question stringlengths 460 5.84k | thinking_trajectories_plus_solution stringlengths 3.13k 104k |
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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. Enclose your code within delimiters. The Chef likes to stay in touch with his staff. So, the Chef, the head server, and the sous-chef all c... | <|im_start|><think>
Okay, let's see. I need to solve this problem where three people (Chef, head server, sous-chef) have transceivers that can communicate directly if within R meters. If not, but there's a third person acting as a bridge, then they can still communicate. The goal is to check if all three can communicat... |
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. Enclose your code within delimiters. Frank explained its friend Felman the algorithm of Euclides to calculate the GCD
of two numbers. Then... | <|im_start|><think>
Okay, let's tackle this problem. So the task is to compute the GCD of two numbers, A and B. But here's the catch: A is a regular integer (up to 40000), but B can be a very large number with up to 250 digits. The standard Euclidean algorithm uses modulo operations, but when B is that big, we can't co... |
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. Enclose your code within delimiters. A Little Elephant from the Zoo of Lviv likes lucky strings, i.e., the strings that consist only of the... | <|im_start|><think>
Okay, I need to solve this problem where I have to find the number of balanced substrings in a given string of 4s and 7s. Let's see what the problem says.
A balanced substring T of length M is one where there's at least one X between 1 and M such that the number of 4s in T[1..X-1] equals the number... |
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. Enclose your code within delimiters. Given a string s. Can you make it a palindrome by deleting exactly one character? Note that size of th... | <|im_start|><think>
Okay, I need to solve this problem where for each given string, I have to determine if deleting exactly one character can make it a palindrome. The output should be YES or NO for each test case.
Let me think about the approach. So, a palindrome reads the same forwards and backwards. The problem all... |
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. Enclose your code within delimiters. An established group of scientists are working on finding solution to NP hard problems. They claim Sub... | <|im_start|><think>
Okay, I need to solve this subset sum problem. Let's think about how to approach it. The problem states that given a set of non-negative integers, determine if there's a subset that sums up to exactly K. Hmm. Since all numbers are non-negative, that might help in optimizing the solution.
The constr... |
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. Enclose your code within delimiters. Let's call a string a phone number if it has length 11 and fits the pattern "8xxxxxxxxxx", where each ... | <|im_start|><think>
Okay, let's see. The problem is about determining the maximum number of phone numbers we can create from a given set of digit cards. Each phone number has to be exactly 11 digits long, starting with an 8, followed by 10 digits. So the structure is 8 followed by 10 x's.
The input gives us a string ... |
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. Enclose your code within delimiters. You are given q queries in the following form:
Given three integers l_i, r_i and d_i, find minimum po... | <|im_start|><think>
Okay, let's see. I need to solve this problem where for each query with l, r, d, I have to find the smallest positive x that is divisible by d and not in the [l, r] interval. Hmm. So the problem is to find the minimal x such that x mod d is 0 and x is either less than l or greater than r.
Wait, rig... |
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. Enclose your code within delimiters. An array of integers p_{1},p_{2}, β¦,p_{n} is called a permutation if it contains each number from 1 to... | <|im_start|><think>
Okay, I need to solve this problem where given the array s, I have to restore the original permutation p. Let's think about the problem step by step.
First, let's understand the problem. The permutation p is such that for each i, s_i is the sum of all p_j where j < i and p_j < p_i. So for each elem... |
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. Enclose your code within delimiters. This is the easier version of the problem. In this version 1 β€ n, m β€ 100. You can hack this problem o... | <|im_start|><think>
Okay, let's try to figure out how to solve this problem. So, the task is, given a sequence of integers and several queries, each asking for a specific position in the optimal subsequence of a certain length k. The optimal subsequence is defined as the one with the maximum possible sum of elements, a... |
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. Enclose your code within delimiters. There are n points on a coordinate axis OX. The i-th point is located at the integer point x_i and has... | <|im_start|><think>
Okay, let's try to figure out how to solve this problem. The task is to compute the sum of the minimum possible distances between all pairs of points. Each point is moving with a constant velocity, and we need to find the minimal distance each pair can reach over time and sum all those minima.
Firs... |
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. Enclose your code within delimiters. Easy and hard versions are actually different problems, so read statements of both problems completely... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully.
So, the problem is about Alice and Bob choosing books to read. The goal is to select a subset 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 n... |
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. Enclose your code within delimiters. Vasilisa the Wise from the Kingdom of Far Far Away got a magic box with a secret as a present from her... | <|im_start|><think>
Okay, so I need to solve this programming problem. Let's read the problem statement carefully.
The problem is about a 2x2 grid where each cell must contain a unique number from 1 to 9. The sum of each row, column, and the two diagonals must match the given input values. The input provides the row s... |
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. Enclose your code within delimiters. You are given an integer n. You have to apply m operations to it.
In a single operation, you must rep... | <|im_start|><think>
Okay, let's tackle this problem. Hmm, the task is to compute the length of the number after applying m operations. Each operation replaces each digit d with d+1. But for m up to 2e5 and t up to 2e5, we can't simulate each operation for each test case directly. That would be way too slow. So we need ... |
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. Enclose your code within delimiters. Some country is populated by wizards. They want to organize a demonstration.
There are n people livin... | <|im_start|><think>
Okay, let's tackle this problem. So the task is to find out the minimum number of clones the wizards need to create so that their demonstration meets the required percentage set by the city administration. Hmm, right.
Let me read the problem statement again to make sure I understand all the details... |
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. Enclose your code within delimiters. A recently found Ancient Prophesy is believed to contain the exact Apocalypse date. The prophesy is a ... | <|im_start|><think>
Okay, I need to solve this problem. Let's read the problem statement carefully.
So, the task is to find the correct date (in the format dd-mm-yyyy) that appears the most times as a substring in the prophesy string. The correct date must have a year between 2013 and 2015, valid month (1-12), and val... |
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. Enclose your code within delimiters. There are n cows playing poker at a table. For the current betting phase, each player's status is eith... | <|im_start|><think>
Okay, let's see. I need to find the number of cows that can show their hands. The condition is that all other players must be either ALLIN or FOLDED. And the current player's status must not be FOLDED (so either IN or ALLIN).
Hmm. So for each player, I have to check two things: their own status is ... |
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. Enclose your code within delimiters. We know that lucky digits are digits 4 and 7, however Vasya's got another favorite digit 0 and he assu... | <|im_start|><think>
Okay, I need to solve this problem where for each input number, I have to represent it as the sum of exactly six lucky numbers. The lucky digits here are 0, 4, and 7. So the lucky numbers are those made up of these digits. For example, 0 is allowed, 4, 7, 40, 44, etc. But numbers like 17 are not luc... |
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. Enclose your code within delimiters. Vasily the Programmer loves romance, so this year he decided to illuminate his room with candles.
Vas... | <|im_start|><think>
Okay, so I need to solve this problem where Vasily has some candles, and he can make new ones from the leftovers. Let's see. The problem is about calculating the total hours the candles can stay lit.
The initial idea is that each candle burns for one hour. Then, after burning, it becomes a used ca... |
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. Enclose your code within delimiters. Sereja has painted n distinct points on the plane. The coordinates of each point are integers. Now he ... | <|im_start|><think>
Okay, let's see. The problem is to find the number of squares with sides parallel to the axes, where all four corners are present in the given points. Hmm. So, for a square like that, the sides are aligned with the x and y axes. That means each square is determined by its left and right x-coordinate... |
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. Enclose your code within delimiters. To celebrate the opening of the Winter Computer School the organizers decided to buy in n liters of co... | <|im_start|><think>
Okay, let's see. I need to find the number of possible ways to buy exactly n liters of cola using bottles of 0.5, 1, and 2 liters. The constraints are the available bottles: a is the maximum number of 0.5L bottles, b for 1L, c for 2L. All bottles are indistinct, so the order doesn't matterβjust the ... |
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. Enclose your code within delimiters. A and B are preparing themselves for programming contests.
B loves to debug his code. But before he r... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem statement carefully.
So, the problem is about finding two compilation errors that were fixed. The initial situation has n errors. After the first fix, there are n-1 errors left. Then after the second fix, there are n-2 errors. T... |
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. Enclose your code within delimiters. Little Susie listens to fairy tales before bed every day. Today's fairy tale was about wood cutters an... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully and understand what's being asked.
The problem is about trees arranged along a road. Each tree is at a certain coordinate xi and has a height hi. The woodcutters can cut a tree and fell it to the left or right, which 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. Enclose your code within delimiters. Vasya wants to turn on Christmas lights consisting of m bulbs. Initially, all bulbs are turned off. Th... | <|im_start|><think>
Okay, I need to solve this problem where Vasya wants to turn on all the bulbs using the given buttons. Let me read the problem again carefully.
So the problem says that each button, when pressed, turns on all the bulbs it's connected to. If some bulbs are already on, they stay on. We need to determ... |
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. Enclose your code within delimiters. A factory produces thimbles in bulk. Typically, it can produce up to a thimbles a day. However, some o... | <|im_start|><think>
Okay, let's see. I need to solve this problem where a factory is handling orders and has some days when it's under repair. The problem is to answer queries about the maximum number of orders that can be filled if repairs start on a certain day. Hmm.
So, the input has updates adding orders to a spec... |
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. Enclose your code within delimiters. Long time ago, there was a great kingdom and it was being ruled by The Great Arya and Pari The Great. ... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully and understand what's being asked.
So, the problem is about a kingdom with cities connected by roads. The roads are bidirectional and each has a length. The rulers want to destroy some prefix and suffix of the roads, l... |
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. Enclose your code within delimiters. In Walrusland public transport tickets are characterized by two integers: by the number of the series ... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem statement carefully.
The problem is about finding the minimal x*y such that there are at least w lucky tickets in x series (each from 1 to x) and y tickets per series (each from 1 to y). The constraints are that x can't exceed m... |
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. Enclose your code within delimiters. Nick has n bottles of soda left after his birthday. Each bottle is described by two values: remaining ... | <|im_start|><think>
Okay, let's see. I need to solve this problem where Nick wants to pour all the soda into the minimal number of bottles possible, and also find the minimal time required to do that. Hmm. So the problem is two parts: first, find the smallest k such that the sum of the a's (total soda) can fit into som... |
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. Enclose your code within delimiters. Dasha is fond of challenging puzzles: Rubik's Cube 3 Γ 3 Γ 3, 4 Γ 4 Γ 4, 5 Γ 5 Γ 5 and so on. This tim... | <|im_start|><think>
Okay, I need to solve this programming problem. Let me read the problem statement carefully.
So, the problem is about finding all positions in a cyclic table where a given pattern matches. The cyclic table is n x m in size, and it's cyclic, meaning that moving right from (i, m-1) wraps around to co... |
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. Enclose your code within delimiters. Igor is a post-graduate student of chemistry faculty in Berland State University (BerSU). He needs to ... | <|im_start|><think>
Okay, let's try to figure out how to solve this problem. So, the problem is about determining if we can transform materials in such a way that we end up with enough of each required material for the experiment. The transformations have specific rules, and we need to account for those.
First, let's ... |
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. Enclose your code within delimiters. As technologies develop, manufacturers are making the process of unlocking a phone as user-friendly as... | <|im_start|><think>
Okay, let's try to solve this problem. Hmm, the problem says that Kashtanka needs to bark some words in sequence such that the concatenated string contains the password as a substring. So the password is two characters long.
First, I need to figure out all possible ways the password can appear in ... |
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. Enclose your code within delimiters. Luba thinks about watering her garden. The garden can be represented as a segment of length k. Luba ha... | <|im_start|><think>
Okay, let's try to figure out how to solve this problem. So, the problem is about Luba watering her garden. The garden is a segment of length k. She has n buckets, each allows her to water a continuous subsegment of exactly ai length each hour. The key constraints here are that she can't water any p... |
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. Enclose your code within delimiters. You and your friend are participating in a TV show "Run For Your Prize".
At the start of the show n p... | <|im_start|><think>
Okay, let's see. The problem is about dividing the prizes between me and my friend so that the total time taken is minimized. The time taken is the maximum of our individual times, right? Because we can collect prizes in parallel. So the goal is to assign each prize to either me or my friend such th... |
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. Enclose your code within delimiters. Adilbek's house is located on a street which can be represented as the OX axis. This street is really ... | <|im_start|><think>
Okay, let's try to figure out this problem. So, the problem is about installing lamps of a single type to illuminate the entire street from 0 to n. The street has some blocked positions where lamps can't be placed, and the lamps can have power from 1 to k. We need to find the minimal total cost for ... |
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. Enclose your code within delimiters. As you know Appu created aversion to Maths after that maths problem given by his teacher.So he stopped... | <|im_start|><think>
Okay, let's try to solve this problem. So the question is, given N sugarcane heights, can we apply the powder any number of times (but only one sugarcane at a time) to double their heights such that all end up the same height? And we have to output YES or NO.
Hmm. Let's think about how this works. ... |
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. Enclose your code within delimiters. In the previous problem Chandu bought some unsorted arrays and sorted them (in non-increasing order). ... | <|im_start|><think>
Okay, let's see. I need to write a Python function that merges two sorted arrays in non-increasing order. Hmm, the problem says that the arrays are already sorted in non-increasing order, right? So like, the first array is sorted such that each element is >= the next, same with the second array. And... |
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. Enclose your code within delimiters. Description
You are given two strings S and T, such that length of S is greater than the length of T.
... | <|im_start|><think>
Okay, let's see. I need to solve this problem where given two strings S and T, I have to find the number of distinct substrings of S that contain T as a substring. Hmm, the sample input is "abcc c", and the output is 6. Let me think about the sample first to understand the problem better.
In the sa... |
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. Enclose your code within delimiters. Roy is going through the dark times of his life. Recently his girl friend broke up with him and to ove... | <|im_start|><think>
Okay, let's see. I need to solve this problem where Roy's coding streaks are calculated in two ways: X is the maximum daily streak, and Y is the maximum overall streak across days. Hmm.
So the input is N days, each with a 1440-character string. For each day, I need to find the longest sequence of '... |
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. Enclose your code within delimiters. Problem:
Rani and Nandu decide to play a number game. Both play alternately, Rani playing the first m... | <|im_start|><think>
Okay, let's try to figure out this problem. So the game is between Rani and Nandu, they take turns subtracting between 1 and k from n. The person who makes the move that results in n being zero or negative loses. We need to determine who wins given n and k, assuming both play optimally.
Hmm, first,... |
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. Enclose your code within delimiters. Rakesh have learn about vowel in school and is given an assignment by his teacher in which he has to l... | <|im_start|><think>
Okay, I need to solve this problem where I have to find all the vowels in each given word and output them in the order they appear. If there are no vowels, output "No". Let's think through how to approach this.
First, let's understand the problem. The vowels are a, e, i, o, u and their uppercase co... |
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. Enclose your code within delimiters. Takahashi is participating in a programming contest called AXC002, and he has just submitted his code ... | <|im_start|><think>
Okay, let's see. I need to write a Python function that reads input from stdin and counts the number of each verdict type. The input is N followed by N lines of verdicts. Then output the counts in the order AC, WA, TLE, RE.
First, I need to figure out how to efficiently count the occurrences. Sinc... |
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. Enclose your code within delimiters. In this problem, we only consider strings consisting of lowercase English letters.
Strings s and t ar... | <|im_start|><think>
Okay, let's tackle this problem. So, the task is to generate all strings of length N that are in normal form, sorted lexicographically. Hmm. Let's understand what the normal form means here.
From the problem statement, a string s is in normal form if every isomorphic string t is such that s β€ t le... |
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. Enclose your code within delimiters. Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclusiv... | <|im_start|><think>
Okay, let's see. The problem says that Takahashi can multiply two integers between 1 and 9 inclusive. So if either A or B is outside that range, he can't calculate the product, right? So I need to check if both A and B are in 1 to 9. If yes, then output their product. Otherwise, output -1.
Wait, bu... |
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. Enclose your code within delimiters. There is a staircase with N steps. Takahashi is now standing at the foot of the stairs, that is, on th... | <|im_start|><think>
Okay, let's tackle this problem. Hmm, the task is to find the number of ways Takahashi can climb the stairs without stepping on broken steps. The answer needs to be modulo 1e9+7.
So, first, I remember that similar staircase problems use dynamic programming. The idea is to calculate the number of 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. Enclose your code within delimiters. AtCoDeer the deer found two positive integers, a and b. Determine whether the product of a and b is ev... | <|im_start|><think>
Okay, let's tackle this problem. So the task is to determine whether the product of two integers a and b is even or odd. Hmm. Let's think about the conditions here.
First, I remember that a product is even if at least one of the numbers is even. Because even times anything is even. So even if eithe... |
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. Enclose your code within delimiters. There are N students and M checkpoints on the xy-plane.
The coordinates of the i-th student (1 \leq i ... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully.
So, the problem is about students and checkpoints on a plane. Each student has to go to the nearest checkpoint based on Manhattan distance. If there are multiple checkpoints with the same minimum distance, the student... |
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. Enclose your code within delimiters. Two students of AtCoder Kindergarten are fighting over candy packs.
There are three candy packs, each... | <|im_start|><think>
Okay, let's see. The problem is about distributing three candy packs between two students so that each gets the same number of candies. The key point is that each pack must be given entirely to one student; you can't split any pack. So I need to figure out if there's a way to divide the three packs ... |
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. Enclose your code within delimiters. 4 different points on the plane Read the coordinates of $ A (x_a, y_a) $, $ B (x_b, y_b) $, $ C (x_c, ... | <|im_start|><think>
Okay, I need to solve this programming problem. The task is to determine whether a quadrilateral formed by four given points is convex (output YES) or concave (output NO). The input gives the four points in order, and they form the quadrilateral in that order. So the order is important here.
First... |
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. Enclose your code within delimiters. Sorting algorithms for sorting data are basic algorithms indispensable in computer science. For exampl... | <|im_start|><think>
Okay, let's see. I need to write a Python program that implements bubble sort and counts the number of swaps made during the sorting process. The input is multiple datasets, each with an array of numbers, and I have to output the swap count for each. The input ends with a zero. Hmm, right.
First, I... |
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. Enclose your code within delimiters. problem
If you write a positive integer in decimal notation (without leading 0) and look at the digit... | <|im_start|><think>
Okay, let's tackle this problem. Hmm, the task is to find the number of zigzag numbers that are multiples of M between A and B, inclusive. Then output the count modulo 10000.
First, I need to understand what a zigzag number is. Oh right, a zigzag number alternates between increasing and decreasing... |
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. Enclose your code within delimiters. Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haik... | <|im_start|><think>
Okay, I need to solve this problem where I have to find a substring of words in a list that forms a valid Short Phrase. The Short Phrase has five sections with specific letter counts: 5,7,5,7,7. The challenge is to find the earliest starting index where such a sequence exists, considering that there... |
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. Enclose your code within delimiters. Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplica... | <|im_start|><think>
Okay, let's see. So I need to solve this problem where for each given number, I have to determine how many times step 2 is applied until it becomes a single-digit number. And if it loops infinitely, return -1. Hmm.
First, I need to understand the process clearly. Let me restate the steps.
The pr... |
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. Enclose your code within delimiters. Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your frie... | <|im_start|><think>
Okay, let's tackle this problem. Hmm. The task is to count the number of correct step-ups and step-downs that Kerr performed.
First, let's understand the problem. The correct movements are either a complete step-up or a complete step-down.
For a step-up: Both feet start on the floor. Then, one f... |
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. Enclose your code within delimiters. problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a differe... | <|im_start|><think>
Okay, let's tackle this problem. So the task is to find a pair of numbers from a list of N distinct natural numbers such that their difference is a multiple of N-1. And we need to output any one such pair. The problem also states that such a pair always exists.
Hmm, first, let's understand the prob... |
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. Enclose your code within delimiters. Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algor... | <|im_start|><think>
Okay, let's see. I need to write a Python function that implements the Selection Sort algorithm as described in the pseudocode. Also, I have to count the number of swap operations where i is not equal to mini. Hmm.
First, I should understand how Selection Sort works. The pseudocode says for each i ... |
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. Enclose your code within delimiters. Taro is going to play a card game. However, now he has only n cards, even though there should be 52 ca... | <|im_start|><think>
Okay, let's see. I need to write a Python function that reads the input and outputs the missing cards. The input has n cards, and we need to find which ones are missing from the standard 52-card deck. Then, output them in order: first all the spades, then hearts, clubs, diamonds. Within each suit, o... |
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. Enclose your code within delimiters. Problem Desrcription
Shil likes to play with trees a lot.He is playing with an undirected tree contain... | <|im_start|><think>
Okay, let's see. The problem is to find the number of unordered triplets (A, B, C) where no two are connected by a direct edge. So, in other words, in the triplet, there are no edges between any pair of the three nodes.
Hmm. So the approach here is to calculate all possible triplets and subtract t... |
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. Enclose your code within delimiters. This is a simple game you must have played around with during your school days, calculating FLAMES of ... | <|im_start|><think>
Okay, let's see. I need to write a Python function that reads two names for each test case and computes their FLAMES result. Hmm. So the process is: first, remove the common letters between the two names, considering each occurrence. Then count the remaining letters, use that number to repeatedly el... |
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. Enclose your code within delimiters. Now that Chef has finished baking and frosting his cupcakes, it's time to package them. Chef has N cup... | <|im_start|><think>
Okay, let's see. The problem is to find the package size A that maximizes the number of leftover cupcakes. And if there are multiple A's with the same maximum leftovers, choose the largest one. Hmm.
So, Chef has N cupcakes. He picks A, divides N by A, and the remainder is the leftovers. We need to ... |
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. Enclose your code within delimiters. You are given a simple code of a function and you would like to know what it will return.
F(N, K, A... | <|im_start|><think>
Okay, let's see. I need to write a Python function that reads input and computes the result based on the given code structure. The problem statement describes this function F, which applies an operator K times over the array elements, updating the answer each time. Wait, wait, the loops are for i in... |
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. Enclose your code within delimiters. Chef and his girlfriend are going to have a promenade. They are walking along the straight road which ... | <|im_start|><think>
Okay, let's see. So the problem is to find the minimal initial velocity that Chef needs to choose so that when he and his girlfriend walk through each segment, the velocity is always at least the attractiveness of the shop on that segment. Also, after each segment, the velocity must decrease by at l... |
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. Enclose your code within delimiters. At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher pe... | <|im_start|><think>
Okay, let's see. I need to determine if vector B can be obtained from vector A using any number of 90-degree clockwise rotations and adding vector C any number of times. Hmm. So the operations allowed are rotate and add C, in any order, any number of times.
First, let's think about what each operat... |
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. Enclose your code within delimiters. Awruk is taking part in elections in his school. It is the final round. He has only one opponent β Elo... | <|im_start|><think>
Okay, let's tackle this problem. So, the task is to find the smallest possible value of k such that Awruk wins the election. And k has to be at least the maximum of all a_i values. Oh right, because each student gives a_i votes to Elodreip, and the rest (k - a_i) go to Awruk. So, Awruk's total votes... |
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. Enclose your code within delimiters. You are given a binary matrix A of size n Γ n. Let's denote an x-compression of the given matrix as a ... | <|im_start|><think>
Okay, let's see. The problem is to find the maximum x such that the given binary matrix can be x-compressed. An x-compression means that the matrix is divided into x by x blocks, and each block must have all the same value. So, the maximum x would be the largest divisor of n where all possible block... |
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. Enclose your code within delimiters. You are given a string s consisting of n lowercase Latin letters.
Let's define a substring as a conti... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the question carefully.
The problem is: Given a string s of length n, I have to find a substring (contiguous) to reverse such that the resulting string is lexicographically smaller than the original. If it's possible, output YES and the ind... |
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. Enclose your code within delimiters. You are playing a computer card game called Splay the Sire. Currently you are struggling to defeat the... | <|im_start|><think>
Okay, let's tackle this problem. So, the goal is to maximize the damage over n turns, considering that every 10th card played in the entire sequence deals double damage. Each turn, you can play a subset of cards with total cost <=3, and the order in which you play them matters because of the 10th ca... |
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. Enclose your code within delimiters. Alice is playing with some stones.
Now there are three numbered heaps of stones. The first of them co... | <|im_start|><think>
Okay, I need to solve this problem where Alice can perform two operations on three heaps of stones. The goal is to find the maximum number of stones she can collect. Let's think through this step by step.
First, let's understand the operations. Operation 1 takes 1 from heap a and 2 from heap b. Ope... |
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. Enclose your code within delimiters. There are n cities in Berland and some pairs of them are connected by two-way roads. It is guaranteed ... | <|im_start|><think>
Okay, let's try to figure out this problem. So the task is to find the number of pairs (x, y) where x and y are not a or b, such that any path from x to y must pass through both a and b. And the order of x and y doesn't matter, so (x,y) and (y,x) count as one.
Hmm, first, let's understand the probl... |
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. Enclose your code within delimiters. You are given two arrays of integers a_1,β¦,a_n and b_1,β¦,b_m.
Your task is to find a non-empty array ... | <|im_start|><think>
Okay, I need to solve this problem where I have to find the shortest possible common subsequence between two arrays. Let's think about how to approach this.
First, the problem says that the subsequence must be non-empty and exist in both arrays. The goal is to find the smallest possible length. If ... |
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. Enclose your code within delimiters. Valeric and Valerko missed the last Euro football game, so they decided to watch the game's key moment... | <|im_start|><think>
Okay, let's see. The problem is to find the minimum time t that Valeric and Valerko need to wait before starting the video so that they can watch it without any pauses. Hmm. Let's break down the problem.
So, the key condition is that for every moment t0 between t and t + c (inclusive), the data dow... |
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. Enclose your code within delimiters. A string is called a k-string if it can be represented as k concatenated copies of some string. For ex... | <|im_start|><think>
Okay, let's try to figure out this problem. So the task is to reorder the letters of a given string so that the result is a k-string. A k-string is one that can be divided into k equal parts, each part being the same. For example, if k is 2, then the resulting string should be two copies of some sub... |
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. Enclose your code within delimiters. The black king is standing on a chess field consisting of 109 rows and 109 columns. We will consider t... | <|im_start|><think>
Okay, let's see. The problem is about finding the minimum number of moves a king needs to go from one position to another on a chessboard, but only moving through allowed cells. The allowed cells are given as segments in rows. The king can move to any adjacent square, including diagonally adjacent o... |
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. Enclose your code within delimiters. Manao works on a sports TV. He's spent much time watching the football games of some country. After a ... | <|im_start|><think>
Okay, so I need to solve this programming problem. Let's read the problem statement carefully.
The problem is about football teams and their uniforms. Each team has a home and guest uniform. When a team plays at home (hosts), they normally wear their home uniform. But if the home team's home color ... |
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. Enclose your code within delimiters. In the rush of modern life, people often forget how beautiful the world is. The time to enjoy those ar... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully.
The problem is about a queue of beavers where each beaver knows who is in front of them, except when they have ai=0. The Smart Beaver is number x, and I need to find all possible positions he could be in the queue bas... |
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. Enclose your code within delimiters. Xenia the beginner mathematician is a third year student at elementary school. She is now learning the... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully.
The task is to rearrange the summands in a sum such that they are in non-decreasing order. The input is a string that consists of digits 1, 2, 3 and plus signs. The output should be the same numbers rearranged in a wa... |
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. Enclose your code within delimiters. The bear decided to store some raspberry for the winter. He cunningly found out the price for a barrel... | <|im_start|><think>
Okay, let's see. The problem is about the bear trying to maximize his raspberry profit by borrowing a honey barrel once. Hmm. So the plan is that he chooses a day d, sells the barrel on day d, then buys a new one on day d+1, returns it to the friend and pays c kilos. The profit here would be the dif... |
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. Enclose your code within delimiters. Kitahara Haruki has bought n apples for Touma Kazusa and Ogiso Setsuna. Now he wants to divide all the... | <|im_start|><think>
Okay, let's see. The problem is to determine if we can split a list of apples, each weighing 100 or 200 grams, into two groups with equal total weight. All apples must be used. So the first thing I need to check is whether the total weight is even. Because if the total is odd, it's impossible to spl... |
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. Enclose your code within delimiters. Andrew plays a game called "Civilization". Dima helps him.
The game has n cities and m bidirectional ... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem statement carefully.
The problem is about managing regions of cities connected by roads. The regions are trees because between any two cities, there's a unique path or none. So each region is a tree. The two types of queries are... |
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. Enclose your code within delimiters. There are five people playing a game called "Generosity". Each person gives some non-zero number of co... | <|im_start|><think>
Okay, let's tackle this problem. Hmm, what's the question again? Oh right, given the final coins each of the five players have, we need to find the initial bet b that each player contributed. The initial bet is the same for all players, and it's a positive integer. Then, coins are passed around thro... |
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. Enclose your code within delimiters. New Year is coming, and Jaehyun decided to read many books during 2015, unlike this year. He has n boo... | <|im_start|><think>
Okay, let's tackle this problem. Hmm. So the goal is to arrange the books in a certain order such that the total weight of the books Jaehyun has to lift over m days is minimized. Each time he reads a book, he has to lift all the books above it, then take it out and put it on top. The key is to find ... |
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. Enclose your code within delimiters. In this problem you will meet the simplified model of game King of Thieves.
In a new ZeptoLab game ca... | <|im_start|><think>
Okay, let's tackle this problem. So, the task is to check if there's a sequence of five platforms in the given level such that the intervals between consecutive platforms are the same. Basically, we need to find five stars in the string where each consecutive pair is spaced by the same distance. So,... |
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. Enclose your code within delimiters. Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a... | <|im_start|><think>
Okay, let's tackle this problem. Hmm, the goal is to find a string k by swapping some characters in a, such that k contains as many non-overlapping substrings equal to b or c as possible. And we need to output any possible k that maximizes this count.
First, I need to understand the problem correct... |
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. Enclose your code within delimiters. Polycarp is working on a new project called "Polychat". Following modern tendencies in IT, he decided,... | <|im_start|><think>
Okay, let's see. I need to solve this programming problem. Let's read the problem statement carefully.
The problem is about calculating the total traffic generated by a chat server processing a series of commands. The commands are adding a user, removing a user, and sending messages. The traffic is... |
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. Enclose your code within delimiters. Wet Shark asked Rat Kwesh to generate three positive real numbers x, y and z, from 0.1 to 200.0, inclu... | <|im_start|><think>
Okay, let's see. The problem is to find which of the 12 expressions gives the maximum value, and output the corresponding expression in the required format. The tricky part is handling the exponentiations correctly, especially when comparing different orders and groupings. Since directly computing t... |
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. Enclose your code within delimiters. In late autumn evening n robots gathered in the cheerful company of friends. Each robot has a unique i... | <|im_start|><think>
Okay, let's try to figure out this problem. So, the problem is about robots saying their identifiers in a certain order, and we need to find the k-th identifier pronounced. Let's read the problem statement again to make sure I understand it correctly.
So, each robot starts speaking in order. The fi... |
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. Enclose your code within delimiters. You are given a permutation of the numbers 1, 2, ..., n and m pairs of positions (aj, bj).
At each st... | <|im_start|><think>
Okay, I need to solve this problem where I have to find the lexicographically largest permutation possible by swapping elements based on the given pairs of positions. Let me think through this step by step.
So the problem is: given a permutation and a bunch of allowed swap pairs, what's the largest... |
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. Enclose your code within delimiters. Vasya is currently at a car rental service, and he wants to reach cinema. The film he has bought a tic... | <|im_start|><think>
Okay, let's see. We need to find the cheapest car that allows Vasya to reach the cinema in time. So the problem is about choosing the right car based on fuel capacity and time constraints. Hmm.
First, the cars have different capacities and prices. We need to select the car with the minimum cost suc... |
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. Enclose your code within delimiters. There are n people and k keys on a straight line. Every person wants to get to the office which is loc... | <|im_start|><think>
Okay, let's see. I need to solve this programming problem. Let's read the problem statement carefully.
So, the problem is about n people and k keys on a straight line. Each person needs to pick a key and then go to the office. The goal is to find the minimum time such that all people can reach the ... |
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. Enclose your code within delimiters. Disclaimer: there are lots of untranslateable puns in the Russian version of the statement, so there i... | <|im_start|><think>
Okay, let's see. The problem is to find the number of pairs (l, r) with l < r such that the bitwise OR of all elements from l to r (inclusive) is greater than every individual element in that range. Hmm.
Wait, the bitwise OR of the entire interval must be larger than each mountain's height in that ... |
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. Enclose your code within delimiters. Let's consider the following game. We have a rectangular field n Γ m in size. Some squares of the fiel... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's start by understanding the problem carefully.
The problem is about a grid with chips that have arrows pointing in four directions. The player can select a chip and make a move. The move involves following the arrow direction, checking for the ne... |
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. Enclose your code within delimiters. You are given an undirected graph consisting of n vertices and <image> edges. Instead of giving you th... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully.
So the problem is about an undirected graph where the edges are given as the complement. That is, all possible edges are present except for the m pairs provided. We have to find the number of connected components and ... |
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. Enclose your code within delimiters. Two-gram is an ordered pair (i.e. string of length two) of capital Latin letters. For example, "AZ", "... | <|im_start|><think>
Okay, let's see. The problem is to find the most frequent two-gram in a given string. A two-gram is just two consecutive characters. So, for example, in the string "BBAABBBA", the two-grams are BB, BA, AA, AB, BB, BB, BA. The most frequent here is BB which occurs three times. The task is to find any... |
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. Enclose your code within delimiters. Ramesh and Suresh were in the same class and got home work from their mathematics teacher. The Homewor... | <|im_start|><think>
Okay, let's tackle this problem. So the task is to split a given string of digits into four integers such that each doesn't have leading zeros and each is β€1e12. Then, we need to find the maximum possible sum of these four integers. If it's not possible, output "unlucky".
Hmm. Let's think about the... |
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. Enclose your code within delimiters. Draco Malfoy and Hermione Granger have gotten into a "battle of brains". Draco was foolish enough to c... | <|im_start|><think>
Okay, I need to solve this problem where given a number N, I have to compute Z(F(N)), where Z is the highest power of 10 dividing that number. Let's break this down.
First, let's understand the functions. F is defined recursively. F(0) and F(1) are 1. For x >1, F(x) = x*(x-1)*F(x-2). So, F(2) = 2*1... |
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. Enclose your code within delimiters. Given 2 numbers n1 and n2, following operations can be performed:
1) Decrement n1 by 1(if n1>1)
2) Dec... | <|im_start|><think>
Okay, let's tackle this problem. Hmm, the task is to find the maximum possible GCD of two numbers n1 and n2 after performing at most k operations. Each operation can be incrementing or decrementing either number by 1, but with some constraints. Oh right, you can't decrement below 1. So, how do I app... |
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. Enclose your code within delimiters. Jiro is a fun loving lad. His classmates are very competitive and are striving for getting a good rank... | <|im_start|><think>
Okay, I need to solve this problem where I have to determine the rank of each student based on their marks. Let's think through the steps carefully.
So the problem says that the rank of a student is 1 plus the number of students who have strictly higher marks than them. And if two students have the... |
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. Enclose your code within delimiters. PowerShell had N natural numbers. He wanted to test Xenny's speed in finding the sum and difference of... | <|im_start|><think>
Okay, I need to solve this programming problem. Let's read the problem carefully.
So the problem says that for each query, given L and R, we need to compute two things: the sum of all numbers from index L to R, inclusive, and the difference when you subtract all numbers from R down to L. Wait, the ... |
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. Enclose your code within delimiters. Find the number of integers between 1 and N (inclusive) that contains exactly K non-zero digits when w... | <|im_start|><think>
Okay, let's see. I need to find the number of integers between 1 and N (inclusive) that have exactly K non-zero digits. The constraints are that N can be up to 10^100, which is way too big to handle with brute force. So I need a dynamic programming approach here, probably digit DP.
Hmm, digit DP is... |
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. Enclose your code within delimiters. Takahashi went to an all-you-can-eat buffet with N kinds of dishes and ate all of them (Dish 1, Dish 2... | <|im_start|><think>
Okay, let's see. I need to solve this problem where Takahashi ate all the dishes in a certain order, and calculate his total satisfaction points. Hmm, the problem statement says that he ate N kinds of dishes once each, so the A array is a permutation of 1 to N. Because each dish is unique and all ar... |
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. Enclose your code within delimiters. There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not know... | <|im_start|><think>
Okay, let's see. The problem is to find the maximum possible greatest common divisor (GCD) of N integers whose product is P. Hmm. So the constraints are that each a_i is at least 1, their product is P, and we need to maximize the GCD of all of them.
First, I need to understand how the GCD can be m... |
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. Enclose your code within delimiters. You are given an integer sequence A of length N and an integer K. You will perform the following opera... | <|im_start|><think>
Okay, let's see. The problem is to perform Q operations where each time we select a contiguous subsequence of length K, remove the smallest element from it, and then find the minimal possible difference between the largest and smallest elements removed across all Q operations. Hmm.
So the goal is t... |
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