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Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Problem description. Vipul is a hardworking super-hero who maintains the bracket ratio of all the strings in the world. Recently he indulged...	<think> Okay, I need to solve this problem where I have to determine if the brackets in a given string are balanced. Hmm, let's think about how to approach this. So, the problem says that for each test case, I get a string S, and I have to output YES if the brackets are balanced, otherwise NO. The brackets are the reg...	0	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Problem description.\nVipul is a hardworking super-hero who maintains the bracket ratio of all the ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Given a string s. Can you make it a palindrome by deleting exactly one character? Note that size of the string after deletion would be one l...	<think> Okay, I need to solve this problem where I have to determine if a given string can become a palindrome by deleting exactly one character. Hmm, let's think about how to approach this. So, the problem says that after deleting exactly one character, the resulting string should be a palindrome. The output is YES o...	4	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Given a string s. Can you make it a palindrome by deleting exactly one character? Note that size of...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Vasily the Programmer loves romance, so this year he decided to illuminate his room with candles. Vasily has a candles.When Vasily lights u...	<think> Okay, I need to solve this problem where Vasily has some candles and can create new ones from the leftovers. The goal is to find out how many hours he can keep the room lit. Let's think about how to approach this. So, the problem says that each candle burns for exactly one hour. After burning, it becomes a 'we...	37	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Vasily the Programmer loves romance, so this year he decided to illuminate his room with candles.\n...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.The Chef likes to stay in touch with his staff. So, the Chef, the head server, and the sous-chef all carry two-way transceivers so they can ...	<think> Okay, I need to solve this problem where I have to determine if three people can communicate with each other, either directly or through an intermediate. Let's see the problem statement again. So, the Chef, head server, and sous-chef each have a transceiver. They can communicate directly if the distance betwee...	1	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.The Chef likes to stay in touch with his staff. So, the Chef, the head server, and the sous-chef al...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Let's call a string a phone number if it has length 11 and fits the pattern "8xxxxxxxxxx", where each "x" is replaced by a digit. For examp...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the task is to determine the maximum number of phone numbers we can create from a given set of digit cards. Each phone number must be exactly 11 digits long and start with an 8. The rest can be any digits. The input is a num...	8	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Let's call a string a phone number if it has length 11 and fits the pattern \"8xxxxxxxxxx\", where ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclusive) together. He cannot do any other ca...	<think> Okay, I need to solve this problem where I have to determine if Takahashi can multiply two given integers A and B. If both are between 1 and 9 inclusive, then I output their product. Otherwise, I output -1. Hmm, let's think about the constraints. The problem says that Takahashi can only multiply two integers b...	75	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclu...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Frank explained its friend Felman the algorithm of Euclides to calculate the GCD of two numbers. Then Felman implements it algorithm int...	<think> Okay, I need to solve this problem where I have to compute the GCD of two numbers, A and B. The catch is that B can be up to 250 digits long, which is way bigger than what standard integer types can handle in Python. Wait, no, wait—Python can handle big integers, right? So maybe I don't have to worry about that...	2	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Frank explained its friend Felman the algorithm of Euclides to calculate the GCD \nof two numbers. ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Petya studies positional notations. He has already learned to add and subtract numbers in the systems of notations with different radices an...	<think> Okay, I need to solve this programming problem. Let's read the problem statement carefully. So, the task is to generate a multiplication table for a given radix k. The output should be a (k-1) x (k-1) table where each element is the product of i and j in base k. Hmm, right. So for example, when k is 10, it's...	38	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Petya studies positional notations. He has already learned to add and subtract numbers in the syste...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an array A of size N, and Q queries to deal with. For each query, you are given an integer X, and you're supposed to find out ...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the task is to process multiple queries on an array. For each query, I have to determine if a given number X exists in the array A. The output for each query is YES or NO. The input starts with two integers, N and Q. N is th...	65	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an array A of size N, and Q queries to deal with. For each query, you are given an in...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Monk loves cakes! He visits the Binary Bakery to buy some of his favorite cheesecakes. The owner of the bakery, Bob, is a clever man. He d...	<think> Okay, I need to solve this problem where Monk wants to select K numbers from a list to maximize the number of set bits. Hmm, let's think about how to approach this. So, the problem is, for each test case, given N numbers and K, I have to choose K numbers such that the sum of their set bits is maximum. Right. ...	68	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Monk loves cakes! He visits the Binary Bakery to buy some of his favorite cheesecakes. \nThe owner...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Rakesh have learn about vowel in school and is given an assignment by his teacher in which he has to list all vowel together from the word's...	<think> Okay, I need to solve this problem where I have to extract vowels from a given word. Let's see what the problem says. So, the task is to read T test cases, each being a word. For each word, I have to list all the vowels in the order they appear. Vowels are a, e, i, o, u, both lowercase and uppercase. If there ...	72	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Rakesh have learn about vowel in school and is given an assignment by his teacher in which he has t...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Some country is populated by wizards. They want to organize a demonstration. There are n people living in the city, x of them are the wizar...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the problem is about wizards who want to organize a demonstration. The city has n people, x of whom are wizards. The rest (n-x) are not going to participate. The wizards can create clone puppets to make the demonstration bigg...	29	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Some country is populated by wizards. They want to organize a demonstration.\n\nThere are n people ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A and B are preparing themselves for programming contests. B loves to debug his code. But before he runs the solution and starts debugging,...	<think> Okay, I need to solve this programming problem. Let's read the problem statement carefully. So, the problem is about B fixing two compilation errors. The compiler shows errors in a different order each time, but the errors are independent. So, when B fixes one error, the other errors remain the same except for...	42	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A and B are preparing themselves for programming contests.\n\nB loves to debug his code. But before...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Vasya wants to turn on Christmas lights consisting of m bulbs. Initially, all bulbs are turned off. There are n buttons, each of them is con...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the problem is about Vasya wanting to turn on all the Christmas lights. There are m bulbs, all initially off. There are n buttons. Each button, when pressed, turns on all the bulbs it's connected to. The question is whether i...	46	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Vasya wants to turn on Christmas lights consisting of m bulbs. Initially, all bulbs are turned off....
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.In the previous problem Chandu bought some unsorted arrays and sorted them (in non-increasing order). Now, he has many sorted arrays to give...	<think> Okay, I need to solve this problem where I have to merge two sorted arrays into one sorted array in non-increasing order. Let's see the problem statement again. So, the input is T test cases. For each test case, I get N and M, the sizes of the two arrays. Then the next two lines are the arrays A and B, which a...	64	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.In the previous problem Chandu bought some unsorted arrays and sorted them (in non-increasing order...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Takahashi is participating in a programming contest called AXC002, and he has just submitted his code to Problem A. The problem has N test ...	<think> Okay, I need to solve this programming problem. Let's read the problem statement carefully. So, the problem is about counting the number of test cases that have each of the four possible verdicts: AC, WA, TLE, RE. The input gives N test cases, each with one of these strings. I have to output the counts for eac...	73	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Takahashi is participating in a programming contest called AXC002, and he has just submitted his co...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Note that this is the first problem of the two similar problems. You can hack this problem only if you solve both problems. You are given a...	<think> Okay, I've got this programming problem to solve. Let's try to understand what it's asking. So, the problem is about trees and operations on their edges. The tree has n nodes, and each edge starts with a value of 0. The operation allowed is selecting two distinct leaves (nodes with degree 1) and a real number ...	13	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Note that this is the first problem of the two similar problems. You can hack this problem only if ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Vasilisa the Wise from the Kingdom of Far Far Away got a magic box with a secret as a present from her friend Hellawisa the Wise from the Ki...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the problem is about a magic box with a lock that has a 2x2 grid. Each cell in the grid must be filled with a unique gem numbered from 1 to 9. The sums of the rows, columns, and two diagonals must match the given values. The...	24	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Vasilisa the Wise from the Kingdom of Far Far Away got a magic box with a secret as a present from ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Luba thinks about watering her garden. The garden can be represented as a segment of length k. Luba has got n buckets, the i-th bucket allow...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, Luba has a garden represented as a segment of length k. She has n buckets. Each bucket i can water a continuous subsegment of exactly ai length each hour. She can't water already watered parts or outside the garden. She needs...	59	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Luba thinks about watering her garden. The garden can be represented as a segment of length k. Luba...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.As technologies develop, manufacturers are making the process of unlocking a phone as user-friendly as possible. To unlock its new phone, Ar...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the problem is about determining whether Kashtanka can unlock Mu-mu's phone by barking a sequence of known words such that the concatenated string contains the password as a substring. The password is exactly two characters l...	57	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.As technologies develop, manufacturers are making the process of unlocking a phone as user-friendly...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an equation: Ax2 + Bx + C = 0. Your task is to find the number of distinct roots of the equation and print all of them in ...	<think> Okay, I need to solve this problem where I have to find the roots of a quadratic equation. Let's see, the equation is Ax² + Bx + C = 0. The task is to determine the number of distinct roots and print them in ascending order. Hmm. First, I should think about all possible cases. Oh right, because A, B, C can be ...	30	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an equation: \n\nAx2 + Bx + C = 0. \n\nYour task is to find the number of distinct ro...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A certain business maintains a list of all its customers' names. The list is arranged in order of importance, with the last customer in the ...	<think> Okay, I need to solve this Python problem. Let's read the problem carefully. So, the task is to generate a function that takes customer names and sorts them according to specific rules. The input is multiple test cases, each with a number of names. The output should be the sorted list based on the given criter...	67	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A certain business maintains a list of all its customers' names. The list is arranged in order of i...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are n cows playing poker at a table. For the current betting phase, each player's status is either "ALLIN", "IN", or "FOLDED", and doe...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the problem is about cows playing poker. Each cow has a status: ALLIN (A), IN (I), or FOLDED (F). The task is to find out how many cows can currently show their hands without affecting the betting decisions. The condition fo...	33	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are n cows playing poker at a table. For the current betting phase, each player's status is e...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Nick has n bottles of soda left after his birthday. Each bottle is described by two values: remaining amount of soda ai and bottle volume bi...	<think> Okay, I need to solve this programming problem. Let's read the problem statement carefully. So, Nick has n soda bottles. Each bottle has ai amount of soda and a maximum volume of bi. He wants to pour all the soda into the minimal number of bottles possible. Also, he wants to do this in the minimal time, where ...	51	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Nick has n bottles of soda left after his birthday. Each bottle is described by two values: remaini...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Description You are given two strings S and T, such that length of S is greater than the length of T. Then a substring of S is defined as a ...	<think> Okay, I need to solve this problem where I'm given two strings S and T. The task is to find the number of distinct substrings of S that contain T as a substring. Hmm, let's think about how to approach this. First, I should understand what a substring is. A substring is a consecutive sequence of characters with...	69	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Description\nYou are given two strings S and T, such that length of S is greater than the length of...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.An established group of scientists are working on finding solution to NP hard problems. They claim Subset Sum as an NP-hard problem. The pr...	<think> Okay, I need to solve this subset sum problem. Let's see what the problem says. So, given a set of non-negative integers, I have to determine if there's a subset that adds up exactly to K. The output is 1 if such a subset exists, else 0. Hmm, the constraints are T up to 1000, N up to 1000, and K up to 1000. So...	5	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.An established group of scientists are working on finding solution to NP hard problems. They claim ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Easy and hard versions are actually different problems, so read statements of both problems completely and carefully. Summer vacation has s...	<think> Okay, I need to solve this programming problem. Let's read the problem statement carefully. So, the problem is about Alice and Bob choosing books to read together. The goal is to find a set of books such that Alice likes at least k of them, Bob likes at least k of them, and the total time is minimized. If it's...	21	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Easy and hard versions are actually different problems, so read statements of both problems complet...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Roy is going through the dark times of his life. Recently his girl friend broke up with him and to overcome the pain of acute misery he deci...	<think> Okay, I need to solve this problem where Roy's coding streaks are being analyzed over N days. The goal is to find two values: X and Y. X is the maximum of the longest coding streak each day, and Y is the longest coding streak when considering consecutive days. Let me break down the problem. First, for each da...	70	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Roy is going through the dark times of his life. Recently his girl friend broke up with him and to ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an integer n. You have to apply m operations to it. In a single operation, you must replace every digit d of the number with ...	<think> Okay, I've got this programming problem to solve. Let's read it carefully. So, the problem is about applying m operations to a number n. Each operation replaces every digit d with d+1, but as a decimal representation. For example, 1912 becomes 21023 after one operation. I need to find the length of the number ...	27	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an integer n. You have to apply m operations to it.\n\nIn a single operation, you mus...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Chef and his girlfriend are going to have a promenade. They are walking along the straight road which consists of segments placed one by one...	<think> Okay, I need to solve this problem where Chef and his girlfriend are walking along segments, and I have to find the minimal initial velocity so that they don't get separated. Let's try to understand the problem step by step. So, the problem says that Chef chooses an initial velocity V. For each segment, they m...	103	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Chef and his girlfriend are going to have a promenade. They are walking along the straight road whi...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given q queries in the following form: Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is div...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the task is, for each query, given l_i, r_i, d_i, find the minimum positive integer x_i that is divisible by d_i and doesn't lie in the segment [l_i, r_i]. Hmm. So x must be a multiple of d_i, and it should be outside the [...	10	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given q queries in the following form:\n\nGiven three integers l_i, r_i and d_i, find minim...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Your task is very simple. Given K numbers A1, A2, ..., AK. You need to find f(N) mod max(A1, A2, ..., AK) . f(N)=N! Input First line cont...	<think> Okay, I need to solve this programming problem. Let's read the problem statement carefully. So, the task is to compute f(N) mod M, where M is the maximum of the given K numbers. And f(N) is N factorial, which is N! So, for each test case, I have to calculate N! modulo the maximum of the array A. Hmm, the inpu...	98	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Your task is very simple. Given K numbers A1, A2, ..., AK. You need to find f(N) mod max(A1, A2, ....
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Sorting algorithms for sorting data are basic algorithms indispensable in computer science. For example, as shown in the figure below, the o...	<think> Okay, I need to solve this problem where I have to implement the bubble sort algorithm and count the number of swaps for each dataset. Let's see the problem statement again. So, the input consists of multiple datasets. Each dataset starts with an integer n, followed by n lines each containing an integer ai. Th...	84	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Sorting algorithms for sorting data are basic algorithms indispensable in computer science. For exa...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.As you know Appu created aversion to Maths after that maths problem given by his teacher.So he stopped studying and began to do farming. He ...	<think> Okay, I need to solve this problem where Appu wants all his sugarcanes to be the same height using a magic powder that doubles the height of a single sugarcane. Let's think about how to approach this. So, the problem is: given a list of N integers representing the heights of sugarcanes, can we apply the powder...	63	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.As you know Appu created aversion to Maths after that maths problem given by his teacher.So he stop...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You may know that Euclid was a mathematician. Well, as it turns out, Morpheus knew it too. So when he wanted to play a mean trick on Euclid,...	<think> Okay, I've got this programming problem to solve. Let's try to understand what it's asking for. So, the problem is about vectors over the Z_2 field. Each vector has m dimensions, and each component is either 0 or 1. The vectors are given, and we can add them together modulo 2. The task is to find the size of t...	25	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You may know that Euclid was a mathematician. Well, as it turns out, Morpheus knew it too. So when ...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers). The 52 cards ...	<think> Okay, I need to solve this problem where Taro has some cards, and I have to find out which ones are missing. The output should list all the missing cards in a specific order. First, let's understand the problem. There are 52 possible cards in total, each with a suit (S, H, C, D) and a rank from 1 to 13. The in...	97	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Taro is going to play a card game. However, now he has only n cards, even though there should be 52...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.To celebrate the opening of the Winter Computer School the organizers decided to buy in n liters of cola. However, an unexpected difficulty ...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully. So, the task is to calculate the number of ways to buy exactly n liters of cola using bottles of 0.5, 1, and 2 liters. The constraints are the number of each type of bottle available: a for 0.5L, b for 1L, and c for 2L. Hmm, the...	40	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.To celebrate the opening of the Winter Computer School the organizers decided to buy in n liters of...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a staircase with N steps. Takahashi is now standing at the foot of the stairs, that is, on the 0-th step. He can climb up one or tw...	<think> Okay, I need to solve this problem where Takahashi is climbing stairs, but some steps are broken. The task is to find the number of ways he can reach the top without stepping on any broken steps. The result should be modulo 1e9+7. Let me think about the approach. So, the problem is similar to the classic stair...	76	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is a staircase with N steps. Takahashi is now standing at the foot of the stairs, that is, on...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A factory produces thimbles in bulk. Typically, it can produce up to a thimbles a day. However, some of the machinery is defective, so it ca...	<think> Okay, I need to solve this programming problem. Let's read the problem carefully and understand what's being asked. So, the factory produces thimbles. Normally, it can make 'a' thimbles a day, but currently, it's only making 'b' because some machinery is defective. They plan to choose a k-day period for mainte...	47	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A factory produces thimbles in bulk. Typically, it can produce up to a thimbles a day. However, som...
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w...	Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.In this problem, we only consider strings consisting of lowercase English letters. Strings s and t are said to be isomorphic when the follo...	<think> Okay, I need to solve this problem where I have to generate all strings of length N that are in normal form. Hmm, let's think about what normal form means here. So, a string s is in normal form if for every string t that is isomorphic to s, s is lexicographically less than or equal to t. That means s is the sm...	74	[ { "from": "human", "value": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.In this problem, we only consider strings consisting of lowercase English letters.\n\nStrings s and...