamant</a></td>\n <td class=\" dark\">178</td>\n </tr>\n <tr>\n <td class=\"left \">2</td>\n <td class=\"\"><a href=\"/profile/awoo\" title=\"Master awoo\" class=\"rated-user user-orange\">awoo</a></td>\n <td class=\"\">167</td>\n </tr>\n <tr>\n <td class=\"left dark\">3</td>\n <td class=\" dark\"><a href=\"/profile/BledDest\" title=\"International Grandmaster BledDest\" class=\"rated-user user-red\">BledDest</a></td>\n <td class=\" dark\">165</td>\n </tr>\n <tr>\n <td class=\"left \">4</td>\n <td class=\"\"><a href=\"/profile/Um_nik\" title=\"Legendary Grandmaster Um_nik\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">U</span>m_nik</a></td>\n <td class=\"\">163</td>\n </tr>\n <tr>\n <td class=\"left dark\">5</td>\n <td class=\" dark\"><a href=\"/profile/maroonrk\" title=\"Legendary Grandmaster maroonrk\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='a95a71adf4d2d06cd0ab65247c5886c2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n </label>\r\n </div>\r\n <div style=\"padding: 0 1em 1em 1em;text-align:right;\">\r\n <input style=\"height:1.65em;padding:0 0.75em;\" type=\"submit\" value=\"Find\"/>\r\n </div>\r\n </form>\r\n </div>\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".handleBox\").autocomplete(\"/data/handles\", {\r\n delay: 200,\r\n width: 200,\r\n selectFirst: false,\r\n matchContains: true,\r\n minChars: 3\r\n });\r\n $(\".handleForm\").attr(\"autocomplete\", \"off\").submit(function () {\r\n var link = \"/profile/userHandle\".replace(\r\n \"userHandle\", $(this).find(\".handleBox\").val()\r\n );\r\n window.location = link;\r\n return false;\r\n });\r\n });\n </script>\n\r\n\r\n\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Recent actions\n <div class=\"top-links\">\n </div>\n </div>\n <div class=\"recent-actions\">\r\n <ul>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a> →\r\n <a href=\"/blog/entry/121073\">Meta Hacker Cup 2023 Round 1</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pyqe\" title=\"International Grandmaster Pyqe\" class=\"rated-user user-red\">Pyqe</a> →\r\n <a href=\"/blog/entry/121025\">Codeforces Round #902 (Div. 1, Div. 2, based on COMPFEST 15 — Final Round)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/Pranshu_Pandya\" title=\"Specialist Pranshu_Pandya\" class=\"rated-user user-cyan\">Pranshu_Pandya</a> →\r\n <a href=\"/blog/entry/121171\">An Interesting Tree Problem</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/.Danet\" title=\"Expert .Danet\" class=\"rated-user user-blue\">.Danet</a> →\r\n <a href=\"/blog/entry/121172\">[TLE on pretest1]</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" style=\"vertical-align:middle;\"/>\r\n</div>\r\n</li>\r\n <li><div style=\"font-size:0.9em;padding:0.5em 0;\">\r\n<a href=\"/profile/sszcdjr\" title=\"Master sszcdjr\" class=\"rated-user user-orange\">sszcdjr</a> →\r\n <a href=\"/blog/entry/119859\">Codeforces Round 896 (Div. 1, Div. 2)</a>\r\n <img alt=\"New comment(s)\" title=\"New comment(s)\" src=\"//codeforces.org/s/81027/images/icons/comment-12x12.png\" 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class=\"rated-user user-red\">yeputons</a>,\r\n <span class=\"format-humantime\" title=\"May/02/2011 19:09\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/ru.png\" alt=\"In Russian\" title=\"In Russian\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><h2>Задача A. Игра в автобусе (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2>В этой задаче прекрасно работает симуляция "в лоб" - нам прямым текстом сказано, как ходят игроки. Лиса Кейл играет по следующей стратегии: если есть хотя бы две монеты по 100 йен и две монеты по 10 йен, она берёт их. Иначе, если есть хотя бы одна монета по 100 йен и 12 монет по 10 - она забирает их. В противном случае она берет 22 монеты по 10 йен. Если ей это не удаётся - выигрывает Ханако. Кролик поступает точно также, но в обратном порядке. Сложность решения - <i>O(x+y)</i>.<br /><br /><h2>Задача B. Разноцветное поле (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a></span></span></span>)</h2>Решение, использующее массив <i>NxM</i> получает TL/ML, и, разумеется, мы не можем решать задачу "в лоб". Так как и запросов, и безжизненных клеток не более 1000, нам достаточно научиться отвечать на каждый запрос за время <i>O(K)</i>.<br />Пусть <i>(a, b)</i> - клетка из очередного запроса. Является ли она безжизненной, или нет - решит один цикл <i>for</i> по входным данным.<br />Итак, мы знаем, что на этой клетке что-то растёт. Пусть <i>I</i> - суммарное число клеток перед <i>(a, b)</i>, а <i>J</i> - количество безжизненных клеток перед <i>(a, b)</i>. Тогда ответ определяется значением <i>(I-J) mod 3</i> (где <i>0</i> => "<i>Carrots</i>", <i>1</i> => "<i>Kiwis</i>", <i>2</i> => "<i>Grapes</i>"). Путем несложной математики можно понять, что I=(a-1)M+(b-1) (первое слагаемое - это количество клеток в предыдущих строках, а второе - количество предыдущих клеток в текущей строке), а величину <i>J</i> можно опять же подсчитать циклом <i>for</i> за <i>O(K)</i>.<br />Получаем решение за <i>O(TK)</i>, где <i>T</i> - количество запросов.<br /><br /><h2>Задача C. Скучные строки (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a>)</span></span></span></h2>Мы можем представить каждую подстроку в <i>s</i>, совпадающую с какой-либо скучной строкой, как "запрещённый отрезок". Таких кандидатов в плохие отрезки для каждой из <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> порядка <i>O(n)</i>, поэтому мы можем подсчитать их все за <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span> (да, тут не требуется никаких специальных алгоритмов, например, КМП).<br />Теперь мы можем переписать задачу по-другому: дано не более <span class=\"tex-span\">10<sup class=\"upper-index\">6</sup></span> запрещенных отрезков, найти отрезок, который не содержит полностью ни один из запрещённых. <br /><br />Давайте подсчитаем величину <i>right[i]</i> - минимальная правая граница среди запрещенных интервалов с левой границей в <i>i</i>. Если таких интервалов нет, положим <i>right[i]=|s|</i>.<br /><br />Теперь давайте переберём начало ответа, начиная с <i>|s|</i> и до <i>0</i>. Вначале ответ - пустая строка. Пусть ответ для предыдщего начала - подстрока с <i>i+1</i> до <i>j</i>. Тогда, если <i>right[i]>j</i>, то мы можем спокойно приписать один символ слева и ответ увеличивается на 1 - подстрока с <i>i</i> до <i>j</i>. Если же <i>right[i]<=j,</i> то ответ не может быть дальше, чем до <i>right[i]-1</i>, в противном случае мы полностью покроем "плохой отрезок". Таким образом, мы пробежимся по всем возможным началам ответов за <i>O(|s|)</i>.<br /><br />Итого время работы - <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span>.<br /><br /><div align=\"center\"><h2>Задача D. Кодовый замок (автор - <span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"></span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2><div align=\"left\">Давайте слегка переформулируем состояние замка: определим массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> следующим образом: <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, если панели <span class=\"tex-span\"><i>i</i></span> и <span class=\"tex-span\"><i>i</i> + 1</span> находятся в одинаковом состоянии и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 1</span> в противном случае. Положим, что панели <span class=\"tex-span\">0</span> и <span class=\"tex-span\"><i>n</i> + 1</span> выключены (OFF). Если Кейл изменяет состояние панелей на отрезке с <i>x</i> до <i>x+a-1</i> (включительно), то в массиве <i>b</i> изменяются значения <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>:<br /><img src=\"https://irulop.cc/adsl/Deditorial.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /><b>Задача D'</b>.<br />У Вас есть массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>. Не более 20 (<i>=2k</i>) элементов - единички. За каждый ход Вы можете изменить значения в <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>, где <span class=\"tex-span\"><i>a</i></span> - элемент <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> и <span class=\"tex-span\">0 ≤ <i>x</i> ≤ <i>n</i> - <i>a</i></span>. Определите минимальное количество ходов, требуемое для обнуления массива (мы просто "перевернули" порядок действий).<br /><br />Понятно, что порядок ходов не важен. Также понятно, что если массив еще не обнулён, то есть такой индекс <span class=\"tex-span\"><i>x</i></span>, что <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub> = 1</span>, и нам придётся походить, задев этот индекс, хотя бы один раз. Давайте следаем этот ход первым. Далее применим аналогичное рассуждение и получим, что на каждом ходу хотя бы одно из двух чисел <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span> - единица. <br /><br /><b>Задача D''.</b><br />Теперь давайте построим граф с вершинами от <i>0</i> до<i> n+1</i>. Ребро между двумя вершинами <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">1</sub></span> и <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">2</sub></span> будет в том, и только том случае, если <span class=\"tex-span\">|<i>v</i><sub class=\"lower-index\">1</sub> - <i>v</i><sub class=\"lower-index\">2</sub>|</span> - элемент массива <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (то есть, мы можем сделать ход <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">1</sub></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">2</sub></sub></span>. Также изначально есть не более 20 фишек (стоят в позициях изначальных единиц в массиве <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>). За один ход мы можем подвинуть фишку по какому-либо ребру. Если две фишки оказываются в одной вершине, они исчезают. Определить минимальное количество ходов, необходимое для избавления от всех фишек.<br /><br />Для начала предподсчитаем попарные расстояния между всеми фишками. Это можно сделать, 20 раз запустив BFS. А далее имеем динамику по подмножествам: <i>d[S]</i> (где <i>S</i> - подмножество фишек) - минимальное количество шагов, чтобы убрать все фишки из <i>S</i>. Если <i>S</i> пусто, <i>d[S=0]</i>=0. Если <i><span class=\"tex-span\"><i>S</i> = {<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\">1</sub>, ..., <i>s</i><sub class=\"lower-index\"><i>m</i> - 1</sub>}</span></i> непусто, то мы выбирае фишки, которая исчезнет вместе с нулевой, и делаем переход: <span class=\"tex-span\"><i>d</i>[<i>S</i>] = <i>min</i>(<i>d</i>[<i>S</i>\\{<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>}] + <i>dist</i>(<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>))</span>, где <span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>m</i> - 1</span>.<br /><br />Итоговая сложность решения - <span class=\"tex-span\"><i>O</i>(<i>knl</i> + <i>k</i>· 2<sup class=\"upper-index\">2<i>k</i></sup>)</span>.<br /><br /></div></div></div>\r\n\r\n </div>\r\n\r\n\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-1484-1848\").click(function() {\n var that = 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Password"},"problem_statement":{"kind":"string","value":"<div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Password</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Finally Fox Ciel arrived in front of her castle!</p><p>She have to type a password to enter her castle. An input device attached to her castle is a bit unusual.</p><p>The input device is a <span class=\"tex-span\">1 × <i>n</i></span> rectangle divided into <span class=\"tex-span\"><i>n</i></span> square panels. They are numbered <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span> from left to right. Each panel has a state either ON or OFF. Initially all panels are in the OFF state. She can enter her castle if and only if <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">1</sub></span>-th, <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">2</sub></span>-th, <span class=\"tex-span\">...</span>, <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>k</i></sub></span>-th panels are in the ON state and other panels are in the OFF state.</p><p>She is given an array <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\">1</sub></span>, <span class=\"tex-span\">...</span>, <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>l</i></sub></span>. In each move, she can perform the following operation: choose an index <span class=\"tex-span\"><i>i</i></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>l</i></span>), choose consecutive <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> panels, and flip the states of those panels (i.e. ON<span class=\"tex-span\"> → </span>OFF, OFF<span class=\"tex-span\"> → </span>ON).</p><p>Unfortunately she forgets how to type the password with only above operations. Determine the minimal number of operations required to enter her castle.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>k</i></span> and <span class=\"tex-span\"><i>l</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10000, 1 ≤ <i>k</i> ≤ 10, 1 ≤ <i>l</i> ≤ 100</span>), separated by single spaces.</p><p>The second line contains <span class=\"tex-span\"><i>k</i></span> integers <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">1</sub></span>, ..., <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>k</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>x</i><sub class=\"lower-index\">1</sub> < <i>x</i><sub class=\"lower-index\">2</sub> < ... < <i>x</i><sub class=\"lower-index\"><i>k</i></sub> ≤ <i>n</i></span>), separated by single spaces.</p><p>The third line contains <span class=\"tex-span\"><i>l</i></span> integers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\">1</sub></span>, ..., <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>l</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>n</i></span>), separated by single spaces. It is possible that some elements of the array <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> are equal value.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print the minimal number of moves required to type the password. If it's impossible, print <span class=\"tex-font-style-tt\">-1</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>10 8 2<br/>1 2 3 5 6 7 8 9<br/>3 5<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br/></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 2 1<br/>1 2<br/>3<br/></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>-1<br/></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>One possible way to type the password in the first example is following: In the first move, choose 1st, 2nd, 3rd panels and flip those panels. In the second move, choose 5th, 6th, 7th, 8th, 9th panels and flip those panels.</p></div></div>"},"page":{"kind":"string","value":"\r\n<!DOCTYPE HTML PUBLIC \"-//W3C//DTD HTML 4.01//EN\">\n<html lang=\"en\">\n<head>\n <meta http-equiv=\"content-type\" content=\"text/html; charset=UTF-8\">\n <meta name=\"X-Csrf-Token\" content=\"fbc45896fb210531b01169b20e314113\"/>\n <meta id=\"viewport\" name=\"viewport\" content=\"width=device-width, initial-scale=0.01\"/>\n\n\n <script type=\"text/javascript\" src=\"//codeforces.org/s/73366/js/jquery-1.8.3.js\"></script>\n <script type=\"application/javascript\">\n window.locale = \"en\";\n window.standaloneContest = false;\n function adjustViewport() {\n var screenWidthPx = Math.min($(window).width(), window.screen.width);\n var siteWidthPx = 1100; // min width of site\n var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0);\n var viewport = \"width=device-width, initial-scale=\" + ratio;\n $('#viewport').attr('content', viewport);\n var style = $('<style>html * { max-height: 1000000px; }</style>');\n $('html > head').append(style);\n }\n\n if ( /Android|webOS|iPhone|iPad|iPod|BlackBerry/i.test(navigator.userAgent) ) {\n adjustViewport();\n }\n\n /* Protection against trailing dot in domain. */\n let hostLength = window.location.host.length;\n if (hostLength > 1 && window.location.host[hostLength - 1] === '.') {\n window.location = window.location.protocol + \"//\" + window.location.host.substring(0, hostLength - 1);\n }\n </script>\n <meta http-equiv=\"pragma\" content=\"no-cache\">\n <meta http-equiv=\"expires\" content=\"-1\">\n <meta http-equiv=\"profileName\" content=\"j3\">\n <meta name=\"google-site-verification\" content=\"OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90\"/>\n <meta property=\"fb:admins\" content=\"100001352546622\" />\n <meta property=\"og:image\" content=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <link rel=\"image_src\" href=\"//codeforces.org/s/73366/images/codeforces-sponsored-by-ton.png\" />\n <meta property=\"og:title\" content=\"Problem - D - Codeforces\"/>\n <meta property=\"og:description\" content=\"\"/>\n \n <meta property=\"og:site_name\" content=\"Codeforces\"/>\n \n \n \n <meta name=\"cc\" content=\"8e6bf6d4098751659c2fe6a09a043d0292b7c34a\"/>\n \n \n <meta name=\"utc_offset\" content=\"+03:00\"/>\n <meta name=\"verify-reformal\" content=\"f56f99fd7e087fb6ccb48ef2\" />\n <title>Problem - D - Codeforces</title>\n <meta name=\"description\" content=\"Codeforces. 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nodeToText(statmentNode, false).join(\"\").replace(/ +/g, \" \").replace(/\\n\\n+/g, \"\\n\\n\");\r\n let result = [];\r\n for (let i = 0; i < text.length; i++) {\r\n const c = text.charAt(i);\r\n if (c === OPENING_SPACE) {\r\n if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) {\r\n result.push('+');\r\n }\r\n } else if (c === CLOSING_SPACE) {\r\n if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) {\r\n result.push('-');\r\n }\r\n } else {\r\n result.push(c);\r\n }\r\n }\r\n return result.join(\"\").split(\"\\n\").map(value => value.trim()).join(\"\\n\");\r\n };\r\n </script>\r\n <div class=\"diff-popup\">\r\n </div>\r\n\r\n<div class=\"problemindexholder\" problemindex=\"D\" data-uuid=\"ps_2aa603d7046881874bd06e02486b88f2596efe6f\">\r\n <div style=\"display: none; margin:1em 0;text-align: center; position: relative;\" class=\"alert alert-info diff-notifier\">\r\n <div>The problem statement has recently been changed. <a class=\"view-changes\" href=\"#\">View the changes.</a></div>\r\n <span class=\"diff-notifier-close\" style=\"position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;\">×</span>\r\n </div>\r\n <div class=\"ttypography\"><div class=\"problem-statement\"><div class=\"header\"><div class=\"title\">D. Password</div><div class=\"time-limit\"><div class=\"property-title\">time limit per test</div>1 second</div><div class=\"memory-limit\"><div class=\"property-title\">memory limit per test</div>256 megabytes</div><div class=\"input-file\"><div class=\"property-title\">input</div>standard input</div><div class=\"output-file\"><div class=\"property-title\">output</div>standard output</div></div><div><p>Finally Fox Ciel arrived in front of her castle!</p><p>She have to type a password to enter her castle. An input device attached to her castle is a bit unusual.</p><p>The input device is a <span class=\"tex-span\">1 × <i>n</i></span> rectangle divided into <span class=\"tex-span\"><i>n</i></span> square panels. They are numbered <span class=\"tex-span\">1</span> to <span class=\"tex-span\"><i>n</i></span> from left to right. Each panel has a state either ON or OFF. Initially all panels are in the OFF state. She can enter her castle if and only if <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">1</sub></span>-th, <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">2</sub></span>-th, <span class=\"tex-span\">...</span>, <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>k</i></sub></span>-th panels are in the ON state and other panels are in the OFF state.</p><p>She is given an array <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\">1</sub></span>, <span class=\"tex-span\">...</span>, <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>l</i></sub></span>. In each move, she can perform the following operation: choose an index <span class=\"tex-span\"><i>i</i></span> (<span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>l</i></span>), choose consecutive <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> panels, and flip the states of those panels (i.e. ON<span class=\"tex-span\"> → </span>OFF, OFF<span class=\"tex-span\"> → </span>ON).</p><p>Unfortunately she forgets how to type the password with only above operations. Determine the minimal number of operations required to enter her castle.</p></div><div class=\"input-specification\"><div class=\"section-title\">Input</div><p>The first line contains three integers <span class=\"tex-span\"><i>n</i></span>, <span class=\"tex-span\"><i>k</i></span> and <span class=\"tex-span\"><i>l</i></span> (<span class=\"tex-span\">1 ≤ <i>n</i> ≤ 10000, 1 ≤ <i>k</i> ≤ 10, 1 ≤ <i>l</i> ≤ 100</span>), separated by single spaces.</p><p>The second line contains <span class=\"tex-span\"><i>k</i></span> integers <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\">1</sub></span>, ..., <span class=\"tex-span\"><i>x</i><sub class=\"lower-index\"><i>k</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>x</i><sub class=\"lower-index\">1</sub> < <i>x</i><sub class=\"lower-index\">2</sub> < ... < <i>x</i><sub class=\"lower-index\"><i>k</i></sub> ≤ <i>n</i></span>), separated by single spaces.</p><p>The third line contains <span class=\"tex-span\"><i>l</i></span> integers <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\">1</sub></span>, ..., <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>l</i></sub></span> (<span class=\"tex-span\">1 ≤ <i>a</i><sub class=\"lower-index\"><i>i</i></sub> ≤ <i>n</i></span>), separated by single spaces. It is possible that some elements of the array <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> are equal value.</p></div><div class=\"output-specification\"><div class=\"section-title\">Output</div><p>Print the minimal number of moves required to type the password. If it's impossible, print <span class=\"tex-font-style-tt\">-1</span>.</p></div><div class=\"sample-tests\"><div class=\"section-title\">Examples</div><div class=\"sample-test\"><div class=\"input\"><div class=\"title\">Input</div><pre>10 8 2<br />1 2 3 5 6 7 8 9<br />3 5<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>2<br /></pre></div><div class=\"input\"><div class=\"title\">Input</div><pre>3 2 1<br />1 2<br />3<br /></pre></div><div class=\"output\"><div class=\"title\">Output</div><pre>-1<br /></pre></div></div></div><div class=\"note\"><div class=\"section-title\">Note</div><p>One possible way to type the password in the first example is following: In the first move, choose 1st, 2nd, 3rd panels and flip those panels. 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Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n <div style=\"text-align:center;\">\r\n <span class='contest-state-phase'>Before contest</span><br/><a href=\"/contests/1876,1877\">Codeforces Round 902 (Div. 2, based on COMPFEST 15 - Final Round)</a><br/><span class='countdown' home='//codeforces.org/s/81027' noRedirection='true' textBeforeRedirect=''>13:56:25</span><br/><a href=\"/contestRegistration/1877\">Register now »</a><div class=\"smaller notice\">*has extra registration<i class=\"icon-question-sign clickable-title\" title=\"If you are late to register in 5 minutes before the start, you can register later during the extra registration. Extra registration opens 10 minutes after the contest starts and lasts 25 minutes.\"></i></div>\r\n </div>\r\n</div>\r\n </div>\n\n<style data-nocturne=\"true\" type=\"text/css\">\n._StreamsSidebarFrame_frame {\n padding: 0.5em 0.5em 0 0.5em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream {\n text-align: center;\n border-bottom: 1px solid #b9b9b9;\n margin: 0 -0.5em 0.5em -0.5em;\n padding: 0 1em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_user {\n margin: 0 0 0.5em 0;\n font-size: 0.8em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream ._StreamsSidebarFrame_timeMark {\n color: #777;\n font-size: 0.9em;\n}\n._StreamsSidebarFrame_frame ._StreamsSidebarFrame_stream:last-of-type {\n border-bottom: unset;\n margin: unset;\n padding: 0 0.5em 0.5em 1em;\n}\n._StreamsSidebarFrame_frame ._viewAll {\n text-align: right;\n}\n.moreRunningStreamsSidebarNote {\n color: #777 !important;\n text-decoration: none;\n}\n</style>\n\n\n<script data-nocturne=\"true\"> $(function () {\n\n}); </script>\n\n<div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n<div class=\"caption titled\">→ Top rated\n<div class=\"top-links\">\n</div>\n</div>\n<table class=\"rtable \">\n<tbody>\n<tr>\n<th class=\"left\" style=\"width:2.25em;\">#</th>\n<th class=\"\">User</th>\n<th class=\"\" style=\"width:5em;\">Rating</th>\n</tr>\n<tr>\n<td class=\"left dark\">1</td>\n<td class=\" dark\"><a href=\"/profile/tourist\" title=\"Legendary Grandmaster tourist\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">t</span>ourist</a></td>\n<td class=\" dark\">3775</td>\n</tr>\n<tr>\n<td class=\"left \">2</td>\n<td class=\"\"><a href=\"/profile/Benq\" title=\"Legendary Grandmaster Benq\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">B</span>enq</a></td>\n<td class=\"\">3724</td>\n</tr>\n<tr>\n<td class=\"left dark\">3</td>\n<td class=\" dark\"><a href=\"/profile/orzdevinwang\" title=\"Legendary Grandmaster orzdevinwang\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">o</span>rzdevinwang</a></td>\n<td class=\" dark\">3697</td>\n</tr>\n<tr>\n<td class=\"left \">4</td>\n<td class=\"\"><a href=\"/profile/Radewoosh\" title=\"Legendary Grandmaster Radewoosh\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>adewoosh</a></td>\n<td class=\"\">3651</td>\n</tr>\n<tr>\n<td class=\"left dark\">5</td>\n<td class=\" dark\"><a href=\"/profile/jiangly\" title=\"Legendary Grandmaster jiangly\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">j</span>iangly</a></td>\n<td class=\" dark\">3632</td>\n</tr>\n<tr>\n<td class=\"left \">6</td>\n<td class=\"\"><a href=\"/profile/cnnfls_csy\" title=\"Legendary Grandmaster cnnfls_csy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">c</span>nnfls_csy</a></td>\n<td class=\"\">3620</td>\n</tr>\n<tr>\n<td class=\"left dark\">7</td>\n<td class=\" dark\"><a href=\"/profile/-0.5\" title=\"Legendary Grandmaster -0.5\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">-</span>0.5</a></td>\n<td class=\" dark\">3545</td>\n</tr>\n<tr>\n<td class=\"left \">8</td>\n<td class=\"\"><a href=\"/profile/inaFSTream\" title=\"Legendary Grandmaster inaFSTream\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">i</span>naFSTream</a></td>\n<td class=\"\">3478</td>\n</tr>\n<tr>\n<td class=\"left dark\">9</td>\n<td class=\" dark\"><a href=\"/profile/fantasy\" title=\"Legendary Grandmaster fantasy\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">f</span>antasy</a></td>\n<td class=\" dark\">3468</td>\n</tr>\n<tr>\n<td class=\"left bottom\">10</td>\n<td class=\"bottom\"><a href=\"/profile/Rebelz\" title=\"Legendary Grandmaster Rebelz\" class=\"rated-user user-legendary\"><span class=\"legendary-user-first-letter\">R</span>ebelz</a></td>\n<td class=\"bottom\">3415</td>\n</tr>\n</tbody>\n</table>\n<div class=\"bottom-links\">\n<table style=\"width:100%;\">\n<tbody>\n<tr>\n<td style=\"text-align:left;\">\n<a href=\"/ratings/countries\">Countries</a> |\n<a href=\"/ratings/cities\">Cities</a> |\n<a href=\"/ratings/organizations\">Organizations</a>\n</td>\n<td style=\"text-align:right;\">\n<a href=\"/ratings\">View all →</a>\n</td>\n</tr>\n</tbody>\n</table>\n</div>\n</div><div class=\"roundbox sidebox top-contributed borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Top contributors\n <div class=\"top-links\">\n </div>\n </div>\n <table class=\"rtable \">\n <tbody>\n <tr>\n <th class=\"left\" style=\"width:2.25em;\">#</th>\n <th class=\"\">User</th>\n <th class=\"\" style=\"width:5em;\">Contrib.</th>\n </tr>\n <tr>\n <td class=\"left dark\">1</td>\n <td class=\" 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class=\"legendary-user-first-letter\">m</span>aroonrk</a></td>\n <td class=\" dark\">162</td>\n </tr>\n <tr>\n <td class=\"left \">6</td>\n <td class=\"\"><a href=\"/profile/SecondThread\" title=\"Master SecondThread\" class=\"rated-user user-orange\">SecondThread</a></td>\n <td class=\"\">160</td>\n </tr>\n <tr>\n <td class=\"left dark\">7</td>\n <td class=\" dark\"><a href=\"/profile/nor\" title=\"Master nor\" class=\"rated-user user-orange\">nor</a></td>\n <td class=\" dark\">158</td>\n </tr>\n <tr>\n <td class=\"left \">8</td>\n <td class=\"\"><a href=\"/profile/-is-this-fft-\" title=\"Grandmaster -is-this-fft-\" class=\"rated-user user-red\">-is-this-fft-</a></td>\n <td class=\"\">152</td>\n </tr>\n <tr>\n <td class=\"left dark\">9</td>\n <td class=\" dark\"><a href=\"/profile/kostka\" title=\"International Grandmaster kostka\" class=\"rated-user user-red\">kostka</a></td>\n <td class=\" dark\">145</td>\n </tr>\n <tr>\n <td class=\"left bottom\">10</td>\n <td class=\"bottom\"><a href=\"/profile/TheScrasse\" title=\"International Grandmaster TheScrasse\" class=\"rated-user user-red\">TheScrasse</a></td>\n <td class=\"bottom\">144</td>\n </tr>\n </tbody>\n </table>\n <div class=\"bottom-links\">\n <table style=\"width:100%;\">\n <tbody>\n <tr>\n <td style=\"text-align:left;\">\n </td>\n <td style=\"text-align:right;\">\n <a href=\"/top-contributed\">View all →</a>\n </td>\n </tr>\n </tbody>\n </table>\n </div>\n </div>\n\r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n });\n </script>\r\n\r\n\n <div class=\"roundbox sidebox borderTopRound \" style=\"\">\n <div class=\"caption titled\">→ Find user\n <div class=\"top-links\">\n </div>\n </div>\n <form class=\"handleForm\" method=\"post\"><input type='hidden' name='csrf_token' value='a95a71adf4d2d06cd0ab65247c5886c2'/>\r\n <div style=\"padding:1em;text-align:right;\">\r\n <label style=\"padding-right:1em;\">Handle:\r\n <input style=\"width:12em;\" type=\"text\" class=\"handleBox\"/>\r\n 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class=\"rated-user user-red\">yeputons</a>,\r\n <span class=\"format-humantime\" title=\"May/02/2011 19:09\">12 years ago</span>,\r\n \r\n <img style=\"position: relative;top: 5px;\" src=\"//codeforces.org/s/81027/images/flags/24/ru.png\" alt=\"In Russian\" title=\"In Russian\"/>\r\n\r\n\r\n\r\n <span style=\"position:absolute;right:0;top:0.05em;margin-right:1em;display:inline;font-size:0.75em;\">\r\n <div style=\"margin-top:0.25em;\">\r\n </div>\r\n </span>\r\n </div>\r\n\r\n <div class=\"content\">\r\n <div class=\"ttypography\"><h2>Задача A. Игра в автобусе (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"> </span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2>В этой задаче прекрасно работает симуляция "в лоб" - нам прямым текстом сказано, как ходят игроки. Лиса Кейл играет по следующей стратегии: если есть хотя бы две монеты по 100 йен и две монеты по 10 йен, она берёт их. Иначе, если есть хотя бы одна монета по 100 йен и 12 монет по 10 - она забирает их. В противном случае она берет 22 монеты по 10 йен. Если ей это не удаётся - выигрывает Ханако. Кролик поступает точно также, но в обратном порядке. Сложность решения - <i>O(x+y)</i>.<br /><br /><h2>Задача B. Разноцветное поле (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a></span></span></span>)</h2>Решение, использующее массив <i>NxM</i> получает TL/ML, и, разумеется, мы не можем решать задачу "в лоб". Так как и запросов, и безжизненных клеток не более 1000, нам достаточно научиться отвечать на каждый запрос за время <i>O(K)</i>.<br />Пусть <i>(a, b)</i> - клетка из очередного запроса. Является ли она безжизненной, или нет - решит один цикл <i>for</i> по входным данным.<br />Итак, мы знаем, что на этой клетке что-то растёт. Пусть <i>I</i> - суммарное число клеток перед <i>(a, b)</i>, а <i>J</i> - количество безжизненных клеток перед <i>(a, b)</i>. Тогда ответ определяется значением <i>(I-J) mod 3</i> (где <i>0</i> => "<i>Carrots</i>", <i>1</i> => "<i>Kiwis</i>", <i>2</i> => "<i>Grapes</i>"). Путем несложной математики можно понять, что I=(a-1)M+(b-1) (первое слагаемое - это количество клеток в предыдущих строках, а второе - количество предыдущих клеток в текущей строке), а величину <i>J</i> можно опять же подсчитать циклом <i>for</i> за <i>O(K)</i>.<br />Получаем решение за <i>O(TK)</i>, где <i>T</i> - количество запросов.<br /><br /><h2>Задача C. Скучные строки (автор - <span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"></span></span><span style=\"font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"><span style=\"font-weight: normal;\"><span style=\"border-collapse: collapse;font-size: 13.0px;line-height: normal;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/ir5\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel ir5\">ir5</a>)</span></span></span></h2>Мы можем представить каждую подстроку в <i>s</i>, совпадающую с какой-либо скучной строкой, как "запрещённый отрезок". Таких кандидатов в плохие отрезки для каждой из <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> порядка <i>O(n)</i>, поэтому мы можем подсчитать их все за <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span> (да, тут не требуется никаких специальных алгоритмов, например, КМП).<br />Теперь мы можем переписать задачу по-другому: дано не более <span class=\"tex-span\">10<sup class=\"upper-index\">6</sup></span> запрещенных отрезков, найти отрезок, который не содержит полностью ни один из запрещённых. <br /><br />Давайте подсчитаем величину <i>right[i]</i> - минимальная правая граница среди запрещенных интервалов с левой границей в <i>i</i>. Если таких интервалов нет, положим <i>right[i]=|s|</i>.<br /><br />Теперь давайте переберём начало ответа, начиная с <i>|s|</i> и до <i>0</i>. Вначале ответ - пустая строка. Пусть ответ для предыдщего начала - подстрока с <i>i+1</i> до <i>j</i>. Тогда, если <i>right[i]>j</i>, то мы можем спокойно приписать один символ слева и ответ увеличивается на 1 - подстрока с <i>i</i> до <i>j</i>. Если же <i>right[i]<=j,</i> то ответ не может быть дальше, чем до <i>right[i]-1</i>, в противном случае мы полностью покроем "плохой отрезок". Таким образом, мы пробежимся по всем возможным началам ответов за <i>O(|s|)</i>.<br /><br />Итого время работы - <span class=\"tex-span\"><i>O</i>(|<i>s</i>|· <i>n</i>· |<i>b</i><sub class=\"lower-index\"><i>i</i></sub>|)</span>.<br /><br /><div align=\"center\"><h2>Задача D. Кодовый замок (автор - <span style=\"font-weight: normal;font-family: verdana , arial , sans-serif;font-size: 12.0px;line-height: 20.0px;\"></span><span style=\"border-collapse: collapse;font-family: verdana , arial , sans-serif;font-size: 13.0px;\"><a class=\"rated-user user-red\" href=\"//www.codeforces.com/profile/rng_58\" style=\"font-family: arial;text-decoration: none;font-weight: bold;color: rgb(0,0,204);\" title=\"Colonel rng_58\">rng_58</a>)</span></h2><div align=\"left\">Давайте слегка переформулируем состояние замка: определим массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span> следующим образом: <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 0</span>, если панели <span class=\"tex-span\"><i>i</i></span> и <span class=\"tex-span\"><i>i</i> + 1</span> находятся в одинаковом состоянии и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub> = 1</span> в противном случае. Положим, что панели <span class=\"tex-span\">0</span> и <span class=\"tex-span\"><i>n</i> + 1</span> выключены (OFF). Если Кейл изменяет состояние панелей на отрезке с <i>x</i> до <i>x+a-1</i> (включительно), то в массиве <i>b</i> изменяются значения <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>:<br /><img src=\"https://irulop.cc/adsl/Deditorial.png\" style=\"max-width: 100.0%;max-height: 100.0%;\" /><br /><b>Задача D'</b>.<br />У Вас есть массив <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>. Не более 20 (<i>=2k</i>) элементов - единички. За каждый ход Вы можете изменить значения в <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span>, где <span class=\"tex-span\"><i>a</i></span> - элемент <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> и <span class=\"tex-span\">0 ≤ <i>x</i> ≤ <i>n</i> - <i>a</i></span>. Определите минимальное количество ходов, требуемое для обнуления массива (мы просто "перевернули" порядок действий).<br /><br />Понятно, что порядок ходов не важен. Также понятно, что если массив еще не обнулён, то есть такой индекс <span class=\"tex-span\"><i>x</i></span>, что <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub> = 1</span>, и нам придётся походить, задев этот индекс, хотя бы один раз. Давайте следаем этот ход первым. Далее применим аналогичное рассуждение и получим, что на каждом ходу хотя бы одно из двух чисел <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>x</i> + <i>a</i></sub></span> - единица. <br /><br /><b>Задача D''.</b><br />Теперь давайте построим граф с вершинами от <i>0</i> до<i> n+1</i>. Ребро между двумя вершинами <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">1</sub></span> и <span class=\"tex-span\"><i>v</i><sub class=\"lower-index\">2</sub></span> будет в том, и только том случае, если <span class=\"tex-span\">|<i>v</i><sub class=\"lower-index\">1</sub> - <i>v</i><sub class=\"lower-index\">2</sub>|</span> - элемент массива <span class=\"tex-span\"><i>a</i><sub class=\"lower-index\"><i>i</i></sub></span> (то есть, мы можем сделать ход <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">1</sub></sub></span> и <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>v</i><sub class=\"lower-index\">2</sub></sub></span>. Также изначально есть не более 20 фишек (стоят в позициях изначальных единиц в массиве <span class=\"tex-span\"><i>b</i><sub class=\"lower-index\"><i>i</i></sub></span>). За один ход мы можем подвинуть фишку по какому-либо ребру. Если две фишки оказываются в одной вершине, они исчезают. Определить минимальное количество ходов, необходимое для избавления от всех фишек.<br /><br />Для начала предподсчитаем попарные расстояния между всеми фишками. Это можно сделать, 20 раз запустив BFS. А далее имеем динамику по подмножествам: <i>d[S]</i> (где <i>S</i> - подмножество фишек) - минимальное количество шагов, чтобы убрать все фишки из <i>S</i>. Если <i>S</i> пусто, <i>d[S=0]</i>=0. Если <i><span class=\"tex-span\"><i>S</i> = {<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\">1</sub>, ..., <i>s</i><sub class=\"lower-index\"><i>m</i> - 1</sub>}</span></i> непусто, то мы выбирае фишки, которая исчезнет вместе с нулевой, и делаем переход: <span class=\"tex-span\"><i>d</i>[<i>S</i>] = <i>min</i>(<i>d</i>[<i>S</i>\\{<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>}] + <i>dist</i>(<i>s</i><sub class=\"lower-index\">0</sub>, <i>s</i><sub class=\"lower-index\"><i>i</i></sub>))</span>, где <span class=\"tex-span\">1 ≤ <i>i</i> ≤ <i>m</i> - 1</span>.<br /><br />Итоговая сложность решения - <span class=\"tex-span\"><i>O</i>(<i>knl</i> + <i>k</i>· 2<sup class=\"upper-index\">2<i>k</i></sup>)</span>.<br /><br /></div></div></div>\r\n\r\n </div>\r\n\r\n\r\n \r\n <script type=\"text/javascript\">\n $(document).ready(function () {\n $(\".delete-resource-link-1484-1848\").click(function() {\n var that = 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|---|---|---|---|---|---|---|---|---|---|---|
58B | 58 | B | en | B. Coins | <div class="problem-statement"><div class="header"><div class="title">B. Coins</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="fcfddb6773f44f402d0bb8670823f4d3"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms"] | ["greedy", "*1300"] | https://codeforces.com/blog/entry/1771 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="37b1edf29e42b9090754c866e4781651"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
58C | 58 | C | en | C. Trees | <div class="problem-statement"><div class="header"><div class="title">C. Trees</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="646f66598563113b127f296b995dfe58"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force"] | ["brute force", "*1800"] | https://codeforces.com/blog/entry/1771 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="37b1edf29e42b9090754c866e4781651"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
58D | 58 | D | en | D. Calendar | <div class="problem-statement"><div class="header"><div class="title">D. Calendar</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="prope... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="740eed375527cd875dfcc8f13e53abba"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["greedy", "strings", "*2000"] | https://codeforces.com/blog/entry/1771 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="37b1edf29e42b9090754c866e4781651"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
58E | 58 | E | en | E. Expression | <div class="problem-statement"><div class="header"><div class="title">E. Expression</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pro... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="2c698e94210d8ceae2cfd611dffe34de"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming"] | ["dp", "*2400"] | https://codeforces.com/blog/entry/1771 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="37b1edf29e42b9090754c866e4781651"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
59A | 59 | A | en | A. Word | <div class="problem-statement"><div class="header"><div class="title">A. Word</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d4259130700dfc8126c9c89b1685daf7"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["implementation", "strings", "*800"] | ||
59B | 59 | B | en | B. Fortune Telling | <div class="problem-statement"><div class="header"><div class="title">B. Fortune Telling</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="337f2a3b58b58a8a3e3cb04ded4b3527"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Number theory: Euler function, GCD, divisibility, etc"] | ["implementation", "number theory", "*1200"] | ||
59C | 59 | C | en | C. Title | <div class="problem-statement"><div class="header"><div class="title">C. Title</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d8d1775570746b16976759db203c333e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Parsing expression grammar"] | ["expression parsing", "*1600"] | ||
59D | 59 | D | en | D. Team Arrangement | <div class="problem-statement"><div class="header"><div class="title">D. Team Arrangement</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div clas... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1f55752224af68a0ab866fbf40d2ed24"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Constructive algorithms", "Greedy algorithms", "Implementation problems, programming technics, simulation"] | ["constructive algorithms", "greedy", "implementation", "*2000"] | ||
59E | 59 | E | en | E. Shortest Path | <div class="problem-statement"><div class="header"><div class="title">E. Shortest Path</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="3aea11c943b100c667faa88e79ecb906"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Graphs", "Shortest paths on weighted and unweighted graphs"] | ["graphs", "shortest paths", "*2000"] | ||
60A | 60 | A | en | A. Where Are My Flakes? | <div class="problem-statement"><div class="header"><div class="title">A. Where Are My Flakes?</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div ... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a2e540d5cb4f14d3ea0115bd1e5d415a"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Two pointers"] | ["implementation", "two pointers", "*1300"] | https://codeforces.com/blog/entry/1317 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="09a1a3ac6ca15f7a969d28f939fd7141"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
60B | 60 | B | en | B. Serial Time! | <div class="problem-statement"><div class="header"><div class="title">B. Serial Time!</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="p... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="14850c7f3a29ced3199af4743e0f4edb"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dfs and similar", "Disjoint set union"] | ["dfs and similar", "dsu", "*1400"] | https://codeforces.com/blog/entry/1317 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="09a1a3ac6ca15f7a969d28f939fd7141"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
60C | 60 | C | en | C. Mushroom Strife | <div class="problem-statement"><div class="header"><div class="title">C. Mushroom Strife</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cb217cdc357ebde71f02575a97314f91"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Dfs and similar"] | ["brute force", "dfs and similar", "*2100"] | https://codeforces.com/blog/entry/1317 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="09a1a3ac6ca15f7a969d28f939fd7141"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
60D | 60 | D | en | D. Savior | <div class="problem-statement"><div class="header"><div class="title">D. Savior</div><div class="time-limit"><div class="property-title">time limit per test</div>4 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="propert... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="91188b49270cd4077f4e6b4ef34d58e7"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Disjoint set union", "Mathematics including integration, differential equations, etc"] | ["brute force", "dsu", "math", "*2500"] | https://codeforces.com/blog/entry/1317 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="09a1a3ac6ca15f7a969d28f939fd7141"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
60E | 60 | E | en | E. Mushroom Gnomes | <div class="problem-statement"><div class="header"><div class="title">E. Mushroom Gnomes</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="83091d457c893110752b5440da44b0d8"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Mathematics including integration, differential equations, etc", "Matrix multiplication, determinant, Cramer's rule, systems of linear equations"] | ["math", "matrices", "*2600"] | https://codeforces.com/blog/entry/1317 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="09a1a3ac6ca15f7a969d28f939fd7141"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
61A | 61 | A | en | A. Ultra-Fast Mathematician | <div class="problem-statement"><div class="header"><div class="title">A. Ultra-Fast Mathematician</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="eb607cdc304d7e3601979c370327bd0a"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation"] | ["implementation", "*800"] | ||
61B | 61 | B | en | B. Hard Work | <div class="problem-statement"><div class="header"><div class="title">B. Hard Work</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="prop... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="2992d2b098a0dfffe45fcb997bc204e7"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["strings", "*1300"] | ||
61C | 61 | C | en | C. Capture Valerian | <div class="problem-statement"><div class="header"><div class="title">C. Capture Valerian</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div clas... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d821ddd2f647fdbefc7ecacf28701dd3"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Mathematics including integration, differential equations, etc"] | ["math", "*2000"] | ||
61D | 61 | D | en | D. Eternal Victory | <div class="problem-statement"><div class="header"><div class="title">D. Eternal Victory</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="2c1db63c58bf2bdaa406ecfeaa47669a"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dfs and similar", "Graphs", "Greedy algorithms", "Shortest paths on weighted and unweighted graphs", "Trees"] | ["dfs and similar", "graphs", "greedy", "shortest paths", "trees", "*1800"] | ||
61E | 61 | E | en | E. Enemy is weak | <div class="problem-statement"><div class="header"><div class="title">E. Enemy is weak</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d3f9757fc5dd0f758a77c2c7f2a9a2a7"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Trees"] | ["data structures", "trees", "*1900"] | ||
62A | 62 | A | en | A. A Student's Dream | <div class="problem-statement"><div class="header"><div class="title">A. A Student's Dream</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cla... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="ef139fce8fef9e51208715db169a85bb"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms", "Mathematics including integration, differential equations, etc"] | ["greedy", "math", "*1300"] | https://codeforces.com/blog/entry/1363 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1b78287941a565ca070574f739ab5ff3"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
62B | 62 | B | en | B. Tyndex.Brome | <div class="problem-statement"><div class="header"><div class="title">B. Tyndex.Brome</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="p... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="29072d913294d931b0e80bb8b278f931"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Implementation problems, programming technics, simulation"] | ["binary search", "implementation", "*1800"] | https://codeforces.com/blog/entry/1363 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1b78287941a565ca070574f739ab5ff3"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
62C | 62 | C | en | C. Inquisition | <div class="problem-statement"><div class="header"><div class="title">C. Inquisition</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pr... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="7c9bba32e7cfd3de2dd12310555db09e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Geometry, computational geometry", "Implementation problems, programming technics, simulation", "Sortings, orderings"] | ["geometry", "implementation", "sortings", "*2300"] | https://codeforces.com/blog/entry/1363 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1b78287941a565ca070574f739ab5ff3"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
62D | 62 | D | en | D. Wormhouse | <div class="problem-statement"><div class="header"><div class="title">D. Wormhouse</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="prop... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="46fd4ab85f8b6d809f46f8945ee630e9"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dfs and similar", "Graphs"] | ["dfs and similar", "graphs", "*2300"] | https://codeforces.com/blog/entry/1363 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1b78287941a565ca070574f739ab5ff3"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
62E | 62 | E | en | E. World Evil | <div class="problem-statement"><div class="header"><div class="title">E. World Evil</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pro... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="9498695e1127fbdfdb0bc25133c6f229"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Graph network flows"] | ["dp", "flows", "*2700"] | https://codeforces.com/blog/entry/1363 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1b78287941a565ca070574f739ab5ff3"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
63A | 63 | A | en | A. Sinking Ship | <div class="problem-statement"><div class="header"><div class="title">A. Sinking Ship</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="p... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="0c5b1a9d5f5206a14bc09332b6fae1e1"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Sortings, orderings", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["implementation", "sortings", "strings", "*900"] | https://codeforces.com/blog/entry/1391 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b1a8dadbf8338683a823022fb242ed20"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
63B | 63 | B | en | B. Settlers' Training | <div class="problem-statement"><div class="header"><div class="title">B. Settlers' Training</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cl... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="5f5491514a3dd96c9f10fbee7d7bdb89"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation"] | ["implementation", "*1200"] | https://codeforces.com/blog/entry/1391 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b1a8dadbf8338683a823022fb242ed20"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
63C | 63 | C | en | C. Bulls and Cows | <div class="problem-statement"><div class="header"><div class="title">C. Bulls and Cows</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="81a0061162583fcd93b96da80aae5062"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Implementation problems, programming technics, simulation"] | ["brute force", "implementation", "*1700"] | https://codeforces.com/blog/entry/1391 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b1a8dadbf8338683a823022fb242ed20"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
63D | 63 | D | en | D. Dividing Island | <div class="problem-statement"><div class="header"><div class="title">D. Dividing Island</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="8e91d7aa3e8415e90424b60186d89548"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Constructive algorithms"] | ["constructive algorithms", "*1900"] | https://codeforces.com/blog/entry/1391 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b1a8dadbf8338683a823022fb242ed20"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
63E | 63 | E | en | E. Sweets Game | <div class="problem-statement"><div class="header"><div class="title">E. Sweets Game</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pr... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="35c40920ff5ec40168fc27527930e2a2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Bitmasks", "Dfs and similar", "Dynamic programming", "Games, Sprague\u2013Grundy theorem", "Implementation problems, programming technics, simulation"] | ["bitmasks", "dfs and similar", "dp", "games", "implementation", "*2000"] | https://codeforces.com/blog/entry/1391 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b1a8dadbf8338683a823022fb242ed20"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
65A | 65 | A | en | A. Harry Potter and Three Spells | <div class="problem-statement"><div class="header"><div class="title">A. Harry Potter and Three Spells</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-fi... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="eb992e1123240403293f7e67e0856b63"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Mathematics including integration, differential equations, etc"] | ["implementation", "math", "*1800"] | https://codeforces.com/blog/entry/1431 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="98642befe8ae299a43085cc929d2cbc9"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
65B | 65 | B | en | B. Harry Potter and the History of Magic | <div class="problem-statement"><div class="header"><div class="title">B. Harry Potter and the History of Magic</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="i... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="075399f541228178fec927286621fbef"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Greedy algorithms", "Implementation problems, programming technics, simulation"] | ["brute force", "greedy", "implementation", "*1700"] | https://codeforces.com/blog/entry/1431 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="98642befe8ae299a43085cc929d2cbc9"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
65C | 65 | C | en | C. Harry Potter and the Golden Snitch | <div class="problem-statement"><div class="header"><div class="title">C. Harry Potter and the Golden Snitch</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="inp... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="5ad0e4b88431d746f47d690ed2169cf7"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Geometry, computational geometry"] | ["binary search", "geometry", "*2100"] | https://codeforces.com/blog/entry/1431 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="98642befe8ae299a43085cc929d2cbc9"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
65D | 65 | D | en | D. Harry Potter and the Sorting Hat | <div class="problem-statement"><div class="header"><div class="title">D. Harry Potter and the Sorting Hat</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="dd1cbab8e28cfda8b4729f1f310d9cae"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Dfs and similar", "Hashing, hashtables"] | ["brute force", "dfs and similar", "hashing", "*2200"] | https://codeforces.com/blog/entry/1431 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="98642befe8ae299a43085cc929d2cbc9"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
65E | 65 | E | en | E. Harry Potter and Moving Staircases | <div class="problem-statement"><div class="header"><div class="title">E. Harry Potter and Moving Staircases</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="inp... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b4ca4431091e08401584dc418577666a"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dfs and similar", "Implementation problems, programming technics, simulation"] | ["dfs and similar", "implementation", "*2900"] | https://codeforces.com/blog/entry/1431 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="98642befe8ae299a43085cc929d2cbc9"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
66A | 66 | A | en | A. Petya and Java | <div class="problem-statement"><div class="header"><div class="title">A. Petya and Java</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="799f32f40b14053b26940ad7abe3034d"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["implementation", "strings", "*1300"] | https://codeforces.com/blog/entry/1452 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="ac1ed7efe74bbc025e5d30cad3e0a50e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
66B | 66 | B | en | B. Petya and Countryside | <div class="problem-statement"><div class="header"><div class="title">B. Petya and Countryside</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="153a6b6cc23823c904510c80364ff884"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Implementation problems, programming technics, simulation"] | ["brute force", "implementation", "*1100"] | https://codeforces.com/blog/entry/1452 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="ac1ed7efe74bbc025e5d30cad3e0a50e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
66C | 66 | C | en | C. Petya and File System | <div class="problem-statement"><div class="header"><div class="title">C. Petya and File System</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="9c9dc853c3f1e9bd4ac1f07454e6276f"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Implementation problems, programming technics, simulation"] | ["data structures", "implementation", "*1800"] | https://codeforces.com/blog/entry/1452 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="ac1ed7efe74bbc025e5d30cad3e0a50e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
66D | 66 | D | en | D. Petya and His Friends | <div class="problem-statement"><div class="header"><div class="title">D. Petya and His Friends</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d22c006f8ec77a83cfec69c59257a534"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Constructive algorithms", "Mathematics including integration, differential equations, etc", "Number theory: Euler function, GCD, divisibility, etc"] | ["constructive algorithms", "math", "number theory", "*1700"] | https://codeforces.com/blog/entry/1452 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="ac1ed7efe74bbc025e5d30cad3e0a50e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
66E | 66 | E | en | E. Petya and Post | <div class="problem-statement"><div class="header"><div class="title">E. Petya and Post</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="9fdab793f64fc85adb154593ebfce7ed"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Dynamic programming"] | ["data structures", "dp", "*2000"] | https://codeforces.com/blog/entry/1452 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="ac1ed7efe74bbc025e5d30cad3e0a50e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
67A | 67 | A | en | A. Partial Teacher | <div class="problem-statement"><div class="header"><div class="title">A. Partial Teacher</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="beb4a073a6688efa711fcd01f3e17c5e"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Graphs", "Greedy algorithms", "Implementation problems, programming technics, simulation"] | ["dp", "graphs", "greedy", "implementation", "*1800"] | ||
67B | 67 | B | en | B. Restoration of the Permutation | <div class="problem-statement"><div class="header"><div class="title">B. Restoration of the Permutation</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-fi... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="67cd979b4afd4f2c3003e21bec57c0c4"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms"] | ["greedy", "*1800"] | ||
67C | 67 | C | en | C. Sequence of Balls | <div class="problem-statement"><div class="header"><div class="title">C. Sequence of Balls</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div clas... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="c84143b0df56ac0ca6cd500175836728"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming"] | ["dp", "*2600"] | ||
67D | 67 | D | en | D. Optical Experiment | <div class="problem-statement"><div class="header"><div class="title">D. Optical Experiment</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cl... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="2ca4fe54cc2bb1c8b9ec9a42bf35823d"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Heaps, binary search trees, segment trees, hash tables, etc", "Dynamic programming"] | ["binary search", "data structures", "dp", "*1900"] | ||
67E | 67 | E | en | E. Save the City! | <div class="problem-statement"><div class="header"><div class="title">E. Save the City!</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="79060e6d5eb85aaed182d381455d513c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Geometry, computational geometry"] | ["geometry", "*2500"] | ||
68A | 68 | A | en | A. Irrational problem | <div class="problem-statement"><div class="header"><div class="title">A. Irrational problem</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cl... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="3f77ca462a6f1a4078d5b35aa2aa59cb"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Number theory: Euler function, GCD, divisibility, etc"] | ["implementation", "number theory", "*1100"] | ||
68B | 68 | B | en | B. Energy exchange | <div class="problem-statement"><div class="header"><div class="title">B. Energy exchange</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="3b8e6802f39d96b33f8c264bdaa913e9"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search"] | ["binary search", "*1600"] | ||
68C | 68 | C | en | C. Synchrophasotron | <div class="problem-statement"><div class="header"><div class="title">C. Synchrophasotron</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div clas... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="6e76cb4a3103041f5fe4d78a0dc882d0"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force"] | ["brute force", "*2200"] | ||
68D | 68 | D | en | D. Half-decay tree | <div class="problem-statement"><div class="header"><div class="title">D. Half-decay tree</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="3d19ac04ef86d6a29df703b11198c117"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Divide and Conquer", "Dynamic programming", "Mathematics including integration, differential equations, etc", "Probabilities, expected values, statistics, random variables, etc"] | ["data structures", "divide and conquer", "dp", "math", "probabilities", "*2500"] | ||
68E | 68 | E | en | E. Contact | <div class="problem-statement"><div class="header"><div class="title">E. Contact</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="proper... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d8add8ef5c6cc178cda324b31b8f4191"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Geometry, computational geometry"] | ["geometry", "*2900"] | ||
69A | 69 | A | en | A. Young Physicist | <div class="problem-statement"><div class="header"><div class="title">A. Young Physicist</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="abe68d1d6281e54b57f9663d1e663641"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Mathematics including integration, differential equations, etc"] | ["implementation", "math", "*1000"] | https://codeforces.com/blog/entry/1571 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="906223080af24eaa97b78cca0b87adda"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
69B | 69 | B | en | B. Bets | <div class="problem-statement"><div class="header"><div class="title">B. Bets</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="39fe9a17ce4bd0d197dc66bcf199b61b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms", "Implementation problems, programming technics, simulation"] | ["greedy", "implementation", "*1200"] | https://codeforces.com/blog/entry/1571 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="906223080af24eaa97b78cca0b87adda"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
69C | 69 | C | en | C. Game | <div class="problem-statement"><div class="header"><div class="title">C. Game</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="775c3c2a02f2a409cf9cf66e52189dfb"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation"] | ["implementation", "*2000"] | https://codeforces.com/blog/entry/1571 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="906223080af24eaa97b78cca0b87adda"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
69D | 69 | D | en | D. Dot | <div class="problem-statement"><div class="header"><div class="title">D. Dot</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-t... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cb86dd194d939b2c54b2ef9c148797ec"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Games, Sprague\u2013Grundy theorem"] | ["dp", "games", "*1900"] | https://codeforces.com/blog/entry/1571 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="906223080af24eaa97b78cca0b87adda"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
69E | 69 | E | en | E. Subsegments | <div class="problem-statement"><div class="header"><div class="title">E. Subsegments</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pro... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1894447b3b2bed05065291207495b339"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Implementation problems, programming technics, simulation"] | ["data structures", "implementation", "*1800"] | https://codeforces.com/blog/entry/1571 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="906223080af24eaa97b78cca0b87adda"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
70A | 70 | A | en | A. Cookies | <div class="problem-statement"><div class="header"><div class="title">A. Cookies</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="propert... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="210d4726ea1ac622d471d919da151e6d"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Mathematics including integration, differential equations, etc"] | ["math", "*1300"] | https://codeforces.com/blog/entry/1598 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="10a25cd216f65fe8779f7dafbccc1115"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
70B | 70 | B | en | B. Text Messaging | <div class="problem-statement"><div class="header"><div class="title">B. Text Messaging</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="ba79ea5cd0a577674cc6681bbdd46106"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Parsing expression grammar", "Greedy algorithms", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["expression parsing", "greedy", "strings", "*1600"] | https://codeforces.com/blog/entry/1598 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="10a25cd216f65fe8779f7dafbccc1115"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
70C | 70 | C | en | C. Lucky Tickets | <div class="problem-statement"><div class="header"><div class="title">C. Lucky Tickets</div><div class="time-limit"><div class="property-title">time limit per test</div>1.5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="6f9f409894dd772c6c2203bf41f43122"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Heaps, binary search trees, segment trees, hash tables, etc", "Sortings, orderings", "Two pointers"] | ["binary search", "data structures", "sortings", "two pointers", "*2200"] | https://codeforces.com/blog/entry/1598 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="10a25cd216f65fe8779f7dafbccc1115"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
70D | 70 | D | en | D. Professor's task | <div class="problem-statement"><div class="header"><div class="title">D. Professor's task</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="12e81ae7cb37227c7ff410fd41620546"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Geometry, computational geometry"] | ["data structures", "geometry", "*2700"] | https://codeforces.com/blog/entry/1598 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="10a25cd216f65fe8779f7dafbccc1115"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
70E | 70 | E | en | E. Information Reform | <div class="problem-statement"><div class="header"><div class="title">E. Information Reform</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cl... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="9b5654ac3858978c63433db6bdc1ff0b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Implementation problems, programming technics, simulation", "Trees"] | ["dp", "implementation", "trees", "*2700"] | https://codeforces.com/blog/entry/1598 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="10a25cd216f65fe8779f7dafbccc1115"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
71A | 71 | A | en | A. Way Too Long Words | <div class="problem-statement"><div class="header"><div class="title">A. Way Too Long Words</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cla... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="eed9ccf741c394ac1af93e411ebcf7e2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["strings", "*800"] | https://codeforces.com/blog/entry/1624 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b18e5e0743c9731257e945e7f3a0bfcc"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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71B | 71 | B | en | B. Progress Bar | <div class="problem-statement"><div class="header"><div class="title">B. Progress Bar</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pr... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="218636ebf2ca2478e6c0f9cbb26334a1"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Mathematics including integration, differential equations, etc"] | ["implementation", "math", "*1300"] | https://codeforces.com/blog/entry/1624 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b18e5e0743c9731257e945e7f3a0bfcc"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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71C | 71 | C | en | C. Round Table Knights | <div class="problem-statement"><div class="header"><div class="title">C. Round Table Knights</div><div class="time-limit"><div class="property-title">time limit per test</div>0.5 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div ... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="9f4cf3890b3d563ccd392b38aea4f93c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Mathematics including integration, differential equations, etc", "Number theory: Euler function, GCD, divisibility, etc"] | ["dp", "math", "number theory", "*1600"] | https://codeforces.com/blog/entry/1624 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b18e5e0743c9731257e945e7f3a0bfcc"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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71D | 71 | D | en | D. Solitaire | <div class="problem-statement"><div class="header"><div class="title">D. Solitaire</div><div class="time-limit"><div class="property-title">time limit per test</div>1.5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pr... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="98fe5ba5e9556f0385d9bd6c961b2302"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Implementation problems, programming technics, simulation"] | ["brute force", "implementation", "*2200"] | https://codeforces.com/blog/entry/1624 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b18e5e0743c9731257e945e7f3a0bfcc"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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71E | 71 | E | en | E. Nuclear Fusion | <div class="problem-statement"><div class="header"><div class="title">E. Nuclear Fusion</div><div class="time-limit"><div class="property-title">time limit per test</div>1.5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div clas... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a6bea6e3a542eaf260d28589e8765fbc"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Bitmasks", "Dynamic programming"] | ["bitmasks", "dp", "*2200"] | https://codeforces.com/blog/entry/1624 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b18e5e0743c9731257e945e7f3a0bfcc"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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73A | 73 | A | en | A. The Elder Trolls IV: Oblivon | <div class="problem-statement"><div class="header"><div class="title">A. The Elder Trolls IV: Oblivon</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-fil... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="c0593086f42325d98c6ec1ba345fab86"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms", "Mathematics including integration, differential equations, etc"] | ["greedy", "math", "*1600"] | https://codeforces.com/blog/entry/1700 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cfc67b8f552397d8e803b0d5178e1177"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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73B | 73 | B | en | B. Need For Brake | <div class="problem-statement"><div class="header"><div class="title">B. Need For Brake</div><div class="time-limit"><div class="property-title">time limit per test</div>4 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d5893aca716efb11803a061ada42425c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Greedy algorithms", "Sortings, orderings"] | ["binary search", "greedy", "sortings", "*2000"] | https://codeforces.com/blog/entry/1700 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cfc67b8f552397d8e803b0d5178e1177"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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73C | 73 | C | en | C. LionAge II | <div class="problem-statement"><div class="header"><div class="title">C. LionAge II</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pro... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a870e42b171ac811de3e6ece52009b97"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming"] | ["dp", "*1800"] | https://codeforces.com/blog/entry/1700 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cfc67b8f552397d8e803b0d5178e1177"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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73D | 73 | D | en | D. FreeDiv | <div class="problem-statement"><div class="header"><div class="title">D. FreeDiv</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="proper... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="853356413f490977d821e79606372e70"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dfs and similar", "Graphs", "Greedy algorithms"] | ["dfs and similar", "graphs", "greedy", "*2200"] | https://codeforces.com/blog/entry/1700 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cfc67b8f552397d8e803b0d5178e1177"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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73E | 73 | E | en | E. Morrowindows | <div class="problem-statement"><div class="header"><div class="title">E. Morrowindows</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="p... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="0ac0c32a1e5c9f55557eeba621654e72"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Mathematics including integration, differential equations, etc", "Number theory: Euler function, GCD, divisibility, etc"] | ["math", "number theory", "*2400"] | https://codeforces.com/blog/entry/1700 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cfc67b8f552397d8e803b0d5178e1177"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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73F | 73 | F | en | F. Plane of Tanks | <div class="problem-statement"><div class="header"><div class="title">F. Plane of Tanks</div><div class="time-limit"><div class="property-title">time limit per test</div>4 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="54f22e2f4ff399a5061b40cc97bba6a2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Geometry, computational geometry"] | ["brute force", "geometry", "*2900"] | https://codeforces.com/blog/entry/1700 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="cfc67b8f552397d8e803b0d5178e1177"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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74A | 74 | A | en | A. Room Leader | <div class="problem-statement"><div class="header"><div class="title">A. Room Leader</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pr... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="25065387a8f20d19c1589f0e1ad42bf4"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation"] | ["implementation", "*1000"] | https://codeforces.com/blog/entry/1735 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="551f41b3feb602cc1f82f6f8ff9e24d1"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
74B | 74 | B | en | B. Train | <div class="problem-statement"><div class="header"><div class="title">B. Train</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1a61f245f87af56a645b7f97bed47c98"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Games, Sprague\u2013Grundy theorem", "Greedy algorithms"] | ["dp", "games", "greedy", "*1500"] | https://codeforces.com/blog/entry/1735 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="551f41b3feb602cc1f82f6f8ff9e24d1"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
74C | 74 | C | en | C. Chessboard Billiard | <div class="problem-statement"><div class="header"><div class="title">C. Chessboard Billiard</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div c... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="e2ed411ac26b35ef5aa68613b974dcb0"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dfs and similar", "Disjoint set union", "Graphs", "Number theory: Euler function, GCD, divisibility, etc"] | ["dfs and similar", "dsu", "graphs", "number theory", "*2100"] | https://codeforces.com/blog/entry/1735 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="551f41b3feb602cc1f82f6f8ff9e24d1"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
74D | 74 | D | en | D. Hanger | <div class="problem-statement"><div class="header"><div class="title">D. Hanger</div><div class="time-limit"><div class="property-title">time limit per test</div>4 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="propert... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b8285595321b122c4bab075e179b09bd"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc"] | ["data structures", "*2400"] | https://codeforces.com/blog/entry/1735 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="551f41b3feb602cc1f82f6f8ff9e24d1"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
74E | 74 | E | en | E. Shift It! | <div class="problem-statement"><div class="header"><div class="title">E. Shift It!</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="prop... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="5a30a612f763d76352b297e880b7a7de"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Constructive algorithms"] | ["constructive algorithms", "*2800"] | https://codeforces.com/blog/entry/1735 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="551f41b3feb602cc1f82f6f8ff9e24d1"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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75A | 75 | A | en | A. Life Without Zeros | <div class="problem-statement"><div class="header"><div class="title">A. Life Without Zeros</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cl... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="211d153d2ce19a27a7ba86a104d2de1a"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation"] | ["implementation", "*1000"] | https://codeforces.com/blog/entry/1715 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1321d1a35aa6147cbfdbbcf6e0b61c0b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
75B | 75 | B | en | B. Facetook Priority Wall | <div class="problem-statement"><div class="header"><div class="title">B. Facetook Priority Wall</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><di... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="7d85ac12ca4530194370f31acefc352b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Parsing expression grammar", "Implementation problems, programming technics, simulation", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["expression parsing", "implementation", "strings", "*1500"] | https://codeforces.com/blog/entry/1715 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1321d1a35aa6147cbfdbbcf6e0b61c0b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
75C | 75 | C | en | C. Modified GCD | <div class="problem-statement"><div class="header"><div class="title">C. Modified GCD</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="p... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="4954134490b4e595df3d3483cd627a75"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Number theory: Euler function, GCD, divisibility, etc"] | ["binary search", "number theory", "*1600"] | https://codeforces.com/blog/entry/1715 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1321d1a35aa6147cbfdbbcf6e0b61c0b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
75D | 75 | D | en | D. Big Maximum Sum | <div class="problem-statement"><div class="header"><div class="title">D. Big Maximum Sum</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="18c5ec36b63a1dd557b08082cb041522"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Dynamic programming", "Greedy algorithms", "Implementation problems, programming technics, simulation", "Mathematics including integration, differential equations, etc", "Trees"] | ["data structures", "dp", "greedy", "implementation", "math", "trees", "*2000"] | https://codeforces.com/blog/entry/1715 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1321d1a35aa6147cbfdbbcf6e0b61c0b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
75E | 75 | E | en | E. Ship's Shortest Path | <div class="problem-statement"><div class="header"><div class="title">E. Ship's Shortest Path</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div ... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="e41c0708538a0782638f3449cabcdf14"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Geometry, computational geometry", "Shortest paths on weighted and unweighted graphs"] | ["geometry", "shortest paths", "*2400"] | https://codeforces.com/blog/entry/1715 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="1321d1a35aa6147cbfdbbcf6e0b61c0b"/>
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76A | 76 | A | en | A. Gift | <div class="problem-statement"><div class="header"><div class="title">A. Gift</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property-... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d609848c6ecf2046dcbb65ddd970a9e2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Disjoint set union", "Graphs", "Sortings, orderings", "Trees"] | ["dsu", "graphs", "sortings", "trees", "*2200"] | https://codeforces.com/blog/entry/1712 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="558ab1a7f09bc5c6200b881abd515673"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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76B | 76 | B | en | B. Mice | <div class="problem-statement"><div class="header"><div class="title">B. Mice</div><div class="time-limit"><div class="property-title">time limit per test</div>0.5 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="7217a2b72bc7ee1bd0e497b1468d47d8"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms", "Two pointers"] | ["greedy", "two pointers", "*2100"] | https://codeforces.com/blog/entry/1712 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="558ab1a7f09bc5c6200b881abd515673"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
76C | 76 | C | en | C. Mutation | <div class="problem-statement"><div class="header"><div class="title">C. Mutation</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="proper... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="3f36343774e184b41fa017fcda6a26ed"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Bitmasks", "Dynamic programming", "Mathematics including integration, differential equations, etc"] | ["bitmasks", "dp", "math", "*2700"] | https://codeforces.com/blog/entry/1712 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="558ab1a7f09bc5c6200b881abd515673"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
76D | 76 | D | en | D. Plus and xor | <div class="problem-statement"><div class="header"><div class="title">D. Plus and xor</div><div class="time-limit"><div class="property-title">time limit per test</div>0.5 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="2348e24a9764cf74d5e1720374a19f07"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Greedy algorithms", "Mathematics including integration, differential equations, etc"] | ["dp", "greedy", "math", "*1700"] | https://codeforces.com/blog/entry/1712 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="558ab1a7f09bc5c6200b881abd515673"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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76E | 76 | E | en | E. Points | <div class="problem-statement"><div class="header"><div class="title">E. Points</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b63692cbee84c36a9da4b7091db998e5"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Mathematics including integration, differential equations, etc"] | ["implementation", "math", "*1700"] | https://codeforces.com/blog/entry/1712 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="558ab1a7f09bc5c6200b881abd515673"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
76F | 76 | F | en | F. Tourist | <div class="problem-statement"><div class="header"><div class="title">F. Tourist</div><div class="time-limit"><div class="property-title">time limit per test</div>0.5 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="prope... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="60288a8f2d8fdb212ba169d719e4f73b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Heaps, binary search trees, segment trees, hash tables, etc", "Dynamic programming"] | ["binary search", "data structures", "dp", "*2300"] | https://codeforces.com/blog/entry/1712 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="558ab1a7f09bc5c6200b881abd515673"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
77A | 77 | A | en | A. Heroes | <div class="problem-statement"><div class="header"><div class="title">A. Heroes</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="propert... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b83bb7479fc27ac8728685077344b606"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Brute force", "Implementation problems, programming technics, simulation"] | ["brute force", "implementation", "*1400"] | https://codeforces.com/blog/entry/1769 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="0248ba77a5d012cbac764933a1ba82b2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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77B | 77 | B | en | B. Falling Anvils | <div class="problem-statement"><div class="header"><div class="title">B. Falling Anvils</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="104fbf35f92e5cd413a6dfc389fd621c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Mathematics including integration, differential equations, etc", "Probabilities, expected values, statistics, random variables, etc"] | ["math", "probabilities", "*1800"] | https://codeforces.com/blog/entry/1769 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="0248ba77a5d012cbac764933a1ba82b2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
77C | 77 | C | en | C. Beavermuncher-0xFF | <div class="problem-statement"><div class="header"><div class="title">C. Beavermuncher-0xFF</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div cl... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="4230195d3a3e87bccbf4f1524cd13b98"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dfs and similar", "Dynamic programming", "Disjoint set union", "Greedy algorithms", "Trees"] | ["dfs and similar", "dp", "dsu", "greedy", "trees", "*2100"] | https://codeforces.com/blog/entry/1769 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="0248ba77a5d012cbac764933a1ba82b2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
77D | 77 | D | en | D. Domino Carpet | <div class="problem-statement"><div class="header"><div class="title">D. Domino Carpet</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="600378f95c85c313c79b5e1194c0f99d"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Implementation problems, programming technics, simulation"] | ["dp", "implementation", "*2300"] | https://codeforces.com/blog/entry/1769 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="0248ba77a5d012cbac764933a1ba82b2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
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77E | 77 | E | en | E. Martian Food | <div class="problem-statement"><div class="header"><div class="title">E. Martian Food</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pr... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d4b4912bd153f4e2de63a5b2ab9e1c39"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Geometry, computational geometry"] | ["geometry", "*2800"] | https://codeforces.com/blog/entry/1769 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="0248ba77a5d012cbac764933a1ba82b2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
78A | 78 | A | en | A. Haiku | <div class="problem-statement"><div class="header"><div class="title">A. Haiku</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="property... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="b06b685ffe3961f59d99e68ea6245825"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc"] | ["implementation", "strings", "*800"] | https://codeforces.com/blog/entry/1812 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="14353d250fe67a6eef665b9b42ca246c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
78B | 78 | B | en | B. Easter Eggs | <div class="problem-statement"><div class="header"><div class="title">B. Easter Eggs</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pr... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="fd85e25830ce2a049f7e1ee87371f6fd"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Constructive algorithms", "Implementation problems, programming technics, simulation"] | ["constructive algorithms", "implementation", "*1200"] | https://codeforces.com/blog/entry/1812 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="14353d250fe67a6eef665b9b42ca246c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
78C | 78 | C | en | C. Beaver Game | <div class="problem-statement"><div class="header"><div class="title">C. Beaver Game</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="pro... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a830f4d2dcfb99543bdd7f294443e2f0"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Dynamic programming", "Games, Sprague\u2013Grundy theorem", "Number theory: Euler function, GCD, divisibility, etc"] | ["dp", "games", "number theory", "*2000"] | https://codeforces.com/blog/entry/1812 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="14353d250fe67a6eef665b9b42ca246c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
78D | 78 | D | en | D. Archer's Shot | <div class="problem-statement"><div class="header"><div class="title">D. Archer's Shot</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="7048bd4f59173fa76d3a0796b41eb2ad"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Binary search", "Geometry, computational geometry", "Mathematics including integration, differential equations, etc", "Two pointers"] | ["binary search", "geometry", "math", "two pointers", "*2300"] | https://codeforces.com/blog/entry/1812 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="14353d250fe67a6eef665b9b42ca246c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
78E | 78 | E | en | E. Evacuation | <div class="problem-statement"><div class="header"><div class="title">E. Evacuation</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="prop... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="8242a74c49a24994380cbc6b8dc4e87c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Graph network flows", "Graphs", "Shortest paths on weighted and unweighted graphs"] | ["flows", "graphs", "shortest paths", "*2300"] | https://codeforces.com/blog/entry/1812 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="14353d250fe67a6eef665b9b42ca246c"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
79A | 79 | A | en | A. Bus Game | <div class="problem-statement"><div class="header"><div class="title">A. Bus Game</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="prope... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="d24c10e29b28e769fe569b84185855ef"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Greedy algorithms"] | ["greedy", "*1200"] | https://codeforces.com/blog/entry/1848 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a95a71adf4d2d06cd0ab65247c5886c2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
79B | 79 | B | en | B. Colorful Field | <div class="problem-statement"><div class="header"><div class="title">B. Colorful Field</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class=... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="f0088157c0c38245966c648c7bac348b"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Implementation problems, programming technics, simulation", "Sortings, orderings"] | ["implementation", "sortings", "*1400"] | https://codeforces.com/blog/entry/1848 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a95a71adf4d2d06cd0ab65247c5886c2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
79C | 79 | C | en | C. Beaver | <div class="problem-statement"><div class="header"><div class="title">C. Beaver</div><div class="time-limit"><div class="property-title">time limit per test</div>2 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="propert... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="acacb2306080b3237c6071eb2e378ac2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Heaps, binary search trees, segment trees, hash tables, etc", "Dynamic programming", "Greedy algorithms", "Hashing, hashtables", "Prefix- and Z-functions, suffix structures, Knuth\u2013Morris\u2013Pratt algorithm, etc", "Two pointers"] | ["data structures", "dp", "greedy", "hashing", "strings", "two pointers", "*1800"] | https://codeforces.com/blog/entry/1848 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a95a71adf4d2d06cd0ab65247c5886c2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
79D | 79 | D | en | D. Password | <div class="problem-statement"><div class="header"><div class="title">D. Password</div><div class="time-limit"><div class="property-title">time limit per test</div>1 second</div><div class="memory-limit"><div class="property-title">memory limit per test</div>256 megabytes</div><div class="input-file"><div class="proper... |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="fbc45896fb210531b01169b20e314113"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... | ["Bitmasks", "Dynamic programming", "Shortest paths on weighted and unweighted graphs"] | ["bitmasks", "dp", "shortest paths", "*2800"] | https://codeforces.com/blog/entry/1848 |
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN">
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<meta name="X-Csrf-Token" content="a95a71adf4d2d06cd0ab65247c5886c2"/>
<meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/>
... |
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