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Coding
codecontest
Write Python code to solve the task. Chef Monocarp has just put n dishes into an oven. He knows that the i-th dish has its optimal cooking time equal to t_i minutes. At any positive integer minute T Monocarp can put no more than one dish out of the oven. If the i-th dish is put out at some minute T, then its unpleasan...
Step 1: The problem asks us for the minimum total unpleasant value Monocarp can obtain when he puts out all the dishes from the oven. This means we need to calculate the absolute difference between the cooking time of each dish and the time it is taken out of the oven. Step 2: We can sort the list of cooking times in...
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Coding
codecontest
Write Python code to solve the task. Chef Monocarp has just put n dishes into an oven. He knows that the i-th dish has its optimal cooking time equal to t_i minutes. At any positive integer minute T Monocarp can put no more than one dish out of the oven. If the i-th dish is put out at some minute T, then its unpleasan...
Step 1: To solve this problem, we need to find an optimal schedule for taking dishes out of the oven, such that the unpleasant value is minimized. Step 2: We can start by sorting the optimal cooking times of the dishes in non-decreasing order. Step 3: Then, we can use a priority queue to keep track of the current ti...
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Coding
codecontest
Write Python code to solve the task. John Doe started thinking about graphs. After some thought he decided that he wants to paint an undirected graph, containing exactly k cycles of length 3. A cycle of length 3 is an unordered group of three distinct graph vertices a, b and c, such that each pair of them is connecte...
Step 1: To solve this problem, we need to find an undirected graph that contains exactly k cycles of length 3. Step 2: We can construct a graph by adding edges in such a way that the graph has the required number of cycles of length 3. Step 3: The graph's adjacency matrix will represent the presence or absence of ed...
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Coding
codecontest
Write Python code to solve the task. John Doe started thinking about graphs. After some thought he decided that he wants to paint an undirected graph, containing exactly k cycles of length 3. A cycle of length 3 is an unordered group of three distinct graph vertices a, b and c, such that each pair of them is connecte...
Step 1: We are given an integer k, representing the number of cycles of length 3 in the required graph. Step 2: We need to find a graph with exactly k cycles of length 3. Step 3: To proceed with this problem, we can start by initializing a matrix (arr) with all '0's, where arr[i][j] represents an edge between vertic...
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Coding
codecontest
Write Python code to solve the task. John Doe started thinking about graphs. After some thought he decided that he wants to paint an undirected graph, containing exactly k cycles of length 3. A cycle of length 3 is an unordered group of three distinct graph vertices a, b and c, such that each pair of them is connecte...
Step 1: The problem requires generating a graph with exactly k cycles of length 3. Step 2: We need to find n, the number of vertices in the graph. The number of vertices should be less than or equal to 100. Step 3: The graph should not contain self-loops, and it should be undirected. Step 4: To solve this problem, ...
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Coding
codecontest
Write Python code to solve the task. Asya loves animals very much. Recently, she purchased n kittens, enumerated them from 1 and n and then put them into the cage. The cage consists of one row of n cells, enumerated with integers from 1 to n from left to right. Adjacent cells had a partially transparent partition wall ...
Step 1: To solve this problem, we need to understand the problem of finding the initial arrangement of kittens given the pair of kittens that played together. Step 2: We need to use some data structure to efficiently store the different set of kittens and their corresponding cells in the cage. Step 3: Then, we need ...
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Coding
codecontest
Write Python code to solve the task. Asya loves animals very much. Recently, she purchased n kittens, enumerated them from 1 and n and then put them into the cage. The cage consists of one row of n cells, enumerated with integers from 1 to n from left to right. Adjacent cells had a partially transparent partition wall ...
Step 1: The problem requires us to determine the initial arrangement of kittens into n cells based on the order of borders between neighboring cells being removed. Step 2: To solve this problem, we can start with creating a defaultdict that will store the relationships between the kittens, the partitions they removed...
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Coding
codecontest
Write Python code to solve the task. Asya loves animals very much. Recently, she purchased n kittens, enumerated them from 1 and n and then put them into the cage. The cage consists of one row of n cells, enumerated with integers from 1 to n from left to right. Adjacent cells had a partially transparent partition wall ...
Step 1: The problem asks us to find the initial arrangement of kittens in the cage when they were put in n cells initially and a series of partitions was removed based on the kittens' interactions. Step 2: We need to determine the original arrangement of the kittens in the cells based on the information about the ki...
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Coding
codecontest
Write Python code to solve the task. Tokitsukaze and CSL are playing a little game of stones. In the beginning, there are n piles of stones, the i-th pile of which has a_i stones. The two players take turns making moves. Tokitsukaze moves first. On each turn the player chooses a nonempty pile and removes exactly one s...
Step 1: This problem requires us to determine the winner of a stones game given a number of piles and the initial number of stones in each pile. Step 2: We need to consider the optimal moves for both players and ensure that the game terminates with the correct winner being declared. Step 3: To approach this problem,...
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Coding
codecontest
Write Python code to solve the task. Tokitsukaze and CSL are playing a little game of stones. In the beginning, there are n piles of stones, the i-th pile of which has a_i stones. The two players take turns making moves. Tokitsukaze moves first. On each turn the player chooses a nonempty pile and removes exactly one s...
Step 1: To solve this problem, we need to evaluate the game based on the possible states and moves. Step 2: We should first consider the winning conditions for both players and evaluate the rules of the game. Step 3: It's important to understand the game's mechanics and think about the winning strategy for Tokitsuka...
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Coding
codecontest
Write Python code to solve the task. Tokitsukaze and CSL are playing a little game of stones. In the beginning, there are n piles of stones, the i-th pile of which has a_i stones. The two players take turns making moves. Tokitsukaze moves first. On each turn the player chooses a nonempty pile and removes exactly one s...
Step 1: We need to create a function to determine which player will win based on the number of piles of stones and the size of each pile Step 2: The function should iterate through all possible moves and check if each move leads to a win or loss for Tokitsukaze Step 3: We need to handle cases where there are two pil...
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Coding
codecontest
Write Python code to solve the task. You are given a rectangular matrix of size n Γ— m consisting of integers from 1 to 2 β‹… 10^5. In one move, you can: * choose any element of the matrix and change its value to any integer between 1 and n β‹… m, inclusive; * take any column and shift it one cell up cyclically (see ...
Step 1: The problem seems to involve creating a matrix in a specific pattern with the minimum number of moves possible. We need to figure out how to achieve this pattern and calculate the number of moves required to reach it. This can be done by calculating the difference between the current arrangement of the matrix ...
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Coding
codecontest
Write Python code to solve the task. You are given a rectangular matrix of size n Γ— m consisting of integers from 1 to 2 β‹… 10^5. In one move, you can: * choose any element of the matrix and change its value to any integer between 1 and n β‹… m, inclusive; * take any column and shift it one cell up cyclically (see ...
Step 1: The goal of this problem is to transform the given matrix into a specific order by changing the elements and performing cyclic shifts on the columns. Step 2: We can loop through each column and then each row of the matrix to check if the current element needs to be modified in order to reach the target matrix...
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Coding
codecontest
Write Python code to solve the task. You are given a rectangular matrix of size n Γ— m consisting of integers from 1 to 2 β‹… 10^5. In one move, you can: * choose any element of the matrix and change its value to any integer between 1 and n β‹… m, inclusive; * take any column and shift it one cell up cyclically (see ...
Step 1: The problem states that we need to perform a minimum number of moves to obtain a matrix by changing the matrix elements and applying cyclic shifts to the columns. Step 2: We can start by parsing the input matrix and then applying operations iteratively while keeping track of the number of moves. Step 3: For ...
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Coding
codecontest
Write Python code to solve the task. Let's call the following process a transformation of a sequence of length n. If the sequence is empty, the process ends. Otherwise, append the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor) (GCD) of all the elements of the sequence to the result an...
Step 1: To solve this problem, we need to understand the process of transforming a sequence by appending the greatest common divisor and removing an arbitrary element. Step 2: We can start by implementing a function to calculate the greatest common divisor (GCD) of two integers. Step 3: We need to then implement a f...
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Coding
codecontest
Write Python code to solve the task. Let's call the following process a transformation of a sequence of length n. If the sequence is empty, the process ends. Otherwise, append the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor) (GCD) of all the elements of the sequence to the result an...
Step 1: The problem requires finding the lexicographically maximum result of a sequence's transformation. Step 2: The sequence starts with integers from 1 to n. Step 3: The transformation involves finding the GCD of the sequence elements and removing one element until the sequence becomes empty. Step 4: We can achi...
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Coding
codecontest
Write Python code to solve the task. Let's call the following process a transformation of a sequence of length n. If the sequence is empty, the process ends. Otherwise, append the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor) (GCD) of all the elements of the sequence to the result an...
Step 1: To solve this problem, we need to understand the process of transformation for a sequence and how it affects the elements of the sequence. Step 2: The lexicographically maximum result of the transformation is the sequence that maximizes the element at each step of the transformation. Step 3: We can start by...
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Coding
codecontest
Write Python code to solve the task. A median in an array with the length of n is an element which occupies position number <image> after we sort the elements in the non-decreasing order (the array elements are numbered starting with 1). A median of an array (2, 6, 1, 2, 3) is the number 2, and a median of array (0, 96...
Step 1: We need to determine the minimum number of elements Petya needs to add to the array so that the median equals x. Step 2: To do this, we can start by sorting the initial array and finding its current median. Step 3: We then add x to the array and update the median, repeating this process until the median equa...
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9412eca75b02d7788715f343f19fd2e9a9e67c0390e771b9a8fc71e2b28c500e
Coding
codecontest
Write Python code to solve the task. A median in an array with the length of n is an element which occupies position number <image> after we sort the elements in the non-decreasing order (the array elements are numbered starting with 1). A median of an array (2, 6, 1, 2, 3) is the number 2, and a median of array (0, 96...
Step 1: To solve this problem, we need to find the minimum number of elements Petya needs to add to the given array so that its median is equal to x. Step 2: We can start by parsing the input to obtain the initial array and the required median value. Step 3: Then, we can calculate the number of elements Petya needs ...
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9412eca75b02d7788715f343f19fd2e9a9e67c0390e771b9a8fc71e2b28c500e
Coding
codecontest
Write Python code to solve the task. A median in an array with the length of n is an element which occupies position number <image> after we sort the elements in the non-decreasing order (the array elements are numbered starting with 1). A median of an array (2, 6, 1, 2, 3) is the number 2, and a median of array (0, 96...
Step 1: To solve this problem, we need to determine the minimum number of elements that Petya needs to add to the array so that its median is equal to x. Step 2: We want to get the required median value by adding elements to the array. We need to consider the position of the median after adding elements to the array ...
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9412eca75b02d7788715f343f19fd2e9a9e67c0390e771b9a8fc71e2b28c500e
Coding
codecontest
Write Python code to solve the task. Since most contestants do not read this part, I have to repeat that Bitlandians are quite weird. They have their own jobs, their own working method, their own lives, their own sausages and their own games! Since you are so curious about Bitland, I'll give you the chance of peeking ...
Step 1: The Bitlandish game described involves reducing a sequence of non-negative integers by either taking one integer and decreasing it by a chosen amount, or taking a common number and decreasing all integers by that amount. Step 2: To determine who wins the game, we need to analyze the rules of the game and the ...
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15536a4d3024cbe77828f8d7188af213bc4bfaa4999b9da6413ee20d64f3023d
Coding
codecontest
Write Python code to solve the task. Since most contestants do not read this part, I have to repeat that Bitlandians are quite weird. They have their own jobs, their own working method, their own lives, their own sausages and their own games! Since you are so curious about Bitland, I'll give you the chance of peeking ...
Step 1: The input contains two lines, the first line specifies the number of integers in the sequence, and the second line contains the actual sequence of non-negative integers. Step 2: The problem involves each player making optimally good moves and determining the winner if both players play optimally well. Step 3:...
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15536a4d3024cbe77828f8d7188af213bc4bfaa4999b9da6413ee20d64f3023d
Coding
codecontest
Write Python code to solve the task. Since most contestants do not read this part, I have to repeat that Bitlandians are quite weird. They have their own jobs, their own working method, their own lives, their own sausages and their own games! Since you are so curious about Bitland, I'll give you the chance of peeking ...
Step 1: The problem requires determining the winner of a game played by two players based on an initial sequence of non-negative integers. Step 2: We need to understand the rules of the game and how both players can play optimally to determine the winner. Step 3: It seems that the given main function takes inputs an...
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15536a4d3024cbe77828f8d7188af213bc4bfaa4999b9da6413ee20d64f3023d
Coding
codecontest
Write Python code to solve the task. Bizon the Champion isn't just charming, he also is very smart. While some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted an n Γ— m multiplication table, where the element on the intersection of the i-th row and ...
Step 1: We are asked to find the k-th largest number in an n x m multiplication table. Step 2: We can achieve this by iterating through the multiplication table and counting the numbers that are less than or equal to the k-th largest number. Step 3: We need to come up with an algorithm to solve this problem efficien...
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Coding
codecontest
Write Python code to solve the task. Bizon the Champion isn't just charming, he also is very smart. While some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted an n Γ— m multiplication table, where the element on the intersection of the i-th row and ...
Step 1: The objective of this problem is to find the k-th largest number in an n x m multiplication table. Step 2: To solve this problem, we need to devise a binary search algorithm that efficiently determines the k-th largest number in the multiplication table. Step 3: The binary search algorithm will navigate thro...
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773b734d994d1bae65a32f77244a6902da328756242f386923bf95bf507902c4
Coding
codecontest
Write Python code to solve the task. Bizon the Champion isn't just charming, he also is very smart. While some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted an n Γ— m multiplication table, where the element on the intersection of the i-th row and ...
Step 1: To address this problem, we need to devise a method for determining the k-th largest number in an n x m multiplication table. Step 2: It is important to understand the properties of a multiplication table and how the numbers are arranged in the table. Step 3: We will likely have to use a binary search to eff...
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773b734d994d1bae65a32f77244a6902da328756242f386923bf95bf507902c4
Coding
codecontest
Write Python code to solve the task. You are given N points in the xy-plane. You have a circle of radius one and move it on the xy-plane, so as to enclose as many of the points as possible. Find how many points can be simultaneously enclosed at the maximum. A point is considered enclosed by a circle when it is inside o...
Step 1: The problem requires us to find the maximum number of points that can be enclosed by a circle of radius one. Step 2: To solve this problem, we can loop through each point and determine the number of points that can be enclosed by a circle centered at the current point. Step 3: We will use mathematical comput...
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578882293504edeffe1af80e0bf1c9ac2ca48ee2478619062a9ceb3c1a5f6bac
Coding
codecontest
Write Python code to solve the task. You are given N points in the xy-plane. You have a circle of radius one and move it on the xy-plane, so as to enclose as many of the points as possible. Find how many points can be simultaneously enclosed at the maximum. A point is considered enclosed by a circle when it is inside o...
Step 1: To solve this problem, we need to find the maximum number of points that can be enclosed by a circle of radius one, so as to enclose as many of the points as possible. Step 2: We can do this by iterating through each pair of points and checking if a circle centered between them can enclose other points. Step ...
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578882293504edeffe1af80e0bf1c9ac2ca48ee2478619062a9ceb3c1a5f6bac
Coding
codecontest
Write Python code to solve the task. You are given N points in the xy-plane. You have a circle of radius one and move it on the xy-plane, so as to enclose as many of the points as possible. Find how many points can be simultaneously enclosed at the maximum. A point is considered enclosed by a circle when it is inside o...
Step 1: The problem involves finding the maximum number of points that can be simultaneously enclosed by a circle of radius one. Step 2: To solve this problem, we need to calculate the circle center for a pair of points and check how many other points can be enclosed by the circle with that center. Step 3: We need t...
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578882293504edeffe1af80e0bf1c9ac2ca48ee2478619062a9ceb3c1a5f6bac
Coding
codecontest
Write Python code to solve the task. You are given N points in the xy-plane. You have a circle of radius one and move it on the xy-plane, so as to enclose as many of the points as possible. Find how many points can be simultaneously enclosed at the maximum. A point is considered enclosed by a circle when it is inside o...
Step 1: The problem requires enclosing as many points as possible with a circle of radius one. Step 2: To solve this problem, we can approach it by iteratively checking the pairs of points and extending the circle to enclose additional points, while keeping track of the maximum number of enclosed points for each poss...
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578882293504edeffe1af80e0bf1c9ac2ca48ee2478619062a9ceb3c1a5f6bac
Coding
codecontest
Write Python code to solve the task. You are given N points in the xy-plane. You have a circle of radius one and move it on the xy-plane, so as to enclose as many of the points as possible. Find how many points can be simultaneously enclosed at the maximum. A point is considered enclosed by a circle when it is inside o...
Step 1: The problem is to enclose as many points as possible within the circle of radius one. Step 2: To solve this problem, we need to find the maximum number of points that can be simultaneously enclosed by a circle of radius one. Step 3: We can calculate the distance between pairs of points and determine whether ...
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578882293504edeffe1af80e0bf1c9ac2ca48ee2478619062a9ceb3c1a5f6bac
Coding
codecontest
Write Python code to solve the task. You are given N points in the xy-plane. You have a circle of radius one and move it on the xy-plane, so as to enclose as many of the points as possible. Find how many points can be simultaneously enclosed at the maximum. A point is considered enclosed by a circle when it is inside o...
Step 1: The problem requires us to find the maximum number of points within a circle of radius one on the xy-plane. Step 2: We can calculate the circles that can be formed by using the given points. The center of the circle can be calculated by using the midpoint formula between any two points. Step 3: We need to us...
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578882293504edeffe1af80e0bf1c9ac2ca48ee2478619062a9ceb3c1a5f6bac
Coding
codecontest
Write Python code to solve the task. Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. One day Petya dreamt of a lexicographically k-th permutation of...
Step 1: The problem asks us to determine how many lucky numbers in a permutation are located on indexes that are also lucky numbers. A lucky number is a positive integer whose decimal representation only contains the digits 4 and 7. We'll need to check for lucky numbers, lexicographically k-th permutation, and impleme...
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531f134f4a393d16435ed363d996f223dcf85b033f55d7750fa48e6bf516c266
Coding
codecontest
Write Python code to solve the task. Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. One day Petya dreamt of a lexicographically k-th permutation of...
Step 1: The problem asks to determine how many lucky numbers in the permutation are located on the positions whose indexes are also lucky numbers. Step 2: We need to first understand the concept of lucky numbers, which are positive integers containing only the digits 4 and 7. Step 3: We then need to find the k-th le...
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Coding
codecontest
Write Python code to solve the task. Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. One day Petya dreamt of a lexicographically k-th permutation of...
Step 1: The problem involves calculating the number of lucky numbers in a permutation, based on some given constraints. Step 2: To solve this, we can make use of functions to check if a number is a lucky number and to find the k-th permutation of a set of numbers. Step 3: The first step involves checking if a given...
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531f134f4a393d16435ed363d996f223dcf85b033f55d7750fa48e6bf516c266
Coding
codecontest
Write Python code to solve the task. There are n chips arranged in a circle, numbered from 1 to n. Initially each chip has black or white color. Then k iterations occur. During each iteration the chips change their colors according to the following rules. For each chip i, three chips are considered: chip i itself and...
Step 1: The problem requires us to change the color of each chip after k iterations. We need to determine the color of each chip after k iterations, using the rules described in the problem. Step 2: To solve this problem, I will implement a function to calculate the color of each chip after k iterations based on the...
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Coding
codecontest
Write Python code to solve the task. There are n chips arranged in a circle, numbered from 1 to n. Initially each chip has black or white color. Then k iterations occur. During each iteration the chips change their colors according to the following rules. For each chip i, three chips are considered: chip i itself and...
Step 1: This problem describes a simulation process where the colors of the chips are updated based on rules and the given number of iterations. Step 2: We can start by implementing a function to represent a single iteration of updating the colors of the chips. Step 3: Then, we need to keep track of each chip's colo...
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681fe8ff22a0788ea7b8a934967483dbfbb92360d033f9853989ee1d2c04a2f3
Coding
codecontest
Write Python code to solve the task. There are n chips arranged in a circle, numbered from 1 to n. Initially each chip has black or white color. Then k iterations occur. During each iteration the chips change their colors according to the following rules. For each chip i, three chips are considered: chip i itself and...
Step 1: To solve this problem, we need to determine the color of each chip after k iterations, based on the initial colors and the rules mentioned in the problem description. Step 2: We can start by initializing the chips' colors and the list of locked chips based on the initial color positions. Step 3: Then, we nee...
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681fe8ff22a0788ea7b8a934967483dbfbb92360d033f9853989ee1d2c04a2f3
Coding
codecontest
Write Python code to solve the task. Like any unknown mathematician, Yuri has favourite numbers: A, B, C, and D, where A ≀ B ≀ C ≀ D. Yuri also likes triangles and once he thought: how many non-degenerate triangles with integer sides x, y, and z exist, such that A ≀ x ≀ B ≀ y ≀ C ≀ z ≀ D holds? Yuri is preparing probl...
Step 1: The problem at hand requires calculating the number of non-degenerate triangles with integer sides x, y, and z such that certain inequalities hold. Step 2: We'll use the difference array to solve this problem. Step 3: We will need to calculate the number of y, z pairs such that z - y equals a specific value...
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c3b9c593605484e6da9c9fce8b6def2b8d2ae4bede42c170b59ef03962ce57e4
Coding
codecontest
Write Python code to solve the task. Like any unknown mathematician, Yuri has favourite numbers: A, B, C, and D, where A ≀ B ≀ C ≀ D. Yuri also likes triangles and once he thought: how many non-degenerate triangles with integer sides x, y, and z exist, such that A ≀ x ≀ B ≀ y ≀ C ≀ z ≀ D holds? Yuri is preparing probl...
Step 1: The problem requires us to calculate the number of non-degenerate triangles with integer sides x, y, and z, such that A ≀ x ≀ B ≀ y ≀ C ≀ z ≀ D holds. Step 2: The solution uses a difference array to calculate the number of such triangles. Step 3: The inputs A, B, C, and D are integers that define the range f...
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c3b9c593605484e6da9c9fce8b6def2b8d2ae4bede42c170b59ef03962ce57e4
Coding
codecontest
Write Python code to solve the task. Like any unknown mathematician, Yuri has favourite numbers: A, B, C, and D, where A ≀ B ≀ C ≀ D. Yuri also likes triangles and once he thought: how many non-degenerate triangles with integer sides x, y, and z exist, such that A ≀ x ≀ B ≀ y ≀ C ≀ z ≀ D holds? Yuri is preparing probl...
Step 1: The problem requires us to find the number of non-degenerate triangles with integer sides x, y, and z, such that A ≀ x ≀ B ≀ y ≀ C ≀ z ≀ D holds. Step 2: We can use the given input to determine the range of possible sides for the triangles and calculate the number of triangles that satisfy the inequality cond...
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c3b9c593605484e6da9c9fce8b6def2b8d2ae4bede42c170b59ef03962ce57e4
Coding
codecontest
Write Python code to solve the task. Maxim always goes to the supermarket on Sundays. Today the supermarket has a special offer of discount systems. There are m types of discounts. We assume that the discounts are indexed from 1 to m. To use the discount number i, the customer takes a special basket, where he puts exa...
Step 1: The problem requires us to find the minimum amount of money required to buy n items, taking into account available discount options. Step 2: We need to understand the rules and conditions for using the discount system optimally. Step 3: Given the discount types and the number of items Maxim needs to buy, we ...
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25aa5c7ba0f9148c256c31e4d163b2833397be9d9af362a54c4db47e9adda3a8
Coding
codecontest
Write Python code to solve the task. Maxim always goes to the supermarket on Sundays. Today the supermarket has a special offer of discount systems. There are m types of discounts. We assume that the discounts are indexed from 1 to m. To use the discount number i, the customer takes a special basket, where he puts exa...
Step 1: To solve this problem, we need to determine the optimal use of the discount system to minimize the sum of money that Maxim needs to buy the items. Step 2: We need to understand the condition imposed on the selected "free items" and the process of selecting the items for the discount. Step 3: We can start by ...
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25aa5c7ba0f9148c256c31e4d163b2833397be9d9af362a54c4db47e9adda3a8
Coding
codecontest
Write Python code to solve the task. Maxim always goes to the supermarket on Sundays. Today the supermarket has a special offer of discount systems. There are m types of discounts. We assume that the discounts are indexed from 1 to m. To use the discount number i, the customer takes a special basket, where he puts exa...
Step 1: The problem requires us to find the minimum sum of money that the customer needs to pay for buying n items in the shop, using the discount system optimally well. Step 2: To do this, we should consider the given discount types and the number of items Maxim needs. Then, we need to determine the best strategy fo...
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25aa5c7ba0f9148c256c31e4d163b2833397be9d9af362a54c4db47e9adda3a8
Coding
codecontest
Write Python code to solve the task. Okabe and Super Hacker Daru are stacking and removing boxes. There are n boxes numbered from 1 to n. Initially there are no boxes on the stack. Okabe, being a control freak, gives Daru 2n commands: n of which are to add a box to the top of the stack, and n of which are to remove a ...
Step 1: To solve this problem, we need to determine how many times Daru needs to reorder the boxes in order to successfully complete all of Okabe's commands. Step 2: We'll iterate through each of Okabe's commands and keep track of the boxes in the stack. Step 3: If, at any point, the top box in the stack does not ma...
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e5a997a5d82aa1e08685d9281a39027b7bbd664149c554f1801833b1791fa39a
Coding
codecontest
Write Python code to solve the task. Okabe and Super Hacker Daru are stacking and removing boxes. There are n boxes numbered from 1 to n. Initially there are no boxes on the stack. Okabe, being a control freak, gives Daru 2n commands: n of which are to add a box to the top of the stack, and n of which are to remove a ...
Step 1: The problem requires us to determine the minimum number of times Daru needs to reorder the boxes to successfully complete all of Okabe's commands. Step 2: We can initially create an empty stack to keep track of the boxes. We will also keep a count of the times the stack needs to be reordered. Step 3: Then we...
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e5a997a5d82aa1e08685d9281a39027b7bbd664149c554f1801833b1791fa39a
Coding
codecontest
Write Python code to solve the task. Okabe and Super Hacker Daru are stacking and removing boxes. There are n boxes numbered from 1 to n. Initially there are no boxes on the stack. Okabe, being a control freak, gives Daru 2n commands: n of which are to add a box to the top of the stack, and n of which are to remove a ...
Step 1: To solve this problem, we need to keep track of the order of boxes in the stack as they are added and removed. Step 2: Daru should rearrange the boxes in the stack so that he can successfully complete all of Okabe's commands. Step 3: We need to consider the different scenarios for the "add" and "remove" comm...
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e5a997a5d82aa1e08685d9281a39027b7bbd664149c554f1801833b1791fa39a
Coding
codecontest
Write Python code to solve the task. Consider the following process. You have a binary string (a string where each character is either 0 or 1) w of length n and an integer x. You build a new binary string s consisting of n characters. The i-th character of s is chosen as follows: * if the character w_{i-x} exists an...
Step 1: The problem introduces a process to construct a new binary string s from an original string w of length n and an integer x. Step 2: We need to devise a way to reconstruct the original string w given s and x. For each character of s, we need to check the conditions to decide whether the original character of w...
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65f87c9146c40838f3e24bf8dd5c4d96879d5f1f1ac0b59c627d33244f859087
Coding
codecontest
Write Python code to solve the task. Consider the following process. You have a binary string (a string where each character is either 0 or 1) w of length n and an integer x. You build a new binary string s consisting of n characters. The i-th character of s is chosen as follows: * if the character w_{i-x} exists an...
Step 1: The problem involves reconstructing a binary string w based on the given string s and integer x, using certain conditions. Step 2: We need to iterate through the string s and apply the conditions for reconstructing w as described in the problem statement. Step 3: If the conditions are not met, we need to pri...
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65f87c9146c40838f3e24bf8dd5c4d96879d5f1f1ac0b59c627d33244f859087
Coding
codecontest
Write Python code to solve the task. Consider the following process. You have a binary string (a string where each character is either 0 or 1) w of length n and an integer x. You build a new binary string s consisting of n characters. The i-th character of s is chosen as follows: * if the character w_{i-x} exists an...
Step 1: The problem involves constructing the original string w from the resulting string s using the given condition. Step 2: We start by initializing a list of the same length as the input string s, where each element is set to -1 by default. Step 3: Then, we iterate through the string s and apply the given condit...
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65f87c9146c40838f3e24bf8dd5c4d96879d5f1f1ac0b59c627d33244f859087
Coding
codecontest
Write Python code to solve the task. Ivan is a student at Berland State University (BSU). There are n days in Berland week, and each of these days Ivan might have some classes at the university. There are m working hours during each Berland day, and each lesson at the university lasts exactly one hour. If at some day ...
Step 1: The problem is asking for the minimum number of hours Ivan has to spend in the university during the week if he cannot skip more than k lessons. Step 2: Ivan has n days in the Berland week, and each day has m working hours. He can skip at most k lessons during the week. Step 3: The input consists of n, m, ...
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6361fc6034efcadb0591fe761c2cada418b2ec379eb3eaa5adfe8f7297cb82f2
Coding
codecontest
Write Python code to solve the task. Ivan is a student at Berland State University (BSU). There are n days in Berland week, and each of these days Ivan might have some classes at the university. There are m working hours during each Berland day, and each lesson at the university lasts exactly one hour. If at some day ...
Step 1: This problem requires determining the minimum number of hours Ivan has to spend in the university during a week, considering the lessons he can skip. Step 2: To solve this problem, we need to find an optimal strategy for Ivan to minimize his time spent in the university while adhering to the constraint of not...
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6361fc6034efcadb0591fe761c2cada418b2ec379eb3eaa5adfe8f7297cb82f2
Coding
codecontest
Write Python code to solve the task. Ivan is a student at Berland State University (BSU). There are n days in Berland week, and each of these days Ivan might have some classes at the university. There are m working hours during each Berland day, and each lesson at the university lasts exactly one hour. If at some day ...
Step 1: To solve this problem, we need to determine the minimum number of hours Ivan has to spend in the university during the week if he cannot skip more than k lessons. Step 2: First, we will need to parse the input to get the details about the number of days, working hours, and the number of lessons Ivan can skip....
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6361fc6034efcadb0591fe761c2cada418b2ec379eb3eaa5adfe8f7297cb82f2
Coding
codecontest
Write Python code to solve the task. You are given an array a_{1}, a_{2}, …, a_{n}. You can remove at most one subsegment from it. The remaining elements should be pairwise distinct. In other words, at most one time you can choose two integers l and r (1 ≀ l ≀ r ≀ n) and delete integers a_l, a_{l+1}, …, a_r from the a...
Step 1: The problem requires finding the minimum size of the subsegment needed to remove from the input array to make the remaining elements distinct. Step 2: We can use a set to keep track of the seen elements and iterate through the array to update the seen set and calculate the minimum size of the subsegment to re...
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b8d3087e4f2a28ddc256a5f02eb90fdcc9de10eef8cefdf3a560d1253a708402
Coding
codecontest
Write Python code to solve the task. You are given an array a_{1}, a_{2}, …, a_{n}. You can remove at most one subsegment from it. The remaining elements should be pairwise distinct. In other words, at most one time you can choose two integers l and r (1 ≀ l ≀ r ≀ n) and delete integers a_l, a_{l+1}, …, a_r from the a...
Step 1: To solve this problem, we need to find the minimum size of the subsegment that needs to be removed to make all remaining elements distinct. Step 2: We can use a set to keep track of distinct elements as we iterate through the array. Step 3: We also need to consider the position to remove the subsegment to mi...
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b8d3087e4f2a28ddc256a5f02eb90fdcc9de10eef8cefdf3a560d1253a708402
Coding
codecontest
Write Python code to solve the task. You are given an array a_{1}, a_{2}, …, a_{n}. You can remove at most one subsegment from it. The remaining elements should be pairwise distinct. In other words, at most one time you can choose two integers l and r (1 ≀ l ≀ r ≀ n) and delete integers a_l, a_{l+1}, …, a_r from the a...
Step 1: To solve this problem, we can iterate through the array of elements and use a set to keep track of the distinct elements we have encountered so far. Step 2: We need to consider removing subsegments from the input array in order to make all remaining elements distinct. Step 3: We need to keep track of the min...
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b8d3087e4f2a28ddc256a5f02eb90fdcc9de10eef8cefdf3a560d1253a708402
Coding
codecontest
Write Python code to solve the task. Fangy collects cookies. Once he decided to take a box and put cookies into it in some way. If we take a square k Γ— k in size, divided into blocks 1 Γ— 1 in size and paint there the main diagonal together with cells, which lie above it, then the painted area will be equal to the area ...
Step 1: The problem requires us to determine the number of empty cells that will be left in the box after arranging cookies in a certain manner. Step 2: We need to calculate the number of empty cells modulo 106 + 3 and return the result. Step 3: We can start by taking the input value and applying the given logic to ...
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dbf07a4020ac998b7e2832d4c3f7eab64595d39036de11af64eaa0b1b10a08ec
Coding
codecontest
Write Python code to solve the task. Fangy collects cookies. Once he decided to take a box and put cookies into it in some way. If we take a square k Γ— k in size, divided into blocks 1 Γ— 1 in size and paint there the main diagonal together with cells, which lie above it, then the painted area will be equal to the area ...
Step 1: To approach this problem, we need to determine the number of empty cells in the box after the cookies have been placed according to the given algorithm. Step 2: The number of empty cells is related to the size of the cookies and the size of the box. Step 3: We can look for a pattern or formula to calculate t...
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dbf07a4020ac998b7e2832d4c3f7eab64595d39036de11af64eaa0b1b10a08ec
Coding
codecontest
Write Python code to solve the task. Fangy collects cookies. Once he decided to take a box and put cookies into it in some way. If we take a square k Γ— k in size, divided into blocks 1 Γ— 1 in size and paint there the main diagonal together with cells, which lie above it, then the painted area will be equal to the area ...
Step 1: To solve this problem, we need to understand the pattern of the empty cells in the box when the cookies are stacked in the specified manner. Step 2: We also need to consider the size of the box and how it affects the number of empty cells. Step 3: Additionally, we need to account for the modulo operation on...
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dbf07a4020ac998b7e2832d4c3f7eab64595d39036de11af64eaa0b1b10a08ec
Coding
codecontest
Write Python code to solve the task. You are given a tree T consisting of n vertices. A number is written on each vertex; the number written on vertex i is ai. Let's denote the function I(x, y) as the difference between maximum and minimum value of ai on a simple path connecting vertices x and y. Your task is to calcu...
Step 1: The problem is asking us to calculate the difference between the maximum and minimum values of ai on a simple path connecting two vertices x and y in a tree. Step 2: To solve this problem, we need to consider the structure of the tree and how to efficiently compute the difference between the maximum and minim...
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35f4ebb999192b30f83f188482819a33cb2f71e2fdab36203ac54b0f0e2738bb
Coding
codecontest
Write Python code to solve the task. You are given a tree T consisting of n vertices. A number is written on each vertex; the number written on vertex i is ai. Let's denote the function I(x, y) as the difference between maximum and minimum value of ai on a simple path connecting vertices x and y. Your task is to calcu...
Step 1: The problem involves finding the difference between the maximum and minimum values of the numbers written on the vertices on a simple path connecting two vertices in a tree. We could start by defining a function to calculate the difference between the maximum and minimum values of numbers on a given path. Then...
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35f4ebb999192b30f83f188482819a33cb2f71e2fdab36203ac54b0f0e2738bb
Coding
codecontest
Write Python code to solve the task. You are given a tree T consisting of n vertices. A number is written on each vertex; the number written on vertex i is ai. Let's denote the function I(x, y) as the difference between maximum and minimum value of ai on a simple path connecting vertices x and y. Your task is to calcu...
Step 1: The main task here is to calculate the function I(x, y). We can use the difference between the maximum and minimum values of ai on the simple path connecting vertices x and y to compute it. Step 2: To achieve this, we can first sort the numbers in such a way that A[order[i]] <= A[order[i + 1]] by using the sq...
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35f4ebb999192b30f83f188482819a33cb2f71e2fdab36203ac54b0f0e2738bb
Coding
codecontest
Write Python code to solve the task. A string is called palindrome if it reads the same from left to right and from right to left. For example "kazak", "oo", "r" and "mikhailrubinchikkihcniburliahkim" are palindroms, but strings "abb" and "ij" are not. You are given string s consisting of lowercase Latin letters. At o...
Step 1: The problem requires us to obtain the lexicographically smallest palindrome with the minimal number of changes. Step 2: Since we are allowed to change any lowercase letter in the string, we start by counting the frequency of each letter. Step 3: We then adjust the letters to minimize the number of changes re...
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d970591da5d856da458d407e40f6d3a6e7ddd419335fab495cce9fd10226ab6f
Coding
codecontest
Write Python code to solve the task. A string is called palindrome if it reads the same from left to right and from right to left. For example "kazak", "oo", "r" and "mikhailrubinchikkihcniburliahkim" are palindroms, but strings "abb" and "ij" are not. You are given string s consisting of lowercase Latin letters. At o...
Step 1: To solve this problem, we need to determine the number of changes required to obtain the lexicographically smallest palindrome from the given string. Step 2: We should start by counting the frequency of each letter in the string. Then, we need to determine the changes needed to make the string a palindrome. S...
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d970591da5d856da458d407e40f6d3a6e7ddd419335fab495cce9fd10226ab6f
Coding
codecontest
Write Python code to solve the task. A string is called palindrome if it reads the same from left to right and from right to left. For example "kazak", "oo", "r" and "mikhailrubinchikkihcniburliahkim" are palindroms, but strings "abb" and "ij" are not. You are given string s consisting of lowercase Latin letters. At o...
Step 1: To solve this problem, we need to find the lexicographically smallest palindrome that can be obtained with the minimal number of changes. Step 2: We can start by counting the occurrences of each letter in the input string and identify the letters that have an odd count. Step 3: Then, we need to distribute ex...
1d131590646cd67686668f4155dfd67b443c3217238d81a89af4d7ec73830d57_1_1
d970591da5d856da458d407e40f6d3a6e7ddd419335fab495cce9fd10226ab6f
Coding
codecontest
Write Python code to solve the task. Xsquare loves to play with arrays a lot. Today, he has two arrays named as A and B. Each array consists of N positive integers. Xsquare has decided to fulfill following types of queries over his array A and array B. 1 L R : Print the value of AL + BL+1 + AL+2 + BL+3 + ... upto R...
Step 1: The problem requires processing and evaluating queries based on two arrays. The queries are of two types, each requiring us to sum elements of the arrays in a specific order. To solve this problem, we can start by reading the input, which consists of size of arrays (N) and the number of queries (Q), followed...
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65fcc417dc49749479d1d6ec6a6e262584db3776981c7d4deb0dc1ab3b31edec
Coding
codecontest
Write Python code to solve the task. Xsquare loves to play with arrays a lot. Today, he has two arrays named as A and B. Each array consists of N positive integers. Xsquare has decided to fulfill following types of queries over his array A and array B. 1 L R : Print the value of AL + BL+1 + AL+2 + BL+3 + ... upto R...
Step 1: The problem defines two types of queries that require manipulating the two arrays and summing the appropriate elements. The best approach is to iterate through the queries and for each query type, calculate the sum by considering the values in the specified indices of the arrays. Step 2: It's necessary to fir...
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Coding
codecontest
Write Python code to solve the task. Xsquare loves to play with arrays a lot. Today, he has two arrays named as A and B. Each array consists of N positive integers. Xsquare has decided to fulfill following types of queries over his array A and array B. 1 L R : Print the value of AL + BL+1 + AL+2 + BL+3 + ... upto R...
Step 1: The problem requires us to perform different types of queries on two arrays A and B, and calculate the sum of elements based on the given conditions. We need to extract the appropriate values from the given arrays and provide the output based on the query type and range provided. Here's how we can approach th...
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65fcc417dc49749479d1d6ec6a6e262584db3776981c7d4deb0dc1ab3b31edec
Coding
codecontest
Write Python code to solve the task. Alyona has recently bought a miniature fridge that can be represented as a matrix with h rows and 2 columns. Initially there is only one shelf at the bottom of the fridge, but Alyona can install arbitrary number of shelves inside the fridge between any two rows. A shelf is two cells...
Step 1: To find the largest number of bottles that can be put in the fridge at the same time, we need to consider the height of each bottle and the available space in the fridge. Step 2: First, we should read the input which includes the number of bottles, the height of the fridge, and the heights of the bottles. Ste...
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43a8610dcacbaee19279d2e614cfff7a060740004cdb36915da2859c4326e9ea
Coding
codecontest
Write Python code to solve the task. Alyona has recently bought a miniature fridge that can be represented as a matrix with h rows and 2 columns. Initially there is only one shelf at the bottom of the fridge, but Alyona can install arbitrary number of shelves inside the fridge between any two rows. A shelf is two cells...
Step 1: To solve this problem, we need to determine the maximum number of bottles Alyona can fit in the fridge. Step 2: We need to consider the height of the bottles and the available space in the fridge. Step 3: We can start by sorting the bottles in decreasing order of height and evaluate the total height of the b...
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43a8610dcacbaee19279d2e614cfff7a060740004cdb36915da2859c4326e9ea
Coding
codecontest
Write Python code to solve the task. Alyona has recently bought a miniature fridge that can be represented as a matrix with h rows and 2 columns. Initially there is only one shelf at the bottom of the fridge, but Alyona can install arbitrary number of shelves inside the fridge between any two rows. A shelf is two cells...
Step 1: To solve this problem, we need to determine the maximum number of bottles Alyona can put in the fridge while satisfying the given conditions. Step 2: We can start by sorting the heights of the bottles in descending order and then iterate through them to determine the maximum height at which bottles can be pla...
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43a8610dcacbaee19279d2e614cfff7a060740004cdb36915da2859c4326e9ea
Coding
codecontest
Write Python code to solve the task. Every year a race takes place on the motorway between cities A and B. This year Vanya decided to take part in the race and drive his own car that has been around and bears its own noble name β€” The Huff-puffer. So, Vasya leaves city A on the Huff-puffer, besides, at the very beginni...
Step 1: The problem requires us to determine the unique number of the petrol station where Vanya will stop next, based on the given sequence of station numbers. We need to consider the number of stations where Vanya has stopped and the distances between consecutive stations. Step 2: We can calculate the range of pote...
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48065fb80ca32dafa2e0ff49582f4c4daddb49d6b85838aeda3655db845cc493
Coding
codecontest
Write Python code to solve the task. Every year a race takes place on the motorway between cities A and B. This year Vanya decided to take part in the race and drive his own car that has been around and bears its own noble name β€” The Huff-puffer. So, Vasya leaves city A on the Huff-puffer, besides, at the very beginni...
Step 1: To solve this problem, we need to determine the number of the station where the next stop will take place. Step 2: We are given a sequence of numbers representing the stations where Vanya has stopped. Step 3: We need to find the value of Ξ± that corresponds to this sequence. Step 4: The value of Ξ± must lead...
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48065fb80ca32dafa2e0ff49582f4c4daddb49d6b85838aeda3655db845cc493
Coding
codecontest
Write Python code to solve the task. Every year a race takes place on the motorway between cities A and B. This year Vanya decided to take part in the race and drive his own car that has been around and bears its own noble name β€” The Huff-puffer. So, Vasya leaves city A on the Huff-puffer, besides, at the very beginni...
Step 1: The problem asks to determine the number of the station at which the next stop will take place given the succession of the numbers of the stations where Vanya has already stopped. Step 2: To solve this problem, we need to calculate the range of alpha values that correspond to the given succession of stops and...
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48065fb80ca32dafa2e0ff49582f4c4daddb49d6b85838aeda3655db845cc493
Coding
codecontest
Write Python code to solve the task. It has been truly said that love is not meant for everyone. Let me introduce you to a very sad story of my friend Broken Amit. Yes several times he has been left heartbroken. Looking at his poor condition even God is pity on him. God has given Amit a very nice opportunity to Kiss a...
Step 1: The problem requires finding the maximum "Gross Love Value" Broken Amit can earn by kissing all the girls in some order, with each girl's "Love value" decreasing after being kissed. Step 2: We need to find the optimal kissing order to maximize the "Gross Love Value". Step 3: Since there could be multiple kis...
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fe8283ea61160f3b4efab1cd221c127f5603d4f6a235f297c9f3af59816f9db1
Coding
codecontest
Write Python code to solve the task. It has been truly said that love is not meant for everyone. Let me introduce you to a very sad story of my friend Broken Amit. Yes several times he has been left heartbroken. Looking at his poor condition even God is pity on him. God has given Amit a very nice opportunity to Kiss a...
Step 1: The problem requires finding the maximum "Gross Love Value" that can be earned by Amit by kissing all the girls exactly once in some order. Step 2: To solve the problem, we need to find all possible orders in which Amit can kiss the girls to maximize the "Gross Love Value". Step 3: We also need to calculate ...
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fe8283ea61160f3b4efab1cd221c127f5603d4f6a235f297c9f3af59816f9db1
Coding
codecontest
Write Python code to solve the task. It has been truly said that love is not meant for everyone. Let me introduce you to a very sad story of my friend Broken Amit. Yes several times he has been left heartbroken. Looking at his poor condition even God is pity on him. God has given Amit a very nice opportunity to Kiss a...
Step 1: The problem requires us to maximize the "Gross Love Value" that Amit can earn by kissing all the girls in a particular order. Step 2: We can devise a strategy to determine the "Gross Love Value" for each possible order in which Amit can kiss the girls. Step 3: This strategy may involve calculating and updati...
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fe8283ea61160f3b4efab1cd221c127f5603d4f6a235f297c9f3af59816f9db1
Coding
codecontest
Write Python code to solve the task. You are given an undirected unweighted graph consisting of n vertices and m edges. You have to write a number on each vertex of the graph. Each number should be 1, 2 or 3. The graph becomes beautiful if for each edge the sum of numbers on vertices connected by this edge is odd. Ca...
Step 1: The problem seems to involve graph theory and permutations. Step 2: To solve the problem, we need to traverse the graph and determine the number of possible colorings that satisfy the given conditions. Step 3: The use of modular arithmetic suggests that this problem can be solved using dynamic programming to...
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f74a21f5f52db59160f06fd7d5ed6b231f38d42f87af766dcab1ed874ce1528d
Coding
codecontest
Write Python code to solve the task. You are given an undirected unweighted graph consisting of n vertices and m edges. You have to write a number on each vertex of the graph. Each number should be 1, 2 or 3. The graph becomes beautiful if for each edge the sum of numbers on vertices connected by this edge is odd. Ca...
Step 1: We need to calculate the number of possible ways to distribute numbers 1, 2, and 3 on the vertices of a given graph so that it becomes beautiful. Step 2: This can be achieved using a modified version of breadth-first search (BFS) to check if the coloring scheme of vertices in the graph is valid. Step 3: We w...
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f74a21f5f52db59160f06fd7d5ed6b231f38d42f87af766dcab1ed874ce1528d
Coding
codecontest
Write Python code to solve the task. You are given an undirected unweighted graph consisting of n vertices and m edges. You have to write a number on each vertex of the graph. Each number should be 1, 2 or 3. The graph becomes beautiful if for each edge the sum of numbers on vertices connected by this edge is odd. Ca...
Step 1: The problem requires us to find the number of possible ways to write numbers 1, 2, and 3 on the vertices of the graph so that the sum of numbers on the vertices connected by each edge is odd. We need to implement a solution that involves graph traversal and coloring of vertices. The algorithm should consider ...
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f74a21f5f52db59160f06fd7d5ed6b231f38d42f87af766dcab1ed874ce1528d
Coding
codecontest
Write Python code to solve the task. There are n psychos standing in a line. Each psycho is assigned a unique integer from 1 to n. At each step every psycho who has an id greater than the psycho to his right (if exists) kills his right neighbor in the line. Note that a psycho might kill and get killed at the same step....
Step 1: We need to calculate the number of steps needed for the moment when nobody will kill their neighbor. We need to iterate over the list of psychos and calculate the steps needed to reach that state. Step 2: We'll use iteration and comparisons to determine if a psycho kills their neighbor. We also need to keep t...
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0d583153542183520b11c5b8f9d884eefe9fe460e8ea07c07f5577ac73f7b8c4
Coding
codecontest
Write Python code to solve the task. There are n psychos standing in a line. Each psycho is assigned a unique integer from 1 to n. At each step every psycho who has an id greater than the psycho to his right (if exists) kills his right neighbor in the line. Note that a psycho might kill and get killed at the same step....
Step 1: The problem requires finding the maximum number of steps before no psycho kills their right neighbor. Step 2: To solve this problem, we can iterate through the list of psychos' ids and keep track of their killings. Step 3: We need to find the longest sequence of killings before no psycho can kill their neig...
8ae9bbb74f5ec856a3a6ab61150f31b77232286e2063455260e2977ad0e816fc_1_1
0d583153542183520b11c5b8f9d884eefe9fe460e8ea07c07f5577ac73f7b8c4
Coding
codecontest
Write Python code to solve the task. There are n psychos standing in a line. Each psycho is assigned a unique integer from 1 to n. At each step every psycho who has an id greater than the psycho to his right (if exists) kills his right neighbor in the line. Note that a psycho might kill and get killed at the same step....
Step 1: To solve this problem, we need to find an algorithm to determine the number of steps needed to reach a moment where nobody kills their neighbor in the line. Step 2: We can start by understanding the input representation and the expected output. Then, we can devise an approach to iteratively update the state ...
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0d583153542183520b11c5b8f9d884eefe9fe460e8ea07c07f5577ac73f7b8c4
Coding
codecontest
Write Python code to solve the task. Abhimanyu simply drew two triangles, as shown in the picture below- He says this, Level 1 Triangles. Then he drew two more triangles, as shown in the picture below- He says this, Level 2 Triangles. Similarly he defined Level 3, 4, 5, ..., N Triangles. You simply need to tell him t...
Step 1: The problem specifies that Abhimanyu draws triangles and defines levels for them. The number of triangles in a level seems to increase with the level number. Step 2: We need to figure out the pattern of the number of triangles for each level and find a formula to calculate it for a given level N. Step 3: The...
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5557e5c28a03b29e203e447175c9b5ddb08fff5341d35a41975465e275d4b50a
Coding
codecontest
Write Python code to solve the task. Abhimanyu simply drew two triangles, as shown in the picture below- He says this, Level 1 Triangles. Then he drew two more triangles, as shown in the picture below- He says this, Level 2 Triangles. Similarly he defined Level 3, 4, 5, ..., N Triangles. You simply need to tell him t...
Step 1: We need to calculate the total number of triangles at level N. Step 2: The pattern seems to indicate that the total number of triangles can be calculated using the formula 8*n + 6*(n-1), where n is the level of the triangle. Step 3: We need to implement a function that takes the level of the triangle as inpu...
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5557e5c28a03b29e203e447175c9b5ddb08fff5341d35a41975465e275d4b50a
Coding
codecontest
Write Python code to solve the task. Abhimanyu simply drew two triangles, as shown in the picture below- He says this, Level 1 Triangles. Then he drew two more triangles, as shown in the picture below- He says this, Level 2 Triangles. Similarly he defined Level 3, 4, 5, ..., N Triangles. You simply need to tell him t...
Step 1: To solve this problem, we need to determine a pattern or formula for calculating the total number of triangles in each level of the triangle pattern. Step 2: We can observe the number of triangles in each level for smaller values of N and try to find a pattern that can be generalized for any value of N. Step ...
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5557e5c28a03b29e203e447175c9b5ddb08fff5341d35a41975465e275d4b50a
Coding
codecontest
Write Python code to solve the task. You are given n points on a plane. All the points are distinct and no three of them lie on the same line. Find the number of parallelograms with the vertices at the given points. Input The first line of the input contains integer n (1 ≀ n ≀ 2000) β€” the number of points. Each of t...
Step 1: To solve this problem, we need to find all possible combinations of pairs of points and calculate the midpoints of the line segments joining these points. Step 2: Once we have the midpoints, we can count the number of occurrences of each midpoint and use this count to find the number of parallelograms with t...
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fcaaa90080a419310fbe76645d490609d3ad7411e793c0d423c1679c0cee7a25
Coding
codecontest
Write Python code to solve the task. You are given n points on a plane. All the points are distinct and no three of them lie on the same line. Find the number of parallelograms with the vertices at the given points. Input The first line of the input contains integer n (1 ≀ n ≀ 2000) β€” the number of points. Each of t...
Step 1: To solve this problem, we need to count the number of parallelograms with the given points as vertices. Step 2: We can start by reading the input and storing the coordinates of the points in a list. Step 3: Then, we need to find all possible pairs of points and calculate the midpoint of each pair. Step 4: W...
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fcaaa90080a419310fbe76645d490609d3ad7411e793c0d423c1679c0cee7a25
Coding
codecontest
Write Python code to solve the task. You are given n points on a plane. All the points are distinct and no three of them lie on the same line. Find the number of parallelograms with the vertices at the given points. Input The first line of the input contains integer n (1 ≀ n ≀ 2000) β€” the number of points. Each of t...
Step 1: To solve this problem, we need to find all possible pairs of points and calculate the midpoint of each pair. Then, we can store the midpoints in a dictionary along with the number of times each midpoint occurs. Finally, we can calculate the number of parallelograms using the formula nC2 for the number of midpo...
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fcaaa90080a419310fbe76645d490609d3ad7411e793c0d423c1679c0cee7a25
Coding
codecontest
Write Python code to solve the task. There is an infinite sequence consisting of all positive integers in the increasing order: p = {1, 2, 3, ...}. We performed n swap operations with this sequence. A swap(a, b) is an operation of swapping the elements of the sequence on positions a and b. Your task is to find the numb...
Step 1: The problem seems to involve simulating swap operations on a sequence and calculating the number of inversions in the resulting sequence. Step 2: We can use a dictionary to keep track of the elements and their positions in the sequence. Step 3: Then, for each swap operation, we can update the positions of th...
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27c13eea21ce437c5e1c16736fe6d9634f9369b326b799a01f565b255149916d
Coding
codecontest
Write Python code to solve the task. There is an infinite sequence consisting of all positive integers in the increasing order: p = {1, 2, 3, ...}. We performed n swap operations with this sequence. A swap(a, b) is an operation of swapping the elements of the sequence on positions a and b. Your task is to find the numb...
Step 1: The problem requires us to perform a series of swap operations on a sequence of positive integers and then find the number of inversions in the resulting sequence. Step 2: We can start by defining a function to calculate the number of inversions in a sequence. Step 3: Then, we can use this function to keep t...
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27c13eea21ce437c5e1c16736fe6d9634f9369b326b799a01f565b255149916d
Coding
codecontest
Write Python code to solve the task. There is an infinite sequence consisting of all positive integers in the increasing order: p = {1, 2, 3, ...}. We performed n swap operations with this sequence. A swap(a, b) is an operation of swapping the elements of the sequence on positions a and b. Your task is to find the numb...
Step 1: To solve this problem, we need to understand how to calculate the number of inversions in a sequence after performing swap operations on it. Step 2: We can create a function to merge two lists while counting inversions. Step 3: Then, we can use this merge function to calculate the number of inversions in t...
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27c13eea21ce437c5e1c16736fe6d9634f9369b326b799a01f565b255149916d
Coding
codecontest
Write Python code to solve the task. You are given a non-empty string s consisting of lowercase letters. Find the number of pairs of non-overlapping palindromic substrings of this string. In a more formal way, you have to find the quantity of tuples (a, b, x, y) such that 1 ≀ a ≀ b < x ≀ y ≀ |s| and substrings s[a... ...
Step 1: To solve this problem, we need to find all non-overlapping palindromic substrings in the given string. Step 2: We can iterate through the string and check for palindromic substrings centered at each character. Step 3: For each palindromic substring, we'll count its occurrences in the prefix and suffix arrays...
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6d1262f458d73d1c9f07e707b2f3bbcf7b90cd40281a6bf82c0a37f9197c54df
Coding
codecontest
Write Python code to solve the task. You are given a non-empty string s consisting of lowercase letters. Find the number of pairs of non-overlapping palindromic substrings of this string. In a more formal way, you have to find the quantity of tuples (a, b, x, y) such that 1 ≀ a ≀ b < x ≀ y ≀ |s| and substrings s[a... ...
Step 1: To solve this problem, we need to determine all pairs of non-overlapping palindromic substrings in a given string. Step 2: We can iterate through the string and its substrings to identify palindromic substrings and count the occurrence of each. Step 3: We can use a set of algorithms to carry out this proces...
7ab82652e708a8bba6c648257bfee0b86fc4de1c83fc5752afee9f35e23a3ce3_1_1
6d1262f458d73d1c9f07e707b2f3bbcf7b90cd40281a6bf82c0a37f9197c54df
Coding
codecontest
Write Python code to solve the task. You are given a non-empty string s consisting of lowercase letters. Find the number of pairs of non-overlapping palindromic substrings of this string. In a more formal way, you have to find the quantity of tuples (a, b, x, y) such that 1 ≀ a ≀ b < x ≀ y ≀ |s| and substrings s[a... ...
Step 1: The goal of this problem is to find the quantity of pairs of non-overlapping palindromic substrings of a given string. Step 2: We can solve this problem using dynamic programming to determine the number of palindromic substrings that can be formed for each length of the substring. Step 3: By iteratively chec...
2aea71ec97063a7771261e506beee754e1bd8242ab5e99611ee14766e829105e_1_1
6d1262f458d73d1c9f07e707b2f3bbcf7b90cd40281a6bf82c0a37f9197c54df
Coding
codecontest
Write Python code to solve the task. On the xy-plane, Snuke is going to travel from the point (x_s, y_s) to the point (x_t, y_t). He can move in arbitrary directions with speed 1. Here, we will consider him as a point without size. There are N circular barriers deployed on the plane. The center and the radius of the i...
Step 1: To solve this problem, we need to calculate the minimum possible duration of time Snuke is exposed to cosmic rays during the travel. Step 2: We can use Dijkstra's algorithm to solve this problem. Step 3: We'll start with the starting point and consider each barrier as a node in the graph. Step 4: We'll ca...
866e98a420853f169f6bb2698a518391a2a19083629eeb282edf579304a34408_1_1
a4ac5664cfd45fde51f1b158aa23f41848338fff2ab80a53c9359534422fc4eb
Coding
codecontest
Write Python code to solve the task. On the xy-plane, Snuke is going to travel from the point (x_s, y_s) to the point (x_t, y_t). He can move in arbitrary directions with speed 1. Here, we will consider him as a point without size. There are N circular barriers deployed on the plane. The center and the radius of the i...
Step 1: To solve this problem, we need to find the minimum possible duration of time Snuke is exposed to cosmic rays during his travel from (x_s, y_s) to (x_t, y_t). Step 2: We can use Dijkstra's algorithm to determine the minimum possible duration. Step 3: Dijkstra's algorithm can be used to find the shortest path...
c75601af685d0eb17dcd43a3436cc8c98fec11d81c321dc1b28535695acca297_1_1
a4ac5664cfd45fde51f1b158aa23f41848338fff2ab80a53c9359534422fc4eb
Coding
codecontest
Write Python code to solve the task. On the xy-plane, Snuke is going to travel from the point (x_s, y_s) to the point (x_t, y_t). He can move in arbitrary directions with speed 1. Here, we will consider him as a point without size. There are N circular barriers deployed on the plane. The center and the radius of the i...
Step 1: The problem is about finding the minimum possible duration of time Snuke is exposed to cosmic rays while traveling from point (x_s, y_s) to point (x_t, y_t). Step 2: To solve this problem, we can use Dijkstra's algorithm to find the minimum possible duration of time Snuke is exposed to cosmic rays. Step 3: W...
7e8854d511c6ea3cb58515ca42a6a47c730d64b06f6aa62ec3cbbc7f19b20bb2_1_1
a4ac5664cfd45fde51f1b158aa23f41848338fff2ab80a53c9359534422fc4eb
Coding
codecontest
Write Python code to solve the task. ICPC Ranking Your mission in this problem is to write a program which, given the submission log of an ICPC (International Collegiate Programming Contest), determines team rankings. The log is a sequence of records of program submission in the order of submission. A record has four...
Step 1: To solve this problem, we need to first parse the input to extract the data for submission records and team rankings. Step 2: Then, we can calculate the consumed time for each problem solved and use this information to determine the team rankings. Step 3: To calculate the consumed time, we need to consider t...
21cd09197cbec197287d0a58dee21bb6242440d79e796eaf6a2d3a98484deaf8_1_1
287e30b919e9d60ecd1ba035f3431016c9bf84a8654a53d0b624ec00aa819e34
Coding
codecontest
Write Python code to solve the task. ICPC Ranking Your mission in this problem is to write a program which, given the submission log of an ICPC (International Collegiate Programming Contest), determines team rankings. The log is a sequence of records of program submission in the order of submission. A record has four...
Step 1: The problem requires sorting teams based on three criteria: the number of problems solved, total consumed time, and the team number. Step 2: Teams that solved more problems are ranked higher. Teams with the same number of solved problems are ranked based on lower total consumed time. Step 3: If two or more t...
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