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stringclasses
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Coding
codecontest
Write Python code to solve the task. Vasya's house is situated in a forest, and there is a mushroom glade near it. The glade consists of two rows, each of which can be divided into n consecutive cells. For each cell Vasya knows how fast the mushrooms grow in this cell (more formally, how many grams of mushrooms grow in...
Step 1: To solve this problem, we need to calculate the maximum total weight of mushrooms that Vasya can collect by choosing the optimal route through the glade. Step 2: We can use dynamic programming to calculate the weight of mushrooms that can be collected by visiting each cell. Step 3: We'll consider two cases...
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Coding
codecontest
Write Python code to solve the task. After all the events in Orlando we all know, Sasha and Roma decided to find out who is still the team's biggest loser. Thankfully, Masha found somewhere a revolver with a rotating cylinder of n bullet slots able to contain exactly k bullets, now the boys have a chance to resolve the...
Step 1: The given problem describes the selection of slots in a revolver that minimizes the probability of loss for one of the players. Step 2: The process involves initializing a first value, calculating a retrieval, and determining the expected outcome for each position. Step 3: Based on the results, the specified...
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Coding
codecontest
Write Python code to solve the task. After all the events in Orlando we all know, Sasha and Roma decided to find out who is still the team's biggest loser. Thankfully, Masha found somewhere a revolver with a rotating cylinder of n bullet slots able to contain exactly k bullets, now the boys have a chance to resolve the...
Step 1: To solve this problem, we need to find a strategy for Sasha to minimize the probability of his own loss by charging the revolver slots in such a way that the string is lexicographically minimal. Step 2: We'll start by calculating the first few slots of the cylinder based on n, m, and k. Step 3: Then we'll it...
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Coding
codecontest
Write Python code to solve the task. The ancient Berlanders believed that the longer the name, the more important its bearer is. Thus, Berland kings were famous for their long names. But long names are somewhat inconvenient, so the Berlanders started to abbreviate the names of their kings. They called every king by the...
Step 1: The problem requires finding the maximally long name of the dynasty that could have existed in Berland based on a given list of abbreviated names. Step 2: We can approach this problem by iterating through all the abbreviated names and applying certain rules based on the conditions provided in the problem. Ste...
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Coding
codecontest
Write Python code to solve the task. The ancient Berlanders believed that the longer the name, the more important its bearer is. Thus, Berland kings were famous for their long names. But long names are somewhat inconvenient, so the Berlanders started to abbreviate the names of their kings. They called every king by the...
Step 1: The problem can be solved by using dynamic programming. We need to consider the abbreviation names and iteratively check for the maximum length of the sequence that satisfies the specified constraints. We can do this by constructing a 2D memoization table and computing the maximum sequence length using dynamic...
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Coding
codecontest
Write Python code to solve the task. You've got a undirected graph G, consisting of n nodes. We will consider the nodes of the graph indexed by integers from 1 to n. We know that each node of graph G is connected by edges with at least k other nodes of this graph. Your task is to find in the given graph a simple cycle ...
Step 1: The task requires finding a simple cycle of length at least k + 1 in an undirected graph. We can approach this by performing a depth-first search (DFS) on the graph to identify cycles. Step 2: We can use an adjacency list representation to store the graph and keep track of visited nodes during the DFS to iden...
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Coding
codecontest
Write Python code to solve the task. You've got a undirected graph G, consisting of n nodes. We will consider the nodes of the graph indexed by integers from 1 to n. We know that each node of graph G is connected by edges with at least k other nodes of this graph. Your task is to find in the given graph a simple cycle ...
Step 1: There's a need to find the length of a simple cycle in the given graph with at least k + 1 length. Step 2: As a step to solve this problem, a depth-first search (DFS) algorithm is so helpful to detect a cycle in an undirected graph. Step 3: We need to consider the nodes of the graph indexed by integers from...
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Coding
codecontest
Write Python code to solve the task. Toshizo is the manager of a convenience store chain in Hakodate. Every day, each of the stores in his chain sends him a table of the products that they have sold. Toshizo's job is to compile these figures and calculate how much the stores have sold in total. The type of a table tha...
Step 1: The program needs to read the input data sets, calculate the missing numbers in the table, and print the missing numbers if a unique solution exists. If there is no unique solution, the program should print "NO". Step 2: The program is likely to use nested loops to iterate through the data and update missing ...
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Coding
codecontest
Write Python code to solve the task. Toshizo is the manager of a convenience store chain in Hakodate. Every day, each of the stores in his chain sends him a table of the products that they have sold. Toshizo's job is to compile these figures and calculate how much the stores have sold in total. The type of a table tha...
Step 1: This problem involves reconstructing a table given the sales data with some missing numbers. Step 2: We need to handle multiple datasets, each represented by product rows and totals. Step 3: We need to identify missing values in the inputs and find suitable values to replace them. Step 4: We also need to ch...
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Coding
codecontest
Write Python code to solve the task. Being stuck at home, Ray became extremely bored. To pass time, he asks Lord Omkar to use his time bending power: Infinity Clock! However, Lord Omkar will only listen to mortals who can solve the following problem: You are given an array a of n integers. You are also given an intege...
Step 1: The problem requires us to perform k operations on an array. Step 2: In each operation, we find the maximum value in the array and then replace each element in the array with the difference between the maximum value and the element itself. Step 3: We need to repeat this process k times and then output the fi...
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Coding
codecontest
Write Python code to solve the task. Being stuck at home, Ray became extremely bored. To pass time, he asks Lord Omkar to use his time bending power: Infinity Clock! However, Lord Omkar will only listen to mortals who can solve the following problem: You are given an array a of n integers. You are also given an intege...
Step 1: This problem can be solved by simulating the given operations for the array and predicting the final values. Step 2: We need to perform k operations, where each operation updates the array based on the maximum value and the difference between the maximum value and the array elements. Step 3: We'll need to wr...
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Coding
codecontest
Write Python code to solve the task. Tourist walks along the X axis. He can choose either of two directions and any speed not exceeding V. He can also stand without moving anywhere. He knows from newspapers that at time t1 in the point with coordinate x1 an interesting event will occur, at time t2 in the point with coo...
Step 1: The problem requires finding the maximum number of events the tourist can visit, given specific constraints. Step 2: We'll need to consider the coordinates and times of the events, as well as the maximum speed of the tourist. Step 3: The problem also asks us to find the maximum number of events the tourist c...
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Coding
codecontest
Write Python code to solve the task. Tourist walks along the X axis. He can choose either of two directions and any speed not exceeding V. He can also stand without moving anywhere. He knows from newspapers that at time t1 in the point with coordinate x1 an interesting event will occur, at time t2 in the point with coo...
Step 1: To solve this problem, we need to find the maximum number of events the tourist can visit, starting from point 0 at time 0 and if he chooses the initial point for himself. Step 2: We can calculate the time taken to reach each event from the starting point and check how many events he can visit within the give...
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Coding
codecontest
Write Python code to solve the task. Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" — you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It ...
Step 1: To solve this problem, we need to iterate through possible numeral systems that can represent the given Martian time. This involves converting the base-b time to base-10 and checking if the hours and minutes are within the valid range. If the time is within the valid range for a particular base, then the base ...
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Coding
codecontest
Write Python code to solve the task. Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" — you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It ...
Step 1: The problem requires us to determine the radixes of all numeral systems that can contain the time given in the input in the increasing order. We need to consider all possible numeral systems to check if they can represent the time provided in the input. We should check the radixes in increasing order and retur...
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Coding
codecontest
Write Python code to solve the task. You are given a table a of size 2 × n (i.e. two rows and n columns) consisting of integers from 1 to n. In one move, you can choose some column j (1 ≤ j ≤ n) and swap values a_{1, j} and a_{2, j} in it. Each column can be chosen no more than once. Your task is to find the minimum ...
Step 1: The problem involves finding the minimum number of moves required to obtain permutations in both the first and second rows of the table. Step 2: We can keep track of the positions of the integers in the two rows and perform swaps between them to rearrange the columns to obtain the permutations. Step 3: The ...
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Coding
codecontest
Write Python code to solve the task. You are given a table a of size 2 × n (i.e. two rows and n columns) consisting of integers from 1 to n. In one move, you can choose some column j (1 ≤ j ≤ n) and swap values a_{1, j} and a_{2, j} in it. Each column can be chosen no more than once. Your task is to find the minimum ...
Step 1: The problem is asking us to find the minimum number of moves needed to get permutations in both the first and second rows of the table or determine if it's impossible. We need to understand the structure of the table and how the swapping of values in columns changes the permutations. The algorithm processes ea...
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Coding
codecontest
Write Python code to solve the task. You are given a tree consisting of n vertices. A tree is an undirected connected acyclic graph. <image> Example of a tree. You have to paint each vertex into one of three colors. For each vertex, you know the cost of painting it in every color. You have to paint the vertices so t...
Step 1: The problem requires finding the minimum cost of coloring the vertices of a tree such that no path of 3 distinct vertices has the same color for any two vertices. Step 2: To solve this problem, we can start by parsing the input to get the number of vertices, the cost of painting each vertex in each color, and...
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Coding
codecontest
Write Python code to solve the task. You are given a tree consisting of n vertices. A tree is an undirected connected acyclic graph. <image> Example of a tree. You have to paint each vertex into one of three colors. For each vertex, you know the cost of painting it in every color. You have to paint the vertices so t...
Step 1: The problem requires finding the minimum cost of painting vertices in a tree with three colors while ensuring that no path with exactly three distinct vertices contains vertices with equal colors. The solution appears to start by defining functions for input/output for handling the given tree data and vertex c...
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4e2f744444ec7206ad6c8331833a70d61c51a31c34bb6eb9859c5fa52f784e4d
Coding
codecontest
Write Python code to solve the task. On his free time, Chouti likes doing some housework. He has got one new task, paint some bricks in the yard. There are n bricks lined in a row on the ground. Chouti has got m paint buckets of different colors at hand, so he painted each brick in one of those m colors. Having finis...
Step 1: The goal is to count the number of ways Chouti can paint the bricks, given the number of bricks, the number of colors, and the number of bricks with a color different from the color of the brick to its left. Step 2: We can use dynamic programming to solve this problem, as there is an overlapping subproblem st...
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1a1780d09f0bb840d3772ae550a02c91c9a7605b97848c83732034805094e81e
Coding
codecontest
Write Python code to solve the task. On his free time, Chouti likes doing some housework. He has got one new task, paint some bricks in the yard. There are n bricks lined in a row on the ground. Chouti has got m paint buckets of different colors at hand, so he painted each brick in one of those m colors. Having finis...
Step 1: To solve this problem, we need to calculate the number of ways to paint the bricks based on the given input values. Step 2: We can use the given formula to calculate the number of ways and then apply the modulo operation to the result to get the final output. Step 3: It seems like the provided solution is us...
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1a1780d09f0bb840d3772ae550a02c91c9a7605b97848c83732034805094e81e
Coding
codecontest
Write Python code to solve the task. There are N balls and N+1 holes in a line. Balls are numbered 1 through N from left to right. Holes are numbered 1 through N+1 from left to right. The i-th ball is located between the i-th hole and (i+1)-th hole. We denote the distance between neighboring items (one ball and one hol...
Step 1: To solve this problem, we need to calculate the expected total distance rolled by all balls during this process. Step 2: We are given the number of balls, the initial distance, and the difference between the distances for the balls and holes. Step 3: We need to calculate the expected total distance rolled by...
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9f0777462ff5a09ff6e593ab73aa9bf938356dc60e5530bfa67dead6a2e83563
Coding
codecontest
Write Python code to solve the task. There are N balls and N+1 holes in a line. Balls are numbered 1 through N from left to right. Holes are numbered 1 through N+1 from left to right. The i-th ball is located between the i-th hole and (i+1)-th hole. We denote the distance between neighboring items (one ball and one hol...
Step 1: The problem asks us to calculate the expected total distance rolled by all the balls when pushing them one by one into holes, given the distance between the neighboring items and the number of balls. Step 2: To solve this, we need to consider the probability of each ball dropping into a hole and the distance ...
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9f0777462ff5a09ff6e593ab73aa9bf938356dc60e5530bfa67dead6a2e83563
Coding
codecontest
Write Python code to solve the task. Xenia has a set of weights and pan scales. Each weight has an integer weight from 1 to 10 kilos. Xenia is going to play with scales and weights a little. For this, she puts weights on the scalepans, one by one. The first weight goes on the left scalepan, the second weight goes on th...
Step 1: The problem involves finding a way to put m weights on the scales according to specific rules defined. We need to determine whether it is possible to arrange the weights according to the rules and if possible, we need to print the weights in the order they are arranged. To solve the problem, we can start by ...
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d0ef0c73fd31793ba617a7eac3dbe2729ccd1e0aa0dc86929d6397efab8f4641
Coding
codecontest
Write Python code to solve the task. Xenia has a set of weights and pan scales. Each weight has an integer weight from 1 to 10 kilos. Xenia is going to play with scales and weights a little. For this, she puts weights on the scalepans, one by one. The first weight goes on the left scalepan, the second weight goes on th...
Step 1: The problem requires a solution that lays m weights on the scales under certain conditions. Step 2: We need to come up with some rules and conditions that needs to be fulfilled for Xenia to lay m weights on the scale. Step 3: We can solve this problem using a depth-first search (DFS) algorithm to find a vali...
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d0ef0c73fd31793ba617a7eac3dbe2729ccd1e0aa0dc86929d6397efab8f4641
Coding
codecontest
Write Python code to solve the task. While Grisha was celebrating New Year with Ded Moroz, Misha gifted Sasha a small rectangular pond of size n × m, divided into cells of size 1 × 1, inhabited by tiny evil fishes (no more than one fish per cell, otherwise they'll strife!). The gift bundle also includes a square scoop...
Step 1: This problem involves placing a given number of fishes in the pond to maximize the expected number of caught fishes when using a square scoop. Step 2: The logic behind the solution involves calculating the expected number of fishes caught for different positions of the scoop, and then determining the fish pla...
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Coding
codecontest
Write Python code to solve the task. While Grisha was celebrating New Year with Ded Moroz, Misha gifted Sasha a small rectangular pond of size n × m, divided into cells of size 1 × 1, inhabited by tiny evil fishes (no more than one fish per cell, otherwise they'll strife!). The gift bundle also includes a square scoop...
Step 1: The problem requires us to find the maximum expected number of caught fishes when k fishes are placed optimally in an empty pond. Step 2: The current solution seems to involve a binary search and statistical analysis to find the optimal placement of fishes to maximize the expected number of caught fishes. Ste...
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b3825b09ebe62b6e1854d8f45a72db2264e6d6c13613ec90c5c13f906c495d15
Coding
codecontest
Write Python code to solve the task. You are given an array of integers b_1, b_2, …, b_n. An array a_1, a_2, …, a_n of integers is hybrid if for each i (1 ≤ i ≤ n) at least one of these conditions is true: * b_i = a_i, or * b_i = ∑_{j=1}^{i} a_j. Find the number of hybrid arrays a_1, a_2, …, a_n. As the res...
Step 1: The problem requires us to find the number of hybrid arrays a_1, a_2, …, a_n where each a_i satisfies the given conditions. Step 2: To solve this problem, we can use dynamic programming to keep track of the counts of hybrid arrays based on the given conditions. Step 3: We need to iterate through the input ar...
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4cf757a785923424593eae2d60599f612a5c9a12a7bc38b1c1c58ff1791efa74
Coding
codecontest
Write Python code to solve the task. You are given an array of integers b_1, b_2, …, b_n. An array a_1, a_2, …, a_n of integers is hybrid if for each i (1 ≤ i ≤ n) at least one of these conditions is true: * b_i = a_i, or * b_i = ∑_{j=1}^{i} a_j. Find the number of hybrid arrays a_1, a_2, …, a_n. As the res...
Step 1: The problem requires finding the number of arrays that satisfy specific conditions. Step 2: We need to iterate through the test cases and then for each test case, iterate through the array and calculate specific values. Step 3: We must calculate the arrays modulo 10^9 + 7. Step 4: The use of defaultdict and...
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4cf757a785923424593eae2d60599f612a5c9a12a7bc38b1c1c58ff1791efa74
Coding
codecontest
Write Python code to solve the task. Innokenty is a president of a new football league in Byteland. The first task he should do is to assign short names to all clubs to be shown on TV next to the score. Of course, the short names should be distinct, and Innokenty wants that all short names consist of three letters. Ea...
Step 1: To solve this problem, we need to assign short names to each club in such a way that the names are distinct and satisfy the given constraints. We can achieve this by implementing a set of rules based on the conditions given in the problem statement. We need to ensure that the first two letters of the short nam...
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b3da9ebc980d75e3a0d6f70b9b464328aa2ef16d3bc6f390101ba0fbe3806a1b
Coding
codecontest
Write Python code to solve the task. Innokenty is a president of a new football league in Byteland. The first task he should do is to assign short names to all clubs to be shown on TV next to the score. Of course, the short names should be distinct, and Innokenty wants that all short names consist of three letters. Ea...
Step 1: To solve this problem, we need to iterate through the input club names and determine the short names according to the given rules. Step 2: We also need to maintain a record of which short names have been assigned to each club and check if the rules are violated during the assignment process. Step 3: If the r...
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b3da9ebc980d75e3a0d6f70b9b464328aa2ef16d3bc6f390101ba0fbe3806a1b
Coding
codecontest
Write Python code to solve the task. Merge sort is a well-known sorting algorithm. The main function that sorts the elements of array a with indices from [l, r) can be implemented as follows: 1. If the segment [l, r) is already sorted in non-descending order (that is, for any i such that l ≤ i < r - 1 a[i] ≤ a[i + 1...
Step 1: The problem requires finding an array of size n such that the number of merge sort calls required to sort the array is k. Step 2: To solve this, we need to determine the pattern of the array as it is being constructed using the given algorithm to get the required number of merge sort calls. Step 3: We also n...
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e3960ffac29ec50379598ced12aab0a8bb1e8257c873fb01b1b5de5cccd18d4a
Coding
codecontest
Write Python code to solve the task. Merge sort is a well-known sorting algorithm. The main function that sorts the elements of array a with indices from [l, r) can be implemented as follows: 1. If the segment [l, r) is already sorted in non-descending order (that is, for any i such that l ≤ i < r - 1 a[i] ≤ a[i + 1...
Step 1: The problem requires finding a permutation of size n such that the number of calls of the mergesort function is k. Step 2: Since the size of the array and the number of calls are parameters, the function to solve the problem should accept these inputs and return the array. Step 3: One approach to solving thi...
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e3960ffac29ec50379598ced12aab0a8bb1e8257c873fb01b1b5de5cccd18d4a
Coding
codecontest
Write Python code to solve the task. Hit n nails one by one at the coordinates P1 (x1, y1), P2 (x2, y2), P3 (x3, y3), ..., Pn (xn, yn) on the flat plate, and put them on the rubber band ring. Surround it with a single rubber band so that all the nails fit inside. At this time, the rubber bands must not intersect. Crea...
Step 1: To solve this problem, we need to determine the number of nails that are not in contact with the rubber band when the nails are surrounded by the rubber band. Step 2: To identify the nails not in contact, we must calculate the orientation of each nail with respect to the first nail, sort the nails by their an...
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Coding
codecontest
Write Python code to solve the task. Hit n nails one by one at the coordinates P1 (x1, y1), P2 (x2, y2), P3 (x3, y3), ..., Pn (xn, yn) on the flat plate, and put them on the rubber band ring. Surround it with a single rubber band so that all the nails fit inside. At this time, the rubber bands must not intersect. Crea...
Step 1: To solve this problem, we need to find an algorithm to determine whether given nails will be in contact with the rubber band or not. This might involve checking for any intersecting lines to determine the nails in contact with the rubber band. Step 2: We should also handle inputting the coordinates and proces...
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a6cdada3a420ccf2f17ea8542c4c2515b1d6cb76599f115e7a2815c166f366a8
Coding
codecontest
Write Python code to solve the task. Recently Vasya found a golden ticket — a sequence which consists of n digits a_1a_2... a_n. Vasya considers a ticket to be lucky if it can be divided into two or more non-intersecting segments with equal sums. For example, ticket 350178 is lucky since it can be divided into three se...
Step 1: The problem is asking to check if the given golden ticket can be divided into two or more non-intersecting segments with equal sums. Step 2: The first step is to process the input. We need to read the number of digits in the ticket and the ticket itself. Step 3: Then, we need to calculate the cumulative sum ...
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48981db4795b5aafcfa63120dd5d17d619ef04a4ec53dc82fa7f5c28a4227d7c
Coding
codecontest
Write Python code to solve the task. Recently Vasya found a golden ticket — a sequence which consists of n digits a_1a_2... a_n. Vasya considers a ticket to be lucky if it can be divided into two or more non-intersecting segments with equal sums. For example, ticket 350178 is lucky since it can be divided into three se...
Step 1: To determine if a ticket is lucky, we need to calculate all the possible segmentations and check if any of them have equal sums. Step 2: We need to break down the problem as mentioned and find all possible segmentations of the given ticket. Step 3: For each segmentation, we need to check if the sum of each s...
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48981db4795b5aafcfa63120dd5d17d619ef04a4ec53dc82fa7f5c28a4227d7c
Coding
codecontest
Write Python code to solve the task. The students of college XYZ are getting jealous of the students of college ABC. ABC managed to beat XYZ in all the sports and games events. The main strength of the students of ABC is their unity. The students of XYZ decide to destroy this unity. The geeks of XYZ prepared a specia...
Step 1: The problem involves analyzing the relationships between the students and determining the impacts of those relationships when they become violent due to the effects of the perfume. Step 2: First, we need to understand the input data and the relationships provided. We have N boys and N girls, each having a cru...
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Coding
codecontest
Write Python code to solve the task. The students of college XYZ are getting jealous of the students of college ABC. ABC managed to beat XYZ in all the sports and games events. The main strength of the students of ABC is their unity. The students of XYZ decide to destroy this unity. The geeks of XYZ prepared a specia...
Step 1: The problem requires us to handle a number of test cases. Each test case involves a group of boys and girls with a mutual crush on each other. Due to a situation where they decide to beat up their crush's crush while under the effect of a special perfume, we need to calculate the number of beatings received by...
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ede2e82ac4bd3545472e47d45d055f9a26042665500db3c5d520351d3d956abe
Coding
codecontest
Write Python code to solve the task. After learning basics of arrays and strings, Dark started wondering that if we can sort the numbers then why not STRINGS? Deeply thinking and looking the various strings lying in the string pool, he decided to ascend or descend the string according to his wish. Ascending means str...
Step 1: To solve this problem, we need to create a code that can sort the strings in ascending or descending order. This code needs to identify the upper case alphabets in the given string, sort them according to the given order, and print the result. If the string has no upper case alphabets, we should print "NULL". ...
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158224f87b49a35d75ae1818c8fda4a8848e1f7796d4bb470f92a2a5522cf83d
Coding
codecontest
Write Python code to solve the task. After learning basics of arrays and strings, Dark started wondering that if we can sort the numbers then why not STRINGS? Deeply thinking and looking the various strings lying in the string pool, he decided to ascend or descend the string according to his wish. Ascending means str...
Step 1: The problem asks for a program that sorts a given string in ascending or descending order, depending on a given integer. Step 2: We need to separate the uppercase letters from the string and then sort them accordingly. Step 3: If the input string doesn't contain uppercase letters, we should print "NULL". Ste...
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158224f87b49a35d75ae1818c8fda4a8848e1f7796d4bb470f92a2a5522cf83d
Coding
codecontest
Write Python code to solve the task. Recently Monocarp got a job. His working day lasts exactly m minutes. During work, Monocarp wants to drink coffee at certain moments: there are n minutes a_1, a_2, ..., a_n, when he is able and willing to take a coffee break (for the sake of simplicity let's consider that each coffe...
Step 1: The problem is asking us to find the minimum number of days needed for Monocarp to take all his coffee breaks while ensuring there are at least d minutes between any two consecutive coffee breaks. Step 2: To solve this problem, we can use a priority queue to keep track of the coffee breaks and the days on whi...
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Coding
codecontest
Write Python code to solve the task. Recently Monocarp got a job. His working day lasts exactly m minutes. During work, Monocarp wants to drink coffee at certain moments: there are n minutes a_1, a_2, ..., a_n, when he is able and willing to take a coffee break (for the sake of simplicity let's consider that each coffe...
Step 1: The task is to minimize the number of working days Monocarp needs to take his n coffee breaks. He needs to ensure that the consecutive breaks are at least d minutes apart and do it in the minimum possible number of days. Step 2: To begin, we need to understand the constraints and how the coffee breaks during...
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792cf92e379f6a8cf23aef74c5006e805c9a40705a9128e21919458d51676516
Coding
codecontest
Write Python code to solve the task. Now Serval is a junior high school student in Japari Middle School, and he is still thrilled on math as before. As a talented boy in mathematics, he likes to play with numbers. This time, he wants to play with numbers on a rooted tree. A tree is a connected graph without cycles. ...
Step 1: To solve this problem, we need to understand the structure of a rooted tree and how the numbers are arranged within the tree. Step 2: We should also identify the properties of the parent and children nodes of each vertex. Step 3: We can use dynamic programming to solve this problem by considering the impact...
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468e179a10405ca6cf24a5eb70f8ca0061f776bfa56f268f86023a9e35545fb2
Coding
codecontest
Write Python code to solve the task. Now Serval is a junior high school student in Japari Middle School, and he is still thrilled on math as before. As a talented boy in mathematics, he likes to play with numbers. This time, he wants to play with numbers on a rooted tree. A tree is a connected graph without cycles. ...
Step 1: This problem provides a rooted tree with specific operations on each non-leaf node. We need to find the maximum number in the root given constraints. Step 2: To solve this problem, we can use dynamic programming to traverse the tree in a bottom-up approach and calculate the maximum number in the root. Step 3:...
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468e179a10405ca6cf24a5eb70f8ca0061f776bfa56f268f86023a9e35545fb2
Coding
codecontest
Write Python code to solve the task. You have a tree of n vertices. You are going to convert this tree into n rubber bands on infinitely large plane. Conversion rule follows: * For every pair of vertices a and b, rubber bands a and b should intersect if and only if there is an edge exists between a and b in the tree...
Step 1: This problem involves converting a tree into rubber bands on an infinitely large plane and finding the maximum length of a sequence of nested rubber bands. Step 2: To find the maximum length of the nested rubber band sequence, we need to traverse the tree and calculate the lengths of consecutive rubber band s...
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ee6a4b49fdd350422d64b4a0dae61300d90cbf251b0f0917a462291e5dd7f15c
Coding
codecontest
Write Python code to solve the task. You have a tree of n vertices. You are going to convert this tree into n rubber bands on infinitely large plane. Conversion rule follows: * For every pair of vertices a and b, rubber bands a and b should intersect if and only if there is an edge exists between a and b in the tree...
Step 1: The problem requires us to find the maximum length of a sequence of nested rubber bands that can be obtained from a given tree. Step 2: We can achieve this by visiting each vertex of the tree and traversing its children to calculate the possible length of a nested sequence of rubber bands. Step 3: To obtain...
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ee6a4b49fdd350422d64b4a0dae61300d90cbf251b0f0917a462291e5dd7f15c
Coding
codecontest
Write Python code to solve the task. The main city magazine offers its readers an opportunity to publish their ads. The format of the ad should be like this: There are space-separated non-empty words of lowercase and uppercase Latin letters. There are hyphen characters '-' in some words, their positions set word wrap...
Step 1: The problem requires us to find the minimal width of the ad that occupies no more than k lines. Step 2: To solve this, we need to consider the input k, the text of the ad, and determine the width that will allow the ad to occupy no more than k lines. Step 3: We can achieve this by figuring out the word wrapp...
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e7496a9bf68285271cc7c0db42cd140a9d5288e4436819430d2ac9d521aabb98
Coding
codecontest
Write Python code to solve the task. The main city magazine offers its readers an opportunity to publish their ads. The format of the ad should be like this: There are space-separated non-empty words of lowercase and uppercase Latin letters. There are hyphen characters '-' in some words, their positions set word wrap...
Step 1: The goal of the program is to determine the minimal width of the ad given the number of lines it occupies. Step 2: The program uses a binary search to find the best width that can fit the ad within the specified number of lines. Step 3: The input consists of the number of lines (k) and the text of the ad, wh...
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e7496a9bf68285271cc7c0db42cd140a9d5288e4436819430d2ac9d521aabb98
Coding
codecontest
Write Python code to solve the task. Ann and Borya have n piles with candies and n is even number. There are ai candies in pile with number i. Ann likes numbers which are square of some integer and Borya doesn't like numbers which are square of any integer. During one move guys can select some pile with candies and ad...
Step 1: To solve this problem, we need to determine which piles need to be modified to have the desired number of candies. Step 2: To determine this, we loop through each pile and determine whether the number of candies is a square of any integer or not. Step 3: We represent these conditions using two arrays, one fo...
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61821769daed53b0e75f06c24e1f653c0a1d1b753eb859d2570000e795db1e42
Coding
codecontest
Write Python code to solve the task. Ann and Borya have n piles with candies and n is even number. There are ai candies in pile with number i. Ann likes numbers which are square of some integer and Borya doesn't like numbers which are square of any integer. During one move guys can select some pile with candies and ad...
Step 1: The given problem involves calculating the minimum number of moves required to achieve a balanced number of piles with candies that are square of some integer and not square of any integer. Step 2: We need to determine if the current state of the piles meets the requirements. If not, we need to calculate the...
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61821769daed53b0e75f06c24e1f653c0a1d1b753eb859d2570000e795db1e42
Coding
codecontest
Write Python code to solve the task. As the Formula One Grand Prix was approaching, the officials decided to make the races a little more interesting with a new set of rules. According to the new set of rules, each driver will be given a vehicle with different height and the driver with maximum SIGHT would win the race...
Step 1: The given problem requires us to calculate the SIGHT of each driver using the given equation and determine the winning driver based on the maximum SIGHT. Step 2: We can input the number of test cases and iterate through each test case. For each test case, we will calculate the SIGHT for each driver and determ...
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fc109c15473efb6be929c7aac01f6265de88d4edc6b0e6e3ff9a1a4347e8abdc
Coding
codecontest
Write Python code to solve the task. As the Formula One Grand Prix was approaching, the officials decided to make the races a little more interesting with a new set of rules. According to the new set of rules, each driver will be given a vehicle with different height and the driver with maximum SIGHT would win the race...
Step 1: The goal is to find the driver with the maximum SIGHT, which is defined as (X * P) % 1000000007, where X = number of drivers a driver can see in front of him + the number of drivers he can see behind him, and P = the position of the driver in the given scenario. Step 2: To achieve this, we need to iterate thr...
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fc109c15473efb6be929c7aac01f6265de88d4edc6b0e6e3ff9a1a4347e8abdc
Coding
codecontest
Write Python code to solve the task. Hyakugoku has just retired from being the resident deity of the South Black Snail Temple in order to pursue her dream of becoming a cartoonist. She spent six months in that temple just playing "Cat's Cradle" so now she wants to try a different game — "Snakes and Ladders". Unfortunat...
Step 1: The solution first creates a 10x10 board and iterates through each cell to calculate the expected minimum number of turns for Hyakugoku to finish the game. Step 2: It then uses dynamic programming to find the minimum expected number of turns based on the given board and ladders. Step 3: There's a lot of iter...
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94dde8a7f3b5a8d9adb16f03986aaa089dcbfca68f2b9ccc6e6c048c7430bd14
Coding
codecontest
Write Python code to solve the task. Hyakugoku has just retired from being the resident deity of the South Black Snail Temple in order to pursue her dream of becoming a cartoonist. She spent six months in that temple just playing "Cat's Cradle" so now she wants to try a different game — "Snakes and Ladders". Unfortunat...
Step 1: This problem involves determining the minimum expected number of turns required for a player to finish the game of Snakes and Ladders on a 10x10 board. To solve this problem, we need to model the game as a Markov decision process and determine an optimal policy for the player. We can then use dynamic programmi...
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94dde8a7f3b5a8d9adb16f03986aaa089dcbfca68f2b9ccc6e6c048c7430bd14
Coding
codecontest
Write Python code to solve the task. This problem is same as the next one, but has smaller constraints. It was a Sunday morning when the three friends Selena, Shiro and Katie decided to have a trip to the nearby power station (do not try this at home). After arriving at the power station, the cats got impressed with a...
Step 1: We need to calculate the number of pairs of wires that are intersecting. Step 2: To achieve this, we need to compute the intersection points of the wires and count the unique intersection points. Step 3: We can use the concept of the greatest common divisor (GCD) to determine the slope of the lines represen...
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61eeefe96c8721f7b32a392d11c34b546b5fcf462bf32438867e7e3b1c30edad
Coding
codecontest
Write Python code to solve the task. This problem is same as the next one, but has smaller constraints. It was a Sunday morning when the three friends Selena, Shiro and Katie decided to have a trip to the nearby power station (do not try this at home). After arriving at the power station, the cats got impressed with a...
Step 1: The task requires counting the number of pairs of wires that are intersecting, given an integer n representing the number of electric poles and the coordinates of these poles. Step 2: The task involves processing the input for the coordinates, determining the slopes of the wires, and counting the intersection...
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61eeefe96c8721f7b32a392d11c34b546b5fcf462bf32438867e7e3b1c30edad
Coding
codecontest
Write Python code to solve the task. Little Petya likes permutations a lot. Recently his mom has presented him permutation q1, q2, ..., qn of length n. A permutation a of length n is a sequence of integers a1, a2, ..., an (1 ≤ ai ≤ n), all integers there are distinct. There is only one thing Petya likes more than pe...
Step 1: The problem aims to determine whether the described situation is possible. We need to determine if, after k-th moves, the board contained Masha's permutation and Masha's permutation never occurred on the board before the k-th move. To solve this problem, we must define a function to perform the coin tossing se...
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7cf5d7c1cf510ae22fdf5684fa70cc0b59d1b419c64b3e903bd6e050352dfcb4
Coding
codecontest
Write Python code to solve the task. Little Petya likes permutations a lot. Recently his mom has presented him permutation q1, q2, ..., qn of length n. A permutation a of length n is a sequence of integers a1, a2, ..., an (1 ≤ ai ≤ n), all integers there are distinct. There is only one thing Petya likes more than pe...
Step 1: The problem requires us to determine if the situation described in the prompt is possible or not. Step 2: We need to simulate Petya's game and determine if Masha's permutation s is reachable through the specified rules. Step 3: We can iterate through the moves and maintain the permutation of the board to de...
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7cf5d7c1cf510ae22fdf5684fa70cc0b59d1b419c64b3e903bd6e050352dfcb4
Coding
codecontest
Write Python code to solve the task. You have 4 types of lego blocks, of sizes (1 x 1 x 1), (1 x 1 x 2), (1 x 1 x 3), and (1 x 1 x 4). Assume that you have an infinite number of blocks of each type. Using these blocks, you want to make a wall of height N and width M. The wall should not have any holes in it. The wall ...
Step 1: To solve this problem, we need to find the number of ways to build a wall given the dimensions N and M. Step 2: We should start by understanding the different ways in which the lego blocks of different sizes can be combined to form the wall. Step 3: Then we need to devise an algorithm to calculate the numbe...
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2d50eff2fdac02596fb8ec9a5a38df7210036f371b1d83d0ec62208c8fc98add
Coding
codecontest
Write Python code to solve the task. You have 4 types of lego blocks, of sizes (1 x 1 x 1), (1 x 1 x 2), (1 x 1 x 3), and (1 x 1 x 4). Assume that you have an infinite number of blocks of each type. Using these blocks, you want to make a wall of height N and width M. The wall should not have any holes in it. The wall ...
Step 1: The problem asks for the number of ways to build a wall of given height and width using Lego blocks such that no holes are present. Step 2: To solve this, we can use dynamic programming to calculate the number of ways to build the wall. Step 3: We will loop through the test cases and calculate the number of ...
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2d50eff2fdac02596fb8ec9a5a38df7210036f371b1d83d0ec62208c8fc98add
Coding
codecontest
Write Python code to solve the task. We all know the impressive story of Robin Hood. Robin Hood uses his archery skills and his wits to steal the money from rich, and return it to the poor. There are n citizens in Kekoland, each person has ci coins. Each day, Robin Hood will take exactly 1 coin from the richest person...
Step 1: To solve this problem, we need to develop an algorithm to calculate the difference between the wealth of the richest and poorest persons in Kekoland after k days. We will take the input values n and k, which represent the number of citizens in Kekoland and the number of days until Robin Hood's retirement, res...
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80e7e88fcf87ce54459899de30b14c634019941ca6c12944012552451146365b
Coding
codecontest
Write Python code to solve the task. We all know the impressive story of Robin Hood. Robin Hood uses his archery skills and his wits to steal the money from rich, and return it to the poor. There are n citizens in Kekoland, each person has ci coins. Each day, Robin Hood will take exactly 1 coin from the richest person...
Step 1: The problem requires us to calculate the difference between the richest and poorest person's wealth after k days of Robin Hood's actions. Step 2: To solve this, we can first sort the wealth of each person, then iterate through the changes that occur for each person on each day while considering the number o...
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80e7e88fcf87ce54459899de30b14c634019941ca6c12944012552451146365b
Coding
codecontest
Write Python code to solve the task. Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way: <image> This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <image> denotes the degree of polynomial P(...
Step 1: The problem is asking to find two polynomials with degrees not greater than n such that their coefficients are integers not exceeding 1 by their absolute value. Step 2: The Euclid's algorithm to find the greatest common divisor of the initialized polynomials is also used. Step 3: The algorithm's steps should...
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4de8f7a9fedfab83205db2ae706fc371d6a6f6a2e820952886901a8bb7f02354
Coding
codecontest
Write Python code to solve the task. Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way: <image> This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <image> denotes the degree of polynomial P(...
Step 1: The problem is asking us to build two polynomials with degrees not greater than n, such that their coefficients are integers not exceeding 1 by their absolute value and the leading coefficients are equal to one. Step 2: This can be done by using Euclid's algorithm to find the greatest common divisor of the t...
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4de8f7a9fedfab83205db2ae706fc371d6a6f6a2e820952886901a8bb7f02354
Coding
codecontest
Write Python code to solve the task. Robert Angier is divising a new magic trick to beat his rival Alfred Borden. He is going to perform a card trick. In this trick, cards are numbered from 1 to N. This trick involves the following process. Angier will invite a person from audience to shuffle the cards in random order....
Step 1: The problem requires us to determine the position of a card numbered K after performing multiple moves as described. Step 2: We need to consider two cases: when N is even and when N is odd. Step 3: We should also verify the possible positions of K when K is an odd number. Step 4: For both cases, we need to ...
08c19d2d9267c4e11506ebf5a2eb5e1a78a2dd77c3aeb83c77a666e448f7c22e_1_1
df05fb06aba0cbda5156fbdd1aff6a95b9a7ebd63707e07c8f732adb32b10cb4
Coding
codecontest
Write Python code to solve the task. Robert Angier is divising a new magic trick to beat his rival Alfred Borden. He is going to perform a card trick. In this trick, cards are numbered from 1 to N. This trick involves the following process. Angier will invite a person from audience to shuffle the cards in random order....
Step 1: The problem asks us to find the position at which a card numbered K should be placed in the deck. Step 2: The solution will involve some conditional logic to determine the position based on the input parameters N and K. Step 3: We'll use the given conditions to determine the position for K in the deck. Step...
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Coding
codecontest
Write Python code to solve the task. Find the area of intersection between a circle $c$ and a polygon $g$. The center coordinate of the circle is ($0, 0$). The polygon $g$ is represented by a sequence of points $p_1$, $p_2$,..., $p_n$ where line segments connecting $p_i$ and $p_{i+1}$ ($1 \leq i \leq n−1$) are sides o...
Step 1: To solve this problem, we need to calculate the area of intersection between a circle and a polygon, represented by a sequence of points. Step 2: We can calculate the area of intersection using the formula for the area of a sector inside a circle and the area of a triangle between two segments of the polygon....
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Coding
codecontest
Write Python code to solve the task. Find the area of intersection between a circle $c$ and a polygon $g$. The center coordinate of the circle is ($0, 0$). The polygon $g$ is represented by a sequence of points $p_1$, $p_2$,..., $p_n$ where line segments connecting $p_i$ and $p_{i+1}$ ($1 \leq i \leq n−1$) are sides o...
Step 1: This problem involves calculating the area of the intersection between a circle and a polygon. Step 2: To solve this problem, we can begin by defining functions to calculate the intersection between the circle and line segments of the polygon. Step 3: We can then use these functions to iterate through each l...
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Coding
codecontest
Write Python code to solve the task. Since Sonya has just learned the basics of matrices, she decided to play with them a little bit. Sonya imagined a new type of matrices that she called rhombic matrices. These matrices have exactly one zero, while all other cells have the Manhattan distance to the cell containing th...
Step 1: The problem asks us to create a rhombic matrix based on a given sequence of elements. The matrix should have a single zero, and all other cells should have the Manhattan distance to the cell containing the zero. Step 2: We need to find the row and column of the cell containing the zero in the matrix. If there...
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Coding
codecontest
Write Python code to solve the task. Since Sonya has just learned the basics of matrices, she decided to play with them a little bit. Sonya imagined a new type of matrices that she called rhombic matrices. These matrices have exactly one zero, while all other cells have the Manhattan distance to the cell containing th...
Step 1: To solve this problem, we need to find a way to recreate the rhombic matrix given the elements in the sequence. Step 2: We can start by creating a function to determine if a valid rhombic matrix can be created from the given sequence of elements. Step 3: After obtaining a valid n x m rhombic matrix, we need ...
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Coding
codecontest
Write Python code to solve the task. Vasilisa the Wise from a far away kingdom got a present from her friend Helga the Wise from a farther away kingdom. The present is a surprise box, yet Vasilisa the Wise doesn't know yet what the surprise actually is because she cannot open the box. She hopes that you can help her in...
Step 1: To solve this problem, we need to consider all possible ways to decorate the box with the given set of colors and find the number of different ways in the worst case scenario. Step 2: We can use permutation to generate all possible ways to place the gems on the box and compare them to find the different ways....
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Coding
codecontest
Write Python code to solve the task. Vasilisa the Wise from a far away kingdom got a present from her friend Helga the Wise from a farther away kingdom. The present is a surprise box, yet Vasilisa the Wise doesn't know yet what the surprise actually is because she cannot open the box. She hopes that you can help her in...
Step 1: The problem requires us to calculate the number of possible ways to decorate a box with six gems of different colors. We need to account for the worst-case scenario. Step 2: To solve this problem, we can generate all the permutations of the input gem colors and apply different rotations to the box to obtain u...
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Coding
codecontest
Write Python code to solve the task. Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to: * choose some pile, let's denote the current number of coins in it as x; * choose some integer...
Step 1: The game involves making optimal moves on piles of coins and determining the winner based on the outcome of the moves. Step 2: To determine the winner, we calculate the Sprague-Grundy (SG) function value for each pile of coins and then determine the overall SG value of the game. Step 3: We need to use the S...
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Coding
codecontest
Write Python code to solve the task. Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to: * choose some pile, let's denote the current number of coins in it as x; * choose some integer...
Step 1: The problem asks us to determine the winner of a game where the players take turns choosing a pile of coins and reducing the number of coins in the pile. The player who can't make a move loses. Step 2: To solve this problem, we need to define a function that determines the Grundy number (sg) for a given numbe...
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Coding
codecontest
Write Python code to solve the task. Inna loves digit 9 very much. That's why she asked Dima to write a small number consisting of nines. But Dima must have misunderstood her and he wrote a very large number a, consisting of digits from 1 to 9. Inna wants to slightly alter the number Dima wrote so that in the end the ...
Step 1: To solve this problem, we need to iterate through the input number and find pairs of adjacent digits that sum to 9. Step 2: We will then keep track of the number of transformations made to maximize the digit nine. Step 3: After processing the entire number, we will calculate the number of distinct numbers co...
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Coding
codecontest
Write Python code to solve the task. Inna loves digit 9 very much. That's why she asked Dima to write a small number consisting of nines. But Dima must have misunderstood her and he wrote a very large number a, consisting of digits from 1 to 9. Inna wants to slightly alter the number Dima wrote so that in the end the ...
Step 1: To solve this problem, we need to find the number of distinct numbers containing as many digits nine as possible from the given number. Step 2: We can iterate through the digits of the number and keep track of the count of consecutive pairs that sum up to 9. Step 3: Then, we need to calculate the number of d...
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Coding
codecontest
Write Python code to solve the task. Life in Bertown has become hard. The city has too many roads and the government spends too much to maintain them. There are n junctions and m two way roads, at which one can get from each junction to any other one. The mayor wants to close some roads so that the number of roads left...
Step 1: The problem asks to find the number of different ways of closing the roads such that it satisfies the given conditions. Step 2: There are n junctions and m roads. The number of roads left should be n - 1 and the number of dead ends should be k. Step 3: We need to calculate the required number of ways for clo...
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Coding
codecontest
Write Python code to solve the task. Life in Bertown has become hard. The city has too many roads and the government spends too much to maintain them. There are n junctions and m two way roads, at which one can get from each junction to any other one. The mayor wants to close some roads so that the number of roads left...
Step 1: The problem requires us to find the number of different ways to close roads while satisfying certain conditions. Step 2: We need to consider the number of junctions, roads, and the required number of dead ends. Step 3: We should process each pair of junctions and roads to identify the possible number of ways...
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fc2dd2181fe57d898154bde1478987b4f3f653db224b22968f2ce0dcbe88e9e9
Coding
codecontest
Write Python code to solve the task. The end sem exams at are over. Sneh is the class teacher of class X/C. She now has the hectic task of preparing the report card of her class. Since Sneh is a computer teacher she tried to infuse some fun into his task. Sneh knew that there are n students in class and they had k sub...
Step 1: The problem involves determining the worst performer in a series of subjects given the marks of the students. We need to consider subjects priority-wise and select the worst performer for each subject. If there's a tie, we need to select the student with the smallest ID. Step 2: Given the number of students,...
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Coding
codecontest
Write Python code to solve the task. The end sem exams at are over. Sneh is the class teacher of class X/C. She now has the hectic task of preparing the report card of her class. Since Sneh is a computer teacher she tried to infuse some fun into his task. Sneh knew that there are n students in class and they had k sub...
Step 1: The problem asks us to determine the worst performer in a group of subjects, considering priority-wise subjects. We need to loop through the queries to determine the worst performer based on the given subjects and the marks obtained by the students. We can start by reading the input values and storing them in...
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279125b9951f5d2e3388108f35f43e343b77d1ec9f2dd24fb0fff274c5b383ad
Coding
codecontest
Write Python code to solve the task. Fangy the little walrus, as all the modern walruses, loves to communicate via text messaging. One day he faced the following problem: When he sends large texts, they are split into parts each containing n characters (which is the size of one text message). Thus, whole sentences and ...
Step 1: To solve this problem, we need to understand the concept of splitting a large text into minimal messages and the rules to follow when splitting the text. Step 2: We also need to consider the constraints such as the size of one message and the rules for splitting, such as not splitting a sentence into multipl...
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Coding
codecontest
Write Python code to solve the task. Fangy the little walrus, as all the modern walruses, loves to communicate via text messaging. One day he faced the following problem: When he sends large texts, they are split into parts each containing n characters (which is the size of one text message). Thus, whole sentences and ...
Step 1: To solve this problem, we need to split the text into minimal messages such that no sentence is broken into pieces when it is sent, and the number of text messages is minimal. Step 2: We should begin by understanding the format of the input text and the rules for splitting it into minimal messages. Step 3: W...
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e6cd627d5b17f7272c01b03e9071276dbf5178dd52a9f4faa74dc2747fb2e40d
Coding
codecontest
Write Python code to solve the task. All our characters have hobbies. The same is true for Fedor. He enjoys shopping in the neighboring supermarket. The goods in the supermarket have unique integer ids. Also, for every integer there is a product with id equal to this integer. Fedor has n discount coupons, the i-th of...
Step 1: This problem requires selecting a subset of k coupons such that the number of products with which all the selected coupons can be used is maximized. Step 2: We need to determine an approach to select the subset of coupons that will result in the maximum number of applicable products. Step 3: We can likely us...
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b4a7ba2b70fec4600104dabc5d41b429091824da3052aa91b2b960333092904c
Coding
codecontest
Write Python code to solve the task. All our characters have hobbies. The same is true for Fedor. He enjoys shopping in the neighboring supermarket. The goods in the supermarket have unique integer ids. Also, for every integer there is a product with id equal to this integer. Fedor has n discount coupons, the i-th of...
Step 1: To solve this problem, we need to choose the k coupons in such a way that the number of products x that all coupons can be used with this product x is as large as possible. Step 2: We can start by sorting the coupons based on their left interval and then use a heap to find the best intervals. Step 3: We will...
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Coding
codecontest
Write Python code to solve the task. Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions: * The largest among the values in the i-th row (1 \leq i \leq N) ...
Step 1: The problem requires finding the number of ways to write a given number of rows and columns without duplicates and under specific conditions. Step 2: The solution uses a method to calculate the number of ways based on the given conditions by checking different conditions and modifying a variable 'w' and an ar...
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7fd9a111978c891531c6bde1a18e4ffa1eaabfda8c1d568d6fc0a90db4d8d390
Coding
codecontest
Write Python code to solve the task. Consider writing each of the integers from 1 to N \times M in a grid with N rows and M columns, without duplicates. Takahashi thinks it is not fun enough, and he will write the numbers under the following conditions: * The largest among the values in the i-th row (1 \leq i \leq N) ...
Step 1: The problem requires finding the number of ways to write the numbers under certain conditions. The conditions state that the largest among the values in each row and each column need to satisfy specific constraints. Step 2: The solution involves checking the given input with applied conditions and counting th...
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7fd9a111978c891531c6bde1a18e4ffa1eaabfda8c1d568d6fc0a90db4d8d390
Coding
codecontest
Write Python code to solve the task. Little C loves number «3» very much. He loves all things about it. Now he is playing a game on a chessboard of size n × m. The cell in the x-th row and in the y-th column is called (x,y). Initially, The chessboard is empty. Each time, he places two chessmen on two different empty c...
Step 1: To solve this problem, we need to determine the maximum number of chessmen that can be placed on the chessboard, given the size of the board. Step 2: We should focus on finding a pattern that allows us to calculate the maximum number of chessmen that can be placed. This pattern should depend on the size of th...
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d684186354a12fc37f02496eb2d9af8ebd164bec32542d29484c250e2d2171c7
Coding
codecontest
Write Python code to solve the task. Little C loves number «3» very much. He loves all things about it. Now he is playing a game on a chessboard of size n × m. The cell in the x-th row and in the y-th column is called (x,y). Initially, The chessboard is empty. Each time, he places two chessmen on two different empty c...
Step 1: To solve this problem, we need to consider the possible positions of the chessmen on the chessboard and identify the maximum number of chessmen that Little C can place with a Manhattan distance of exactly 3 between them. Step 2: The check function returns 1 if the integer input is even and 0 otherwise. Step 3...
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d684186354a12fc37f02496eb2d9af8ebd164bec32542d29484c250e2d2171c7
Coding
codecontest
Write Python code to solve the task. You are given a string s consisting only of lowercase Latin letters. You can rearrange all letters of this string as you wish. Your task is to obtain a good string by rearranging the letters of the given string or report that it is impossible to do it. Let's call a string good if ...
Step 1: To solve this problem, we need to determine if a given string is a palindrome and rearrange the letters to obtain a "good" string if possible. Step 2: First, we need to parse the input to get the number of queries and the strings for each query. Step 3: Then, for each string, we need to check if it's a palin...
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bb6023c2e9aa2361d98599aa9251cc7e1ba8913497c5b37c47ead415056da7cd
Coding
codecontest
Write Python code to solve the task. You are given a string s consisting only of lowercase Latin letters. You can rearrange all letters of this string as you wish. Your task is to obtain a good string by rearranging the letters of the given string or report that it is impossible to do it. Let's call a string good if ...
Step 1: To solve this problem, we need to determine whether a given string can be rearranged to form a non-palindromic string. Step 2: We can start by sorting the characters of the string to check if it's a palindrome. If all characters are the same, it's impossible to rearrange the string to form a non-palindromic s...
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bb6023c2e9aa2361d98599aa9251cc7e1ba8913497c5b37c47ead415056da7cd
Coding
codecontest
Write Python code to solve the task. Polycarpus has a hobby — he develops an unusual social network. His work is almost completed, and there is only one more module to implement — the module which determines friends. Oh yes, in this social network one won't have to add friends manually! Pairs of friends are deduced in ...
Step 1: To solve this problem, we need to iterate through the given messages log and check if there are pairs of users who will be considered friends based on the given condition. Step 2: We can process the input to extract the number of messages and the time difference, and then iterate through each message to deter...
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d2774658b87d8b7552683bde34fe57be8bfa7e74766c930c6c706748e19a2f05
Coding
codecontest
Write Python code to solve the task. Polycarpus has a hobby — he develops an unusual social network. His work is almost completed, and there is only one more module to implement — the module which determines friends. Oh yes, in this social network one won't have to add friends manually! Pairs of friends are deduced in ...
Step 1: The goal of this problem is to determine pairs of users who are considered friends based on the message log and the time difference d. Step 2: We need to iterate over the message log while keeping track of user interactions to identify pairs of friends. Step 3: We'll need to store the messages log and analyz...
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d2774658b87d8b7552683bde34fe57be8bfa7e74766c930c6c706748e19a2f05
Coding
codecontest
Write Python code to solve the task. Recently, Valery have come across an entirely new programming language. Most of all the language attracted him with template functions and procedures. Let us remind you that templates are tools of a language, designed to encode generic algorithms, without reference to some parameter...
Step 1: The problem is asking to count the number of procedures that are suitable for a given call. To do this, we need to parse the given input to obtain template procedures, used variables, and procedure calls, and then compare them to find matches based on the conditions provided in the problem statement. Step 2: ...
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f15b2e360c0a066a8676ddf28be27481c7af0616efdf2a54108f3401f133a6ad
Coding
codecontest
Write Python code to solve the task. Recently, Valery have come across an entirely new programming language. Most of all the language attracted him with template functions and procedures. Let us remind you that templates are tools of a language, designed to encode generic algorithms, without reference to some parameter...
Step 1: The problem requires building a program to analyze a set of template procedures and then determine the number of suitable template procedures for given procedure calls. We need to read the input details about the template procedures, variables, and procedure calls, then compare the parameters to see if the tem...
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f15b2e360c0a066a8676ddf28be27481c7af0616efdf2a54108f3401f133a6ad
Coding
codecontest
Write Python code to solve the task. Carl is a beginner magician. He has a blue, b violet and c orange magic spheres. In one move he can transform two spheres of the same color into one sphere of any other color. To make a spell that has never been seen before, he needs at least x blue, y violet and z orange spheres. C...
Step 1: The problem deals with determining if the magician can obtain the required numbers of spheres using a sequence of manipulations that involve transforming two spheres of the same color into one sphere of any other color. Step 2: The solution needs to account for the possibility of converting spheres of the sam...
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f7acf30a2fe93e20a4b04455c09947cc55d9522f554abcfea341d885d993ca21
Coding
codecontest
Write Python code to solve the task. Carl is a beginner magician. He has a blue, b violet and c orange magic spheres. In one move he can transform two spheres of the same color into one sphere of any other color. To make a spell that has never been seen before, he needs at least x blue, y violet and z orange spheres. C...
Step 1: The problem involves determining if it is possible to obtain a certain number of magic spheres of different colors by combining the initial spheres. Step 2: We need to find the difference between the available and required spheres for each color. If the total number of spheres that can be removed is greater t...
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f7acf30a2fe93e20a4b04455c09947cc55d9522f554abcfea341d885d993ca21
Coding
codecontest
Write Python code to solve the task. Two bears are playing tic-tac-toe via mail. It's boring for them to play usual tic-tac-toe game, so they are a playing modified version of this game. Here are its rules. The game is played on the following field. <image> Players are making moves by turns. At first move a player c...
Step 1: The main task here is to determine the next possible moves for the current player based on the last move made. Step 2: We need to identify the field where the last move was made and find available empty cells for the current player's next move. Step 3: If there are no available empty cells in the required fi...
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99236da0ebfe40976bdf581a1c8a66876db11f80195c7b03b55ccf48fdd75b16
Coding
codecontest
Write Python code to solve the task. Two bears are playing tic-tac-toe via mail. It's boring for them to play usual tic-tac-toe game, so they are a playing modified version of this game. Here are its rules. The game is played on the following field. <image> Players are making moves by turns. At first move a player c...
Step 1: The goal is to simulate the tic-tac-toe game based on the current state and coordinates provided. Step 2: We need to determine all allowed moves for the current player, based on the last move. Step 3: We can represent the game state and the allowed moves as a 2D array. The coordinates of the last move can he...
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99236da0ebfe40976bdf581a1c8a66876db11f80195c7b03b55ccf48fdd75b16
Coding
codecontest
Write Python code to solve the task. In India IPL is on full swing now. Fans of cricket love watching the game and seeing ball by ball with having Snacks. Yummy, crispy snacks. Ankit and his friends are one of them. One night, while watching his Favourite team's Match he is eating Snacks. His team is leading the game ...
Step 1: To solve this problem, we need to find the snack with the highest probability of being faulty based on the inputs provided. Step 2: We can start by reading the input from the user, which includes the number of test cases, the number of snacks and their fault probabilities, and overall fault probabilities. Ste...
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