anlp-a1-transformers / C2 /tokenizer_src.json
skimo2022's picture
Upload C2/tokenizer_src.json with huggingface_hub
d042308 verified
Raw History Blame Contribute Delete
208 kB
{"type": "bpe", "max_pretoken_len": 32, "vocab": ["<pad>", "<bos>", "<eos>", "<unk>", "Ā", "ā", "Ă", "ă", "Ą", "ą", "Ć", "ć", "Ĉ", "ĉ", "Ċ", "ċ", "Č", "č", "Ď", "ď", "Đ", "đ", "Ē", "ē", "Ĕ", "ĕ", "Ė", "ė", "Ę", "ę", "Ě", "ě", "Ĝ", "ĝ", "Ğ", "ğ", "Ġ", "!", "\"", "#", "$", "%", "&", "'", "(", ")", "*", "+", ",", "-", ".", "/", "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", ":", ";", "<", "=", ">", "?", "@", "A", "B", "C", "D", "E", "F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T", "U", "V", "W", "X", "Y", "Z", "[", "\\", "]", "^", "_", "`", "a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z", "{", "|", "}", "~", "ġ", "Ģ", "ģ", "Ĥ", "ĥ", "Ħ", "ħ", "Ĩ", "ĩ", "Ī", "ī", "Ĭ", "ĭ", "Į", "į", "İ", "ı", "IJ", "ij", "Ĵ", "ĵ", "Ķ", "ķ", "ĸ", "Ĺ", "ĺ", "Ļ", "ļ", "Ľ", "ľ", "Ŀ", "ŀ", "Ł", "ł", "¡", "¢", "£", "¤", "¥", "¦", "§", "¨", "©", "ª", "«", "¬", "Ń", "®", "¯", "°", "±", "²", "³", "´", "µ", "¶", "·", "¸", "¹", "º", "»", "¼", "½", "¾", "¿", "À", "Á", "Â", "Ã", "Ä", "Å", "Æ", "Ç", "È", "É", "Ê", "Ë", "Ì", "Í", "Î", "Ï", "Ð", "Ñ", "Ò", "Ó", "Ô", "Õ", "Ö", "×", "Ø", "Ù", "Ú", "Û", "Ü", "Ý", "Þ", "ß", "à", "á", "â", "ã", "ä", "å", "æ", "ç", "è", "é", "ê", "ë", "ì", "í", "î", "ï", "ð", "ñ", "ò", "ó", "ô", "õ", "ö", "÷", "ø", "ù", "ú", "û", "ü", "ý", "þ", "ÿ", "00", "01", "11", "100", "0101", "0100", "0111", "10000", "1001", "0011", "011", "000100", "000101", "10011", "001", "010111", "0110000", "100100", "01011", "0000", "010011", "011001", "01010111", "10", "10010000", "010000", "1001111", "01000100", "01010011", "0010111", "01001", "000111", "01010101", "0001001001", "01011011", "1111", "0110111", "010100", "011111", "01100", "010", "0100000100", "00100", "0100000101", "1011", "0010000", "010111000101", "0010", "100111", "1001000100", "0100011001", "0010011", "0010010000", "000011", "01000101", "00110011", "0101000101", "00000101", "011000011", "10010111", "011000010000", "1000", "0001", "0101101001", "01011111", "01110000", "010000000101", "01001111", "0110101", "01000011", "00100100", "0100100", "0101111001", "1000011", "001011", "010110", "0101110101", "01000111", "100111111", "01011001", "001001", "01100001", "0110000100", "000100000101", "0110011", "0010100", "10110", "00110101", "0111000101", "0011010100", "1001111100", "0110", "0110000100111", "0001001", "00010010010000", "001001000110111", "0100111110", "011011", "0110000100100", "00011111", "011100", "011110", "001100100", "01100001001", "0100100100", "1001001", "01100100", "01011000", "01010100", "0001001001000100", "1001110000", "001101010010011", "0010100000100", "0010000000100", "0010000000111", "00010010011", "010101000100", "0100001001", "010010011", "00101110000", "01001110000", "00000100", "100111110", "0001110000", "00010110", "00101111001", "00100100001111", "01011101010111", "0111001", "0100010100", "01011100010110", "01100001111", "00110010011", "0111000", "01000000", "01000010", "011000010011101000100", "0000010110", "0001011", "01101110000", "0010111000111", "0100000111", "0110001", "0111111", "010111000100", "010001010111", "00101001001", "1000010110", "0101011001", "00100101011", "0010111000100", "0101011000010000", "10000110101", "00100100001", "011000010110", "0110010000", "0101101001010011", "00010100101110000", "0110000110001", "01001001", "01010111000100", "011000010010111", "00101111", "01011010", "01000010000", "000100100100", "00110111", "010000000100", "010001100101100001", "100111100", "0010100000111", "0010101", "00010111", "0110100", "00011100000111000", "01011110000", "0001001001011111", "011000", "1010011", "01010111000100000101", "0001001001011001", "100100100", "0101101001010101000100", "001011110110111", "011010", "100110101", "0010100000101", "0010100100101011011", "011000010010011", "010001010101", "001000100", "0110000100011", "00010010010001000101101001010011", "01001011", "1001010111", "011001011110", "0100100011", "10010011", "01100001001110100010010000110101", "001100100110111", "1001010011", "01011000010110", "011000010010000", "0100011000010000", "010010000", "010101", "01011101000100", "0101110000010110", "10011111101110000", "01100111110", "01000110010110000101011100010110", "01000001000100000101", "0101001101000100", "00110101001001100010100101110000", "01010100000100", "001101100", "01011101010000", "10010001001110000", "00101101001", "0100001110000", "001101010110111", "001001010110111", "0001001001010111", "0101000100", "011000010011", "000110101", "100001110000", "00001110000", "00011", "01100001001111", "0011001000111", "0100111100", "01010010", "00101100001", "01011100000100", "000111111", "100110001", "0110000111111", "100001", "001101000011", "0001001001000011", "01011100", "0100010110", "001101010011", "0100101100", "0100100010", "001110000", "0100101110000", "0100011001011001", "10010010000", "110101", "0101110001010111", "010101010111", "01000010010000", "101011", "0100011001011111", "10011111001110000", "010111100100", "1001000010", "000100011001011110", "1001110100", "0010010000101010011", "010101110000", "01011101010101", "101001", "01100100010", "0011000100", "0001010111", "0010111000101", "001100110110111", "0110000111001", "00111000011", "010001", "01010100000101", "10000100", "010010", "010100110101111001", "010110110101111001", "000010", "01110001011", "10010001000110100", "001010000010000000101", "01100010110", "0001001001000111", "0001001001000010", "01000100100", "010101010000", "001001000010000", "00001111", "0101011101000011", "0001010011", "011001010011", "00110011001", "100111101", "0101110101011000", "011001001", "101", "0100000100010110", "00010010100111110", "0001001001010011", "0111011", "001100110011", "0100000001011111", "0001110110011", "001000000010000000101", "0100001011", "0100011", "100111001", "0000100", "0001001001010001010111", "00100101001", "0100011001011110", "100100010", "0101001101000011", "0100000101000100", "0101011101000100", "010100000101", "001001000011", "011100010111", "0101110000", "100001011", "00110100001111", "100111000", "0101101101000100", "0100000001010011", "010110010100001110000", "00010010010111", "0001010010", "01011100000100000101", "0100000001011001", "1001000101", "0100000001010101", "010111010100", "1001001000010", "0010111100101010011", "01010001010111", "0001001001111", "10010001000110111", "01000001000100000100", "0010000000101", "00010011", "0110000110110", "0101110001010001", "0100110011", "0001000110011", "0110000110011", "010101000101", "0101101101011000", "100101010011", "0101011100010110", "00100111", "00100100010", "000100000100", "0101110001010011", "01000111111", "01000110010000", "0101101001011001", "001100110010000", "0101101101000011", "00110100", "010001001010011", "00000000", "0010111000101000011", "0101011101010100", "1001000011", "00010001100110110", "001101011000", "000111001", "01010111000100000100", "0110110101", "000110001", "10010101001110000", "010001011", "0101010000010110", "0110000110010", "1001011111", "01100001001000010010101001110000", "00100111001", "0101110100010110", "0101000101011111", "00010010010111110101010000010110", "00101001", "101101011000", "00100011001", "00100000001000000010100001110000", "0010111100111", "000001010011", "01000010010111", "01010011010111100101011000010110", "00001", "01000010110", "0010010000111100011", "01011110010111", "001011010011", "000010000", "010001010000", "000101010010011", "001001110110111", "0010010000100", "0101101001011111", "011001011111", "001100100010011", "0110000111000", "01100001001011", "000100010110", "01010100010110", "01100001001111100", "111111", "0010111100101001011", "001100110010101", "0101011101000010000", "010001001", "0101010101011000010110", "0110000100000", "00110101001111", "0101100100", "10011111000110101", "0010100100", "001110000110111", "0101101000010000", "000100100", "0010111000100000011", "01000110", "0101101101010011", "010001100100", "00101101011", "00000110101", "01100100101", "01010000", "0101110101000101", "01011100010111", "0101111001011001", "0101110101010110000", "01100001001011110010001000110100", "100110100", "000111100", "0010100000100000011", "01100001011", "01100111111", "000100101", "0100010001010101", "001011110010000", "0101111000010000", "0101101101011110000", "00101000001000000010101101110000", "00010010010100010101110001010010", "01000000000100000101", "010101110100001001", "000100100111", "0101111101010101", "1001011001", "00110111001", "001001000010111", "100011", "001101010010101", "00011100000111111", "0101101000010110", "001010010010111", "0100000000010110", "01100001000111", "0100011101000100", "01011011010111100101010100010110", "00010101001001100010100101110000", "0110000100010", "0101110101000100", "0100111101", "001010010110111", "0101101101011111", "001010010010011", "10000110001", "0101011101010010", "010110010111", "10011100001110000", "0011010100100001011", "01011001011", "01010001", "00110001001", "011001011001", "0100000101011001", "0101110101011110000", "010101110101000101", "0110000100111001001", "01100001000011", "010000100100", "01011110", "0110000111101", "110101010000", "0100011001010011", "0101111001011111", "00110101001", "00000100010110", "0100100100010", "001011100110111", "0101001101011000", "10011101000110101", "01101101011000", "0010001000111", "01011010010101010001001001", "01001011000100000101", "01110011", "0100000001010111", "0100100111110", "0100000101011111", "01100001001110100010001101110000", "0100011000010110", "01000111001", "0101011101010100000100", "0101110001000010", "0101001101000101", "0010000000111101011", "001011010010111", "0010010000111101011", "001001000110111000100", "01011001111100", "0001001001000101", "0101010011", "0110000110100", "010110010000", "101110000", "011001011", "00010010010001000101110100010110", "00010010010110010101110000010110", "0001011111", "00110011001111", "01011110010000", "01100001001001110010001001110000", "0010110100100", "011001000100", "001011010010011", "0101110001010100", "00010100", "1001111110011", "100100011", "00101001001010110110110000", "0100110100", "01010101010011", "10010001100111110", "0101110001010101", "0101011101010011", "0101110001010100000100", "001100110010011", "0001001001010100", "10011111100100100", "001001100110111", "0011010000", "001101100010011", "0101010001011111", "0101101101011001", "00010110100111110", "0101101101010101", "01000000010111", "01000000000100", "011000010010100000100", "0110010111", "010010010000", "010100110100001001", "01010101000100", "1001001111", "000100100101100001", "0001001001000001", "00010010011100", "0001011001", "10000111111", "10011100000110101", "01011101010010", "0101011011", "0010001000101", "001011110010111", "000101011001", "1001001010111", "0100011111", "001000000110111", "00011111000110101", "010100000100", "10011100000111001", "00000111", "0101110001000011", "0010010001001110000", "0001001001100100", "011000010010101", "0101011101000101", "011000000100", "01100111101", "0110000100111100", "0110000100101111011", "0001001001010000", "000100100101000100", "0101110001000100", "011100010110100111110", "011000010011100100", "010001010101000101", "001001110010000", "01010111000100000111", "00110001001111", "01000100011", "00000111111", "001000100010011", "00101100", "0101110001011111", "0100010100101110000", "0100100110100", "00000111001", "010110011111001110000", "0101110101000011", "001001000110111000101", "00111", "0101101001010111", "010101010101", "00100110001", "001011000010111", "00101111001111", "100100101", "0101101101000010", "0100100100011", "0011001100101011011", "0101001101011010", "001101100010111", "01011101011000", "0101011001011001", "0110000110101", "0101010100000000010110", "001011100010000000101", "100110011", "1001010000", "0100010100100100010", "1001011011", "00010010100100011", "0101000011", "001010010010000", "0100110110000", "011001111", "0101000101011001", "01010111010111100100", "00010", "000000100", "00010010010100010100", "0101110001011001", "0001001001010101", "000100100101001001", "0101001101011110000", "000010100", "0100010010100111111", "0100010100100110100", "0101101101010111", "0101010001011001", "0001001001100011", "0110000111100", "0001001001011110", "011000010010110100100", "1001011", "01000110101", "00101", "0100000101000010", "0100010010000110101", "0101000101000100", "0100100110", "001011110010011", "0101001101000010", "00100110011", "0101110001000101", "0101001", "00100100001011", "01001101000010", "1001011010", "10000111001", "00100000001011", "001011010110111", "00011101100110001", "10010001000110101", "0010000000100000011", "0110000100111001001011", "0011010000100", "0101000010", "0100000001000011", "10010101", "01001011000100000100", "0101111101011111", "0110000100001111", "010000011111", "01111111", "0100011001000100", "0101011101010101", "010010111", "001101000010000", "1001011110", "00001001", "010101100100", "001001010010011", "0100011001010111", "010000000101000101", "01000110010110010101110101011000", "0100010", "000100100111111", "0100000101010011", "00100100011011100011111", "001011000110111", "00110110000", "00101110011", "01100001011011", "00001011", "0000111111", "00110101001001110010001100111110", "0100011010101110000", "1001000001", "001000000010011", "00100100011011100010111", "000101001", "00101000001000010010001001110000", "0100010101011001", "0100001001011111", "0101001101010011", "10011100000111000", "10011111000100100", "0000110000", "0001001001010110010111", "0010100000111101011", "00100011", "01010011000100000101", "001100100110111000101", "01011100000100000111", "00011111101110000", "01011011010111110101110000010110", "01100111", "00100100011", "0001001001011011", "0011001100111", "0100110111", "0100011101000011", "001100100110111000100", "0100011001000011", "001011010010000", "00101000001011", "0100010001010011", "001001100010011", "0110000000100", "01100111100", "0101110101011011", "00101000001111", "0110001001", "0100000101000101", "0101111101011001", "0001001001110011", "011101", "00101111011011100011100000111000", "01001001000100", "001011110010101", "0100000101000011", "0001000101", "01010110010000", "00010010010111000101", "001001010011", "1001000110", "001010000010111", "0001011011", "001101010010000", "0010111101101110000", "0101011101011000", "010101110101111001", "01010111000100000100000101", "100110", "010110100100", "01010101000100000101", "0110011111101110000", "000100101100010110", "0100110110000100100", "0010111000111100011", "100100000", "000100100100001001010111", "1001110111", "001100010110", "00010100100100010", "011100010110", "01011100000100000100011001011110", "001100110010111", "0101011111", "10000100010", "00010110100100100", "01011101010101100001001001000010", "010111010101111001", "01100001001110010010110100100011", "00100110100", "01100100100", "0010110100110111011", "0100011001000101", "00100000011", "0110000000011", "001001010110111000100", "01100001001111000010100", "00100100001010100110110000100100", "00110101001010110010100001110000", "010001011001", "0101010101010101", "0101110001010010", "10011100", "000110111", "0100010101011111", "0010001000100", "0101001101011001", "01000101010100010100000100010110", "0100010010001110000", "00101110001010000110110000100100", "10011111000111001", "0110000111110", "011001010111", "0001001001010010", "1010", "10010000000111100", "000001011001", "0101111001010011", "0010011000101", "001010010010101", "0100111111", "001011110", "0101110101000111", "0100000001000101", "10010001000110011", "01100110101", "000100100101011001", "00010010010001110101001101000101", "011100000110101", "0010000000111100001", "001001000110111000111", "001101010010111", "01010100000100000100011001011110", "01000101010011", "00110110001011110011111101110000", "0111110", "10011111100100011", "01000110010101010101011000010110", "01010001010000", "010010100101110000", "0110000100101100001", "00100101011011100011100000111000", "001011000010000", "01000000010101010101", "0101011101010111", "0100001001010011", "010111010100001001", "0100011111101110000", "10010001000100100", "01100110001", "0001000010", "00010010011111", "001100010010000", "0101001101011100", "01010111010101000001001001000010", "01010110000100000100011001011110", "011000010010101000101", "0101001101010100", "0100010000", "01100100111", "10010100100100", "0101111001001001000100", "100100100100", "001001110010011", "001000100010000", "01100100011", "0101001100010110", "0010111000111100001", "0011010100111101011", "0001001001000110", "001001000100", "0010010000111", "00100111011011100011100000111000", "001111", "0100001001011001", "001001000010000000111", "01011010010100010100", "01000110001", "0101110101000010000", "00001001010011", "1001110101", "0111100", "011100010110101110000", "00000011", "0101111101010011", "0101110101010011", "01100001111100", "0010000000100010011", "0101010100000101", "0101010111", "010010010001110000", "0110000110111", "00101111001011", "0110000100001", "10011111000100011", "0010011000111", "0101011000", "10011111100110101", "00001100000111000", "00101010011", "0100010001011001", "0100111001", "0110000010001", "001001010110111000101", "0101111100010110", "01011100000100000100", "00010010100100100", "010001110101111001", "10010000111001", "0101111001011010", "01100001001011000011", "100100100011", "10011110000100", "00000110001", "0101011001010011", "011100000100", "010111110101000101", "011001110000", "01111011", "000110100", "000010100101110000", "01100001000110100010010000110101", "01000001", "0101011101000010010000", "001000100010111", "00100101011011100010111", "00010010010101100101110101000100", "010101010011", "0101111001010111", "01000000000100000100", "0100010010100111110", "1001001000101", "00100111110", "0100000001000100", "0100000001011011", "0101011101011110000", "0100101001", "0101111001000011", "1000010000", "00011101100111001", "01010011000100", "0110000010011", "10010010100111110", "011001100101100001", "0100100101", "00010010010000000100", "0100100000", "0101010100000100010110", "1001111000011", "0010110100101011011", "01010111010000100001001001", "0110010100101110000", "001011000010011", "001100010010111", "0011010100111", "0101110101010000", "010001011111", "000011100", "0010010010000", "00100110101", "1001010100", "10010000101110000", "100100100010", "0100011001011000000100", "011101011000", "00010110101110000", "0101101101010100", "00000100010", "0011001001101110000", "10010000001110000", "000100100101010001010111", "0010010001101110000", "0011010100100110011", "00010010011001000101101001010011", "00010010010101000101", "0100001001000100", "010110010001000100100", "011101000100", "0110000100000011", "0011000100100", "01000101011101000100", "01011010010000", "0101111001010101000100", "0110000001", "0010011000100", "01001001001", "0101011000010110", "001001000010101", "0001001001000000010111", "0101110001011011", "0111101001", "000100100101100001010011", "0101010101011110", "01100001001010000010001100100010", "010011100001110000", "100100101100010110", "0110000100111101001110000", "0010101000101", "0110110", "000100100111100", "000101010111", "0101001101011100010111", "0001001001110111", "0110000100111101001", "000001010111", "01011010010101010001001001000101", "0011001000111010011", "01010101011111", "0101011100010000010111", "0100000001000010", "100001111", "000110011", "00101111001110100", "0011001000101011001", "000000", "01000101011111", "001001000011110000111111", "01100001001111100011111", "010100100100010", "0101000101010111", "0100101100010110", "01011010010100010100011000010110", "01011101000100000101", "001001010010101", "0011001100111101011", "00011101100111000", "0100010101010101", "0010000000110111", "00100100001110000", "01011101000101", "110101011000", "0010010101101110000", "010101011111", "10010100001110000", "100111011", "00010010010001000101101001010111", "0011001100100111001", "0100000011", "0101000101010101000100", "01011001010011", "01000101010110010100011001011110", "01011100010101110001001001000010", "0010010000100000011", "001011100011111", "00110010011011100010111", "01000", "0001001010011", "0110000011101", "0110000100100110001011", "001011110110111000100", "01000001000100000111", "00101000001000000", "0011010000111", "00101100010110", "01010011010001000101101101011001", "0111101", "00101001001011110011100001110000", "00001100", "01011101010111100001001001", "01100001001110100010010000110001", "001101010110111000100", "01111", "10010000100110101", "00111001", "00101001001010110110110000100011", "001011010010101", "111", "00101100001111100", "01100001001110010010010100100100", "001000110011", "0001100001", "0100011101011000", "0010001000101011011", "01100001001000100", "000100100101000101", "01000001000100000100011001011110", "00010010010100010001001001", "010011100000111001", "01100110010110000101011100010110", "000100100110000", "01010111000100000100011001011110", "1001001000001", "10011010101110000", "00011101100110101", "10011101110000", "000100010", "010001110100001001", "0101000101010011", "01011101", "00010010010111110101110000010110", "010101010111000100", "010100010101100001", "0101110101011110010000", "111101010111", "000100100101100001011011", "001001100010111", "001100010010011", "00100100011011100011100000111000", "00010010010001110101101101000010", "0110000100111101011", "0100000100010000", "10011111000110100", "0001001001010001010000", "0101000101011110", "0101010001010101", "00011111100110101", "001100100110111000111", "0010110000101011011", "0100011101010011", "011001001111", "011100000101", "00010010010100010100000100010110", "0101011001011111", "01100001001000010010001001110000", "00100000001110100010010100111111", "00101000001000000110110000100100", "0100100100100", "0101001101011011", "010110110100011001", "10100111111", "01101101000100", "001011100011101", "01011011010111100001001001000010", "0110010101", "0010000000111010011", "00110010011011100011100000111000", "000101100", "0100000001001001000100", "10011111000110001", "0010001000100110011", "0010111100111101011", "0101011010", "00100100001111000010100101110000", "10010111100111000", "00110111011", "01011111000100000101", "0110000010010", "0110011100001110000", "001010000011100000101", "0011010100101011011", "00110101001001100010110100100100", "0100011101000010", "0101101101000101", "000100100101110101010011", "010111100101000101", "1001111011", "0010111100111010011", "00110010011011100010110100111110", "01000100000100010110", "0110000100101", "10010001000100011", "00101101001111", "001101100010101", "010100010101110000010110", "0010110100111", "01001110", "0101000001001001000100", "0110010100100111110", "01000110010110000101001101000010", "00110110001001110011100000111000", "0101011101011001", "0010011100111", "101101000101", "01010111010111100100011000010110", "0001001111", "0110000100100011001011", "01100001001011110011111101110000", "01100100000", "01011011010001000101101000010110", "001010000", "0100100111100", "01010100010111110100000000010110", "10010001000111001", "0100011001010101000100", "0101110101011111", "01110111", "0010010001101110001011", "0110000100101100001010010011", "01000100010", "0010001100110111011", "01010011000100000100", "010101110100011001", "01010111010000100101011100010110", "0110100100010", "01101101000010", "100101", "10011111100111001", "0000011111101110000", "00100111001000010011111001110000", "01000101011110", "01000110000100000100011001011110", "0101111101010111", "011010101110000", "0110000011001", "100110010", "00110101001010110011111001110000", "01000001000100000101001101011000", "0110011001011110", "0101000001", "01000101000010", "0101011001000011", "000100011", "0101010101011001", "001101000010", "0100011001010101010000", "0101000110", "01100111001", "000001100", "00010010100110011", "0001001001010110010000", "0010111100101011011", "01100100110", "01000110010101010100000000010110", "00100010001000010010000", "001101000101", "01000101000100", "0011001100110111011", "0011001000101011011", "0100100100101100010110", "010001000100", "0111100001", "00010010010100100100101100010110", "00100100001000000011100001110000", "00100100011011100010001100110110", "01100001000111100", "00101001001001110011111101110000", "01010111010101000001001001010111", "01011010010110010100000100010110", "001100100010101", "0100000110101", "10011100100100100", "001000000011111", "00100100100", "0101000001010101", "010101011001", "0001001001111100", "00101000001110100010010001110000", "00110101011011100011100000111000", "0100011101010111", "0011011100101011011", "01000000000100000111", "00101110001000000", "10010111100110001", "000110", "0100010100100100011", "1001000111", "001000110010111", "01011011010111100100", "00101111001010010110110000100100", "01001101011000", "0101000101010001010111", "01010111000100000101110101010000", "1001111111", "010110010101", "01100001001011000011010101110000", "01100001001011110010000", "010010001100111110", "0001001001011010", "001100100011111", "10010100000110101", "010011100000110101", "0001001001100010", "0100101", "101001010011", "00011100000110101", "01001001010011", "01011111000100", "10100111100", "00100111111", "00100100001010100110110000110001", "0100010000001110000", "01100001001010000011111", "0001001001111111", "001011110110111000101", "101001010111", "0101011101011010", "01100001000001100", "00011111100100100", "00100000001000000", "01000000110110000", "0001001001011000", "0001001001100111", "01000000010101010100000101", "0100000101010101000100", "011010010000", "000101010011", "001001000010000000101", "0001010001", "0010001100111", "0100010000000110101", "00100101011011100010010100111110", "0011010101101110000", "001101110010011", "010110100100010", "0110000011000", "010010010100111110", "01001111100", "0101010101110001000010", "01100001001011010010001100111110", "001101000100", "0100001001000010010111", "0101001101000010000", "0101110101011101000100", "011000010010001100100", "001000110010000", "001001000010011", "0100010001011111", "01010000010111", "0011001100101011001011", "01011101010000100100", "01000000000100000100011001011110", "01000001000100000101110101010000", "0100011101010101", "00011001", "10011100000100100", "000001000011", "0100100110001", "01011100010101000001001001000010", "01100110100", "01000001010000", "01011111010100", "0001001001110100", "0001001001111001", "00010101111000010110", "001101000010000000101", "0110100111110", "01100001000010000", "01100001001111010011", "011001000011", "10011100100111110", "0001001001111011", "00101111001010100110110000100100", "0100010101010111", "01010110000100000100011001011001", "00110010011011100010010100111110", "001100110110111000100", "01000001000100000101101101011000", "011101010111", "00110010011011100010001100110110", "00010100100111110", "00100000001000100", "0100100001", "010110100101010100010010011", "01100110111", "10011111000111101", "010001100100001001010011", "011001000101", "00010010010100110101110101011000", "0101000001011111", "0101101101000000", "0101111001010010", "1001111000", "01000000010101010101011000010110", "01000100101", "1001111110", "00011110000100010", "1001110010011", "00100100001111100", "001011111", "00101111011011100010111", "0011010100100", "0101110101010110000100", "00100101001111", "0011010100110111011", "0101010101000101", "101001011111", "010101110101110101", "10010000110001", "10010001000110001", "001011100011100000101", "0011001101101110000", "011101000101", "0010000000111100011", "01011010010101010100000000010110", "00110010001110100011111", "01100101011101000100", "10010111100110101", "001011100011110000", "0100000100010000010111", "01010101000100000100011001011110", "1010011100001110000", "001101011010", "0011001001101110001011", "0100011101011010", "01101100", "0101100101010101", "0101110101011110000100", "010100110101110101", "0101011101010001010000", "0101101101011011", "01010110000100000101101101011000", "01101101010101", "0010100100111", "0100010101010011", "0100011001001001000100", "01101101010011", "01010001010111000101", "01010111010000100100000100010110", "0101110101011010", "0111000110101", "10010000000111001", "111101011001", "001011110010101000101", "0101000101011000000100", "0101001101010111", "00010010010101100100000001011001", "0001001001110101", "000101011100010110", "001010100110111", "10010111100100100", "0010111000100011011", "00110010001111", "00110011001011110010000", "0011100001101110000", "001001110011110000100", "0011010000111010011", "010001010011", "0101000111", "01010011010000100100", "0110000000010", "001010011", "00100100001010100110110000111001", "00101100001010110010001000100100", "001101010110111000101", "000101000010", "00110011011011100011100000111000", "001101010010011000101", "1001010101", "0011011100101011001111100", "0101011101000111", "01011101010101100001001001", "10010100111110", "010000000100001001", "01010111010101000001001001011111", "0010100000101101001011", "0010110100101010011", "001110000110111000101", "0100000111001", "001100010011110000100", "0100010100011001010011", "01010101011000010110", "010110100101010101", "0101111001011100", "00100100001111000011111101110000", "010000000101110101", "01010101000100000100", "00010010010100010100011000010110", "0100010100100111110", "0110010001000100100", "10011101101110000", "0001001001011110010111", "010000010101100001", "01011101000100000100", "011000010010100000101", "10011111000111111", "00100010001011110010000", "00110011001010110010100001110000", "01000101010101010100000001010011", "01010010010111", "01100001001110010010100100100010", "00100000001111000011", "10010111101110000", "0100011101000101", "000000010110", "00010010010001110101011101000100", "001001010010000", "0101101101011010", "10011111100111000", "00110101001001100010100100100010", "00001111100", "01000110010111110001001001000010", "01001010011", "010101011110", "01011111010101010101110001000010", "0001001000111", "00101110011011100011100000111000", "00110101001000010110110000100100", "0100001001010111", "01101101011010", "001100100010000", "0110000100000111", "0100001000010000", "100001011011", "0100011100100100010", "0101101001000100", "0110000100101101001011", "000101011101000100", "00100101011011100011100000111111", "00100110011011100011100000111000", "0110000010100", "01100001001010000011111000111111", "000101011111", "00101110001011", "001101010011101", "000100100101001001010111", "0011000100111", "01000110010110000101011101000100", "010100110101", "0101101101011100010111", "010111100101010101", "010010010000111001", "0100010100001110000", "0101010101011111", "01010111010101000001001001010100", "000000110011", "001001000110111000011", "00110100011000010110", "0100011001001111", "0100000101011110", "000101011110", "01010100000100010110", "0101101100", "0010000000101001001", "0010010101101110001011", "01100001001001110011111101110000", "0001010101", "00100000001111", "0100110110000110001", "10011111000111110", "00101001001010110110110000110011", "00110011001000010010000101110000", "0100010010100110011", "01010100000000010110", "0110100111100", "01100110011", "10011111000101001", "00110110001010110011111000110101", "01000000010111110101111100010110", "0100011001010001010111", "0101001101010101", "01010100000100000111", "0101011101000010010111", "01011101010111100001001001000010", "100110111", "01001101011010", "010100101110000", "0010000000110111011", "00101000001010110011111101110000", "0011001100100", "01001001000101", "01010011010111100001001001", "0110000000000", "01101101010010", "1001001000110", "00110001011", "010000000101001", "010010010000110101", "0101100001", "01100001000000100", "1001010010", "1010010100101110000", "00010010010110010100000100010110", "0100010110100111110", "010001100101100001010111", "011000010010000000100", "10010000000110101", "0010011000101011011", "00100111001111000010001100111101", "10010111100111011", "0101001111", "01011010010101010001001001000010", "001000000011100000101", "0011001100101011001", "01011001011111", "01011010010101010001001001010101", "010110110100001001", "0101111001000100", "0110000010110", "00011100000111001", "01000110000100000101110101010000", "0101000001010011", "01010011010111100100", "0101010001000010010111", "01011101000100000100011001011110", "100101001", "10011101000111001", "00000100011", "0010011101101110000", "010100000101000101", "01010111000100000101101101011000", "01011100010100110101011100010110", "10011111000100010", "0010110000100", "0011100", "0101111001010100", "000100100111110101010011", "00010110100100010", "0100001001010101010000", "01100001001011110011100001110000", "00100100011011100010010100111110", "001110000110111000100", "01100001001001100010010100100011", "000011000010111", "00010010010110000101101101000101", "100101011101000100", "1001100101", "01100000010010010000", "001010000011111", "001001010010111", "01010101010110000100", "01101101000101", "0111100111111", "000100100101010101", "000110011001011110", "00100100011011100000111", "0101000101000101", "01100001001111100011111000111111", "100100110011", "0000100100", "0001001001100101", "00111111", "0101111001001111", "0000100000", "001000000110111000100", "0100000001001111", "0110000100000000", "10000111100", "1001100010", "00101001001010110011111001110000", "0010111000111100001110000", "010010010111", "01011011010111100001001001", "0100010110100100100", "0101001101001001000100", "010101010101011000010110", "01011101010111100100000100010110", "0000100000100000011", "001001000011110100111111", "010010101", "0100100110101", "0101011101011011", "0110000011110", "10011111000110011", "0001001001010001", "00010010010100110101110101011011", "0011010100111100001011", "01000110010110010101110001010001", "01100001001110000", "100101011101000101", "0100010001100100010", "0101100100010110", "001001000011110000100", "00110001001111100", "00110010011011100011111", "010000100101110001010011", "0100010001100111110", "0100100110011", "010011100000100010", "101101000010", "0001001001010001010101", "00100100001010100110110000110010", "00101111001011010010100101110000", "01001011000100000111", "01100001001011010010001100111101", "00000000001111", "010100010101111000010110", "0101110101011100010111", "00000101001", "000100000100010110", "001001010110111000111", "0011001100111010011", "0100000001010010", "0101101101010010", "01101011000", "011100010111100111111", "0001000111", "001011000010101", "000010010100111110", "00010010010000000100000001011001", "0010010000111100001011", "010000100100101100010110", "0100010101011000010110", "010001010101100001011011", "01010100010000100101110101011011", "010101010101000101", "0101110101011001", "0110000000111", "00100100001111000011", "0100010100011001011111", "01000101011101010010", "010100010101111101011111", "0101111000010110", "10010010100100010", "001011100110111000100", "00110010001010110010100001110000", "01000001010101010101011000010110", "01010111010100010100000101", "010001110000", "0100010110100100010", "01001111000011", "0101110001000100000100", "0110000010111", "001100110110111000101", "001101100010000", "0101000100010110", "0110000011100", "01100001001110100011111", "0111000101011111", "00010100011001011111", "00100100001111000110110000100100", "00101110001000000110110000100100", "0101111001010001010111", "011000010011110100100", "01111001", "001000100010000100100", "0011000100101011001111100", "010000000110001", "010010010100100100", "010011100000111111", "01010011010111000101", "0101011001010101000100", "011001111000011", "001000000011110000", "00110101001001110010001000110111", "0110000100110", "0010010001000100011", "01000001010011", "010001100101000101", "01011010010101010001001001010000", "0110000100101100001011", "00100000001110100110110000100100", "001011100110111000101", "000100100110011", "00101001001010110110110000110110", "00110010011011100010110101110000", "0101000001001111", "0101101001000010", "01011100010101010101011000010110", "0110000100101000001001", "0110010100001110000", "00000100101", "0000100110001", "00101110001000000011111101110000", "0100001000010110", "010110110101110101", "0000111100", "0010100111110", "00110101011011100010001100110110", "0101011101001001000100", "00011001010011", "0010100000111100001", "01010111000100000100011001011001", "010110100111110", "01011101010001010101010101011110", "10011100000100011", "10011111000111011", "00100111101", "0101001101011111", "0101010101", "10011100100100010", "01000001000100000101001100010110", "0101001101000010010000", "01010111010000100001001001000010", "10010", "000001011111", "000100100111001001", "00110100001011", "01001001000111", "01010011010111", "0110000011010", "00001001001", "0101010001010000", "0101010100010001010011", "000000100010011", "001101000010101", "01011100000100000101001101011000", "00100100011011100010110100111110", "0100000001010100", "010000010101010101", "01010011010000110001001001010111", "0101011101011100010111", "11100110101", "0001010000", "00100101000", "00100100011011100011100000111111", "00110101011011100010111", "0100101100010000", "01010011010111000100", "01011011010101010100000100010110", "01100001001110010010010000111001", "00101000001110100011010101110000", "00110100001", "0100011101010100", "0001001001011101010111", "000100100110001001", "001011110110111000111", "01010100000100000101", "01010111000100000101001101011000", "01011001000100000101", "010111100100000100010110", "10011100000101001", "0001011000", "01010111000100000100010101010111", "0101100101011001", "01100001001001100010100101110000", "0110011001", "1001001100101", "001001011001", "01000000010110010101110001010001", "010010100100111110", "010111010101110101", "0111100111000", "011111101110000", "10100110011", "00100000001110100010100100110100", "00100000001111010110110000110001", "00100101001010110010100001110000", "010001010101100001", "000100100100000001010011", "0010010000110111011", "0010100000101101011", "00101111001010110010100001110000", "0100001001000101", "0101010101110000010110", "0110010011", "0001000100", "00100100011011100001111", "001001110010111", "00111000011011100011100000111000", "0100010010100100011", "0100110010", "010100110100011001", "0010010100101011011", "0100010010100100110", "0100111011", "100100111100", "10011101100111110", "00010010100111100", "0101000001000101", "010111000100101100010110", "111101011111", "00010010010001110101101001011111", "0010010000111100", "00100101001001110010001000110111", "01010011010001000001001001000010", "01011011010001000100101100010110", "00100000001001", "00110000", "00110101001001100110110000", "0101001101011100000100", "0101101101011110000100", "0101011001010101010000", "011000010100100100010", "011000010011100100100", "00100100000", "001011100010011", "011000010001110000", "10011100100100011", "000010100100110100", "00010110100100011", "00101001001010110110110000100100", "0011010000111101011", "01010111000100000100000001010011", "0101011101000010000100", "0010010100111101011", "0101110101010111", "1001001000100", "0100001001000011", "0100110", "10010000100110001", "1001001100010", "01100001001110010010010000", "0110010101100111000", "0100010100010110", "01010110010101010101011000010110", "01011101010000100001001001", "01100001001001110011100001110000", "0110010010100111100", "0010001000100101011", "00101110001111000011", "001100100010111", "01010111010010000", "0101011101011111", "00101000001000010010001000100011", "00101111001010010110110000110001", "0011000000111", "01011011010111110101110001000101", "10011100000110001", "000010100100100011", "00100100011011100010111100111111", "00100101011011100010111000101001", "00101001001001110010111100111000", "001010100010011", "010001100100010", "0100011101011001", "011111000101", "00001000001000000110110000", "0100000001011000", "0001001001010010010111", "00010010010101000100", "001011000011", "001011100010111", "0011001000111101011", "00110111001010110011111001110000", "010010010100111111", "01010011010001000101011100010110", "010110100100100", "01011010010100010101011000010110", "0101101001010101010000", "010111010100001001011111", "01100001001001100010110100110100", "01100001001011110010111", "10011110000110101", "00100111100", "00010010010110010101110001000010", "0010000000101010011", "00101100001011000010100100100010", "001101000010011", "0100011001000111", "0101000100100", "01010011010001000101011101010010", "01010111010000110001001001010111", "01011101010111100100", "01100100010110", "111101010011", "00010010010110010100011000010110", "00010100100110001", "00011100001110000", "00100100011011100011111000110101", "0010110100100010011", "00101111011011100010110100111110", "001101110010101", "0100001001010001010000", "01010110000100000101000001001111", "0110000011111", "1001111010", "1010010100100110100", "101001011001", "00010010010110000101001101010010", "0010100000111010011", "0011001100100011001", "0100011101010001", "01010110010110010101110001010001", "01010111000100000101000101011001", "01011010010101010001001001000110", "011101011010", "10010110100111110", "000100100100001001", "00010010010100010101110000010110", "000101000100", "001000011", "00100100001101100", "010100100111110", "0101001101001001", "0110000001011001", "000000000011", "001000000010000000100", "00100011001010110011111001110000", "00101000011", "0010100101101110000", "00110011001001110010001000110111", "001101000010100", "010000000101010101010111", "01001011000100000100011001011110", "0101100101010011", "0110000001011111", "01100001001111010011100000110001", "0010010000111100001001010011", "001001100110111000100", "0100100111101", "010011100000110001", "0101001101010010", "01011111010100100101011101000100", "00011111100111001", "0011001100101010011", "0100010010100110001", "0101101001010001010111", "0110011111100110101", "00101110001111", "00101111011011100010001100110110", "00110011011011100010111", "001100110110111000111", "01000001010110010101110101011000", "0100010010100100100", "010100100110001", "0101011101000010", "01110101", "00100100001111010110110000110001", "0010100000111100011", "01001000011", "01011011010100110101101000010110", "01011101010001100101011101000100", "0110010010100111110", "01110101000100", "00101000001010010010010000", "00101001011011100011100000111000", "010010011101110000", "0100010100100110001", "0100010101011000", "10010001000111110", "000", "00101001001011110010100001110000", "0010110101101110000", "0010111100101001001", "00110010001001110010001100111110", "01011100010101110001001001010111", "0110010111000110101", "00010010010000110100011001010111", "0001011010", "00100011001111", "0010000000111100001110000", "0010010000111001011", "00100100011011100011101100110001", "00101001001010110110110000100000", "001100010110111", "0100010001100100111", "010110010110100100010", "01011010000100000100011001011110", "10011100100110111", "000100100010011", "00101110001110110010101100111000", "010100010101101100", "01010111010101000001001001011001", "01011010010101010001001001000100", "01011101010000100101011100010110", "01100001001001110010001000100100", "00100101011011100010110101110000", "0010111000111011001110000", "01001100", "01010000010101010101", "0101000001011001", "0001000011", "00010001100100101", "00011111100100101", "00100000001110100010100101110000", "100001010011", "10010000100100000", "000100000101011001", "00011111000111111", "00100100001000000010111", "0010110100111101011", "01000101011101", "010010100100110100", "0101011101000000", "0110100111101", "00100000001000100110110000", "00100100011011100000000", "00101000001000000010111", "001011010110111000101", "0100100100110", "0101000000", "01010110000100000111", "0101110100", "010111000101011000010110", "001000000110111000101", "001001011010", "00100100001010110010001001110000", "00101001001010110110110000100010", "0010111000111001001", "0101001101000010010111", "01010011000100000111", "01011100000100000101110101010000", "0110000001001001000010", "0001001001010101010111", "001101010110111000111", "01000001000100000100011001011001", "01001001010111", "01010000010101010100000000010110", "0101001101010010010111", "01010111010101010101110000010110", "01011101010001010101110001010010", "01011101010111100101011100010110", "0111000110001", "00011100000110001", "00100000", "001011110011", "010010010000111111", "010110010111100100100", "0101111101000000010111", "10011111000111100", "000000000110111", "00101000001110000010100101110000", "00101110001110000010100100100010", "0100010100100111101", "0101011100010000011111", "010111010101111001010011", "0101111101000011", "1000010001100100101", "10010100100100011", "1011011", "00010010010110000101011100010110", "000101101001", "001011100010001000100", "00110010011011100011101100110101", "01000001000100000100010101010011", "01000001010111", "0100101101010101", "0101110101010010", "011000010010110100", "00100011001000100", "00100000001110100110110000", "00100000001111000011010101110000", "00101000001011110010001001110000", "0010111001101110000", "010110100101001", "01100001001111100010000000110001", "00010010010000000101111001010111", "001000000011110100111111", "00101101001000100011010101110000", "00101110001110110011100001110000", "0110000010101", "01110101000011", "10011110000100000", "00011111100111000", "001010010110111000100", "0100000001011", "0101010101001101000101", "01010101010110000100011000010110", "01010110000100000101001101011000", "0101111101000101", "011000010000110100100", "10011100100111100", "0101101101000010010000", "01100001001011110010001001110000", "0010101000100", "00101110001000000110110000111111", "001101010011110000100", "01010011000100000100000101", "01010101011101011000", "01010111010111100001001001", "01100001001010110011", "0111011001", "0000011100001110000", "00101111001011110010000001110000", "001101110010111", "010101110101011001", "010110011111000100011", "01011011010001100101011100010110", "01011100010101000001001001010111", "01011101010111100001001001010111", "00100100001010100110110000111111", "00101110001110110010001000110100", "00101110001111000110110000100100", "01000000010100010101111000010110", "0101000101000011", "01011011010101110101101001000010", "0110000100011100", "100101110101000011", "000001001111", "001000110010101", "00100100011011100010101000111001", "0100011001011000010000", "01011101011010", "0110000111011", "01101000110", "000100100101001001000111", "00010010010100010001001001000101", "000100110010000", "00010100011001010011", "000101100010011", "0010010000111010011", "010010010000110001", "01000101010110000101101101010101", "01001101000100", "01011011010001000100000100010110", "10100100100", "10010000100111001", "00010010100111101", "00100110001001100011100001110000", "001010000010001000100", "001101100110111", "00110010011011100011100000111111", "01000110010111000101", "01010001010001000101101101011001", "010100110101110001011011", "011001000010", "00100000001110000010100101110000", "00101110001000000010100101110000", "00101110001111000010000", "0100000100011", "0101000101011011", "011000010010110000100", "1001100110", "0100000001010001010111", "0100011101000110", "0101111001011011", "0110000100100011001", "00010010010111100101110101000010", "0010000001101110000", "01000100010101010100000000010110", "0100010101010001010000", "0100111", "01010100011000010110", "0101011100010000", "01011010010101010001001001010111", "0101101101000010000", "01011011010100010101110000010110", "010110110101011001", "010111100101110001010111", "0110000101000100", "01100001001011110011111000110101", "00011111100111111", "00100000001111000010100101110000", "00101001001010110110110000100111", "00101110001000000010101101110000", "0100110110", "0101000101000010", "01010011010111010101011100010110", "010101110001000001100001", "01011011010111100001001001010111", "0101111001010001010000", "0111001111", "1001101100", "00010001100100010", "00010010100110101", "001001010111", "00101000001000000110110000110001", "00101110001000000011111", "00101110011011100010111", "00110110001001100010010100110011", "01011010010110010101000101011110", "0101101101010001", "00100000001000100010000001110000", "001001110110111000100", "00110101001011110010000", "0100000101010111", "0100001101000101", "01010011010111000101111000010110", "0101010101011000", "01011100010100010101111000010110", "01011110010101010101011000010110", "01011110010111000100101100010110", "0110000100000011001011", "011101001110", "01111101010111", "0111111001", "100101001101000010", "100101011101010011", "000001", "001000000010000", "00100000001111000010000", "00101001001010110110110000110101", "00101001001010110110110000111101", "00101111001010100110110000110001", "0100011001010001010000", "01010011010111000101111001001111", "0110010000000110100", "01101101011001", "10010011100110101", "00010110100111100", "001010000010000", "0011011000101011001", "010000010101100001011", "0100010010100110101", "01010011010000100100101100010110", "0101010101000011", "010110010110100110100", "0101110000010000011111", "10010000000110001", "00010010011001", "000100100111100001", "00100101011011100010110100111110", "00101000001010010010010000100100", "00101111001110100011111", "00101111011011100010010100111110", "0011011100100111001", "010110010110100100011", "01011010010101010001001001011011", "01011100000100000100000101", "010111010101110101011111", "01011111000100000100", "0101111101010100", "10000100101", "10010101000110110", "000101000101", "0010010100111", "00101000001011010010010001110000", "00101001001010110010000", "001011110011101000100", "0011100000101011001", "010101110101110001010111", "01011010010101010001001001010011", "011000010010100", "011001000001", "10011101100110101", "10011110001110000", "10011111100100000", "00010010010001000101101001011111", "00011110000110101", "010000010101000101", "0101010100000101000010", "01100001001110100010010000100010", "00010010010100010100000001010011", "000100100111111001", "00100000001000110010100101110000", "00101110001111000010100101110000", "0011001000100110011", "01011011010111000101", "01100001001001", "01100001001000000010001100100100", "100010", "000011010101110000", "001000100110111", "00110011001011110010111", "0100000101000111", "01011101010001010100011000010110", "011000010010000000101", "01100001001011110110110000100011", "1001110010", "000001000100", "000100100101110101", "00100101", "00100100001110000010100100100010", "00100100001111010011100001110000", "00110011001011110010000001110000", "0101000101010001010000", "01010011010000110001001001000010", "01010100010111110100000001011011", "01010111010000000100", "01011100000100000101101101011000", "0110100100100", "0110000100101001001", "10100111101", "000100100101110001011011", "00100000001111010110110000100100", "00101110001000110010000", "0100001001000110", "01010101010110000", "0110100100011", "00100100110", "00100010001110100010010100111111", "00110110011", "0101010001000100", "0101010101001101010010", "0110000100101101001111100", "0110010110100100010", "100001111100", "0010101000111", "00110010011011100011111000110101", "01001001000010", "0100010101011110000", "01010011010111100001001001010111", "01010111010001100101011101000100", "0101110100010000", "0101110101000000", "01011101010111100001001001011001", "0101111101010001010111", "10011100000100101", "10011110000110001", "000011110010101", "000101001100010110", "0010001100101011011", "001011100010000000100", "00101111001110100010100100100010", "00110001001000010011111000100100", "01010011010111100101000101010011", "0101010010", "01010110000100000101001100010110", "01011010010101010001001001000001", "0101110000010000010111", "01011100010001000101011101000100", "10110011111000111001", "0010001100100", "001101010101", "01000101000100000101", "0100010110100110011", "01010011010000100101011100010110", "0101010100", "0101011110", "01011001000100000100", "100100100000", "10011111100111111", "00100100001111000110110000110001", "00101001001010110110110000110001", "00110111001010110010000", "0100011100000110101", "0100011001011010", "010010001101110000", "01011001000101", "01010111010000110100011000010110", "010110110101000100", "0110000011011", "01100001001001110010001000110011", "0110010", "10011111000110111", "0000100000111", "0010000110101", "001001110010101", "00101000001000000011100000110101", "0011001000100001011", "00110101011011100010010100111110", "010100100110100", "010101000101011001", "0101110001001001000100", "011101010011", "100100111001", "0100011001000010010111", "0101010101001101000100", "01011011010100110101001101011010", "01011100010110010101110001010001", "01011101010111100101010100010110", "011000010000011100100", "01100101110101000100", "0010100100110001", "0100000101010101010111", "0100010100100111100", "01010100000101000010", "01010111010000110001001001011001", "0101110101011101010000", "0110101110000", "0110000100101111001", "0111100110001", "1001100100", "000101011010", "0010100000101111011", "01000110000100000101101101011000", "010001110101110101", "010010010100110100", "01010111010000100001001001010111", "01010111010110010100000000010110", "01011011010000100100000101000010", "011000010010100100100", "1000011111101110000", "100101101101011000", "1001111101", "00000100111", "000100010010111", "00010010010000000101011101000100", "000101101101010101", "01000001000100000110011001011110", "01000001000100000100000001010011", "0100011001010101010111", "0101011001000101", "01011100010001000100000100010110", "01011110010000110101110100010110", "0110011111100100100", "10010001000101001", "00010100100111100", "00100011001110110011100001110000", "00100100011011100000101", "00101110001000000110110000110001", "00110010001110100110110000", "00110010001110110010111", "00110011001011", "001101010010", "0100000101010101010000", "01010011010000000100", "010111010100001001011011", "01011101010000100001001001000010", "01100001001111100010100100100010", "100111111001111", "00001111100100100", "000101000011", "00101111001010100010100100100010", "00101111011011100010110101110000", "00110010001000010010000", "00110011011011100010001100110110", "00110011011011100010110100111110", "001101000011110000100", "01001101010101", "01011100000100000101001100010110", "01011101000100000111", "0110010100100100011", "1001111001", "00001110001000000110110000", "00010010010101100101101101000100", "00101101001010110010100001110000", "01011101010111100101001101011010", "01011110010100010101110001010010", "01110001010010", "0111110001011111", "00010010010110010101110001010101", "0001001001110001010111", "00100100011011100011111100100100", "001011100010000", "00101110001110010010001001110000", "00101111001000010011100001110000", "00110011001110000", "01000000000100000100000101", "010001100101010101", "010100100011", "010100011101000101", "010101100100011001010011", "01011011010100", "01011100010101000101011101000100", "01100001001111010010111", "100100111110", "00000011001111", "000100100101010001011011", "0001011101", "0010010010100111110", "001001100110111000101", "0010100100100", "00101000001011110010000001110000", "00101111001110100011111101110000", "001101110010000", "01000100010101010101011000010110", "01000111010111100101011000010110", "01010001010100010101111000010110", "0101001101011101000100", "01010100000101010011", "01010101000101", "0101100101000011", "011000010011110000100", "01100101010011", "011100000111111", "10010010001101110000", "000011110010000", "0001001001100110", "0010011001101110000", "00101001001010110010010100100010", "0100010110100101001", "010001100100011", "01010111010000100101011101010010", "01011010010101010001001001010100", "0110000100001001001", "0110000100110111", "01101101010111", "00100000001000000110110000110001", "0010100100100000", "0010110", "0011001100101001001", "001101000010111", "01000001011010", "01000010010111110100000001000010", "01010000010111000101011100010110", "0101101001010001010000", "0101110101011110010111", "01100001001110100010010000111001", "00010010010100010101111001000101", "0001001001100001", "00100010001000010010000100100000", "00100111001000010011111000111101", "00101101001010110011111101110000", "00110010001011", "00110100001111100", "00110101011011100010110100111110", "0011011000100000011", "010001100101100001011011", "0101000001000011", "0101001101010100000100", "01010111000100000101010001011001", "01010111010101000001001001010000", "010110010110100100100", "0110000101010101", "011000010001110000100", "011110000", "0111111101011111", "10100111110", "00011111000110001", "00100000001000100010000000101001", "00100100001111000110110000111111", "00100100001111010110110000100100", "00101111001001110010001000110111", "00110010011011100010101000111111", "001100110010101000101", "001110000110111000111", "0100001001011010", "01000110010111", "010010100100100011", "010010010100110001", "01010111010111100101000101010011", "01011100010101000001001001000101", "011100000111000", "011100000111001", "011111000110101", "110101000001", "00010010100110100", "00100000001000100011111", "00100100001111000110110000100011", "00101000001110100011111101110000", "001011011", "00101110001000000010110100111100", "00110010001000010010001001110000", "00110101011011100011100000111111", "01010100000100000100", "01010111010000110001001001000010", "011000010010001000100", "0111100110101", "00011001011111", "000010110010111", "00010001100111110", "00010010010000100101011101000101", "00010010010000100101011101010101", "00010101111001011010", "00100100001010100110110000100111", "001101010001", "00110101001001100010100100111001", "0100000001000100000100", "01000110000100000101001101011000", "01000110010001010100000001010011", "01000111010111000100", "010010100111110", "01010111000100000101010001011111", "01101011", "0110000101101101011000", "10011100000100010", "10110011111100100100", "000100100100001001010011", "00010010010001000100000001010111", "00010010010110000101001101000000", "0010000000100011011", "00100000001001110010001001110000", "00100100011011100010101000111111", "00100100011011100011111100110101", "00100101001010110011111001110000", "00101110001000110110110000100100", "00111000011011100010111", "0101010001", "01010100010110010100000001000101", "01010101000100000111", "01010111000100000100000101010011", "011000000100100100", "01100001001111000010100100110011", "01100001001111100011111000110101", "00010010010000000100000001010011", "001010000011100", "00101001001010110110110000110010", "001101010000", "001101010100", "01000001011001", "01000001010110000101101101000110", "0100010110100111100", "01000110000100000111", "01000110010110000001001001000010", "010110100101000101000100", "0101111001000010", "01011100010101110001001001011001", "01011110010101010100000100010110", "011000010010101000100", "0110010001000111001", "00100010001010110010100001110000", "00100101011011100010001100111110", "00101111011011100011100000111111", "01000000010000110100011000010110", "0100000101011000000100", "01000110000100000100011001011001", "0100011001000010", "01000111010111100100", "01010001010011", "01010111000100000100000101000010", "01010111010000110100000100010110", "0110000101001", "01100001001001110011100000100011", "01100001001011000010100101110000", "10011101000110001", "10011110000111001", "00010010010100100101011101010011", "0001001001110010010000", "00100100001111010110110000111111", "001011110010100", "01000101011010", "01010001010111110101111101000110", "0101101101011110010000", "010111000101000101", "01011101010001010101111001010010", "0110010110100111100", "011110000100", "0111000101011001", "1001110010101", "00100100001111000010000", "00101100011011100011100000111000", "00101110001110110010000000110100", "01000001000100000101000101011001", "0100011100100110100", "01010001010111110101110001000010", "0101001101011110000100", "01011010010101010101101101000100", "010111000001000001000101", "0101110101000110", "01100001001111100010110100100010", "01100110010", "10010111100111001", "001000110010011", "0010011000100110011", "00101101001011110010001000110100", "00101110001110100010010000110101", "010001100111100", "01000111010111000101011000010110", "0101000101011101", "0101110101000010010111", "1000011111100100100", "1001000000", "10010101100110101", "10010101100111110", "1001110001", "0001001001011101", "00010100100110100", "00101100001111", "00100100011011100010111000110101", "001010000010000000100", "00101111001010100110110000100011", "00110001001011110011111000100100", "00110010001001110010100000110101", "0100100111", "0100000000010000010111", "0100001001010001010111", "010010110101", "0101000110110", "01010100010001000101011101000100", "01011010010101010001001001010010", "01011010010101010100000001010011", "01011011010100010101111000010110", "01011110010100010100", "0110011110001110000", "10100110111", "000010110010000", "00010010100100010", "00010010010110010100011001000101", "00011100100100010", "000111101", "00100100001001110011111001110000", "001001000011110000111", "0010111000111001011", "00101111001010010110110000111111", "00110100001000000010100001110000", "0100000101011011", "01001001000110", "0101001101000111", "01010111010000100100", "01011011010111100101011100010110", "01100001000110100", "0110010100100110100", "0110010110100100100", "01100111011", "100001010111", "00001000001000000110110000100100", "0001001001000000", "00010010011110010101110000010110", "00010110100111101", "001000000110111000111", "00101000001000000010100101110000", "001010110010000", "00101101001111010010001101110000", "00101111001010100110110000111111", "010000100", "01000100011101000100", "01000110010100010100011001010011", "01000111010101110101101000010110", "01001000100", "01010011010110010101110000010110", "01010110000100000101010001011001", "01011010010101010001001001110100", "010111010100011001", "0101110101000010010000", "01011101010111010001001001000010", "011000010001101000100", "01100001001011110010000000100011", "0110010110100111110", "0010001000111100001", "001001000010100000101", "00100100001010100110110000110110", "001011110110111000011", "00110100001111000010010100111110", "00110101001011110010111", "00110101001001100110110000100100", "0100010111", "01000001010110010101110001010001", "010001100101010101011111", "01010110000100000101110101011000", "01010110010101010100000000010110", "01011010010101010001001001011000", "0101110100010000010111", "0101111001011100010111", "011001001010011", "01100001001010100010010100100011", "0110100100000", "10010000000110100", "10010001000111111", "10010010001110000", "00001011010011", "0001100111", "0001000111111", "00100000001000000010111100110101", "00100100001000000010111100110101", "00101000001110100010010100111111", "0010110001101110000", "0010111000111010011", "001101011011", "00110101001000010110110000110001", "00110101001110110011111000110101", "00110101011011100011101100110001", "0110010001000110100", "0101001100010000010111", "010101100101010101", "01010111010000100001001001000101", "0101110101000010", "01011101010111000101", "0110000100100111001000100", "01100001001010000010010100100010", "01100001001011000011100100100100", "01110100", "100100110001", "00100000001000100011111100111111", "0010000000111010001110000", "00100010001000010010001000100100", "00101001001010110110110000111110", "00110010011011100010001100111110", "0011010000111100011", "00110101001001110010000100110101", "01000101101000010110", "010011110000110101", "010100100100011", "0101001101010001", "01010011010101000100", "01010011010001100101011100010110", "01011011010000110101101000010110", "01011111000100000100011001011110", "100100111101", "100100011101011011", "000001110010000", "0001000110101", "0001001001011000010111", "00100000001111010011100001110000", "00100100011011100011110000100010", "00101000001111000011111100100100", "001100010010101", "00110100001000100010100001110000", "0011010100111100001001010011", "01000000010100010100011001011111", "0100000001010100000100", "01010110010101010100000101", "01011010010101010001001001011010", "0101110101000001", "011000010011101000111", "10011111000100110", "10110110000110001", "0001001001110010", "0001001001110010010111", "00100100101", "00100100001111000010100100110100", "0010010001000110001", "001001010110111000011", "00100101011011100010111000110101", "00101000001111010010010001110000", "00101001001010110011111000110101", "001011100010100000101", "0011001000100110001001", "00110011001010110110110000110001", "0011010000101011011", "0110011111001110000", "01000000000100000101110101010000", "01000001010111110101110000010110", "01000110010110010101111101010011", "0101101101010001010111", "01011101010001000101101001010011", "0110000100000100001011", "01100001001011010010010000110001", "0110010000100110101", "1000010000000110101", "10010001000100101", "100110110", "000000110010000", "000001010010101", "00010010010100100100011101000010", "000100100101110101011011", "000101101101000010", "00100111001001110011111000100011", "00110001", "00110010001001110010001000110111", "01000111100", "01001001011111", "01010001010111110101110001000101", "01010011010100110101100100010110", "0101010101000100", "01010111010000100001001001011001", "010110110101110001011011", "0110000100011001001", "0110000100001101001011", "011000010010011000100", "0110000100111101001011", "100100110101", "100001000011", "10010111100111111", "000100100100011001", "00010100100111101", "0010100100110100", "00101001001010110110110000111100", "00101001001011110011101000110101", "00110010", "00110101001010110011111101110000", "00110111001010110010100001110000", "01000110010110000101011101011111", "0100011101000010010000", "010010010100100011", "01001011000100000101110101010000", "01010000010001010100011000010110", "01010011010100", "01010111000100000101011001010011", "010110100100011", "01011100010111110100011000010110", "01011101010001110101110000010110", "01100001000011110011", "0110011110000111100", "10001", "10010101100110001", "00010010010101000101101101000101", "0010100100100010", "00110010011011100001100000111000", "0011001100101111001", "00110011001001110010111100110001", "001101100010011000100", "00111000011011100010110100111110", "010001011010", "01000001010110010101011001010011", "0100010101011110", "01001010010000", "0101000110101", "01010111010111010101000001010011", "01011011010111100100011001010011", "01011101000100000100000101", "0101110101000010000100", "0101110101010100", "0101110101011101", "0110000101011111", "10011111100110011", "00010010010100100101011100010110", "00010010010101000101011101000101", "00011111000111001", "0010000000111100001011", "00100100001011110011111001110000", "00100100001111010011111101110000", "00100111001110100010100100100010", "00101000001000000011111", "001010000010100", "00101000001011010010110100111100", "00101110001000110010100101110000", "00101110001110110011111001110000", "0011000100111101011", "00110101001110010010001101110000", "01000000000100000101001101011000", "01010001010101010101110001000010", "01010001011111", "0101101001000011", "010110010100100111110", "01011001010110010101110001010001", "01100001001011010010001100100101", "01100001001110100011111000110001", "01100001001111000010100100100011", "0110010000101110000", "0111101100", "100001011001", "000110000", "0000011100000110101", "0000100100101011011", "00010010010100110101101001010111", "00101000001000110010100101110000", "01000001010001000101011101000100", "0100011101011101000100", "01010011010000100001001001", "0101010101010011", "01010111000100000101000001010011", "01011011010001000101101101011001", "010111010101011000010010011", "01100001001110010010010000110101", "0111111101011001", "1001001011", "00010010100110111", "0001001001110001010000", "00100000001111000010100001110000", "00100010001011110010000001110000", "00100011001000100010100101110000", "00100101011011100011101100111001", "00101001001010110011010101110000", "00101001001010110110110000111111", "00101111001010100110110000100111", "00110101001000100011010101110000", "01000010010100010100000001000010", "0100010100100110011", "01000110000100000100010101010111", "01000110010111110001001001010111", "010010000000110001", "01010110010001000100100", "01011011010111110101110001010111", "0110000000101", "0110000101000010", "011000010000000000100", "0110000100001111001111", "011000010011111000100", "10010110100111100", "10010110101110000", "000010010010000", "000100010010000", "0001001001001001", "00010010010001000101101001000100", "00010010100110001", "001001001", "00100000011011100010111", "00100101011011100010001100110110", "00101001001010110010001001110000", "00101110001111010011100001110000", "00101110001111000011100001110000", "0010111100110111011", "00110010001110100010001100100010", "00110010001110100010100100100010", "00110010011011100010111100111111", "00110011001111010011100001110000", "00110101001011110011100000110101", "01000000010101010001001001010111", "0100010110100111001", "01001001011001", "0101001101000110", "010101110100001001000100", "01011101000010", "01100001001000010010001000110101", "0110001001010111", "10011100000111111", "0001001001101001", "0010000000111100001111100", "00101110001111000011100000111000", "00101111011011100001111", "0011001000111101001", "00110010001110100011111000110001", "0011001100100101011", "00110100001111000010100101110000", "0011011000100001011", "01000001000100000101010001011001", "01000010010111000101001101001111", "01000100010101011001", "0100101101000011", "010011100000100011", "01010000010101010101011101011000", "01010011010111000100000101011001", "01010110000100000100010101011111", "010101110101000100", "01010111010111000100101100010110", "01010111010000100101001101011010", "010110011111000110001", "0101110001010000", "01011101010111010101011100010110", "0101111001000101", "0101111101000110", "01100001001011010010000", "01101101000000", "0111000100", "0111001101000101", "000100100101110101010111", "00100010001000010010001000100011", "00100100001111010110110000100111", "001010000010000000111", "00101001011011100010111", "001011010110111000100", "00101110001010000110110000110001", "001011100110111000111", "001100010011", "00110010001001100010010100100000", "001101000010001000111", "01000001010001000100000001010111", "01000001010110010101010101011000", "010000100101000101", "01000010010000100101011101000101", "01010011010101100100011001010011", "01010011010101110101011100010110", "01010111010000100101001101000010", "01010111010101000001001001000001", "010110100111001", "01011010010101010101011000010110", "01011010010101010101110000010110", "01100001000001110010001001110000", "0110001001011111", "0110010001000110011", "0111010101010101", "00000010001000010010000", "000011000010000", "00010010010001000100010101011001", "0001001001111110010111", "00100010011", "00100101011011100010101000111111", "00101001001010110110110000111000", "0010101000101011011", "0010111000111100001001010011", "00101111001011010010000", "001100100110111000011", "00111000011011100010001100110110", "0100010110101110000", "010010100110011", "01001101000101", "0101010101010111", "01011010010101010100101100010110", "01011101010001", "0110100111001", "01100001001111010010010000111111", "0001001001011100010111", "00010010010100110101110101000011", "00010010010110000101011101000100", "0001001001111000010111", "00100000001110100010100100100010", "00101111011011100000011", "00110011001010110110110000100100", "010000010100000001010111", "010000100101010101", "0100001001010101010111", "0100011101000000", "01010001010101010100000100010110", "01010001010101010101011000010110", "01010101000101000010", "01011001010111", "01011100000100000100011001011001", "01011100010101000001001001011001", "0110100100101", "01100001001001100010110100100110", "01100001001011000010100100110101", "01101101010001", "00000", "000100100101111001010111", "001000100011101000100", "00100000001011010010011101110000", "0010100000111101001", "001010000011110100111111", "00101000001111010110110000110001", "00101001001010110110110000110100", "00110011001011110011100000110101", "00110101001000010110110000110010", "0100010101111101010011", "01000110010101010100000100010110", "010001100101011101011010", "01010011010001000101011101000100", "010101000101000101", "0101010100000101000101", "01010111010100", "010110011111000111001", "01011011010100110101001101011000", "01011111010101010100000100010110", "01011111010101010101011000010110", "01100001000001100010100101110000", "01100001001001100010100100110001", "011101000010", "10010000000111111", "10010101100111000", "00010010010001000101101101011011", "00010010010100010100011001000010", "00010010010111110100000000010110", "0001001001100101010111", "001000000010001000100", "0010010000101001001", "00100110011011100011100000111111", "00101000001000010010001000110001", "00101111001001", "00110011001011110011100000111001", "01000000000100000101101101011000", "0100000001010001010000", "01000101011101011000", "01000111010000100101011100010110", "01001001000001", "01010011010111100100101100010110", "01011011010000110001001001010111", "010111000001000001100001", "01011101010111110101", "01011111000100000111", "01100001001000010010101000110110", "01100001001111000010100100100000", "011100000100010", "10010001000111011", "10010111000110101", "1001101010011", "10011010100110101", "00010010010000000101001101000100", "00010010010100010101111001011010", "00100010001000010010000100111101", "00100100001000000011100000100011", "00100110010", "00101000001000000011100000111111", "00101000001011010010110100111110", "00101001001010110010100001110000", "001101000110", "00110101001001110011101000110101", "010000000100011001", "0100000100101", "01000001010001000101001101000010", "01000110010001110101110100010110", "01000111010111100101011001010011", "01010111010100010100000000010110", "010110100101000101", "01011010010100010100010001010011", "01011010010101010001001001110101", "0110000000110", "0110000100010111", "01100101001", "011101000110", "10011101100110001", "10011110000100100", "000101101101011000", "00100000001000000011111101110000", "00100000001000000011010101110000", "00100111001000100", "001001100010000", "00101001001011110011111101110000", "00110011001001110011100000111001", "0011100000111", "0100000101000000010111", "0100010010100110110", "010010100100100010", "0100100100000", "01010000010010010001001001000010", "010100010101110001000111", "0101011101000110", "01011100010100110101111001000011", "01011101010000100100011000010110", "01011111010100010101110000010110", "0110000101010011", "011000010001100100", "01100001001001100010110100100011", "0111101101011110000", "10011110000111100", "101101011011", "000010010100100100", "000100100101111001010011", "00100011001101110110110000100100", "00100100001011010011100000111001", "0010110000111101011", "001011110010100000100", "0011001000101", "00110010011011100010100000110101", "00110101001011110010010100111110", "010000000101001101011000", "010000000101101100", "010001110101110001010011", "01001100010110", "01010001000100000101", "01010001010001000101011101010010", "01010011010000110100011000010110", "01010111010000110001001001011111", "01011010010101010001001001110111", "01011100010101010100000100010110", "01011101010001010100000000010110", "0110000100001100001111100", "01100001001000110010001100100010", "01100001001111000010100100111100", "100101011101010111", "1001001111011", "10011110100100101", "0001000000", "000110010", "00100000001010010010100101110000", "00100011001010110010111", "00100100001111010010100101110000", "00101100001010110010100001110000", "00110100001000000010100000110101", "00110100001010010010010001110000", "0110011111000100011", "010001000011", "010100010101100001011011", "01010011010111100100011000010110", "0101011101011101010000", "01010111000100000100001001000100", "01011100010101110001001001011111", "01011110010100010100011001010011", "01011110010111000101110101000001", "01100001001000110011", "01100001001010100010100100100011", "0110000111010", "0110010000000100100", "0010010111", "0001001001100000010111", "00010100100100011", "00100010001011110010001001110000", "001001000010100000100", "001001000010110100100", "00100100001111000010110100111100", "00101001001010110110110000010010", "00101100001011110010001001110000", "00101110001000000110110000100111", "00110010001110100110110000111111", "00110100001111010011100000100010", "010000010110", "01000110010110010100010001010011", "0100011101000010000", "01001011000100000101001101011000", "01010", "010100010100001001", "0101011101011110010000", "01011010010101010001001001011111", "01011011010101000101011100010110", "0101110001011000", "01100001001000010011101000110101", "01100001001001100010100100100010", "01100001001011110011100000100100", "01100001001111010011100000100010", "01100111000", "011100010110100100011", "0111101001011111", "0000100010", "00010010010000110100011001000100", "00010010010001110101110101000100", "00010010010111110100010001010011", "00010100100110011", "00100011001010110010100100111110", "00100100001110000010100100111110", "00100101011011100001111", "00101001001010110110110000010001", "0010110100111011001", "00101111001110100010001101110000", "00110010001001110010101100111110", "00110011001010110011111100100011", "00111000011011100010010100111110", "01000000010110010101000101010111", "01000111010000100101101101011000", "0101010000", "01010110000100000101110101010000", "0101011001010101010111", "0101011101011100", "01010111010000110101011100010110", "01010111010111100100011001000101", "010111010101011101000100", "01011101010000110100011000010110", "011000010000010100", "0110000100001100001011", "0110010000100110010", "100111100001001", "00001000011", "00010010010000110101101001011001", "00010010010100010001001001010101", "0001001001100010010111", "00100100001111000010110100100100", "00101101011011100010111", "00101111001110000", "001011100010000100", "00101111001010110011111101110000", "001101000110111", "00110101001010110011111000100011", "00110110001001100010001101110000", "010000000110101", "01000001000100000101011001010011", "0100010101011000010111", "01010001010111110101111101011011", "01010011010000100101011000010110", "0101101101011100", "01011111010111110100000101000010", "0110000100101100001111100", "01100001001110100011101100111111", "011000010011111000111", "0110010010100100100", "00000000001010000", "00000000001010000011100000110101", "00010010010000110101011101010101", "00010010010111110101110001010011", "000101000010000", "00100010001010110011111101110000", "00100100001111000010101", "00100100011011100010110101110000", "00100100011011100010000100111111", "0010011000111100001011", "00101000001010110010100001110000", "001011100011100", "0011001100101101001", "01000000010110010100011001011111", "0100001101000011", "01000110010111110001001001010100", "010101010100001001010011", "01010111010111000101", "01011011010101010101011000010110", "011000010001110100100", "01100001001011110010000000111100", "01100001001110010010010000111111", "0110010111100100100", "10011110000100011", "000000100010111", "00010010010010010101011101010111", "0010010000101011011", "00100100001000110010111000110101", "00101001001010110110110000111001", "0010110100100100", "0010110100111110", "00101110001111000010111100110101", "00110001001000100010110100101001", "00110101001001100110110000110001", "0100000001010001", "010000000101010101000100", "01000000010101010100000101000101", "01000001000100000100010101011110", "0100000101000110", "0100010010100111101", "0101001101011110010111", "01010100010100010110", "010110010101100111001", "0101101001000101", "01011100010001000001001001011001", "01100001001110100010010100111101", "01100101", "0111000001011111", "0111111001011111", "1001000100011010101110000", "000011000010011", "00010010010001110101101001010011", "00010010010101000100011101000100", "00100010001110100010100100110100", "00100100001000000110110000", "00101001001010110110110000010011", "00101110001110110010001000100100", "001011100011110100111111", "00101110001110110011100000111000", "0010111101101110001011", "00110010011011100001111", "00110011001001110010100100100011", "01000000010101010001001001000010", "0100010010000111111", "0100100100111", "010010100110101", "0100101100010000010111", "01010011010001000100011001010011", "0101010101000010010111", "01010110000100000101000001010011", "01011010010101010001001001011110", "01011101010001010101110001000010", "01011101010101100001001001010111", "01011110010101", "0101111101010001010000", "01100001001010110010000", "0110010001001110000", "0110010000000110001", "10010100111100", "00010010010100010100001001000110", "00010010010110000101011101010111", "000100100111011001", "0001001001110001", "000100100111000101011111", "00010010011110010100", "000101101101000101", "00100000001001110010001000100011", "001000100011110000", "001001000010001000100", "001001000011011000111", "00100100011011100010001100111110", "0010100100100001011", "00101001001010110110110000110111", "0010111000110111", "00110011001001110010101", "00110100001011110010000", "00110101001111010110110000110001", "00111011001", "01000000010101010101011100010110", "0100010010100110111", "01001011000100000101101101011000", "01010011010111100100000100010110", "01010111000100000110011001011110", "01011011010111100100000101000010", "01011101010111100001001001000101", "0110000101011001", "01100001000001110011", "01100001000011110010000", "01100001001110010010001100100010", "0110001001011001", "1001110010101100111000", "10011110000111111", "0000000000100011001", "00000000001110110011111100100100", "0000100000111010011", "00010010010000100101011101011010", "0001001001111110", "000101010010000", "00100100111", "00100000001010000011100000110101", "00100110110", "00101000001000000010111100111100", "00101111001010100110110000110011", "00101111001110100110110000", "0100000001011010", "01000001000100000101110101011000", "010001000101000101", "01000110010110000001001001010111", "01000111010000100100", "01000111010100", "01010111000100000100000101011001", "01010111010100110100011001011111", "01011010010100010100000100010110", "01011010010101010001001001010001", "01011100010101000001001001011111", "01011110010001010101", "01011111010100010101101101011000", "01011111010111110100000001010011", "01100001001011110010101000100100", "0110011001011001", "011101010010", "0111101001010101000100", "0111111101010101", "10001110000", "100101011101010010", "10010000000101001", "000010100100111110", "0001000110001", "0001001001010010010000", "00100100001111000110110000111001", "001001110010100000100", "001010000010100000101", "00101001001010110110110000011110", "00110010001010110010000", "00110011001010110010100101110000", "010010010100110101", "010100000100010110", "01010001010111000100011101010010", "01010011010000100100011000010110", "01010101010100010101101101011000", "0101110001011010", "01011100010101000001001001000001", "01011101010111100001001001000001", "01100001000110000", "0110000100111101001001", "01100001001111000010100100110001", "0110010000000111100", "0110011001011111", "0111111001011001", "1001011101", "00010010010001110101101001011001", "00010010010100010101010001000010", "00100010001000010010001000110100", "00100100001000100011010101110000", "00100100011011100010010000110101", "001010010011", "001010010011110000100", "00101000001000100010000001110000", "0010100100111010011", "00101111011011100000000", "001101011111", "00110001001111000010100100100011", "00110010011011100010110100111100", "00110010011011100010111000110101", "0011111101110000", "0100001001000010", "01000110010110000101011101001111", "0101010001000101", "01010100010110010101111001011011", "01010111000100000101001101011010", "01010111010001100101011101011000", "01010111010111010101011101011000", "01011001010101010101011000010110", "01011010010101010001001001111000", "01011100010101000100000100010110", "01100001001000110010110100111110", "01100001001010000010001100100101", "01100001001011110110110000110011", "01110011000100", "011101011011", "111101000011", "000011010010111", "00010010010001110101110101000011", "00010100000111", "000101011101010111", "00100100011011100010100000110101", "00100101011011100010110100100011", "0010100000100011011", "00101001001010110110110000000101", "00101100001010110011111101110000", "001011100011111000100", "00110010001110100010110100100100", "001101010110111000011", "00111000001010110010110100100010", "01000001000100000101000001010011", "010001100100001001011011", "0101001101011101", "01010111000100000101101101000101", "010110010101100110001", "01011011010111100101000101011010", "01011100010101000101011101010010", "01011101010000100100011001011110", "0111000100010", "1001001100110", "101101010011", "0001100100", "00010010010101010100010001010011", "000100100110000001010011", "0001001001111000", "000100100111110101", "00100000001000100010000000110101", "00100010001000100011100100110100", "0010010100111100", "00100101001010110010111", "0010100100111100", "0010100000110100", "00101110001110110011111101110000", "01000000000100000100011001011001", "01000000010100010100011001010011", "0100000001011101", "01000110010110000101101101000101", "01000111010000110101011100010110", "010011110000111111", "0101000001010111", "010100010101111101010011", "01010100010111110100000001010011", "0101100001011111", "01011010010101010001001001011001", "01011011010111010101011100010110", "0101110001000000", "01011101000100000101000001010011", "01011101010001010100011001011110", "011000010000001100100", "01100001001000110010010100111100", "01100001001000010011111001110000", "011101000000", "00001110000111111", "00010010010000110101011101000100", "00010010010111110100011101000010", "00010010011000110100011001010111", "0010010100100", "00100100001111000010001001110000", "00100100011011100010000100110001", "00100101011011100010110100100100", "00101000001000100010100101110000", "00101000001110100010100100110100", "001010000110111", "0010101000111101011", "00101110001000000110110000111001", "00110011011011100010010100111110", "00110101001011", "00110101011011100001111", "01000000010111010101001101011000", "01000001010001000001001001011001", "01000110010000110001001001010111", "01000110010111000100101100010110", "0101001101001111", "01010011010110010101110001000101", "01010111000100000101111101010111", "01010111000100000101111101011001", "010111010101001101011000", "01100001001000100010110100100100", "01100001001110100010010001110000", "011101010101", "01110011010001010100000101000010", "100101101101000010", "10011101100111001", "000001100010101", "00010010010110000101001101000101", "00010010011000100", "00100000001011010011100000111001", "00100000001111000011100001110000", "00100100001000110010100100111110", "00100100011011100000100", "00101000001000000010100100100011", "00101000001110000010100100100010", "00101101010011", "00101101001011110011100000110101", "00110010001110100110110000100100", "00110100001011000010000", "00110100001111010010100101110000", "01000000010101010101001101000010", "0100010010100111100", "01000101010110000101110100010110", "010001110101000101", "0100101010", "010011100100111100", "01010100010101100101101101010101", "01010101000100000100011001011001", "010101100101000101", "01010111010100010100", "0101101001010101010111", "010110110100101001", "010110110101000101", "01011011010111000100", "0101101101011110010111", "0101110000010000", "01011100010001000101110100010110", "01011100010101000001001001011110", "010111100101110001011011", "0110010001000110101", "0110010010100100011", "10010001000111100", "10011100000110011", "000100100110010101", "00010010011110000101011100010110", "00010010011110010100011000010110", "00010100011001000010", "000101100010111", "00011100100111101", "0010001000110111", "00100100001010100110110000111000", "00100100001011110010100001110000", "0010100100110101", "00101000001011010010100101110000", "001011000011101", "00101110001000000110110000100011", "00101111011011100000101", "00110010011011100011101100111000", "0011010000100011011", "0011010000111110011", "00110101001111000011", "0100000100010000011111", "01000001000100000101001101011010", "01000001010111000101", "01000110010001000101111001010011", "01010011010111000101111001010011", "0101101101010000", "01011011010111000101011100010110", "010110110101111000010010011", "0110000001010011", "01100001001011110110110000100000", "01100001001011110110110000111101", "0111101101000100", "011111000111111", "10010001101110000", "10010000000100011", "10010010100111100", "10010111000111100", "00000111001111", "0000000000111101011", "000000110010101", "0001001001110110010000", "000100110010101", "00100000001000000011100001110000", "0010010100111110", "00100100011011100011111100111111", "00101000001010100010100101110000", "00101010001001110010001000110111", "001011010110111000111", "00101111001011010010000000100101", "001100100010011000100", "00110010001010110011111101110000", "00110010001111100010100100110011", "00110011001000100", "00110011001000110010110100111110", "00110101001001100010010100100011", "00110101001001100010100100101001", "0100000001011110000", "010000100100001001010111", "0101000001000100", "01010110000100000101001101000010", "0101011001010111", "0101011101000000010111", "01010111010000100001001001011111", "01010111010000110001001001000001", "01101001", "0110000100011101001", "01100001001011110011110000100000", "01100001001111010010100100110011", "101100010110", "000001011010", "00010010010001010100000101010011", "00010010010100100101011101010101", "000101001101011000", "00011111100110001", "00100100001000000011100000110101", "00100100001000000010100000110101", "00100100011011100010110100111100", "00100110001011110010010100111110", "001001110110111000101", "0010100000101001001", "00101100001000010011111000110101", "00101101001000100010001100100111", "00101111001010010110110000100111", "00101111001010100110110000111000", "001101000010101000101", "0100000001010001010111000101", "01000000010100010101111001011111", "0100000101010101", "010010011100110101", "0101000101010101010000", "01010001010110010101001101011010", "01010011010001000101011101000101", "01010111000100000101001101000100", "01010111000100000101011001011111", "01011100000100000100000001010011", "01011100010101110001001001000001", "01011101000100000101101001", "01100001001011000010100100110011", "0111000111111", "1001100001", "000100100010101", "000100100010111", "0001001001000010010111", "00010010010111110100011001011110", "000100100111101001010011", "00100100001000000010100001110000", "0010010000111100001111100", "00100100011011100010010000111001", "00101000001000000011111100100100", "00101110001001", "00101111001010010110110000111001", "00111000", "00110110001000010011111000111011", "010000100100001001011011", "01000100010101010100000001000101", "010001100100001001000111", "01000110010101010100000001000101", "01001101011011", "01010011010000110001001001000101", "01010011010101000101011100010110", "010100111100", "0101010001010011", "010101110100000101000111", "01011101010001010100000100010110", "0110000100000101", "011000010000110000100", "01100001000111010010111", "01100001001010010011111000111111", "01100001001111010011100000111111", "0110010101011111", "011111110101000101", "10100101001", "000011000010101", "00010001001111", "00010010010000000101110101000101", "00010010010000100101011101000110", "00010010010000100101011101011011", "00010010010111000101001101000010", "001001110110111000011", "00101111001010100110110000111001", "00110010011011100011101100111001", "0011001100100000011", "00110011001000010011100100110111", "00110111001001110010001000110111", "00110111001010110011111000100011", "01000000010101010100000100010110", "01000000010110010101011101000101", "01000000010111110100011101010001", "01000001000100000100010101011111", "0100000101011000010111", "01000101010111110100011101011010", "010010110100111110", "01001011000100000100011001011001", "01011001000100", "010100010101111100010110", "01010011010000100101000101011110", "01010011010100100101111001010011", "01010110000100000101000101011001", "0101011000010000011111", "0101011101010001010111", "01010111010101000001001001011110", "01010111010101000001001001000101", "010110100111100", "01011010010101010001001001111011", "01011011010001000101011100010110", "01011011010111000101111000010110", "01011101000001", "01011110010111000101011101010010", "01100011", "01100001000001000011", "01100001001101110010100100110001", "0110010111000111100", "011001110101111001", "1001010001", "1001011000", "100100110", "10010101000111001", "000100100111010001010111", "00010010011100100100000001011111", "0001001001111010010111", "000100110010011", "0010101000101011001", "00100000001111010010100100110100", "00100000001111000010111100111000", "0010010000100011011", "00100100001111000110110000100111", "00101000001000010011", "00101110001111000110110000110001", "00101111001111010110110000110001", "00110011001010110010110100100100", "00110100001111010010100100110100", "001110010110111", "0100000110001", "01000001010001000101110101000100", "0100001001000000010111", "01000101010100010100101100010110", "01000110010110000100000001010011", "01010001010100010101110000010110", "010101010101111001", "0101010101000101011001", "0101011001010001010111"], "merges": [["0", "0"], ["0", "1"], ["1", "1"], ["1", "00"], ["01", "01"], ["01", "00"], ["01", "11"], ["100", "00"], ["100", "1"], ["00", "11"], ["01", "1"], ["00", "0100"], ["00", "0101"], ["100", "11"], ["00", "1"], ["0101", "11"], ["01", "10000"], ["100", "100"], ["0101", "1"], ["00", "00"], ["0100", "11"], ["01", "1001"], ["0101", "0111"], ["1", "0"], ["100", "10000"], ["0100", "00"], ["10011", "11"], ["0100", "0100"], ["0101", "0011"], ["001", "0111"], ["0100", "1"], ["00", "0111"], ["0101", "0101"], ["000100", "1001"], ["01011", "011"], ["11", "11"], ["011", "0111"], ["0101", "00"], ["0111", "11"], ["01", "100"], ["01", "0"], ["0100", "000100"], ["00", "100"], ["0100", "000101"], ["1", "011"], ["00", "10000"], ["010111", "000101"], ["001", "0"], ["10011", "1"], ["100100", "0100"], ["0100", "011001"], ["00", "10011"], ["00", "10010000"], ["00", "0011"], ["0100", "0101"], ["0011", "0011"], ["0101", "000101"], ["00", "000101"], ["0110000", "11"], ["1001", "0111"], ["0110000", "10000"], ["100", "0"], ["00", "01"], ["01011", "01001"], ["010111", "11"], ["0111", "0000"], ["010000", "000101"], ["010011", "11"], ["011", "0101"], ["0100", "0011"], ["00", "100100"], ["0100", "100"], ["010111", "1001"], ["10000", "11"], ["001", "011"], ["01011", "0"], ["010111", "0101"], ["0100", "0111"], ["1001111", "11"], ["0101", "1001"], ["00", "1001"], ["0110000", "1"], ["0110000", "100"], ["000100", "000101"], ["01", "10011"], ["001", "0100"], ["1011", "0"], ["0011", "0101"], ["0111", "000101"], ["0011", "010100"], ["1001111", "100"], ["011", "0"], ["0110000", "100111"], ["000100", "1"], ["000100", "10010000"], ["00100100", "0110111"], ["01001111", "10"], ["011", "011"], ["0110000", "100100"], ["000111", "11"], ["0111", "00"], ["0111", "10"], ["0011", "00100"], ["0110000", "1001"], ["0100", "100100"], ["100", "1001"], ["01", "100100"], ["0101", "1000"], ["0101", "0100"], ["000100", "1001000100"], ["10011", "10000"], ["0011010100", "10011"], ["001", "0100000100"], ["0010000", "000100"], ["0010000", "000111"], ["000100", "10011"], ["0101", "01000100"], ["010000", "1001"], ["0100", "10011"], ["0010111", "0000"], ["010011", "10000"], ["00", "000100"], ["1001111", "10"], ["000111", "0000"], ["000101", "10"], ["0010111", "1001"], ["0010010000", "1111"], ["010111", "01010111"], ["0111", "001"], ["0100", "010100"], ["010111000101", "10"], ["0110000", "1111"], ["0011", "0010011"], ["011100", "0"], ["0100", "0000"], ["0100", "0010"], ["0110000100111", "01000100"], ["00000101", "10"], ["000101", "1"], ["0110111", "0000"], ["0010111", "000111"], ["010000", "0111"], ["01100", "01"], ["011111", "1"], ["010111", "000100"], ["0100", "01010111"], ["0010100", "1001"], ["10000", "10110"], ["0101", "011001"], ["001001", "01011"], ["0010111", "000100"], ["0101", "011000010000"], ["1000011", "0101"], ["0010010000", "1"], ["0110000", "10110"], ["01", "10010000"], ["0101101001", "010011"], ["000101", "00101110000"], ["011000011", "0001"], ["0100", "1001"], ["01010111", "000100"], ["0110000", "10010111"], ["0010111", "1"], ["01011", "010"], ["010000", "10000"], ["000100", "100100"], ["0011", "0111"], ["010000", "000100"], ["0100011001", "01100001"], ["1001111", "00"], ["001", "0100000111"], ["001", "0101"], ["000101", "11"], ["011", "0100"], ["0001110000", "0111000"], ["010111", "10000"], ["0001001001", "011111"], ["01100", "0"], ["1", "010011"], ["01010111", "000100000101"], ["0001001001", "011001"], ["100100", "100"], ["0101101001", "010101000100"], ["00101111", "0110111"], ["011", "010"], ["10011", "0101"], ["001", "0100000101"], ["00101001001", "01011011"], ["0110000100", "10011"], ["0100", "01010101"], ["00100", "0100"], ["0110000100", "011"], ["0001001001000100", "0101101001010011"], ["01001", "011"], ["1001", "010111"], ["011001", "011110"], ["0100100", "011"], ["100", "10011"], ["011000010011101000100", "10000110101"], ["00110010011", "0111"], ["1001", "010011"], ["0101", "1000010110"], ["0110000", "10010000"], ["0100", "011000010000"], ["0100", "10000"], ["0101", "01"], ["010111", "01000100"], ["010111", "0000010110"], ["100111111", "01110000"], ["01", "100111110"], ["010001100101100001", "01011100010110"], ["0100000100", "0100000101"], ["01010011", "01000100"], ["001101010010011", "00010100101110000"], ["0101", "0100000100"], ["0011", "01100"], ["0101110101", "0000"], ["100100", "01001110000"], ["001011", "01001"], ["01000011", "10000"], ["00110101", "0110111"], ["00100101011", "0111"], ["0001001001", "010111"], ["0101", "000100"], ["0110000", "10011"], ["00", "0110101"], ["1000011", "10000"], ["000011", "10000"], ["00", "011"], ["0110000", "1001111"], ["001100100", "0111"], ["01001111", "00"], ["0101", "0010"], ["001", "01100001"], ["010111", "00000100"], ["00011111", "1"], ["10011", "0001"], ["01100001111", "11"], ["10000", "1"], ["0011", "01000011"], ["00010010010000", "11"], ["010111", "00"], ["0100", "010110"], ["0011", "01010011"], ["01001", "01100"], ["0100100", "010"], ["0011", "10000"], ["01001", "01110000"], ["0100011001", "011001"], ["100100", "10000"], ["11", "0101"], ["010111000101", "0111"], ["0101", "01010111"], ["010000", "10010000"], ["1", "01011"], ["0100011001", "011111"], ["1001111", "1001110000"], ["010111", "100100"], ["10010000", "10"], ["000100", "011001011110"], ["100111", "0100"], ["00100100001", "01010011"], ["01010111", "0000"], ["010111", "01010101"], ["1", "01001"], ["01100100", "010"], ["0011", "000100"], ["000101", "0111"], ["0010111", "000101"], ["00110011", "0110111"], ["011000011", "1001"], ["0011", "1000011"], ["0100", "01"], ["0101", "0100000101"], ["10000", "100"], ["0100", "10"], ["01010011", "0101111001"], ["01011011", "0101111001"], ["00", "0010"], ["0111000101", "1"], ["1001000100", "0110100"], ["0010100000100", "00000101"], ["01100", "010110"], ["000100100100", "0111"], ["00010010010000", "10"], ["01000100", "100"], ["01010101", "0000"], ["0010010000", "10000"], ["000011", "11"], ["01010111", "01000011"], ["000101", "0011"], ["011001", "010011"], ["00110011", "001"], ["1001111", "01"], ["0101110101", "011000"], ["01100", "1001"], ["1", "01"], ["0100000100", "010110"], ["0001001", "0100111110"], ["0001001001", "010011"], ["0111", "011"], ["00110011", "0011"], ["010000000101", "1111"], ["000111", "0110011"], ["0010000000100", "00000101"], ["0100", "001011"], ["0100", "011"], ["10011", "1001"], ["0000", "100"], ["0001001001", "010001010111"], ["001001", "01001"], ["0100011001", "011110"], ["100100", "010"], ["01010011", "01000011"], ["0100000101", "000100"], ["01010111", "01000100"], ["010100", "000101"], ["0010010000", "11"], ["0111000101", "11"], ["010111", "0000"], ["10000", "1011"], ["001101000011", "11"], ["10011", "1000"], ["01011011", "01000100"], ["010000000101", "0011"], ["01011001", "0100001110000"], ["0001001001", "0111"], ["000101", "0010"], ["01011100", "000100000101"], ["010000000101", "1001"], ["100100", "0101"], ["010000000101", "0101"], ["010111", "010100"], ["10010010000", "10"], ["00101111001", "01010011"], ["0101000101", "0111"], ["000100", "1001111"], ["1001000100", "0110111"], ["0100000100", "0100000100"], ["0010000", "000101"], ["000100", "11"], ["011000011", "0110"], ["010111000101", "0001"], ["010011", "0011"], ["000100", "0110011"], ["011000011", "0011"], ["0101", "01000101"], ["01011011", "01011000"], ["1001", "01010011"], ["01010111", "00010110"], ["00", "100111"], ["00100100", "010"], ["000100", "000100"], ["010111000101", "0011"], ["0100", "0111111"], ["0100", "0110010000"], ["0101101001", "011001"], ["00110011", "0010000"], ["01011011", "01000011"], ["0011", "0100"], ["01000100", "1010011"], ["0000", "0000"], ["0010111000101", "000011"], ["01010111", "01010100"], ["10010000", "11"], ["0001000110011", "0110"], ["00110101", "1000"], ["000111", "001"], ["01010111000100", "000100"], ["011", "0110101"], ["00", "0110001"], ["100101010011", "10000"], ["0100", "01011"], ["01010100000101", "10"], ["011000011", "0010"], ["1001", "011111"], ["011000010010000", "10010101001110000"], ["0010011", "1001"], ["010111", "0100010110"], ["0101000101", "011111"], ["0001001001011111", "0101010000010110"], ["001", "01001"], ["1011", "01011000"], ["00100", "011001"], ["001000000010000000101", "00001110000"], ["0010111", "100111"], ["00000101", "0011"], ["010000", "10010111"], ["010100110101111001", "01011000010110"], ["00", "001"], ["0100001011", "0"], ["00100100001111", "00011"], ["010111", "10010111"], ["001011", "010011"], ["0000", "10000"], ["01000101", "0000"], ["000101", "010010011"], ["00100111", "0110111"], ["0010010000", "100"], ["0101101001", "011111"], ["011001", "011111"], ["001100100", "010011"], ["011000011", "1000"], ["01100001001", "011"], ["000100", "010110"], ["01010100", "010110"], ["0110000", "1001111100"], ["1111", "11"], ["00101111001", "01001011"], ["00110011", "0010101"], ["01010111", "01000010000"], ["01000100", "1"], ["01010101", "01011000010110"], ["011000010000", "0"], ["001101010011", "11"], ["0101", "100100"], ["1001111100", "0110101"], ["001", "0100100"], ["00111000011", "0111"], ["01011", "01000010000"], ["000100", "100"], ["0010111000100", "000011"], ["0100", "0110"], ["01011011", "01010011"], ["0100", "01100100"], ["001011", "01011"], ["0000", "0110101"], ["011001001", "01"], ["0101", "0000"], ["010111", "0101000101"], ["010111000101", "11"], ["0101111001", "011001"], ["01011101010101", "10000"], ["011000010010111", "10010001000110100"], ["10011", "0100"], ["000111", "100"], ["0010100000100", "000011"], ["0110000", "1011"], ["01", "100111111"], ["0001001", "01"], ["01000100", "01010101"], ["0010111", "10010000"], ["01011110000", "10000"], ["01011011", "01011110000"], ["001010000010000000101", "01101110000"], ["0001001001010001010111", "0001010010"], ["01000000", "000100000101"], ["01010111", "0100001001"], ["000100", "100111"], ["01011111", "01010101"], ["1001", "011001"], ["0011", "0111001"], ["00100100001", "0111"], ["100", "011"], ["00110101", "0010101"], ["0001110000", "0111111"], ["01011", "01000010110"], ["0010100", "10010111"], ["01000000", "00010110"], ["0110000100", "0111"], ["01000111", "01000100"], ["010110110101111001", "01010100010110"], ["000101010010011", "00010100101110000"], ["0110000100", "010"], ["0101110101", "000100"], ["01001111", "01"], ["00101001", "0110111"], ["01011011", "01011111"], ["0010100100", "10011"], ["1000011", "0001"], ["01010111", "01010010"], ["0101", "10010111"], ["10011", "100001110000"], ["0011010100", "100001011"], ["01011001", "011"], ["010100", "01"], ["0011", "0001001"], ["011001", "011001"], ["0100000101", "011001"], ["01011101010111", "10000"], ["01010111", "0101000101"], ["011000010011", "1001001"], ["011000010000", "11"], ["010000", "100100"], ["010111", "10"], ["01100001111", "01"], ["110101", "010000"], ["0100011001", "010011"], ["0101111001", "011111"], ["00110101", "001"], ["00000100", "010110"], ["0100100100", "010"], ["0010111", "00110111"], ["01010011", "01011000"], ["1001110100", "0110101"], ["0110110101", "1000"], ["00100", "01000111"], ["0101101001010101000100", "1001"], ["0100101100", "0100000101"], ["0111", "0011"], ["010000000101", "0111"], ["0100", "100111110"], ["0100000101", "011111"], ["011000010011101000100", "01101110000"], ["0100", "011000010110"], ["01000111", "001"], ["01010111", "01010100000100"], ["010111000100", "0010"], ["01010011", "01000101"], ["0010000000111", "101011"], ["00101101001", "0111"], ["00100100001111", "01011"], ["001001000110111", "000100"], ["0101", "1001111100"], ["000100100100", "0101"], ["0101", "010011"], ["011000011", "0100"], ["0101", "10010000"], ["1", "01110000"], ["011001", "011"], ["0001001001000100", "0101110100010110"], ["0001001001011001", "0101110000010110"], ["000101", "1111"], ["001100110011", "11"], ["010111", "10010000"], ["011000010010011", "10010001001110000"], ["001011", "0100100"], ["01", "1001000100"], ["001011", "010010011"], ["010111000101", "0100"], ["000101", "00"], ["100111111", "0011"], ["100100", "011"], ["0010100100101011011", "0110000"], ["010011", "0100"], ["01010101", "010011"], ["100100", "01100111110"], ["010111000101", "0101"], ["01010111", "01010011"], ["010111000101", "0100000100"], ["00110011", "0010011"], ["0001001001", "010100"], ["100111111", "00100100"], ["0010011", "00110111"], ["0011", "010000"], ["001101100", "010011"], ["01010100", "01011111"], ["01011011", "01011001"], ["0001011", "0100111110"], ["01011011", "01010101"], ["010000000101", "11"], ["01000000", "000100"], ["01100001001", "0100000100"], ["011001", "0111"], ["0100", "10010000"], ["01010011", "0100001001"], ["01010101", "000100"], ["100", "1001111"], ["0001001001", "01100001"], ["00010010010000", "01"], ["00010010011", "100"], ["000101", "1001"], ["10000", "111111"], ["1001110000", "0110101"], ["0101110101", "0010"], ["0101", "011011"], ["00100", "01000101"], ["0010111", "10010111"], ["000101", "011001"], ["1001001", "010111"], ["0100", "011111"], ["0010000", "00110111"], ["00011111", "000110101"], ["010100", "000100"], ["1001110000", "0111001"], ["0000", "0111"], ["010111000100", "0011"], ["00100100", "01001110000"], ["00010010011", "00100"], ["01100001001", "0101"], ["01010111", "01000101"], ["0110000", "00100"], ["01", "100111101"], ["0110000", "100111100"], ["011000010010111", "1011"], ["0001001001", "010000"], ["0001001001", "01000100"], ["010111000100", "0100"], ["01110001011", "0100111110"], ["011000010011", "100100"], ["010001010101", "000101"], ["0010011", "10010000"], ["01010111000100", "000111"], ["0011000100", "1111"], ["01000100", "011"], ["0000", "0111111"], ["001000100", "010011"], ["001", "01100"], ["010111000101", "1111"], ["01000101", "00101110000"], ["010010011", "0100"], ["0000", "0111001"], ["0101", "10011111001110000"], ["010111010100", "0011"], ["001001000110111", "000101"], ["0011", "1"], ["0101101001", "010111"], ["01010101", "0101"], ["0010011", "0001"], ["00101100001", "0111"], ["0010111", "1001111"], ["1001001", "01"], ["01011011", "01000010"], ["0100100100", "011"], ["00110011001", "01011011"], ["01010011", "01011010"], ["001101100", "010111"], ["0101110101", "1000"], ["0101011001", "011001"], ["011000011", "0101"], ["010101010000", "0000010110"], ["0010111000100", "00000101"], ["10011", "0011"], ["1001", "010000"], ["0100010100", "100100010"], ["1001", "011011"], ["0001001", "0100100011"], ["010100", "0011"], ["0010100", "10010000"], ["010011", "0110000"], ["01", "1001111"], ["0101000101", "011001"], ["01010111", "010111100100"], ["00", "010"], ["0000", "00100"], ["0001001001", "0100010100"], ["010111000101", "1001"], ["0001001001", "010101"], ["0001001001", "01001001"], ["01010011", "01011110000"], ["00", "0010100"], ["010001001010011", "1111"], ["0100010100", "100110100"], ["01011011", "01010111"], ["010101000101", "1001"], ["00010010011", "00011"], ["01100001111", "00"], ["0001001001", "011110"], ["01100001001011", "0100100"], ["1001", "011"], ["0100", "0110101"], ["001", "01"], ["0100000101", "000010"], ["01000100", "10000110101"], ["0101000101", "000100"], ["010010011", "0"], ["0010111", "10010011"], ["01010011", "01000010"], ["0010011", "0011"], ["010111000100", "0101"], ["0101", "001"], ["0010010000", "1011"], ["010011", "01000010"], ["1001", "011010"], ["1000011", "1001"], ["0010000", "0001011"], ["00101101011", "0111"], ["0001110110011", "0001"], ["1001000100", "0110101"], ["0010000000100", "000011"], ["0110000100111001001", "011"], ["0011010000", "100"], ["010100", "0010"], ["010000000100", "0011"], ["1001", "0101"], ["0100101100", "0100000100"], ["01011111", "01011111"], ["011000010000", "1111"], ["010000", "011111"], ["0111", "1111"], ["010001", "1001000100"], ["01010111", "01010101"], ["01001", "0111"], ["0011", "01000010000"], ["10010111", "10"], ["0000", "1001"], ["0101", "01100100"], ["001001", "010010011"], ["0100011001", "010111"], ["010000000101", "000101"], ["0100011001011001", "0101110101011000"], ["0100", "010"], ["000100", "100111111"], ["0100000101", "010011"], ["001001000110111", "00011111"], ["00101100", "0110111"], ["0011", "0110000"], ["0010111", "0011"], ["01100001011", "011"], ["00", "001011"], ["000011", "1111"], ["001101010010011", "10010001100111110"], ["0100011", "010101110000"], ["10010000", "01"], ["0010000000100", "11"], ["001001000110111", "00010111"], ["000101", "001"], ["0010100000100", "0010010001001110000"], ["010001010101", "1001"], ["0100001001", "011111"], ["01010011", "01010011"], ["1001110000", "0111000"], ["1001111100", "0100100"], ["000011", "0000"], ["0001001001", "010110010111"], ["0010100000111", "101011"], ["00100", "011"], ["01010011", "000100000101"], ["00110010011", "0111000101"], ["01011100000100", "000111"], ["000111111", "01110000"], ["0101101101011111", "0101110000010110"], ["01", "100111"], ["00100100", "011"], ["0001001001", "011011"], ["001100110011", "1"], ["010011", "0111"], ["01000111", "01000011"], ["001100100110111", "000100"], ["01000110010000", "11"], ["001011", "010010000"], ["0010100000101", "1"], ["01000100", "01010011"], ["0010011", "00010011"], ["0110000", "000100"], ["01", "100111100"], ["0101110101", "011011"], ["0010100000111", "1"], ["01100", "01001"], ["0100000101", "000101"], ["01011111", "01011001"], ["00010010011", "10011"], ["0111", "01"], ["001011110110111", "00011100000111000"], ["0100", "1001000100"], ["00101111001", "0101"], ["0100000101", "000011"], ["000100", "0101"], ["0101", "0110010000"], ["0001001001", "0111000101"], ["001001", "010011"], ["100100", "0110"], ["0010100000101", "11"], ["000101", "1011"], ["0011010100", "10000"], ["00101111", "01101110000"], ["01010111", "01011000"], ["01010111", "0101111001"], ["01010111000100", "000100000101"], ["10011", "0"], ["01011", "0100100"], ["01010101", "000100000101"], ["01", "10011111101110000"], ["0001001", "01100010110"], ["010011", "0110000100100"], ["0010111000111", "100011"], ["10010000", "0"], ["00010010010000", "1001010111"], ["100111", "0111"], ["0011", "00010110"], ["000101", "00100100010"], ["0111000101", "10"], ["01011100000100", "000100011001011110"], ["00110011", "0010111"], ["01010111", "11"], ["10000100", "010"], ["0001011", "0100100100"], ["0101110101010110000", "1001001000010"], ["01011101010111", "1001"], ["0110000100111001001011", "0100100011"], ["0010011", "0100"], ["01100100", "100"], ["001011010011", "0111011"], ["010001100100", "0101"], ["0010000", "0011"], ["0110000", "000011"], ["001001010110111", "000100"], ["0110000100111100", "0010100"], ["0010010000101010011", "0110000100100"], ["00110101001", "010110010100001110000"], ["01000101", "1001"], ["01010101", "01010101"], ["010111000101", "0010"], ["10011", "100"], ["00", "0110111"], ["01000101", "01011111"], ["00100", "01000100"], ["01010011", "01011001"], ["010001010101000101", "00000100010110"], ["01000100100", "01110000"], ["0010111000101000011", "0110000100100"], ["1001111100", "0111001"], ["01100001111", "10"], ["011001", "010111"], ["0001001001", "010010"], ["1", "010"], ["10010000", "000111100"], ["00000101", "1001"], ["0101111001", "010011"], ["0010011", "000101"], ["00101001001", "0101"], ["010011", "1111"], ["0010111", "10"], ["0101110101", "000111"], ["010000000100", "0101"], ["1001000100", "0110011"], ["0110011", "0101"], ["0001001001", "01011001"], ["0001001001000111", "0101001101000101"], ["01110000", "0110101"], ["0010000000111", "100001"], ["001001000110111", "000111"], ["00110101", "0010111"], ["01010100000100", "000100011001011110"], ["01000101", "010011"], ["001101100010111", "10011111101110000"], ["011111", "0"], ["100111111", "00100011"], ["0100011001", "0101010101011000010110"], ["0101000101", "0000"], ["01001", "0100101110000"], ["01100001001", "01100001"], ["001001010110111", "00011100000111000"], ["001", "011000010000"], ["010000000101", "01010101"], ["01010111", "01010111"], ["0100001001", "010011"], ["01011101010000", "1001"], ["01000111111", "01110000"], ["100100", "01000100100"], ["0110011", "0001"], ["000100", "0010"], ["0001001001111", "1"], ["0011000100", "10000"], ["01010011", "01011100"], ["0101011101010100000100", "1001000010"], ["0101011000010000", "0100011001011110"], ["01100001001", "0101000101"], ["01010011", "01010100"], ["0100", "010000"], ["01100", "100111"], ["1001", "0100100100"], ["010111100100", "1001000100"], ["100100", "100100"], ["0010011", "10010011"], ["001000100", "010000"], ["01100100", "011"], ["01010011", "00010110"], ["0010111000111", "100001"], ["00110101001111", "01011"], ["000100100100", "0110"], ["00", "1001000100"], ["001001000011", "1"], ["001001110110111", "00011100000111000"], ["0011", "11"], ["0100001001", "011001"], ["001001000010000", "000111"], ["0101101001", "0100010100"], ["0100", "0110001"], ["01011101010000", "10000"], ["0000", "1001010011"], ["100111", "0101"], ["0111", "100"], ["01110001011", "0101110000"], ["0000", "0011"], ["01011111", "01010011"], ["0101110101", "010011"], ["01100001111", "100"], ["0010000000100", "010011"], ["01010101", "00000101"], ["0101", "010111"], ["0100100100", "01110000"], ["011000011", "0111"], ["00101111001", "011"], ["011000010000", "1"], ["1001111100", "0100011"], ["0010011", "000111"], ["0101", "011000"], ["100111111", "00110101"], ["0000110000", "0111000"], ["001", "01010011"], ["01000100", "01011001"], ["010011", "1001"], ["0110000", "010001"], ["00100101011", "0111000101"], ["01011111", "00010110"], ["01011100000100", "000100"], ["0001001", "0100100100"], ["01000111", "0101111001"], ["1001000011", "1001"], ["0101111001", "011010"], ["01100001001", "011000011"], ["100100100", "011"], ["1001111", "0000100"], ["0000", "0110001"], ["0101011001", "010011"], ["011100", "000100"], ["01011111", "0101000101"], ["0110011", "10000"], ["0111", "1011"], ["00", "0110100"], ["00001", "0100101110000"], ["0110000100011", "0100010010000110101"], ["010000", "01"], ["01010111", "01000010010000"], ["001000100", "010111"], ["00100101011", "011100010111"], ["0001001001010110010111", "0101000100"], ["0101", "01010011"], ["0101111001", "010111"], ["01000000", "000100000100"], ["010001001", "0100111110"], ["100100100", "0101"], ["00", "100111110"], ["010000000100", "0100"], ["010000000101", "1011"], ["01010111", "01011110000"], ["01001", "01001"], ["010111", "1001000011"], ["10000", "10000"], ["0001110110011", "1001"], ["01010011", "000100"], ["0110000", "010011"], ["1001001", "0100111110"], ["0110011", "00101100001"], ["01001001", "01"], ["00010010010000", "000100"], ["010010000", "0"], ["01010101", "00000100010110"], ["1001111", "000011"], ["00101101001", "01011011"], ["0101011101000010000", "1001001"], ["011001", "0100101110000"], ["001", "011000010011"], ["00110001001", "0111"], ["001101010011", "1"], ["0101110101", "010000"], ["0100", "01011111"], ["000011", "100"], ["00100100", "10000"], ["0010011", "0101"], ["1001", "010100"], ["10010000", "101110000"], ["100100100", "010"], ["0100011001", "011000000100"], ["0111", "01011000"], ["0001011", "0101110000"], ["01011011", "01010100"], ["00000100", "010"], ["00110010011", "01110000"], ["10010000", "001110000"], ["0001001001", "01010001010111"], ["001001000110111", "0000"], ["001101010010011", "0011"], ["0001001001100100", "0101101001010011"], ["0001001001", "0101000101"], ["010000", "1001000100"], ["0101100100", "01000100100"], ["0111", "01000100"], ["011000010000", "0011"], ["0011000100", "100"], ["010001010111", "01000100"], ["01011", "010010000"], ["0101111001", "010101000100"], ["0110000", "001"], ["0010011", "000100"], ["0100100", "1001"], ["0101", "011000010110"], ["00100100001", "0101"], ["00010010010000", "00010111"], ["010111000101", "1011"], ["0111", "101001"], ["000100100101100001", "010011"], ["01010101", "01011110"], ["011000010010100000100", "01100100010"], ["010011", "100001110000"], ["1001001", "01100010110"], ["01100001001111", "01001110000"], ["001", "0101000101"], ["011", "0110"], ["000100", "100111100"], ["000101", "010111"], ["01010011", "01011100010111"], ["000100100111", "0111"], ["01100001001111", "01001"], ["00000101", "0111"], ["0101101001010101000100", "1001000101"], ["0011001000111", "010011"], ["010101010111", "11"], ["01010111000100000101", "11"], ["010000000100", "0010"], ["10000", "1111"], ["0001", "10011"], ["0010111", "1001110100"], ["001100100", "0101011001"], ["0000", "00"], ["010001010111", "11"], ["00100100001111", "0000111111"], ["01100001001111100", "011111"], ["010100", "100100010"], ["0101000101", "010111"], ["0100101100", "010110"], ["01011010010100010100", "011000010110"], ["01011101000100", "000101"], ["00100101001", "0101"], ["00110011001111", "01011"], ["0001110110011", "1000"], ["010001010101", "0101"], ["0010000", "000110111"], ["001001000011", "10000"], ["010111", "01000101"], ["110101", "011000"], ["00100101011", "01110000"], ["0101", "01011111"], ["1001", "0100001110000"], ["10011", "1011"], ["0001001001000100", "0101101001010111"], ["00110011", "00100111001"], ["010000", "0011"], ["0101000101", "010101000100"], ["01011001", "010011"], ["0100010101011001", "0100011001011110"], ["0101110001010111", "0001001001000010"], ["001001000010000", "0011"], ["0010111", "00011111"], ["00110010011", "011100010111"], ["0100", "0"], ["0001001", "010011"], ["0110000", "011101"], ["011000010010011", "0001011"], ["001011110110111", "000100"], ["0100000100", "0100000111"], ["0010100000100", "0000"], ["001101000011", "1"], ["001", "01100010110"], ["0101001101000100", "0101101101011001"], ["0111", "101"], ["001010010010111", "10011100001110000"], ["000011", "00"], ["0101110101011110000", "1001001"], ["011000010011101000100", "10000110001"], ["001101010110111", "000100"], ["0111", "1"], ["10010000", "100110101"], ["0011", "1001"], ["0010100100101011011", "0110000100011"], ["00101101001", "0101"], ["11", "1"], ["001", "01100001111100"], ["011000010011100100", "10010100100100"], ["00100", "0110011"], ["00", "01100001"], ["01000111", "01011000"], ["0010001000101", "011011"], ["0110000", "1001000100"], ["0001001001", "01000101"], ["01000001000100000100", "011001011110"], ["000100100101000100", "01001001"], ["01001110000", "0111001"], ["011001100101100001", "01011100010110"], ["00010010011", "0000"], ["01010111000100", "000100011001011110"], ["10010010000", "01"], ["10011", "010101110000"], ["0001110110011", "0101"], ["100111", "01110000"], ["000100", "010"], ["01000111", "0100001001"], ["0101000101", "010011"], ["010111", "01"], ["0001001001011111", "0101110000010110"], ["0101", "01010111000100"], ["0101000101", "01100001"], ["01011101010111", "10010000"], ["1111", "01010111"], ["0001001001", "01100001011011"], ["0010011", "00010111"], ["0011", "00010010011"], ["001001000110111", "00011100000111000"], ["0001001001000111", "0101101101000010"], ["01100001001111", "01011"], ["0100000100", "010000"], ["1001111100", "0110100"], ["0001001001", "010001010000"], ["0101000101", "011110"], ["01010100", "01010101"], ["00011111", "100110101"], ["001100100110111", "000111"], ["00101100001", "01011011"], ["01000111", "01010011"], ["01100", "1001111"], ["0111", "00000101"], ["00010010010100010100", "000100010110"], ["0101011001", "011111"], ["011000010010000", "10010001001110000"], ["0010000000111", "0100010010100111111"], ["0010100000100000011", "0110000100100"], ["0100100100", "100"], ["01010011", "01011011"], ["01011011", "0100011001"], ["1010011", "1111"], ["011011", "01000100"], ["0010111000111", "01"], ["0101101101011110000", "1001001000010"], ["011001", "0101"], ["0010000000111", "010011"], ["001100100110111", "00011100000111000"], ["000101", "100"], ["010000", "0001001001000100"], ["1001111100", "0110001"], ["001000100", "0100110011"], ["00101111001111", "01011"], ["0101", "011010"], ["00100100001111", "000010100101110000"], ["10010111", "100111000"], ["00110111", "011"], ["01011111", "000100000101"], ["0110000", "010010"], ["0110011", "100001110000"], ["0010100000111", "00000101"], ["00110101001", "01011011"], ["001101010010011", "00010110100100100"], ["01000111", "01000010"], ["01011011", "01000101"], ["00010010010111", "0101010011"], ["0101111001", "01000101"], ["1001111", "011"], ["0010111100111", "010011"], ["00110010011", "011100010110100111110"], ["01000100", "000100010110"], ["01100001001", "01"], ["100100", "01000100011"], ["001011", "01001111"], ["001101100", "010101"], ["01010001010111", "0000010110"], ["001011010011", "1"], ["010011", "10"], ["010100", "0001001001000100"], ["011001", "0100100111110"], ["010001100101100001", "01001101000010"], ["001101100010011", "10011100000111000"], ["01010111", "01011001"], ["0010011", "100111"], ["1011", "01000101"], ["01010111010111100100", "011000010110"], ["000100", "1111"], ["0110000100100", "011001011"], ["011000010010111", "10011111101110000"], ["0110010000", "0"], ["0101101101000100", "0101101000010110"], ["001", "010000"], ["0100", "100111100"], ["0101010001011111", "0100000000010110"], ["1001000100", "0111001"], ["0100011001", "010101000100"], ["01011101010111", "11"], ["0111", "0111"], ["001001000110111", "0001011"], ["0110000100101100001", "010010011"], ["01000100", "010"], ["001000110011", "0111011"], ["01010011", "000100000100"], ["01010111", "0100011001"], ["010101110100001001", "01011100010110"], ["011", "0100100010"], ["011011", "01000010"], ["1001", "01"], ["1001111110011", "1001"], ["00000111111", "01110000"], ["001001110010000", "10011111001110000"], ["010001010111", "10"], ["0100011000010000", "0100011001011110"], ["01011111", "01010111"], ["011", "010101110000"], ["0110000", "011001"], ["10011", "0010"], ["001101010010101", "10011111001110000"], ["01000001000100000101", "001101011000"], ["0110011", "001011110"], ["01010000", "01"], ["0100010100", "0010"], ["01010110010000", "11"], ["000100", "011"], ["01010101", "01011001"], ["0011", "01000010"], ["0100011001", "010101010000"], ["010100", "0110"], ["0110011", "1001"], ["0000", "01100"], ["0001001", "0100110011"], ["0001001001", "010110010000"], ["00101111001", "01011011"], ["01100", "100110"], ["0100011001", "0101010100000000010110"], ["001000100", "01000010010000"], ["0011", "01000101"], ["01000101", "000100"], ["00110011", "00110111011"], ["001100100", "0101011011"], ["01001001001", "01100010110"], ["01000100", "0100"], ["0111", "100001"], ["0001001001", "0100100100101100010110"], ["001001000010000000111", "00001110000"], ["001001000110111", "00010001100110110"], ["01100001000111", "100"], ["001010010010011", "10011111101110000"], ["0101011101010100", "0001001001010111"], ["0101101001011001", "0100000100010110"], ["001100100", "010101"], ["010000", "0110101"], ["10011", "100100100100"], ["0010000", "00011111"], ["00100100", "100"], ["010100000101", "0101"], ["01010101", "1001"], ["000100", "1001111100"], ["0010100000111", "0100010010001110000"], ["001101010110111", "00011100000111000"], ["01000111", "01010111"], ["00110111001", "01011011"], ["01000000000100", "000111"], ["0010111000100", "0000"], ["10010111", "100110001"], ["00", "0110"], ["0100010100", "100100011"], ["100100", "0111"], ["00100011001", "0111"], ["01011011", "010111100100"], ["0010111100101001011", "0110000100100"], ["010011", "01011000"], ["0101000101", "010001010111"], ["01010111000100000101", "110101010000"], ["100111111", "1"], ["01011001", "0101"], ["01100001001011000011", "010101110000"], ["011000010010111", "10010000"], ["0100100", "01100111110"], ["0001001001", "011010"], ["001100100", "011111"], ["1001010000", "0110101"], ["01001110000", "0110101"], ["00010010011", "00010"], ["01001", "01"], ["101001", "010011"], ["0001110000", "0110101"], ["01001001", "010011"], ["01011111", "000100"], ["1", "0100111100"], ["00", "100111111"], ["0010010000101010011", "0110000110001"], ["0100010000", "001110000"], ["01100001001", "010000011111"], ["000100100111111", "1"], ["001011110110111", "000101"], ["101001", "010111"], ["01010111", "01011010"], ["011000010000", "01100"], ["00011111", "100100100"], ["0010000000100", "0000"], ["010000", "00110110000"], ["0001001001", "011000"], ["00010010011", "00111"], ["010000000101", "01010100000101"], ["0100000101", "010101000100"], ["0110100", "10000"], ["000101", "010011"], ["001001000010000", "000101"], ["000101", "0001"], ["00100", "01100111"], ["01000100", "00000110101"], ["001001010110111", "00010010100111110"], ["00110101", "01101110000"], ["00110111", "0010011"], ["01011", "0100100010"], ["0110000", "011000"], ["01001001", "0100111110"], ["01001111", "100"], ["010101010111000100", "0010"], ["011000010010110100100", "01100111110"], ["0011", "01000100"], ["01000010010000", "10010111"], ["01010011", "01000010000"], ["01011101010111", "01000100"], ["0110000100100", "01100100"], ["00100", "0110010000"], ["0010010000", "10011"], ["01000100", "01011111"], ["010100", "00010111"], ["00110011001", "01011001011"], ["01011101010000", "100100"], ["01000000000100", "000100011001011110"], ["01000001000100000101", "110101010000"], ["01000111", "01010101"], ["00", "011001"], ["1001110000", "0100100"], ["00000100", "0011"], ["010010011", "0001"], ["0101110001010100000100", "1001000010"], ["0110011", "0100"], ["0100000101", "0000"], ["01011111", "010100"], ["000100", "1001110100"], ["0001001001111", "001"], ["0001010111", "1000010110"], ["001101000010000", "000101"], ["011", "0100111110"], ["011000010000", "10000"], ["01100001001111", "010011"], ["0110010000", "11"], ["10011100", "100111110"], ["0001001001111", "011"], ["0010111100101010011", "0110000100100"], ["01000101", "01010111"], ["0101011000010000", "0100011001011001"], ["001100100110111", "00010010100111110"], ["001100110110111", "000100"], ["01000001000100000101", "101101011000"], ["0111", "01010111"], ["001100100110111", "00010001100110110"], ["00010100", "100111110"], ["0010000000100", "0100"], ["010010000", "1"], ["0101101001010101000100", "10011"], ["0110011", "0111"], ["1001111100", "0111101"], ["01000110010000", "1001010011"], ["01100100", "0101"], ["0001001001010011", "0101110101011000"], ["010100000101", "1111"], ["01011011", "01000000"], ["0101111001", "010010"], ["100111100", "0"], ["01000000010101010101", "011000010110"], ["01000100", "101"], ["100111111", "0"], ["000111", "10000100010"], ["10011", "10010011"], ["00100100001111", "100"], ["0010111", "11"], ["001011110110111", "00010111"], ["0011010100", "100"], ["01011101010101", "10000100"], ["001001", "01001111"], ["001101010011", "0111011"], ["01010101", "01000101"], ["101001", "011111"], ["01010111", "0101110101"], ["1001000011", "0001"], ["1001000100", "0110001"], ["0010111000111", "00000101"], ["00110011", "01101110000"], ["0111", "01000101"], ["0010000000111", "100011"], ["0101101001", "0101010100000000010110"], ["0011001000111", "0100011111"], ["011001", "01011101000100"], ["10010111", "100110101"], ["0010111000111", "10000"], ["01000001000100000101", "11"], ["01010101000100", "000100011001011110"], ["1010011", "100001110000"], ["0011", "01011010"], ["00110010011", "01110001011"], ["01000111", "01011010"], ["011", "01100"], ["01011001", "01010101"], ["01011101010111", "10000100"], ["01010011", "0101110101"], ["010101110101000101", "0000"], ["01011011", "01011011"], ["0101011000010000", "0101101101011000"], ["011011", "01010101"], ["0010100", "100111"], ["01000101", "01010011"], ["010001100100", "1001000100"], ["011011", "01010011"], ["0101000101", "0111000101"], ["0101011101000010010000", "0100010110"], ["0101110101", "011010"], ["011100", "0110101"], ["10010000", "000111001"], ["1111", "01011001"], ["00101111001", "0101000101"], ["0101000101", "011000000100"], ["01010011", "01010111"], ["0001001001010110010000", "0001011001"], ["000100100111", "0101"], ["000101", "011100010110"], ["00101010011", "0111"], ["10010111", "100100100"], ["0010111000100", "011011"], ["0011001000111", "1"], ["00110011", "001011110010000"], ["00111000011", "01110000"], ["0010011", "10011110000100"], ["001101000011", "1010011"], ["0100", "01010011"], ["0101", "000111"], ["01010011", "010000100100"], ["0110000", "000010"], ["001", "010011"], ["0010010000101010011", "0110000111001"], ["00101100001", "010110010001000100100"], ["001101010110111", "000101"], ["000101", "000010"], ["001100110110111", "00011100000111000"], ["001101010010011", "000101"], ["1001", "010101"], ["00110111001", "01011001111100"], ["01010111", "01000111"], ["0101110101010110000", "1001001"], ["1001", "0100111110"], ["010000000100", "001001"], ["0101011101010100", "0001001001011111"], ["00101000001011", "01001011"], ["00101101001", "01010011"], ["00111000011", "0111000101"], ["010000", "0111001"], ["00110001001111", "0000100"], ["0100010100", "011001010011"], ["01010101", "011000010110"], ["0101101001", "01010101"], ["01011110010111", "00"], ["001001000011110000111111", "01110000"], ["010000000101", "110101"], ["01010101", "000100000100"], ["00010010010100010100", "011000010110"], ["0100010100", "100111110"], ["01100100", "01000100100"], ["100111", "01101110000"], ["00010010010111", "10010111"], ["0100000101", "01100001"], ["01011101000100", "000100"], ["01100001001", "0100000101"], ["1001111100", "0111111"], ["001000100", "01011110010000"], ["00110011001", "010110010100001110000"], ["0100010101010101", "0100000001010011"], ["010100", "10010111"], ["0110000100111001001", "0100100100010"], ["0010000000111", "1000011"], ["10010111", "101110000"], ["01000111", "01000101"], ["0000", "00010110"], ["0001001001000111", "0101011101000100"], ["001001", "010010000"], ["01011011", "01011010"], ["1001111110011", "1000"], ["001101010010011", "00010100100100010"], ["00001111", "100"], ["0100011001011111", "0001001001000010"], ["01001", "010011"], ["0101", "01011110"], ["0101111101010101", "0101110001000010"], ["000100100", "0111"], ["001011100110111", "00011100000111000"], ["0011010100100001011", "0110000100100"], ["0100001001", "010111"], ["011011", "01011010"], ["001100100", "010000"], ["011000010000", "0111"], ["01000010000", "10000"], ["100001011", "011"], ["01000111", "00100100010"], ["010110100100", "0100"], ["01100001001011", "01001011"], ["0001010111", "01000100"], ["001001010110111", "00011100000111111"], ["001001100110111", "00011100000111000"], ["0110000", "010100"], ["01100001001010000011111", "000111111"], ["000101", "011111"], ["0010111", "0001011"], ["001101010011", "101"], ["000100100101001001", "010111"], ["0011000100", "111"], ["010001100101100001", "01011101000100"], ["01010011", "0101"], ["01011011", "01011100010111"], ["0101111001", "01010101"], ["0100", "10010000111001"], ["0100010100", "001110000"], ["01010101", "01011111"], ["0101011101010100", "0001001001010100"], ["0000", "00110011"], ["001001000110111", "000011"], ["00110100", "011000010110"], ["0100", "011001001111"], ["0100000101", "011110"], ["000101", "011110"], ["01010100000100", "010110"], ["01011", "01100"], ["0010000000101", "001001"], ["00100101011", "01110001011"], ["011000010010011", "10011111101110000"], ["000101", "0101"], ["0010000000111", "1"], ["010011", "0110000110001"], ["1001111100", "0111110"], ["0010100100101011011", "0110000110011"], ["001100110010000", "10010000101110000"], ["010001001010011", "0011"], ["01010100", "000000010110"], ["011", "0100111100"], ["0110011", "0011"], ["1001111100", "0101001"], ["001101100010101", "10011111000110101"], ["0100000001011111", "0101111100010110"], ["0100011001", "010001010111"], ["01010011", "01010101"], ["01010100000100", "000111"], ["01010111", "01000010010111"], ["0101110101011110000", "1001001000010"], ["10011", "0111"], ["010011", "01011010"], ["0101", "00101110000"], ["0010000000110111", "011"], ["0010100000101", "0110011111101110000"], ["00110011", "00100"], ["0100100100", "0101"], ["0101001101011110000", "1001001"], ["0110000", "000000"], ["0110110101", "0010"], ["100100100", "0110"], ["0011", "0001011"], ["010000000101", "001"], ["010010010000", "110101"], ["0101", "100001"], ["011000010000", "00100"], ["1001", "010010"], ["101001", "0100101110000"], ["0001001001011001", "0100000100010110"], ["010001011", "0100111110"], ["010001100101100001", "010111"], ["011000010010000", "000100"], ["10010000", "000110101"], ["0010011000101", "011011"], ["001001110011110000100", "01100111101"], ["10010111", "100111011"], ["01010011", "11"], ["0101101001010101000100", "1001000010"], ["0010000000111", "00000101"], ["00110011001", "01011001"], ["01011001", "011111"], ["01011010010101010001001001", "010101"], ["01011011", "0100001001"], ["010111", "1001000100"], ["0110000", "010110"], ["0001110000", "0111001"], ["0100011000010000", "0101110101010000"], ["010100", "0001010011"], ["01010011", "010111100100"], ["01010100", "01000010010111"], ["01011101000100", "000100011001011110"], ["1001", "01001"], ["100111", "01000111001"], ["00000100", "011"], ["00100111", "01101110000"], ["010100000101", "000101"], ["01010111000100000101", "101101011000"], ["0101110001010011", "0101011100010110"], ["1001111100", "0100010"], ["001", "0110000100"], ["0011", "100"], ["0101111001", "010100"], ["00010010011111", "0101010011"], ["0001011", "0100100010"], ["0100001001", "010101010000"], ["011000010010111", "10011100001110000"], ["001001000110111", "00010010100111110"], ["001110000110111", "000100"], ["011000010010011", "00010010100100011"], ["00001100", "0010111"], ["000100100101100001011011", "01000101"], ["1001010111", "01000100"], ["10011", "00101"], ["0110000", "0010010010000"], ["001", "010000011111"], ["00100101001", "0111"], ["010101010101", "10000100"], ["011011", "01000101"], ["0111", "100111111"], ["0001001001", "01010101"], ["000110011", "001011110"], ["001001000110111", "00000111"], ["0101000101", "000101"], ["01100001001111100011111", "000111111"], ["10010011", "0011"], ["0000", "100100"], ["00010010011", "00101"], ["0011", "1111"], ["010111", "1001001111"], ["000010000", "0"], ["001000000110111", "000100"], ["010000000100", "1111"], ["011000010000", "0000"], ["100001111", "00"], ["10011", "00010"], ["00101001001", "010110011111001110000"], ["0010111000111", "100001110000"], ["0100", "10010111"], ["0101101101011110000", "1001001"], ["010001011", "0100100100"], ["01010011", "01001001000100"], ["010101010101", "011000010110"], ["0101110101011110010000", "0100010110"], ["000010000", "0100000011"], ["00100100001111", "0100111111"], ["01001", "0101"], ["010010011", "0101"], ["01010111", "01011011"], ["0110000", "011110"], ["1001111100", "0110011"], ["0001001001", "010001"], ["0001001001010011", "0101110101011011"], ["00110101001111", "00001011"], ["0100011001011001", "0101110001010001"], ["0110000", "1001110000"], ["1001010111", "01000101"], ["01000100", "01100100010"], ["0101100100", "010110"], ["00100100001111", "0000100"], ["00110001001111", "100"], ["001100100110111", "00011111"], ["01000010010111", "0001010011"], ["01000100", "01100111110"], ["010010011", "0011"], ["01001110000", "0100010"], ["1011", "01000010"], ["0001001001", "010001010101"], ["0010010000101010011", "0110000110010"], ["00101111001011", "010010100101110000"], ["0100101100", "0100000111"], ["011000010010110100100", "01100111101"], ["00000000", "001111"], ["01010001010111", "1000010110"], ["01011101010111", "00010111"], ["00000101", "001"], ["000100000100", "010110"], ["001001010110111", "000111"], ["001100110011", "1010011"], ["010000000101", "0010"], ["01011011", "01010010"], ["0110101", "1000"], ["011100010111", "100111111"], ["000100", "0111"], ["00101100001", "0101"], ["00001001", "0100111110"], ["00010010010000000100", "000001011001"], ["00100100001111", "00001011"], ["010000", "100100101100010110"], ["010001010101", "1000010110"], ["010001010101", "100001011011"], ["0101010001000010010111", "0101011011"], ["01010101", "0101000101"], ["0101110101", "011001"], ["0110000", "000111"], ["00100100001111", "000011"], ["0100010100", "011001011111"], ["010001010111", "01010010"], ["0101000101011111", "01011111"], ["010111", "1000010110"], ["1001001", "0100100010"], ["001011100110111", "000100"], ["0011001000101011001", "0100001110000"], ["0100000101", "0101010101011000010110"], ["010101110101000101", "00000101"], ["0100", "01110000"], ["010001011", "0100100010"], ["01001111", "000011"], ["010111000100", "0100000100"], ["0110000", "010111"], ["001100110110111", "000101"], ["001101100", "010000"], ["0101000100", "010110"], ["0110000", "011100"], ["0110000100111", "0100011111"], ["0111000101", "011111"], ["00010100", "011001011111"], ["0010010000111100011", "0110000100100"], ["0010111000100000011", "0110000100100"], ["0101111001", "010001010111"], ["01100001001111", "0100100"], ["0111", "1001"], ["001000100", "010000100100"], ["00110001001", "01011001111100"], ["01000000", "0110001"], ["01001001", "0100100100"], ["01001110000", "0111111"], ["01010011", "010111000101"], ["0101011001", "010101000100"], ["011001111", "000011"], ["0010000000111", "10000"], ["001101010010011", "10010001000110111"], ["011000010011", "0"], ["00100100", "01000100011"], ["0100000101", "0011"], ["0100011001", "01000101"], ["01011010010101010001001001", "010000"], ["01100001001", "01100001011"], ["0010000000111", "0100110110000100100"], ["00101110011", "0111000101"], ["00010010011", "0011"], ["0010100100101011011", "0110000110110"], ["00110010011", "011100010110101110000"], ["010100000100", "1111"], ["01011010010000", "10"], ["010111000101", "01010101011000010110"], ["011000010010100000100", "1"], ["011001", "0100001110000"], ["00", "000100101"], ["0000", "100110001"], ["0010111000100", "0000011111101110000"], ["010000", "1000010110"], ["01011011", "0101110101"], ["00001111", "00"], ["001", "0100111110"], ["001101010110111", "00010001100110110"], ["01010111", "01001001000100"], ["00", "011001010011"], ["0010100000111", "100001"], ["01010111000100000100", "011001011001"], ["01011", "0100111110"], ["0101110101000101", "0101010101011110"], ["1001110000", "0100011"], ["1001111100", "0111011"], ["00", "100111101"], ["01010011", "01011111"], ["01010101", "01"], ["10011", "100100100010"], ["01000001000100000101", "001100010110"], ["01010011", "01000010010000"], ["0101011101000010000", "1001001000010"], ["1001", "0"], ["00000101", "1111"], ["00010010011", "1001001"], ["0011", "0100001011"], ["0100100100", "0111"], ["01010011", "010111"], ["0110000", "011010"], ["0000", "1001001"], ["010101000101", "0000"], ["01010101000100", "01010011"], ["000000100", "010011"], ["00110100", "0010101"], ["01011100000100000101", "001101011000"], ["001001000110111", "00010110100111110"], ["010000000101", "0100"], ["0100000101", "01010101"], ["0101001101000011", "0001001001010111"], ["01010111", "01011100010111"], ["11", "100110101"], ["000101", "0000"], ["001001", "01000"], ["001001000110111", "00011100000111111"], ["001101010110111", "00010111"], ["0100101100", "010000"], ["01010011", "010111000100"], ["0101101101010101", "0100000100010110"], ["011000010011100100", "10010000111001"], ["0010100000111", "0100011010101110000"], ["00110100", "001"], ["01000111", "01010100"], ["00010010010111", "01010111"], ["00010010011", "0001001"], ["001011110110111", "000111"], ["01010100000100", "000101"], ["01010111000100000101", "001101011000"], ["0101100100", "0100000101"], ["01011110010000", "0100010110"], ["1001110000", "0101001"], ["000101", "1000"], ["01010111000100000100", "010101010111"], ["01011001", "01011001"], ["011000010010011", "00010100101110000"], ["0110011", "001"], ["10010011", "00101"], ["001001", "011001"], ["0100000001011001", "0101110001010001"], ["01001", "0100100111110"], ["01011101010111", "0101"], ["0111", "100111000"], ["0111111", "01110000"], ["1010011", "0011"], ["0010000000111", "0100010100100110100"], ["0010000000111101011", "0110000110001"], ["00100101001", "010110010100001110000"], ["010001010101", "100001"], ["00010010010000", "0001010011"], ["001001000011", "0111011"], ["0010100000101", "101011"], ["00101111001", "010110010100001110000"], ["010000", "1001000101"], ["010101010111", "0000010110"], ["01100", "10011"], ["000100", "0100"], ["001001000110111", "00001111"], ["0010011", "10010111"], ["001110000110111", "00011100000111000"], ["010001001", "0100100011"], ["010011", "0010"], ["01010011", "0100011001"], ["00100101001", "01011011"], ["010001001", "0100100110"], ["010011", "1011"], ["100", "100111100"], ["100111", "01100111110"], ["0001001", "0100111100"], ["010100000100", "0101"], ["010111", "000100101100010110"], ["1111", "01011111"], ["0001001001000111", "0101101001011111"], ["00100100001111", "00"], ["001001010010011", "10010001000110111"], ["0101001101000100", "0001001001000010"], ["0101101101000100", "0100101100010110"], ["0010000", "0001001"], ["0011", "0000"], ["001101010010011", "00110110000"], ["01010011", "01011100000100"], ["0101101101011110000", "100"], ["0101011001", "010101010000"], ["01100001", "0100100100010"], ["011000010011", "100100100"], ["0010010000", "0"], ["0010111000100", "11"], ["0110000100", "01110000"], ["10011", "100100100011"], ["000010100", "100110100"], ["0001011", "0100100011"], ["0010100100101011011", "0110000100100"], ["00110100001111", "01011"], ["01010111000100000100", "000001010011"], ["0101011101000010000", "100"], ["00100101001111", "01011"], ["0101110101", "010111"], ["100100100", "0100"], ["01000010010000", "11"], ["010011", "0"], ["10010000", "100110001"], ["10010011", "00010"], ["011000010011100100", "10010000"], ["0110010101", "100111000"], ["01000101", "00010110"], ["0101011001", "0101010101011000010110"], ["0101110101000010000", "1001001"], ["011000010010011", "10011100001110000"], ["011001001", "0100111100"], ["0010001000100", "101011"], ["0010111000111", "1000011"], ["001100100", "010111"], ["01010111", "010010000"], ["01010111", "01011111"], ["0010100000100", "0010010001000100011"], ["0010111100101001011", "0110000110001"], ["00110000", "00111"], ["0101101101011111", "0101110001000101"], ["1001110000", "0110001"], ["000010100", "100100011"], ["00100100011011100010111", "100111111"], ["00100101011011100010111", "000101001"], ["001010010010011", "10010111100111000"], ["0010101", "00010011"], ["0100", "01100100010"], ["01000111", "01011001"], ["011111", "000101"], ["000010000", "01000000110110000"], ["010000000101", "1000"], ["0001001001", "010010010111"], ["0001001001", "0101000100"], ["001", "011000011"], ["0010111", "00010111"], ["0011001000111", "101011"], ["00110111001", "010110011111001110000"], ["01001001", "0100111111"], ["0101001101000100", "0101011100010110"], ["01011", "0100100100"], ["0101101001", "0100010101011000010110"], ["0101101001", "010101010000"], ["01011101010000", "1001011111"], ["0110000100100110001011", "0100110100"], ["011000010010111", "10010111"], ["1001111000011", "0101"], ["00", "100111100"], ["0001001001011001", "0101110001000010"], ["0010000000101", "010011"], ["00101100001", "011000010100100100010"], ["0011010000", "10011"], ["010001100100", "0111"], ["0101000100", "100"], ["0101001101000100", "0101011101010010"], ["0101011101000011", "0001001001010111"], ["01011101010111", "100100"], ["01100100", "010110"], ["1111", "01010011"], ["0001001001011001", "0100011000010110"], ["000101", "00100110001"], ["000111", "00001110000"], ["001001000110111", "00011111000110101"], ["0010110100100", "010011"], ["001011110110111", "00010110100111110"], ["00110111001", "0101"], ["0100001001", "010001010000"], ["0101011000010000", "0101000001001111"], ["0110000", "011111"], ["1001111", "010"], ["101001", "0100100110100"], ["101001", "011001"], ["000100100101100001010011", "01010010"], ["0010100000111", "010011"], ["00110011", "00100011001"], ["01000111", "01010001"], ["0101011001011001", "0101110001010001"], ["01010111000100000101", "000101011001"], ["0101101001010101000100", "1001000110"], ["0111", "01011010"], ["1001011", "0100111110"], ["00010010010000", "1001"], ["0001001001010001010111", "0000010110"], ["000101", "000100"], ["0010000", "11"], ["001001000011", "01100"], ["010100", "100111110"], ["01010011", "01001001"], ["0110000001", "011001"], ["00000000", "0011"], ["0010000000100", "00000100"], ["00100011001", "010110011111001110000"], ["001", "01000011"], ["00101001", "01101110000"], ["001100110010011", "10010001000110111"], ["00110100", "0010100"], ["010000000101", "010101010111"], ["01001011000100000100", "011001011110"], ["01011001", "01010011"], ["0110000", "001011111"], ["0110000100111101001110000", "0110001"], ["00100100001111", "00001001010011"], ["001001100110111", "000100"], ["0100", "100111101"], ["01001110000", "0110001"], ["01010011", "01010010"], ["01011111010100", "100101011101000100"], ["00011111", "100111001"], ["00110011001", "01010011"], ["010001001010011", "0001"], ["0101101001", "010001010111"], ["01100111111", "00110101"], ["0010111000111", "1"], ["001011110110111", "00010001100110110"], ["001100110110111", "00010111"], ["001100110110111", "000111"], ["0100000101011001", "0101110101011000"], ["010001001", "0100100100"], ["010100", "100110001"], ["01010111", "01000010"], ["0111", "0101"], ["0010010000111101011", "0110000110001"], ["0010100000111", "100011"], ["0100", "1000011"], ["0101101101010011", "0101101000010110"], ["010111010100", "01100101011101000100"], ["011001001", "0100111110"], ["0111", "0101000100"], ["0010100000101", "0010010010000"], ["001010010110111", "00011100000111000"], ["0100", "10011101110000"], ["0100010100", "100110001"], ["010001010101", "1000"], ["1001000100", "0111110"], ["00", "0"], ["001010010010111", "10010100001110000"], ["00101101011", "01110000"], ["00101111001", "01001001"], ["001100100010011", "10010001100111110"], ["0101110001010111", "0001001001010111"], ["011001", "0111000110101"], ["0001001001000011", "0100011001010111"], ["0001011", "010"], ["00100", "011001111"], ["0010000000111", "100001110000"], ["001001000011", "1001011"], ["001001000110111", "00011101100110001"], ["0010100100101011011", "0110000100000"], ["00110001011", "0111"], ["01000100", "01100100111"], ["01011001011", "0100100010"], ["0101101000010000", "0100011001011110"], ["1001110010011", "0111"], ["000100100", "010011"], ["0010111000111", "0110010101100111000"], ["0101000101", "01101100"], ["0101011101010100", "0001001001011001"], ["0101101001010101000100", "1001000100"], ["010111010100001001", "01011100010110"], ["011000010010011", "10010001000100100"], ["00100101011", "011100010110101110000"], ["0010111000111", "011001110000"], ["010011", "00"], ["010100000101", "01010101"], ["010100000101", "1001"], ["000100", "0011"], ["000100", "01100100101"], ["00011111", "100100101"], ["0010000000111", "0100010100101110000"], ["10000", "1010011"], ["10010000", "100100000"], ["000100000101", "011001"], ["00011111", "000111111"], ["001001000010000", "00010111"], ["00101101001111", "01011"], ["010001010111", "01"], ["01001", "0100100110100"], ["01010111", "01000000"], ["011", "0100111101"], ["0010000000100", "0100110110000"], ["001001000110111", "00000000"], ["001010000010000000101", "11"], ["00101101011", "0111000101"], ["0100100", "100110"], ["01010000", "00"], ["0101011000010000", "0111"], ["010111", "0100"], ["010111000101", "011000010110"], ["00100000011", "0111000101"], ["001001", "011010"], ["001001000010101", "10010001001110000"], ["0010100100101011011", "0110000100010"], ["0010111000111", "001001"], ["01010011", "01000010010111"], ["01010011000100", "000111"], ["01011100000100000101", "110101010000"], ["01100000010010010000", "10"], ["0001001001", "010101010111"], ["001101010110111", "000111"], ["01000001000100000100", "011001011001"], ["01001001", "010111"], ["010100000101", "01010100000000010110"], ["01010011", "01010010010111"], ["0101011101010101", "0101110000010110"], ["0101110101000101", "0101110001010010"], ["010111010101111001", "01011100010110"], ["011100", "0110001"], ["0001110000", "0110001"], ["0010000", "0"], ["0010111", "10011"], ["010010010000", "111111"], ["010110010111", "100100100"], ["01011111", "01000000010111"], ["1001111100", "0111100"], ["00000000", "0110111"], ["001010000011100000101", "00101110000"], ["001011100011100000101", "00100100010"], ["0100010100", "100111101"], ["01010111000100", "00011111"], ["01011101010111", "1001010011"], ["01011111", "01000011"], ["10000100", "01100100101"], ["1001", "0100100100011"], ["1011", "011"], ["000100100101100001", "01011100010110"], ["0001011", "01001"], ["0010111000100", "01000100"], ["001100100110111", "00011101100110101"], ["01000001000100000100", "010101010011"], ["0100000101", "0111"], ["01001011", "01010101"], ["0101110101", "010010"], ["01100001001", "0110100"], ["00100", "011001000100"], ["0010000000111", "0100110110000"], ["00100000001111000011", "010101110000"], ["001010000010111", "10010001001110000"], ["00101110011", "01110000"], ["0101101001", "01001"], ["01100001001111100", "010000000110001"], ["0001001001000000010111", "1001010111"], ["0010000000111", "10100111111"], ["0010110100100", "0100011010101110000"], ["0010111000111", "0110011100001110000"], ["0110000", "010101"], ["0111", "0101000011"], ["1001111", "0000100000"], ["00011111", "100111000"], ["001010010110111", "000100"], ["010000000101", "1"], ["01010101010011", "01000101"], ["01010101010110000100", "011000010110"], ["0101011000010000", "0101001101011000"], ["01011111", "01000101"], ["01100001000011", "0100100"], ["10011100", "100111100"], ["01011011", "01000010010000"], ["011000010010111", "10010001001110000"], ["0010101", "000100"], ["0010111000100000011", "0110000111111"], ["00110101001111", "0000100"], ["01010011000100", "000100000101"], ["010101010111", "01011000"], ["0101011101011110000", "1001001"], ["011000010010101", "10011"], ["0111", "011001"], ["00000111", "00001110000"], ["001011110010111", "10010000001110000"], ["00110111", "0010111"], ["01010111", "0101011001"], ["01011001111100", "0100011"], ["010110110100011001", "01011100010110"], ["0101110001010100", "0001001001010111"], ["0101110101011110000", "1001001010111"], ["0010010000101010011", "0110000111111"], ["001011100011101", "10010001000110100"], ["0010111000111100011", "0110000100100"], ["010000000101", "00010101111000010110"], ["0101000101", "000011"], ["0101101101010111", "0101101001000010"], ["0110000100", "011100"], ["10010111", "0101000011"], ["00000100", "1111"], ["00100011001", "0101"], ["001001000110111000101", "01000111001"], ["0100011001", "011000010000"], ["010111", "01011010"], ["011000011", "1011"], ["0110100", "0110"], ["0001001001", "01001001000111"], ["000100100101000100", "01001001000101"], ["00010011", "0010000"], ["00010100", "011001010011"], ["000101100", "010011"], ["001001000011", "1010011"], ["0100", "10010000110001"], ["010001010101100001011011", "01010101"], ["010011", "01000100"], ["0101101101000100", "0100000100010110"], ["1", "0100100100"], ["10010000", "100111001"], ["0001001", "0100111101"], ["001001100010011", "00011100001110000"], ["0010100000100", "01000100"], ["0011", "01100110111"], ["001100100110111", "00011100000111111"], ["0100011001", "0111000101"], ["0101000101000100", "0101101101011001"], ["01010011", "0101110001011011"], ["0110010000", "10"], ["001000000011100000101", "00101110000"], ["001011100010000000101", "00101110000"], ["0010111000111", "1000010000"], ["0100000100", "011"], ["0101000101", "011011"], ["01100001001", "0110000100"], ["100110011", "0"], ["010000000101", "0001010111"], ["01000111", "01000110"], ["0101111001", "011011"], ["0110000100100", "011001"], ["0001001001011110010111", "0101000010"], ["00100000011", "01110000"], ["0100010001010101", "0100000000010110"], ["010001010101000101", "0000"], ["010011", "1"], ["01010100", "011000010110"], ["01010111000100", "00"], ["0101101001010101000100", "1001010111"], ["01011011", "01000010000"], ["01011011", "010100010101110000010110"], ["01011011", "0101011001"], ["01011110010111", "0001010111"], ["01100001", "01000100"], ["011000010010111", "10011111000110101"], ["00011111", "100111111"], ["0010000000111100001", "0100101110000"], ["0010100100101011011", "0110000100111"], ["001011100010000000101", "01101110000"], ["010011", "0110"], ["0101000101", "000010"], ["010100110101110101", "01011100010110"], ["01010111000100", "0001100001"], ["0101101101011110000", "1001001010111"], ["0101111001", "010001010000"], ["01110011", "11"], ["10011", "01100"], ["000100", "01100100010"], ["0001001010011", "0101"], ["001001", "010111"], ["0010100000100000011", "0110000110001"], ["00101110001000000", "011111"], ["00101110011", "011100010111"], ["001101100010011", "00010010100110011"], ["0101101001011001", "0101000101011110"], ["01011011", "01010001"], ["0010000000100", "0100010000001110000"], ["001001110110111", "000100"], ["00110101", "001011110010000"], ["0100000101", "010111"], ["01000011", "01000101"], ["0101001101011100010111", "1000010110"], ["01010101", "01011000"], ["010111000101", "00010101111000010110"], ["0101111001", "0101010101011000010110"], ["01011110010111", "000100101100010110"], ["0110000100000011", "001011"], ["0111", "01001110"], ["011111", "01010111"], ["011111", "1001"], ["1001010011", "01000010"], ["1001010111", "01010011"], ["0000", "01"], ["0010000000100", "00"], ["0010000000111", "1000010000"], ["0010100100101011011", "0110000110101"], ["0010100100101011011", "0110000111101"], ["0010111100101010011", "0110000110001"], ["0100011001", "010001010000"], ["0101001101011100010111", "1001001111"], ["0110010000", "000110100"], ["0110110101", "1001"], ["10010011", "100110101"], ["0001011", "0100111100"], ["0010100000100", "00"], ["001101100", "0101011001"], ["0100000101", "01100001011"], ["010001001010011", "0101"], ["01010011", "010000100100101100010110"], ["01010101", "01000011"], ["01011001011", "0100110100"], ["01011100000100", "00011111"], ["10010000", "000110001"], ["00010010011", "001"], ["000100100111100", "001"], ["00100101011", "011100010110100111110"], ["00101000001010010010010000", "100100"], ["00101111001110100", "011111"], ["001011110110111", "00010010100111110"], ["00110111", "00100111001"], ["01011001011", "0100100011"], ["01011010010101010001001001", "011011"], ["01011100000100", "000100000101"], ["01011101010111", "0101011111"], ["01011111", "000100000100"], ["01011111", "01010100"], ["10000", "100101"], ["1001010100", "0110110"], ["000101", "000101"], ["001001010011", "1"], ["00101000001011", "010010010001110000"], ["00101001001", "010110010000"], ["0010111100111", "01000100"], ["001110000", "0101011001"], ["01010111", "0101110001010111"], ["0101101001010101000100", "1001010011"], ["01100001001", "0100"], ["0110010000", "01"], ["100111", "01100110101"], ["1001111", "0001110000"], ["100111111", "00100000"], ["0001001001000100", "0101101001011111"], ["000111", "10000110101"], ["0100000101", "01000101"], ["0101010100000101", "000010"], ["011000010011101000100", "10000100010"], ["0001001001010001010000", "0001010011"], ["000100100111111", "001"], ["0010000000100", "0110010100101110000"], ["0010111000111100001", "0100101110000"], ["001100100", "0100110011"], ["01011011", "010111000101"], ["0110000100", "1001"], ["011000010010000000100", "01100100100"], ["100", "010"], ["000011", "010101110000"], ["00100", "0100110111"], ["00110011", "001011110010111"], ["0100000101", "000111"], ["0101110101000101", "0100011000010110"], ["011000010010000", "000101"], ["0110000100101111011", "0110000100011"], ["100111001", "0"], ["00000100", "0100"], ["00010010010111", "0101"], ["001001", "01"], ["00100100001110000", "010100100100010"], ["00100100001111", "010011100001110000"], ["00110011001011110010000", "001110000"], ["0101000101", "010001010000"], ["0101001101000011", "0001001001000010"], ["0101010001011111", "0100000001011011"], ["01010111", "010000000100"], ["01011100000100000101", "101101011000"], ["011", "0100100100"], ["01100001001", "01001001"], ["1", "0100111101"], ["00010010010111000101", "1011"], ["0010000000111101011", "0110000100100"], ["0010111000100", "0110010000"], ["010000100100", "0110"], ["010101010101", "10000"], ["011", "0100100011"], ["00100", "100110"], ["0010001000111", "0100010010100111111"], ["0011", "0110011"], ["010101000100", "0100"], ["01010101010011", "01010010"], ["01100001001011", "01001111100"], ["011001011", "0100100010"], ["100001111", "100"], ["0010101", "000111"], ["001100100110111", "00011111000110101"], ["0100", "1001000010"], ["01000101", "01011110000"], ["0101001101011110000", "1001001010111"], ["010101110100011001", "01011101000100"], ["010111", "0100010000"], ["01011101010000", "00"], ["01011101010111100001001001", "011001"], ["01011111", "01010001010111"], ["1001110000", "0100101"], ["1001111000011", "0001"], ["00001111", "0010101"], ["0001010011", "00010110"], ["00100011001", "01011011"], ["0010111000100", "00000100"], ["0010111100111", "0100010100100100010"], ["001100010010000", "10011111000100100"], ["010100110101111001", "01000101010011"], ["01010100", "10"], ["0101011000010000", "0101001100010110"], ["0101101001010101000100", "1001000001"], ["01011100000100000101", "11"], ["010111000100", "01000101011101000100"], ["101", "10011111000111001"], ["00100", "01100100"], ["0011", "01010101"], ["01000101", "000100000101"], ["010001011", "0100110011"], ["010100110100001001", "01011100010110"], ["01010101", "00"], ["01010111", "10"], ["0101100100", "0100000100"], ["10010010000", "0"], ["1001111110011", "1111"], ["0010010000111100011", "0110000110001"], ["0010100100101011011", "0110000110001"], ["00110111001", "010110010000"], ["0100", "011100000110101"], ["0100011001", "011010"], ["0100100", "01101110000"], ["0101", "1001000101"], ["0101011101000011", "0100011000010110"], ["01011011", "0101000100"], ["0110000", "011011"], ["011000010010011", "10010001000110011"], ["011001", "0"], ["1001111100", "0110111"], ["000010000", "0111"], ["0010000", "110101"], ["00100111001", "0101"], ["00101000001000000", "011100000110101"], ["001100100", "0100001011"], ["001101010110111", "00010010100111110"], ["010100", "100110100"], ["010101000101", "011001"], ["010111", "0001001001000100"], ["0111", "01010011"], ["10010011", "1001"], ["01000110010000", "10010111"], ["01010101010011", "01000100"], ["0101101101010011", "0101001101011010"], ["0101110001011001", "0101110001010001"], ["010111010101111001", "01010100010110"], ["0110000100000111", "00100"], ["0110010111", "0101000100"], ["0010100", "100110001"], ["0100000101", "010101010111"], ["0100010100", "100111100"], ["01010100000101", "000010"], ["0101011101000011", "0001001001011001"], ["01011101010111", "01010000"], ["011", "0101110000"], ["011000010010111", "1001"], ["0111", "100110001"], ["10011", "00100"], ["000101", "011010"], ["001010000010111", "1011"], ["0100011000010000", "0101101101011000"], ["01000111", "0101110101"], ["01001001", "0100110100"], ["0101011101000010000", "1001001010111"], ["0101011101011001", "0100000000010110"], ["0101101101000010010000", "0101000010"], ["01100001001", "0100100100"], ["10000111111", "01110000"], ["1001", "01101101011000"], ["1001111", "101"], ["00000100", "111"], ["000100", "010010111"], ["00010010010000", "000101011101000100"], ["0001011011", "01010101"], ["0100000100010000", "0110011001011110"], ["01000001000100000100", "000001010011"], ["0100011001", "010101010111"], ["010101100100", "0101"], ["010111000100", "01000100000100010110"], ["0101111001000011", "0101110100010110"], ["01100111111", "00100100"], ["1001000100", "0101001"], ["00010100", "100111100"], ["0010001100111", "0110011100001110000"], ["001001000110111", "00000101"], ["0010111000100000011", "0110000110001"], ["0011001000111", "0100110110000"], ["0011001000111", "0110010111"], ["00110011", "001011"], ["00110101", "0010"], ["0100000101", "010101010000"], ["01010011", "010000000100"], ["01011101010000", "1001011011"], ["0101110101000010000", "1001001000010"], ["01100001001111100", "010100100100010"], ["1001111110011", "11"], ["00001111", "100100100"], ["000101", "000011"], ["001011110010101000101", "00100100010"], ["001011110110111", "00010110101110000"], ["001100100", "01000010010000"], ["001100110110111", "00010001100110110"], ["001100110110111", "00010110100111110"], ["00110100001111", "0000100"], ["010011", "01010101"], ["01011100000100000101", "001100010110"], ["0101110100", "0100000111"], ["011001", "0100100100011"], ["1001111", "001"], ["000011100", "01000000110110000"], ["000100100101011001", "01101101000100"], ["00101101001", "010110010100001110000"], ["010111010101111001010011", "01011010"], ["0101111001010001010111", "0001010010"], ["0111000101", "0010"], ["011111", "0001011111"], ["0001001001011001", "0101110001010101"], ["00010010011100", "01010111"], ["00100100011011100011111", "100100100"], ["0010111000100", "00"], ["0010111000111", "0010010001001110000"], ["001011110010000", "10011100001110000"], ["00110011", "001110000"], ["01000000000100", "000100000101"], ["0100011001", "01010101"], ["010100", "100011"], ["0101000111", "01000101"], ["010101100100", "011001010011"], ["01011011", "010100"], ["010111000101", "01000101011101000100"], ["01100001001111", "010010111"], ["100", "100111110"], ["000000110011", "11"], ["00010010010101000101", "1011"], ["00010111", "01"], ["00100", "10010100111110"], ["00100110011", "0111000101"], ["0010100", "100100"], ["001010000010111", "10010000001110000"], ["00101111001110100", "011111101110000"], ["00110111", "0010000"], ["0100010001010101", "0101011000010110"], ["010001110101111001", "01011000010110"], ["0101000101010001010111", "1000010110"], ["01010011", "01011101000100"], ["01010100000101", "010011"], ["01010101", "000101"], ["01011001", "01000011"], ["01100001001111", "0000100"], ["011001", "01010011"], ["01110000", "0111111"], ["100100100", "01101110000"], ["00001111", "0010000"], ["000100100110011", "0"], ["00100110011", "01110000"], ["001010010010101", "10010010100100010"], ["0100", "010110100101001"], ["010001100100", "011"], ["010101110100001001", "01011101010010"], ["01011010010101010001001001", "010100"], ["011000010000", "1001001"], ["011000010011", "0111"], ["011011", "01010111"], ["0010000000100000011", "0110000110001"], ["001010010010000", "0"], ["001011", "0"], ["00110011", "00101001001"], ["00110100", "0010111"], ["0100000101", "1010"], ["0100001001011111", "0100000001000010"], ["01010000010111", "000101011100010110"], ["0101101001", "010001010000"], ["01011101010111", "10010111"], ["011000010011101000100", "10000111001"], ["0001001001010001010111", "1001000101"], ["00010010011", "00001"], ["00100010001000010010000", "100100000"], ["001001110010000", "10011111000111101"], ["001011010010101", "10011111101110000"], ["001100100", "01011"], ["00110100001111", "100"], ["001101010110111", "00010110100111110"], ["001101100", "0100000011"], ["0100011001", "01100001011011"], ["010100000100", "0011"], ["01010011", "01010100000100"], ["01010111000100000101", "010001011001"], ["0101011101010100", "0001001001010000"], ["01011001011", "0100100100"], ["01100001", "01010101"], ["011000010001110000", "100"], ["0111", "10000"], ["01111111", "01011111"], ["1", "0100111110"], ["00011111", "000110001"], ["00100000001000100", "010000000101001"], ["0010010000111100011", "0110000111111"], ["0010010000111101011", "0110000100100"], ["001011110010011", "10010001000110111"], ["001100100110111000101", "01000111111"], ["00110011001", "0101000101"], ["001110000110111", "000111"], ["0100001001", "011010"], ["0100011001", "0111"], ["01001", "0100100100011"], ["01001001010011", "0001"], ["010101110101111001", "01000101010011"], ["0101110001010100000100", "1001000101"], ["01110000", "0111000"], ["01110000", "0111001"], ["011111", "000110101"], ["110101", "000001"], ["0001001", "0100110100"], ["0010000000100", "0100011111"], ["0010010000111100011", "0110000100011"], ["0010100000111", "0100011111101110000"], ["001011", "011"], ["001011100010000000101", "10100111100"], ["001100100010000", "10010001001110000"], ["001101010110111", "00011100000111111"], ["01010100000100", "000100"], ["0101011101000011", "0001001001000010"], ["0110000100100", "01000100"], ["0111", "100110101"], ["00", "011001011111"], ["00001", "0110010111"], ["000100", "01100111110"], ["000100100100001001010111", "01000101"], ["000100100100001001010111", "01010101"], ["0001010111", "1001011010"], ["0010010000101010011", "0110000100111"], ["0011010100", "01"], ["001101010010011000101", "00100111001"], ["010000000100", "0100000100"], ["0100011000010000", "0101001101011000"], ["0100011001000101", "0100000001010011"], ["01000111", "010111000100"], ["01001", "0100111110"], ["01010111000100000101", "010001011111"], ["011", "01011"], ["01100001011", "01101011000"], ["1001110000", "0100010"], ["101", "10011111100100100"], ["00010010010000", "1001010011"], ["0001001001000100", "0100000001010111"], ["000100100101100001010011", "01000000"], ["0010000000100", "011011"], ["001000000010011", "10010001001110000"], ["001001000110111000101", "01000111111"], ["00100100011011100011111", "100110101"], ["00100101001", "010110011111001110000"], ["0010111000100011011", "0110000100100"], ["00111000011", "011100010111"], ["01010100", "01"], ["0101010001011001", "0100000001000101"], ["01010101000100", "000111"], ["01010111000100000100000101", "010011"], ["0110000", "00100100100"], ["01100001001111000010100", "100110011"], ["01100001001111100011111", "000110101"], ["00010010010000000100", "000001010011"], ["001010000", "011100"], ["0010100100101011011", "0110000110010"], ["00110101", "0000"], ["00110101", "0100"], ["0100000101", "1001"], ["010000010101100001011", "01101000110"], ["010001011", "0100111100"], ["0100011000010000", "0111"], ["0100011001", "0110000001001001000010"], ["0101101001", "01000101000100"], ["010111", "1001000010"], ["0101110001010111", "0001001001011001"], ["0101111001", "0101010100000100010110"], ["01100001001", "0101000100"], ["011001000100", "0111001"], ["0010001000101", "0110010100001110000"], ["001001010110111000100", "01100111110"], ["001011110110111", "00011100000111111"], ["010000000100", "00110100011000010110"], ["0100000101", "011000000100"], ["0100011000010000", "0100011001011001"], ["01000110010000", "10"], ["01000111", "010111100100"], ["0101000101", "0011"], ["01010111000100000100000101", "000010"], ["0101011101000011", "0100000100010110"], ["01100001", "01001"], ["011000010010011", "10011100000100011"], ["0110000100101100001", "0100101110000"], ["1001110100", "0110001"], ["1001111000011", "1001"], ["000100100101001001010111", "01010011"], ["00010010011", "10010010000"], ["0010010000111101011", "0110000111111"], ["00101111001", "0100"], ["01000101", "011010"], ["010100010101111101011111", "01000110"], ["01011011", "01011110010000"], ["010111000101", "000101"], ["0101110101000101", "0101111001010010"], ["011001011", "0100111100"], ["0111", "10000100"], ["0111000101", "011001"], ["100111001", "0101"], ["00100100001111", "000010000"], ["001011000110111", "00011100000111000"], ["0010111000111", "0110010000000110100"], ["01000001000100000101", "000101011001"], ["01000111", "00100110100"], ["0101000101011111", "0101110001000010"], ["0101001101011110000", "100"], ["010110100101010101", "01101101000100"], ["01011100000100", "0001000101"], ["010111010100", "0110"], ["01100001001111100", "010110100100010"], ["0110011", "0010"], ["10010111", "100111001"], ["00100", "0110010011"], ["001001100010011", "0011"], ["001011010010111", "10010001000110100"], ["0010111000111", "0100010010000110101"], ["010001", "100111100"], ["01000111", "010111000101011000010110"], ["01010001010111", "01"], ["01011101010000", "10010111"], ["10000111111", "00100100"], ["10010000", "00"], ["10010101", "100110101"], ["10010101", "100111110"], ["10011100", "01"], ["00010010010111", "01"], ["000101", "00100110100"], ["001", "01100001111"], ["00100100011011100010111", "000110101"], ["0010100000100", "00000100"], ["0010111100101010011", "0110000100011"], ["001100010010111", "10011111000100100"], ["001100100010011", "10010100000110101"], ["0100", "100111"], ["01000000000100000101", "11"], ["0100001001", "010001010111"], ["01001", "0110101"], ["010100", "0110110"], ["010101000100", "01000101011101000100"], ["01011010010101010001001001", "010010"], ["0101101001010101010000", "0001010011"], ["01011011", "010100010101111000010110"], ["0101111001", "0100010100"], ["011001111", "0001110000"], ["1010011", "0111"], ["00001", "0110010000"], ["0001001", "0100100010"], ["0001001001011001", "0100011001000101"], ["000111", "00100100010"], ["000111", "101"], ["001001000010011", "10011111001110000"], ["00100100001111000011", "1"], ["0010111000111", "001011"], ["0010111100101001011", "0110000111111"], ["001101000010000000101", "00001110000"], ["0100000101", "011011"], ["0100100100", "0110"], ["01010011", "01000111"], ["01010111", "010000100100"], ["010110110101111001", "01011100010110"], ["0110000100", "0110100"], ["011001", "0100100110100"], ["011001011", "0100100100"], ["0110011", "1011"], ["100001", "010111"], ["0000100000100000011", "0110000100100"], ["00010010010000", "00"], ["0001001001111001", "0101110000010110"], ["0001011", "0100111101"], ["001000000110111", "000111"], ["001010000010000000101", "00101110000"], ["0010101", "10010000"], ["00101101001111", "010010001101110000"], ["0010111100101010011", "0110000111111"], ["010000", "100"], ["01000100", "011101000100"], ["0100011001", "0100010100011001010011"], ["0100011101010111", "0101101000010110"], ["0100100", "0100"], ["0101001101011001", "0101110000010110"], ["0101011000010000", "0101010001011001"], ["0101101001010101000100", "1001110100"], ["010111010100", "011001"], ["01011101010000", "10010000"], ["0101110101011101000100", "1001000010"], ["0110000100011", "01000100"], ["01100001001011110010000", "000100011"], ["011001011", "0100111110"], ["0010001000111", "100001"], ["00100100001", "0100000101"], ["0010010000101010011", "0110000110110"], ["001011110110111", "000011"], ["00110100001111", "000010010100111110"], ["00110101", "001011110010111"], ["0011010100100110011", "0110000100100"], ["0100", "010111"], ["0100000101011001", "0101110001010001"], ["0100011001", "01010101011111"], ["0101011000010000", "0101110101011000"], ["0101011001", "0101010100000000010110"], ["01011010010101010001001001", "011000"], ["01011101000100", "00010111"], ["01011110010111", "00010111"], ["01100", "1001010011"], ["011000010010101", "00010010100100011"], ["011010010000", "0"], ["10010000", "000110100"], ["1001000100", "0111111"], ["100100100", "01110000"], ["00", "001011010011"], ["0001", "100111"], ["000100", "0111111"], ["001000000010000000101", "11100110101"], ["00100100001000000010111", "100110101"], ["0010100000111", "0100010010100111111"], ["00101100", "01101110000"], ["0010111000111", "010011"], ["0011", "01011011"], ["0011010100100001011", "0110000110001"], ["001101010011101", "10011111000110101"], ["001101010110111", "00011101100110001"], ["01", "10010001000110100"], ["01010011000100000101", "11"], ["0101011001", "01010101"], ["0101011101000010000", "1001001000101"], ["010111010100", "0010"], ["01011101010111", "000101"], ["011000010010011", "1001000100"], ["0110000100101000001001", "0100100010"], ["01100001001011000011", "100100100100"], ["0111", "0100"], ["10010011", "0001"], ["00100000001000100011111", "100111111"], ["0010000000111", "010001110000"], ["001000100010000100100", "01000100100"], ["0010100100101011011", "0110000111110"], ["001100100110111000100", "01100111110"], ["00110100001111", "00011"], ["001101010010011", "10010000100110101"], ["010001011", "01000010110"], ["01001111000011", "0101"], ["010100", "100100011"], ["01010011", "01010001"], ["01010011", "010101000100"], ["010100110100011001", "01011100010110"], ["0101101101000011", "0101101000010110"], ["01011111000100", "000100011001011110"], ["100", "100111101"], ["1001000111", "01011011"], ["00000111", "0010000"], ["000100", "0110101"], ["000100100101100001", "0111"], ["0010000000111", "1010011100001110000"], ["001001000110111000111", "10000100010"], ["0010100000111", "1000011111100100100"], ["00110001001", "0101"], ["0011010000100", "0100010100001110000"], ["00110101001111", "00001001010011"], ["010000000101", "00010100011001011111"], ["010000000101", "0100000100"], ["0101011001", "0101010100000101"], ["01011010010101010001001001", "011010"], ["01011101010000", "01"], ["0110000100111", "01000111"], ["1001111100", "0100110"], ["1011", "0110000110001"], ["00010010011", "10010"], ["00010010011100", "10010111"], ["00100", "100101"], ["00100100001111", "000010100100110100"], ["001001000100", "0110001"], ["001001010110111", "000011"], ["00100101011011100010111", "000110101"], ["00101000001111", "010010010001110000"], ["001010010010101", "10011111000110101"], ["0010111000101", "00000101"], ["001100100010011", "0001001"], ["0011001100101011011", "0110000110001"], ["00110100001", "01011011"], ["01", "10011111001110000"], ["01000000000100000101", "110101010000"], ["0100000101011111", "0101110000010110"], ["0100011001011001", "0101111101010011"], ["01011011", "01010001010111"], ["0101110101000100", "0101101001010011"], ["011000010000", "0100001011"], ["011000010010110100", "10010000110001"], ["0110010000", "100110101"], ["1000010000", "000110101"], ["100100", "01000100101"], ["10011", "0110"], ["00000011", "0010000"], ["00000101", "0010101"], ["000100100101001001000111", "01000010"], ["00010010010111", "0101011011"], ["0001011011", "01000010"], ["001001110010011", "10011111000100011"], ["0011", "0001"], ["001100100010011", "10010001000110111"], ["01000111", "100"], ["01001001", "011111"], ["0101000101011111", "0101110001000101"], ["0101001101010011", "0101100100010110"], ["01010101", "01000100"], ["01010111010000100001001001", "011001"], ["01011011", "0101110001011011"], ["0110000100", "011001001"], ["01100001000011", "01001011"], ["011000010010011", "000100"], ["01100001001111", "01001011"], ["100", "100110101"], ["10000", "1000011"], ["10010111", "100111111"], ["000100100100", "011001"], ["00010100", "100111101"], ["0010100", "100110100"], ["0010100100101011011", "0110000111100"], ["001010010010111", "10011101000110101"], ["0011", "0010"], ["001101010010101", "10011111101110000"], ["00110111001", "010110010100001110000"], ["010001100101100001010111", "01011111"], ["01000111", "01000010010000"], ["01001001", "0100100011"], ["01001011000100000101", "110101010000"], ["010100000100", "01010100011000010110"], ["01010011", "010100"], ["01010111000100000101", "011001010011"], ["01011", "0100100011"], ["0101110001011111", "0100011000010110"], ["0101110101000111", "0101110000010110"], ["0110000100001111", "0011"], ["011001111", "0000111100"], ["100", "01"], ["10010101", "100110001"], ["00010010010101000101", "101101000101"], ["0010100", "100100010"], ["001100100110111", "00001100000111000"], ["00110011", "00101111001"], ["001100110010011", "10010111100110001"], ["001101100010011", "000100"], ["00111000011", "011100010110100111110"], ["0100", "01011010"], ["0100000101011001", "0101011001010011"], ["01000101", "01011110"], ["01001", "010010000"], ["010100", "0110101"], ["010101110101110101", "01000001010011"], ["01011011010111100100", "011001010011"], ["01011101000100", "000100000101"], ["01011101010000", "10000100"], ["01011101010101", "00"], ["01011101010111", "01"], ["01100001", "01011111"], ["100111111", "00110011"], ["000100100101001001", "01011100010110"], ["000100100101010001010111", "01000101"], ["00011111", "000111001"], ["0010000000111", "100001011"], ["001001000010111", "10011111001110000"], ["001001000011110100111111", "01110000"], ["0010011100111", "0100010100100100010"], ["00101000001000000", "011111"], ["0010100000101", "00"], ["0010100000101101001011", "0100111100"], ["0010111000100", "0110010100101110000"], ["001011100011101", "10011111001110000"], ["00110001001111", "01011"], ["001101010011", "10010010001101110000"], ["01000000000100000101", "001101011000"], ["0101000101", "0101010101110001000010"], ["0101000101", "1111"], ["01011", "01001000011"], ["01011001", "0100100111110"], ["0101100101011001", "0101110001010001"], ["011000010010110100100", "01100100101"], ["01100001001110100011111", "000110001"], ["01100001001111000010100", "100100011"], ["0110010000", "101110000"], ["01111", "01100"], ["100001", "011001"], ["00", "0110000"], ["0000", "011100000110101"], ["00001001001", "01011011"], ["0001001001010011", "0101101001010111"], ["0010100000100", "0110010100101110000"], ["0100000101000100", "0101011101000100"], ["01000111", "01011101000100"], ["0101001101000010000", "1001001"], ["01010101", "01010011"], ["01010111000100000101", "000001010011"], ["0101101101000100", "0101101101011001"], ["0101110101010110000", "10010011"], ["01100001001110010010010000", "110101"], ["01111111", "01011001"], ["1001001", "011"], ["0001001", "0100110111"], ["00010010011100", "01010000"], ["0010000000111100001", "0100001110000"], ["00100010001011110010000", "001110000"], ["00100011001000100", "010100101110000"], ["001001010110111", "00011101100111001"], ["001010010010101", "10011010101110000"], ["0010100100101011011", "0110000111111"], ["0010111100101010011", "0110000100111"], ["0011010100100", "0100011010101110000"], ["0100001001010001010000", "0001000010"], ["0100010100", "100110011"], ["0100011000010000", "0100010101010111"], ["0100011001011111", "0001001001010111"], ["010010000", "000110001"], ["010101100100", "01000100100"], ["0101101101011111", "0101110001010111"], ["0110000", "000101"], ["01100001", "01000010"], ["011000010000", "000000100"], ["0110000100001111", "001111"], ["01100001001111100", "0100"], ["1001011", "0100111100"], ["1001011", "0101110000"], ["0000", "10010010000"], ["000100", "010010000"], ["000100100100", "1001"], ["0001001001000100", "0101101001000100"], ["0001001010011", "0001"], ["00100", "1001"], ["00100000011", "011100010111"], ["001001010110111", "00010001100110110"], ["001010010010101", "10010001001110000"], ["0010111000111", "1010011100001110000"], ["00101110001111000011", "100001110000"], ["001011110011", "0111011"], ["0011001000111", "0100010001100100010"], ["0011001000111", "0100010100100100010"], ["00110010011011100010111", "100111111"], ["00110011001111", "010011100001110000"], ["001101010010111", "10011100000110101"], ["0100000001010101", "0001001001010111"], ["010001011", "0100111001"], ["01001001", "011001"], ["01010011", "01000110"], ["01010111", "0100001001000100"], ["010111", "01000010"], ["011000010010000", "10010001000110101"], ["0110001001", "010111"], ["1001110000", "0111111"], ["00010010011", "01001"], ["0010000000111", "100001111100"], ["0010111000111100001110000", "0111000"], ["001011110110111", "00001111"], ["0011001000111", "101001"], ["00110010001110100011111", "000110001"], ["00110011", "00100101011"], ["00110100001111", "000010100101110000"], ["001101100", "0100001011"], ["01000001000100000101", "010001011001"], ["010000100101110001010011", "01001111"], ["0100010001010101", "1001"], ["01001011", "01000011"], ["01001110000", "0100011"], ["010100000101", "01010101011101011000"], ["01010011010111", "000100000101011001"], ["0101011000010000", "0100010101011111"], ["01010111", "0101000100"], ["01010111", "010111000100101100010110"], ["010101110100001001", "01001101011010"], ["01011001111100", "0110001"], ["010111000101", "0000"], ["010111010101110101", "01011100010110"], ["010111100100", "0101"], ["01011111", "01000110"], ["01100001001", "011010010000"], ["011011", "01000000"], ["0111", "000100"], ["01110011", "01000101"], ["00010010010111", "0101010111"], ["001000100010000100100", "01000100011"], ["0010010000111101011", "0110000100111"], ["0010100000100", "00000111"], ["001010010110111", "00010111"], ["001011010110111", "000100"], ["0010111000101000011", "0110000110001"], ["001011100110111", "000111"], ["0011000100", "11"], ["0011001000100110001001", "0100100000"], ["0011010000100", "01000111"], ["0100000101000100", "0100000001010111"], ["0100000101011001", "0101010101011000"], ["0100001001", "01000101"], ["01000010010000", "100101011101000101"], ["01010011", "010101100100011001010011"], ["0101001101010111", "0101011100010110"], ["010101110100001001", "01001101000010"], ["0101011101010100000100", "1001000001"], ["01011", "0100111001"], ["0101101001", "0101010101011000010110"], ["0101101001", "0101010101110000010110"], ["011000010000011100100", "01001110000"], ["0110001001", "011111"], ["011001000100", "0110011"], ["0111", "010101010101"], ["000000100", "01000010010000"], ["000011", "000010000"], ["000100100100", "01000100010101011001"], ["000100100111111", "0010111"], ["00100", "010011"], ["001001010110111000101", "01000111111"], ["0010100100101011011", "0110000111000"], ["0010101000101", "011011"], ["001011100011110000", "1001010011"], ["00101111001", "011010010000"], ["001100100110111", "000011"], ["001110000110111", "00010001100110110"], ["010001011", "0101110000"], ["01001", "0100110011"], ["010011", "01000101"], ["01010101", "01010111"], ["010110100101010101", "00101100010110"], ["010111010100", "01"], ["011", "0100111001"], ["01100001001111", "010010010000111111"], ["0001001001", "011100010111"], ["0001001001010011", "0101110101000011"], ["000100100101100001", "01011101000100"], ["000100100111100", "0010111"], ["0010000000111", "0100010100100100010"], ["0010111101101110000", "0011"], ["0011001100101011011", "0110000100100"], ["01000001010000", "0001010111"], ["0100001001", "01010101"], ["0100001001", "010101010111"], ["01000111", "01000000"], ["0101000101", "0101010100000100010110"], ["0101000101", "0101010101011000010110"], ["01010101", "000101000010"], ["01011001", "010111"], ["01011100000100000100", "011001011001"], ["0101110001010100", "0001001001011001"], ["011", "0100100101"], ["0110000100100110001011", "0100100110"], ["0110000100101100001010010011", "0101"], ["011011", "01010001"], ["0000", "0"], ["00010010010111", "1001010111"], ["00100", "0100011101000100"], ["00100000001011", "010010011101110000"], ["0010100000111", "101001"], ["0010100000111", "10100111111"], ["0010100000111101011", "0110000110001"], ["0010100100101011011", "0110000110100"], ["001100110010111", "10011100000110101"], ["0011010100100001011", "0110000110010"], ["01000101011111", "01010011"], ["0100011001", "0101010100000100010110"], ["0100011001010111", "01011010"], ["0101001101000100", "0101011101000100"], ["010101000101", "000101"], ["0101010100000101", "000101"], ["01010111", "010100"], ["01011001111100", "0111001"], ["0101101101010011", "0101001101011000"], ["0101111101010101", "0100000100010110"], ["0101111101010101", "0101011000010110"], ["01100001000001100", "010100101110000"], ["011000010010011", "00010100100110001"], ["0111", "01000010"], ["10010000", "000111111"], ["10010101", "100111000"], ["0001001001000100", "0101101101011011"], ["00010010010100010100", "011001000010"], ["0001001001011111", "0100000000010110"], ["00010010011001", "01010111"], ["0010000000100", "01000100"], ["00100100001", "01001001"], ["001001100110111", "00011100000111111"], ["0010100000100", "0010010001000110001"], ["0010111", "1001001"], ["001100110010111", "10011100000111001"], ["01000000000100000101", "101101011000"], ["010000000101000101", "0000"], ["010001010111", "01011000"], ["010001110100001001", "01011100010110"], ["010010010000", "01"], ["01010011010111", "100100101100010110"], ["0101101101000011", "0001001001010111"], ["01011100000100", "0001100001"], ["01011101010111", "110101"], ["01011111000100", "000111"], ["011000010010000", "10010101000110110"], ["0110000100111100", "0010100100100000"], ["011100000100", "010"], ["1001000100", "0111011"], ["10010111", "000110101"], ["10011", "01010011"], ["10011", "010100110101"], ["000100100100000001010011", "01000100"], ["0001001001010001010111", "1001011010"], ["00100010001000010010000", "100111101"], ["001001000010000000111", "00000100011"], ["0010011", "0010"], ["00101000001000000", "011100000111111"], ["0010100000101101001011", "0100111110"], ["00101001001", "010110010100001110000"], ["00110100", "0110"], ["001101010010011", "10011101000110101"], ["010000000100", "011001"], ["0100000100", "101"], ["0100000101000100", "0101001101000010"], ["0100011001000111", "0101110100010110"], ["010001110101111001", "01011001010011"], ["0101011101010001010000", "0000010110"], ["0101101001", "01000101"], ["010110100101000101000100", "01010011"], ["0101101001010101000100", "1001110101"], ["0110000", "000110"], ["0110000100", "010111"], ["011001", "01001"], ["0111", "01000110"], ["100111", "01100110001"], ["1001111", "0000100100"], ["000101", "101101011000"], ["0010000000100", "0000011111101110000"], ["00100000001000000", "011010101110000"], ["0010011", "1001000100"], ["0010011000100", "00"], ["001010010010111", "10011111101110000"], ["001100110010011", "10011100000111001"], ["001110000", "0111"], ["01000001010000", "00010111"], ["010001001010011", "0110"], ["01001", "0100100100010"], ["010010010000", "0"], ["0101000001001001000100", "1001000010"], ["01010001010111", "0001000111"], ["01010111", "01000110"], ["0101110001010011", "0101111001000011"], ["01011101010000100100", "011000010110"], ["01011111", "010100010101110000010110"], ["01100001", "01010011"], ["0110000100", "01100100"], ["0110000100100110001011", "0100100011"], ["01111011", "01011110000"], ["1001111", "0000111100"], ["1011", "01011011"], ["00001001", "0100100100"], ["00010010010111", "1001010011"], ["0010001100110111011", "0110000100100"], ["00100100001011", "010011100000111001"], ["00101100001111", "01011"], ["00101111001", "0100000100"], ["001100100", "0101"], ["001100100110111000101", "00000110101"], ["001101010010111", "10010010100111110"], ["010000000101", "001101011000"], ["0100000001011", "01100"], ["01000111", "0101110001010011"], ["010011", "00010110"], ["0101000100", "0100000101"], ["0101000101000100", "0101011101010010"], ["0101001101000011", "0100011000010110"], ["0101011101000011", "0001001001011111"], ["0101101001010101000100", "1001110111"], ["010111000101", "01010100000100010110"], ["0101110101000101", "0100000000010110"], ["01100001000011", "00001111100"], ["011000010010001100100", "01100100010"], ["01100001001111000010100", "100111100"], ["1001", "01011101010111"], ["1001001111", "011"], ["1001111", "0100100101"], ["000100", "0000"], ["00011001", "0"], ["0010000000101001001", "0100101110000"], ["00100011001", "010110010111"], ["00100100001111", "010010100101110000"], ["00101100001", "010110010100001110000"], ["001101000010000000101", "00000110101"], ["001101000010100", "10010010001110000"], ["01", "10011111000100011"], ["01000100", "0011"], ["0101000101", "01100001011011"], ["01010011010111100100", "011000010110"], ["01010111", "01011101010000"], ["01010111000100000100", "001001000100"], ["0101110001010111", "0001001001011111"], ["0101111001", "0100010100011001010011"], ["0101111001011100010111", "0101000001"], ["0110000100100", "0110011"], ["011000010010101000101", "00100100011"], ["011000011", "1010"], ["0110010000", "000100100"], ["00", "10010111"], ["000100100110000", "0010111"], ["000101", "00100100011"], ["001000100010111", "10010001001110000"], ["00100100001", "0100000100"], ["00100100001011", "0100100"], ["0010010000111100001011", "0100111100"], ["00101001001010110110110000", "010010"], ["001011000010111", "10010001001110000"], ["0010111000100000011", "0110000100111"], ["0011001000111010011", "0110000111111"], ["00110100001111", "010011100000100010"], ["0100000101", "10"], ["0100011001011001", "0100010001010011"], ["01000111", "01000010000"], ["01001011000100000101", "001101011000"], ["0101", "0"], ["0101000101", "00001001"], ["01010111", "01011110010000"], ["0101101001010101000100", "1001011111"], ["0101101101010100", "0101011100010110"], ["010111000101", "1000"], ["011000010010000", "10011101000110101"], ["011000010010011", "00010100100100010"], ["011000010010111", "10011100000100100"], ["0110000100111101001110000", "0100010"], ["0110011", "1000"], ["01110001011", "0100100011"], ["0111101001", "011111"], ["0000100", "010"], ["0001001001000011", "0100011001000100"], ["0001001001000111", "0101110101000100"], ["0001001001011111", "0100010001010011"], ["000101", "00100110011"], ["00100011001", "010110010100100111110"], ["00100100001110000", "010100100111110"], ["001001010110111", "00001111"], ["00101001001010110110110000", "010001"], ["0010110100111", "011001"], ["001011110011101000100", "01101110000"], ["001100100010011", "10010101100111110"], ["001100110010101", "10011111100100011"], ["001110000110111", "00010010100111110"], ["0100000001011001", "0101000101010111"], ["010001110100001001", "01101101011000"], ["0101", "010000"], ["0101011000010000", "0101110101010000"], ["0101011001", "010101010111"], ["01010111", "01011100"], ["0101011101000011", "0101011100010110"], ["01010111010111100100", "011001000101"], ["0101110101", "01011101000100"], ["010111010100", "00110100011000010110"], ["011000010000", "010100"], ["01100001000011", "00001011"], ["0110010000", "100110010"], ["1001111", "00001001"], ["0000", "1000011"], ["0001001001000011", "0101101001011001"], ["00010010010100010001001001", "010101"], ["000100100110001001", "0111"], ["0010010000111100001011", "0100100100"], ["00101101011", "011100010111"], ["0010111", "1001110000"], ["0010111000100", "00100"], ["001011110010101", "10011111101110000"], ["00110100", "0110111"], ["001101010010101", "10011111000100011"], ["001101100010011000100", "01101110000"], ["01000000", "0110101"], ["01000001000100000101", "011001010011"], ["010001010101100001", "0111"], ["010100010101111101011111", "01011011"], ["010100110100001001", "01011000010110"], ["01011011", "01011100"], ["0101111101011111", "0100000101000010"], ["01100001001", "01100001111100"], ["011000010011101000111", "01100111111"], ["01100001001111100", "0111"], ["011001001", "0100100100"], ["00000000", "001010000"], ["00000000001010000", "011100000110101"], ["0001001001000011", "0101011101010101"], ["0001001001011111", "0101110001010011"], ["000101", "000010000"], ["0010001000101", "0110011111101110000"], ["0010010000111100", "0010101"], ["001001000110111", "00010110101110000"], ["001001000110111000100", "00100111111"], ["0010011000111", "100001011"], ["0010100000101", "0110010100001110000"], ["0010111000111", "00"], ["00110011", "00101101001"], ["0100000001011001", "0100011001011111"], ["01000011", "01000011"], ["0100011001011111", "0001001001010100"], ["01010101", "0100001001010011"], ["01010111", "010111000101"], ["0101101101010101", "0101011000010110"], ["01100001000111", "0100100"], ["011000010010111", "10010000000111100"], ["01100001001110010010010000", "111111"], ["0110010111", "100100100"], ["10011110000100", "011"], ["000000100", "010111"], ["0001001001001001", "0101011101010111"], ["00100100001", "01011011"], ["0010010000100", "0110010111000110101"], ["0010100100101011011", "0110000111001"], ["001011", "0100100100"], ["001011", "0100111110"], ["0010111000111100001", "0111100110101"], ["0011000100100", "0100010110100101001"], ["0011010100100110011", "0110000110001"], ["010000000101", "0001"], ["010000000101", "010101000100"], ["01000000010101010100000101", "000101"], ["01000001000100000100", "010101011110"], ["0100000101", "000110"], ["010001001", "0100111101"], ["01010011", "01011110010111"], ["010101000101", "00010110"], ["010110010101", "100111001"], ["010110100100", "0101"], ["0101110001000100", "0001001001011001"], ["011000010011101000100", "10100111101"], ["011001", "01"], ["011100000101", "1111"], ["011111", "1001011111"], ["1001000100", "011010101110000"], ["0000110000", "10011"], ["0001001001000111", "0101101001010011"], ["00010010010101000100", "011101000100"], ["0010001000111", "0100010100100110100"], ["001001000010000", "00110110000"], ["00101001001010110110110000", "010011"], ["0010111000111", "0110010001000100100"], ["0010111000111", "10100111111"], ["0010111000111011001110000", "0111000"], ["001011110110111", "0001011"], ["001100100110111", "00001111"], ["0011001100100111001", "0100100100011"], ["0100000001010101", "0001001001000010"], ["01000100", "10000111111"], ["0100100", "100111"], ["01001010011", "0101"], ["01001011000100000101", "11"], ["0101001101000100", "0100011001010011"], ["01010101", "01000010010111"], ["0101011000010000", "0101000001010011"], ["0101101001010101000100", "1001011110"], ["0101110101000101", "0101110001000010"], ["0101110101010110000", "1001001010111"], ["0101111001", "0101"], ["01011111", "01010001010000"], ["01100001001", "010110010000"], ["01100100", "01001110000"], ["0110010000", "000110001"], ["1001", "0100111100"], ["0001001001010001010000", "1001000110"], ["000100100101100001", "01011101010111"], ["000100100111", "011001"], ["00010010011100", "01"], ["00010010011100", "0101011111"], ["0001001001111", "0010100"], ["0001011011", "01000101"], ["001000000010011", "10010001000100011"], ["0010001000111", "10000"], ["0010010000100", "01000100"], ["00100100001101100", "0111"], ["001001000110111000100", "01100111110"], ["001010010010000", "1011"], ["0010100100101011011", "0110000110111"], ["0010111", "000110111"], ["0011001100100111001", "0101"], ["00110100", "001011110010000"], ["0011010100111101011", "0110000110001"], ["00111", "011001"], ["010000000101010101010111", "00010110"], ["010001001010011", "0111"], ["01001011000100000101", "101101011000"], ["01010011", "010111100100000100010110"], ["01010111000100", "000110011001011110"], ["0101101101011110010000", "0101000010"], ["0101110101011110000", "1001001000101"], ["01100001", "01011001"], ["011000010000", "01110011"], ["0110000100001111", "0010000"], ["011000010011100100100", "01100100010"], ["0110001001", "011001"], ["1001110010101", "100111000"], ["1001111", "0000111111"], ["00000000", "00100011001"], ["000000000011", "10110011111100100100"], ["0000100000111", "010011"], ["000100100100001001010111", "01011010"], ["000100100111111", "0"], ["000101", "010010000"], ["00100", "100111"], ["0010000000101", "0000011100000110101"], ["0010011", "0110"], ["00101000001000000010111", "100111100"], ["0010111100101010011", "0110000110011"], ["0010111100111", "0100110110000"], ["010000000101", "1010"], ["01000001000100000101", "110101011000"], ["01000100", "0101000101"], ["0100011001011000000100", "1001010111"], ["01000111", "010000100100"], ["01000111", "010100"], ["01010111000100000100000101", "011001"], ["0101011101010011", "0100011001011111"], ["01011010010100010100", "000100010110"], ["01011010010101010001001001", "010001"], ["0101110001010100", "0001001001011111"], ["010111100100", "01010101"], ["010111110101000101", "01101101011000"], ["0101111101011111", "0100000001010011"], ["0110000100101111001", "0101000100100"], ["0110011001", "011001"], ["0111", "01010010"], ["0111101001", "010101000100"], ["01111111", "01010101"], ["100", "01110000"], ["1001", "01011101010010"], ["10010000", "000101001"], ["000010100", "100111110"], ["000100", "0110001"], ["0001001001", "010010010000"], ["0010010000111100011", "0110000111001"], ["00100111001", "0100000100"], ["0010100000101", "00000101"], ["00101001001010110110110000", "011110"], ["001100100", "01010110010000"], ["0011001100101011001", "0100101110000"], ["01001001010011", "0101"], ["010100", "000100010110"], ["010100010101110001000111", "01010010"], ["01010011010000100100", "011000010110"], ["010101010101000101", "01101101011000"], ["010111000101", "1010"], ["0101110001010100000100", "1001000001"], ["0101110101011110000", "1001001000001"], ["0110000100", "0110000"], ["01100001001111", "01001001"], ["01100001001111000010100", "100110001"], ["0110010000", "000111100"], ["0110011", "001011111"], ["011111", "1001011001"], ["10010111", "01"], ["0001001001000111", "0101101001011001"], ["0001001001010001010101", "0001000010"], ["001000100010000", "10010001000110100"], ["0010010000100", "0100011010101110000"], ["001001000110111000100", "10000110101"], ["0010100", "10011"], ["0010100", "10011110000100"], ["0010100000100", "0100010000001110000"], ["0010100100111", "010011"], ["0010111101101110000", "0000"], ["0011", "01011111"], ["00110001001111", "000010100100100011"], ["0011001001101110001011", "0100111100"], ["00110010011011100010111", "000110101"], ["00111111", "01110000"], ["01000010010000", "10"], ["010001100101100001010111", "01001111"], ["010101000100", "0101"], ["0101010001011001", "0101111001011011"], ["01010111000100000101", "001101011010"], ["010101110100011001", "01011101011000"], ["010101110101110101", "01011101011000"], ["01011001", "010101010101011000010110"], ["0101101001010101000100", "1001111000"], ["010111000101", "01000100000100010110"], ["0110000100100011001011", "0100111110"], ["011000010010100000100", "01100100101"], ["0110000100101111011", "0110000110011"], ["0111", "0011000100"], ["0111", "01011011"], ["1111", "01000011"], ["000011", "010010111"], ["0001001001000111", "0101110101000011"], ["000101", "00000111"], ["0001010111", "01010111"], ["001001000110111000101", "00000110101"], ["0010010101101110001011", "0100100011"], ["0010100000100", "011011"], ["00101001001010110110110000", "000101"], ["001011000010101", "10011111101110000"], ["001011100011111", "000100"], ["0011001000111", "0100010110100100100"], ["001101010110111", "000011"], ["0011100000101011001", "0110100100010"], ["01000001000100000101", "000001010011"], ["01000110010000", "1001011011"], ["01010011", "01011101"], ["01010111000100000101", "101101000101"], ["010110010101", "100110001"], ["010110110101111001", "01000101011010"], ["010111000101", "01000101011101010010"], ["01011101010000100100", "011001011110"], ["0111", "000100010"], ["100100110011", "0"], ["1011", "01010011"], ["0001", "100100"], ["0001001001", "0101010100010001010011"], ["000100100110000", "001010011"], ["000100100111100", "0"], ["00010010011111", "0101"], ["0010000000100", "0100010000000110101"], ["0010001000100", "0100011100100110100"], ["001001", "0100111100"], ["00100101001", "010110010111"], ["0010100", "100111100"], ["001010000", "0110100"], ["0010111000111", "0110011111101110000"], ["01000000000100000100", "011001011001"], ["010000000101", "00010100011001010011"], ["01000000010111", "01"], ["010001100101100001011011", "01000101"], ["0100011101000011", "0101011100010110"], ["01001111", "0000111111"], ["010100", "0001010111"], ["0101000101011111", "01010011"], ["0101010001011111", "0100000001010011"], ["0101100001", "011111"], ["0101101001010101000100", "1001011001"], ["010110110101110101", "01011100010110"], ["010111000100", "0000"], ["01011101000100000101", "000001010011"], ["0101110101000101", "0100011001011110"], ["011000010000", "001100100"], ["0110000100100", "0110010010100111100"], ["011000010010000", "10011111001110000"], ["0111", "01000000"], ["00001110000", "111111"], ["0001001001000011", "0101011101000100"], ["0001001001011111", "0100011101000010"], ["0001001001100011", "0100011001010111"], ["001001", "0100100"], ["001001000011110000100", "01001110000"], ["001001000110111000100", "00100110001"], ["0010010101101110001011", "0100100100"], ["0010100000100", "0100010100101110000"], ["0010100000111", "0100010100100110100"], ["00101000011", "0111"], ["0010101000111", "101011"], ["0010111000100000011", "0110000111001"], ["001100110110111", "00010010100111110"], ["00110101", "001011"], ["001101010110111", "00001111"], ["010000000101110101", "01001101011000"], ["0100000101000100", "0001001001011001"], ["0100011001000011", "0001001001010111"], ["01000110010111", "000100101100010110"], ["01010011", "01001111"], ["0101001101011001", "0101110001000101"], ["01010111000100000101", "111101010111"], ["01010111000100000101", "111101011001"], ["0101110101010011", "01011000"], ["01100001001000100", "010110100100100"], ["011000010011101000100", "10001110000"], ["0111", "01010101"], ["0111001101000101", "0100000101000010"], ["1001011011", "01000010"], ["100111", "01100111001"], ["000001100", "010101"], ["000100100101100001010011", "01000101"], ["00010010011", "000100"], ["00100000001011", "010011100000111001"], ["00100000001111000011", "100001110000"], ["0010010000100", "0110010100100111110"], ["001001000110111", "00000100"], ["001010000010000000101", "00100100011"], ["001010000011100000101", "00100100010"], ["001011", "01010011"], ["001011010010111", "10011100000110101"], ["0011001000111", "0100110110000100100"], ["00110100", "001011000010000"], ["00110100001111", "010010100101110000"], ["0100000001010101", "0101001101000010"], ["010001001", "0100111100"], ["0100010101011000010111", "0100010110"], ["01000111", "0101000101"], ["010010101", "0"], ["010011", "100100111100"], ["010101000101011001", "01101101010101"], ["01010101000100000100", "011001011001"], ["0101011001", "01000101"], ["010101110101000101", "00"], ["0101101001", "010101010111"], ["01011011", "0100101001"], ["01011011", "0101000101"], ["01011011", "010111000100"], ["01011011", "01011110010111"], ["01011100000100", "00"], ["0101110001000100", "0101110100010110"], ["0101110001010100", "0001001001011110"], ["01011110010111", "0001011011"], ["011001000100", "0110101"], ["011001001", "0100100011"], ["1001000100", "0111100"], ["1001110000", "0110011"], ["00010010011", "0010101"], ["000100100111100001", "01011100010110"], ["00010010011110010100", "011000010110"], ["0001010001", "1001000010"], ["000101100", "010111"], ["000111", "00100111101"], ["001000100", "0110111"], ["0010010000101010011", "0110000111000"], ["001001000010111", "10010100001110000"], ["0010100", "100110101"], ["0010100000101", "1010010100101110000"], ["001011000011", "101"], ["0010111000100000011", "0110000100011"], ["001011110110111", "00000101"], ["001100100110111", "00011101100111000"], ["0011010000100", "011011"], ["00110100001111", "10011"], ["00110101001111", "000011"], ["0100000100", "010000011111"], ["01000001000100000101", "001101011010"], ["0100000101", "0111000101"], ["0100011001000100", "0101111001010011"], ["0101001101011100010111", "1001010011"], ["01011011", "01010000"], ["01011011010111000101", "011100010110"], ["0101101101011110000", "10010011"], ["0110000001", "010011"], ["0110000100101111011", "0110000100000"], ["0110000100101111011", "0110000111101"], ["01111011", "01000100"], ["011111", "000111111"], ["100100", "01101110000"], ["10010000", "000100011"], ["1001001", "0100111100"], ["10010111", "000111100"], ["0000", "0111001111"], ["00000000001111", "01011"], ["00000011", "0010101"], ["000100100111", "0110010000"], ["00010011", "0010101"], ["0010000000100", "0000011100001110000"], ["001001", "0100111110"], ["00100100011011100011111", "100111111"], ["0010100000101", "0100010100101110000"], ["001010100010011", "10010001000110111"], ["001011010110111", "000111"], ["00101111001011010010000", "000100101"], ["001100100010011", "000100"], ["001100100010101", "10011111101110000"], ["001100100011111", "00010100100110011"], ["00110011", "001000100"], ["0011001100100011001", "0110100111110"], ["001101010010011", "00010010100100011"], ["001101010010011000101", "00100101001"], ["01000000010111", "10000"], ["01000010010000", "1001010111"], ["010100000100", "0100"], ["0101011000010000", "0101001101000010"], ["0101011001", "010111"], ["01010111", "01000000010111"], ["01010111010000100001001001", "011111"], ["0101011101000011", "0001001001000001"], ["011", "01001"], ["01100001000111", "01001"], ["011000010010111", "10011110000100000"], ["0110000100111101001", "0100100110011"], ["1", "01100010110"], ["00000101", "1010"], ["000100100100", "01010100000101010011"], ["000100100101001001", "01011101010101"], ["000101", "001101011000"], ["00011111", "100110001"], ["001001000010000", "00011100000110101"], ["001001000010000000101", "00000110101"], ["0010010001101110001011", "0100111100"], ["001001100010111", "10010010100111110"], ["001001110110111", "000101"], ["0010100000101", "001001"], ["001011000010000", "10011111000110101"], ["0010110100100", "0100010001100100111"], ["0010111100101001011", "0110000100111"], ["0010111100101010011", "0110000111000"], ["00110100", "0010101000101"], ["010000000101000101", "0111000101"], ["0100000001010001010111", "1001011111"], ["0100000101", "010101"], ["010010011", "100110101"], ["0101000101", "010101010000"], ["0101000101011001", "0101001101011010"], ["0101001101000100", "0101011101000101"], ["01010111000100000101", "001101000100"], ["01010111000100000101", "011001011111"], ["01011100000100000100", "000001010011"], ["0101110001010111", "0001001001000001"], ["01011101000100", "000101101001"], ["0110000100101100001010010011", "0011"], ["0111", "000111111"], ["10011", "00001"], ["000100100", "010101"], ["000100100", "010111"], ["00010010010000", "10010111"], ["0001001001011111", "0100011001011110"], ["0001001001111", "01001010011"], ["001001000010000000101", "00001110000"], ["00100100001111", "00001111100"], ["001001000110111000100", "10000111001"], ["00101000001000000011111", "100100100"], ["0010111", "0001001"], ["0010111100101001011", "0110000111001"], ["0011", "1000"], ["001101100010000", "10011111000111011"], ["01000010010000", "1001011011"], ["0100010001010101", "0100000001000101"], ["01000110010000", "1001000111"], ["0100011001010101010000", "0001000101"], ["010011", "01011011"], ["0101001101000011", "0001001001000101"], ["0101001101010100", "0101011100010110"], ["0101001111", "00"], ["01010100", "01010011"], ["01010111", "0100000101000111"], ["0101110101000101", "0100000100010110"], ["011000010000", "0101"], ["01100001000011", "0000100"], ["01100001000111", "010010111"], ["011000010010100", "10011111000111111"], ["0110000100111101001110000", "0111111"], ["011001", "0101011111"], ["01111111", "0101000101"], ["101001", "01001"], ["00001100", "0010101"], ["000100", "01001111"], ["0001001001000000010111", "0101000101"], ["000100100100001001010111", "01000110"], ["000100100100001001010111", "01011011"], ["00010010010111000101", "001101000010"], ["001001110110111", "000011"], ["0010111100101010011", "0110000111001"], ["001100100110111", "00011101100111001"], ["001100110010000", "0011"], ["001100110010000", "10011100100110111"], ["001101110010011", "10010001000110111"], ["0011011100101011001111100", "0100011"], ["010000000101", "01010100000100010110"], ["0100000001011001", "0101011101000101"], ["0100000001011111", "0100011101010001"], ["01000001000100000100", "010101011111"], ["010000010101100001", "0111"], ["0100010101011111", "0100011101011010"], ["01001011", "0100111110"], ["01001011000100000100", "011001011001"], ["0101", "1001000100"], ["0101000101011111", "00010110"], ["010100110100001001", "01000101011110"], ["0101001101010010010111", "1001010011"], ["0101011000010000", "0101000101011001"], ["0101011000010000", "011111"], ["01010111", "01010001010111"], ["0101011101010100", "0001001001011110"], ["0101011101010100000100", "1001000101"], ["01011", "0100111100"], ["0101101001010101000100", "1001111011"], ["0101101101000100", "0101011100010110"], ["0101101101011100010111", "1000010110"], ["010111", "01000001"], ["010111100101110001010111", "01010010"], ["01100", "011"], ["011000010000", "01000011"], ["0110000100110111", "0010100100110001"], ["0110010111", "000111100"], ["01100111", "0101111001"], ["1001", "010001"], ["1001", "011000"], ["10010011", "0"], ["10010101", "000111001"], ["000100100111", "010001010111"], ["0001001001110010010000", "0001011111"], ["0001001001111", "010010111"], ["00010011", "0010011"], ["001", "0101000101011001"], ["0010000000111", "1010010100100110100"], ["0010000000111100001", "0111100111000"], ["0010010000100", "011011"], ["0010010000111100011", "0110000100111"], ["0010100000100", "0010011"], ["0010111000111100011", "0110000110001"], ["0010111100111101011", "0110000110001"], ["0011001100101011001011", "0100100100"], ["00110100001111", "010010100100110100"], ["00111001", "0110111"], ["010000", "0110001"], ["0100000101000100", "0101110101000100"], ["01000010010000", "00010111"], ["010001010101000101", "00101100010110"], ["0100011001011000010000", "0001010011"], ["0101000101010001010111", "0000010110"], ["01010101", "0101111001"], ["0101010101000101", "011001"], ["0101011001", "010001010111"]]}