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Coding
codecontest
Write Python code to solve the task. A wise king declared a new calendar. "Tomorrow shall be the first day of the calendar, that is, the day 1 of the month 1 of the year 1. Each year consists of 10 months, from month 1 through month 10, and starts from a big month. A common year shall start with a big month, followed b...
Step 1: We need to first understand and analyze the given royal calendar system. Analyzing the function 'da' is crucial to understanding how to calculate the number of days from a person's birthdate to the millennium day. We can use the 'da' function to calculate the number of days from a birthdate to the millennium...
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1e0091e14630474c7ccff500485eda17fc52fac578d70a8863cffd0cf218a077
Coding
codecontest
Write Python code to solve the task. A wise king declared a new calendar. "Tomorrow shall be the first day of the calendar, that is, the day 1 of the month 1 of the year 1. Each year consists of 10 months, from month 1 through month 10, and starts from a big month. A common year shall start with a big month, followed b...
Step 1: We are given the birthdate of a person in the king's calendar and need to calculate the number of days from the birthdate to the millennium day. Step 2: To solve this problem, we need to consider different cases based on the position of the birthdate in the calendar. Step 3: We then need to perform calculati...
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1e0091e14630474c7ccff500485eda17fc52fac578d70a8863cffd0cf218a077
Coding
codecontest
Write Python code to solve the task. A wise king declared a new calendar. "Tomorrow shall be the first day of the calendar, that is, the day 1 of the month 1 of the year 1. Each year consists of 10 months, from month 1 through month 10, and starts from a big month. A common year shall start with a big month, followed b...
Step 1: The problem requires a program to calculate the number of days since a person's birth date to the millennium day based on the king's calendar. Step 2: The king's calendar consists of ten months, with big months having 20 days and small months having 19 days. Each year has 10 months, except for years divisible...
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1e0091e14630474c7ccff500485eda17fc52fac578d70a8863cffd0cf218a077
Coding
codecontest
Write Python code to solve the task. Once upon a time Petya and Gena gathered after another programming competition and decided to play some game. As they consider most modern games to be boring, they always try to invent their own games. They have only stickers and markers, but that won't stop them. The game they cam...
Step 1: To solve this problem, we need to simulate the game rules and find the optimal moves for each player to maximize the difference in scores. Step 2: We can use dynamic programming to keep track of the maximum possible score difference for each remaining subset of stickers on the wall. Step 3: We will iterate t...
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Coding
codecontest
Write Python code to solve the task. Once upon a time Petya and Gena gathered after another programming competition and decided to play some game. As they consider most modern games to be boring, they always try to invent their own games. They have only stickers and markers, but that won't stop them. The game they cam...
Step 1: The problem describes a game where two players take turns removing stickers from a wall and adding new stickers with the sum of the removed stickers. The goal is to maximize the difference between the player's scores at the end of the game. Step 2: We can achieve the optimal solution by using dynamic programm...
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414cb1e491da5bf344190f28971b2af43c011bcce30f6533392b8af5bae1df63
Coding
codecontest
Write Python code to solve the task. Once upon a time Petya and Gena gathered after another programming competition and decided to play some game. As they consider most modern games to be boring, they always try to invent their own games. They have only stickers and markers, but that won't stop them. The game they cam...
Step 1: This problem requires implementing a dynamic programming algorithm to determine optimal moves for both players in the game. Step 2: We need to calculate the difference between Petya's and Gena's scores at the end of the game. The strategy is to maximize the difference by picking the appropriate stickers to m...
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414cb1e491da5bf344190f28971b2af43c011bcce30f6533392b8af5bae1df63
Coding
codecontest
Write Python code to solve the task. Once upon a time Petya and Gena gathered after another programming competition and decided to play some game. As they consider most modern games to be boring, they always try to invent their own games. They have only stickers and markers, but that won't stop them. The game they cam...
Step 1: The problem involves a game with a series of stickers on the wall, and two players take alternate turns removing stickers and updating the sum value written on a new sticker obtained from the sum of the removed stickers. The goal is to determine the result of the game after both players play optimally. Step 2:...
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414cb1e491da5bf344190f28971b2af43c011bcce30f6533392b8af5bae1df63
Coding
codecontest
Write Python code to solve the task. Gopal is climbing the stairs. He can jump 1 or 2 or 3 steps at a time. He wants to climb N steps. In how many ways can he reach the Nth step? As the answer can be too large Output it modulo 10^9+7. Input: First line of the input contains an integer T denoting the number of test cas...
Step 1: To solve this problem, we need to find the number of ways to reach the Nth step using jumps of 1, 2, or 3 steps. Step 2: We can use dynamic programming to calculate the number of ways to reach each step and store the results in an array. Step 3: Then we can use the precalculated results to find the number of...
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7ba998a3cab4eb8c757528c8bb657292219b68b2a07c498ab489578e5ce21fd8
Coding
codecontest
Write Python code to solve the task. Gopal is climbing the stairs. He can jump 1 or 2 or 3 steps at a time. He wants to climb N steps. In how many ways can he reach the Nth step? As the answer can be too large Output it modulo 10^9+7. Input: First line of the input contains an integer T denoting the number of test cas...
Step 1: We can solve this problem using dynamic programming to calculate the number of ways to reach the Nth step by considering the number of ways to reach the previous three steps. Step 2: We need to compute the answer modulo 10^9+7, so we should store the number of ways modulo 10^9+7 at each step of the process. S...
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7ba998a3cab4eb8c757528c8bb657292219b68b2a07c498ab489578e5ce21fd8
Coding
codecontest
Write Python code to solve the task. Gopal is climbing the stairs. He can jump 1 or 2 or 3 steps at a time. He wants to climb N steps. In how many ways can he reach the Nth step? As the answer can be too large Output it modulo 10^9+7. Input: First line of the input contains an integer T denoting the number of test cas...
Step 1: To solve this problem, we need to find the number of ways Gopal can reach the Nth step of the stairs by jumping 1, 2, or 3 steps at a time. Step 2: We can use a dynamic programming approach to store the number of ways to reach each step and then use it to calculate the number of ways to reach the Nth step. St...
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7ba998a3cab4eb8c757528c8bb657292219b68b2a07c498ab489578e5ce21fd8
Coding
codecontest
Write Python code to solve the task. Gopal is climbing the stairs. He can jump 1 or 2 or 3 steps at a time. He wants to climb N steps. In how many ways can he reach the Nth step? As the answer can be too large Output it modulo 10^9+7. Input: First line of the input contains an integer T denoting the number of test cas...
Step 1: To solve this problem, we need to find the number of ways to reach the Nth step by taking 1, 2, or 3 steps at a time. Step 2: We can use dynamic programming to store the number of ways to reach each step and then use these values to calculate the number of ways to reach the Nth step. Step 3: We should also a...
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7ba998a3cab4eb8c757528c8bb657292219b68b2a07c498ab489578e5ce21fd8
Coding
codecontest
Write Python code to solve the task. Sumit had borrowed money from many of his batch mates and today he has decided to pay them because he has got lottery today. The amount of lottery is very large. So to count the money he decided to write the amount in Indian system first. In the Indian system the rightmost comma ...
Step 1: The given problem involves reformatting the amount in Indian system such that the rightmost comma is placed after three rightmost digits, and then after every two digits from the right. Step 2: We need to implement the logic for formatting the amount by placing commas at the correct positions. Step 3: We wil...
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2e9ce04cb32ec0a4940799dbca8f475dcdedc843da6db6b1a11be63edbacef39
Coding
codecontest
Write Python code to solve the task. Sumit had borrowed money from many of his batch mates and today he has decided to pay them because he has got lottery today. The amount of lottery is very large. So to count the money he decided to write the amount in Indian system first. In the Indian system the rightmost comma ...
Step 1: The given code seems to be a complex implementation to add commas to the amount in the Indian way of writing. Step 2: We can simplify this by following a simpler and more structured approach. Step 3: We can iterate through the string from right to left and insert commas after every three and two digits respe...
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2e9ce04cb32ec0a4940799dbca8f475dcdedc843da6db6b1a11be63edbacef39
Coding
codecontest
Write Python code to solve the task. Sumit had borrowed money from many of his batch mates and today he has decided to pay them because he has got lottery today. The amount of lottery is very large. So to count the money he decided to write the amount in Indian system first. In the Indian system the rightmost comma ...
Step 1: We need to write a program that takes an input amount and formats it in the Indian system of writing, with commas placed after three rightmost digits and then after every two digits. Step 2: We can do this by iterating through the input string and adding commas at the appropriate positions according to the In...
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2e9ce04cb32ec0a4940799dbca8f475dcdedc843da6db6b1a11be63edbacef39
Coding
codecontest
Write Python code to solve the task. Sumit had borrowed money from many of his batch mates and today he has decided to pay them because he has got lottery today. The amount of lottery is very large. So to count the money he decided to write the amount in Indian system first. In the Indian system the rightmost comma ...
Step 1: To solve this problem, we need to write code that takes an input amount and formats it according to the Indian system of writing with commas. Step 2: We should check the length of the amount and conditionally place commas based on the length. Step 3: The rightmost comma should be placed after the three right...
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2e9ce04cb32ec0a4940799dbca8f475dcdedc843da6db6b1a11be63edbacef39
Coding
codecontest
Write Python code to solve the task. An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as p...
Step 1: To solve this problem, we need to understand the constraints of the game and how the number of children changes in each round. Step 2: We can create a loop to iterate through the rounds and update the number of children in the game based on the group sizes. Step 3: We also need to consider the smallest and l...
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0a1e7a4196a113300584f6d76ae406a58512fff8c6fd52a7b22ddee15c6e615c
Coding
codecontest
Write Python code to solve the task. An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as p...
Step 1: To solve this problem, we need to simulate the game rounds and determine the smallest and largest possible number of children in the game before the start. Step 2: We can iterate through the given values of A_i and update the possible range of children after each round. Step 3: We also need to check for any ...
ee91dc87179cbedeb01cbb1d82c14268ed959ea8526161210425e5348727e981_1_1
0a1e7a4196a113300584f6d76ae406a58512fff8c6fd52a7b22ddee15c6e615c
Coding
codecontest
Write Python code to solve the task. An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as p...
Step 1: To solve this problem, we need to consider the constraints given and the rules of the game to determine the possible range of values for N. Step 2: First, we'll read the input values, K and A_1, A_2, ..., A_K. Then we'll calculate the smallest and largest possible value of N based on the rules of the game. St...
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0a1e7a4196a113300584f6d76ae406a58512fff8c6fd52a7b22ddee15c6e615c
Coding
codecontest
Write Python code to solve the task. An adult game master and N children are playing a game on an ice rink. The game consists of K rounds. In the i-th round, the game master announces: * Form groups consisting of A_i children each! Then the children who are still in the game form as many groups of A_i children as p...
Step 1: To solve this problem, we need to calculate the smallest and largest possible numbers of children in the game before the start. Step 2: We need to consider the constraints and rules of the game, such as the number of rounds and the groupings of children. Step 3: The smallest possible value of N will be obtai...
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0a1e7a4196a113300584f6d76ae406a58512fff8c6fd52a7b22ddee15c6e615c
Coding
codecontest
Write Python code to solve the task. Andrewid the Android is a galaxy-famous detective. He is now investigating the case of vandalism at the exhibition of contemporary art. The main exhibit is a construction of n matryoshka dolls that can be nested one into another. The matryoshka dolls are numbered from 1 to n. A mat...
Step 1: The objective is to reassemble the matryoshka dolls into a single chain in the minimum time possible. Step 2: The input specifies the number of matryoshka dolls, the number of chains in the initial configuration, and the description of the chains. Step 3: To calculate the minimum time needed, we should itera...
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659f8f74a9936d3bf3de20ec97afd2abf7470f132f58740f0a0ceb05b35b7a06
Coding
codecontest
Write Python code to solve the task. Andrewid the Android is a galaxy-famous detective. He is now investigating the case of vandalism at the exhibition of contemporary art. The main exhibit is a construction of n matryoshka dolls that can be nested one into another. The matryoshka dolls are numbered from 1 to n. A mat...
Step 1: This problem involves rearranging a series of nested matryoshka dolls to form a single large chain. Step 2: To solve this problem, we need to iterate through the given chains and calculate the number of seconds required to create a single large chain. Step 3: We should carefully consider the structure of the...
4bdd43168d7458bd43e95b70600e3b909a50ab636e7264d79d49deb296d876e8_1_1
659f8f74a9936d3bf3de20ec97afd2abf7470f132f58740f0a0ceb05b35b7a06
Coding
codecontest
Write Python code to solve the task. Andrewid the Android is a galaxy-famous detective. He is now investigating the case of vandalism at the exhibition of contemporary art. The main exhibit is a construction of n matryoshka dolls that can be nested one into another. The matryoshka dolls are numbered from 1 to n. A mat...
Step 1: To solve this problem, we need to determine the minimum number of seconds needed to assemble one large chain from the initial configuration. Step 2: We can use a while loop to iterate through the input descriptions of the chains and count the time needed to perform specific operations. Step 3: We also need t...
60464ca7d6617f4ca25ccc32ce673963227033dc503437efd1c9a699e473fcf8_1_1
659f8f74a9936d3bf3de20ec97afd2abf7470f132f58740f0a0ceb05b35b7a06
Coding
codecontest
Write Python code to solve the task. Andrewid the Android is a galaxy-famous detective. He is now investigating the case of vandalism at the exhibition of contemporary art. The main exhibit is a construction of n matryoshka dolls that can be nested one into another. The matryoshka dolls are numbered from 1 to n. A mat...
Step 1: The problem asks to find the minimum number of seconds needed to assemble one large chain from the initial configuration. Step 2: We need to compute the number of operations required to assemble one large chain from the given chains of matryoshka dolls. Step 3: We'll iterate over each of the k chains and cou...
7f4d5d045f5da976a1fd34ecf2667a78ae386e31ad72105d9e7baaa777261964_1_1
659f8f74a9936d3bf3de20ec97afd2abf7470f132f58740f0a0ceb05b35b7a06
Coding
codecontest
Write Python code to solve the task. Just to remind, girls in Arpa's land are really nice. Mehrdad wants to invite some Hoses to the palace for a dancing party. Each Hos has some weight wi and some beauty bi. Also each Hos may have some friends. Hoses are divided in some friendship groups. Two Hoses x and y are in the...
Step 1: This problem involves making selections from different friendship groups of Hoses to maximize the total beauty while keeping the total weight below the given limit. Step 2: We can use dynamic programming to solve this problem, where each state of the DP stores the maximum possible total beauty with a certain ...
643e65073a88ee6dd7b4019449b940d43eefb1697ca3a6adfc782ef92ab1048a_1_1
daa82351f353d6253b619357ca121cce42df3cd834aa8f975a846f17ecf8daee
Coding
codecontest
Write Python code to solve the task. Just to remind, girls in Arpa's land are really nice. Mehrdad wants to invite some Hoses to the palace for a dancing party. Each Hos has some weight wi and some beauty bi. Also each Hos may have some friends. Hoses are divided in some friendship groups. Two Hoses x and y are in the...
Step 1: The problem states that Mehrdad wants to invite some Hoses to the palace for a dancing party, and Hoses are divided into friendship groups. Step 2: From the given friendships, we can identify the groups and choose all Hoses from the same group or at most one from each friendship group to avoid hurting anyone....
241cc5c84c6b5f4a5748ea6ca3e237480684a0e0f084846abeabbebc6bb60685_1_1
daa82351f353d6253b619357ca121cce42df3cd834aa8f975a846f17ecf8daee
Coding
codecontest
Write Python code to solve the task. Just to remind, girls in Arpa's land are really nice. Mehrdad wants to invite some Hoses to the palace for a dancing party. Each Hos has some weight wi and some beauty bi. Also each Hos may have some friends. Hoses are divided in some friendship groups. Two Hoses x and y are in the...
Step 1: This problem requires finding a solution to invite a group of Hoses to an event, within specific weight and friendship constraints. Step 2: The code first parses the input to get the number of Hoses, friendship connections, and maximum total weight. Step 3: Then, it iterates through the friendship pairs and ...
3f7efcd4718a6b9cffcbb6a8837c352c5644d76f3df7433c21d6d94c4cbf0e67_1_1
daa82351f353d6253b619357ca121cce42df3cd834aa8f975a846f17ecf8daee
Coding
codecontest
Write Python code to solve the task. Just to remind, girls in Arpa's land are really nice. Mehrdad wants to invite some Hoses to the palace for a dancing party. Each Hos has some weight wi and some beauty bi. Also each Hos may have some friends. Hoses are divided in some friendship groups. Two Hoses x and y are in the...
Step 1: The problem requires finding the maximum possible total beauty of Hoses Mehrdad can invite. We can start by parsing the input to understand the number of Hoses, weight, beauty, friendship connections, and the maximum weight limit. Step 2: We need to create a function to parse the input and gather information ...
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daa82351f353d6253b619357ca121cce42df3cd834aa8f975a846f17ecf8daee
Coding
codecontest
Write Python code to solve the task. Throughout Igor K.'s life he has had many situations worthy of attention. We remember the story with the virus, the story of his mathematical career and of course, his famous programming achievements. However, one does not always adopt new hobbies, one can quit something as well. T...
Step 1: We can approach this problem by dividing the total number of folders into rows and check the position of the first and last folder to be selected. Step 2: Depending on the position and width of the window, we can select the folders with minimum frame selections. Step 3: It seems that the given code should wo...
fbacf7cd392a5b68d298bbb94c1b601960a2ca7285a3d854d1fe4943cf0126a4_1_1
6934df7de9f9dc05f7e0434aa492f2da9aac004dc84c6f6c960d13f9809b115b
Coding
codecontest
Write Python code to solve the task. Throughout Igor K.'s life he has had many situations worthy of attention. We remember the story with the virus, the story of his mathematical career and of course, his famous programming achievements. However, one does not always adopt new hobbies, one can quit something as well. T...
Step 1: We want to determine the minimum number of times Igor K. will have to select the folders using frames to select only the folders with numbers from a to b. Step 2: We can start by extracting the input values and considering different cases for the folders that need to be deleted. Step 3: If the folders to be ...
81b0679a584e52e4f79fc89e663a45ab1a6b9c0cc310d431c60bbbe9494cd2c2_1_1
6934df7de9f9dc05f7e0434aa492f2da9aac004dc84c6f6c960d13f9809b115b
Coding
codecontest
Write Python code to solve the task. Throughout Igor K.'s life he has had many situations worthy of attention. We remember the story with the virus, the story of his mathematical career and of course, his famous programming achievements. However, one does not always adopt new hobbies, one can quit something as well. T...
Step 1: The problem requires finding the minimum number of times Igor K. will have to select the folders using frames to select only the folders with numbers from a to b. Step 2: We need to minimize the number of frame selections based on the indexes of the first and last folders that need to be deleted. Step 3: We ...
317fb18a861b0ccad66c0a10648dba72c278986f4c2640d6de6aee2de45b2b7d_1_1
6934df7de9f9dc05f7e0434aa492f2da9aac004dc84c6f6c960d13f9809b115b
Coding
codecontest
Write Python code to solve the task. Throughout Igor K.'s life he has had many situations worthy of attention. We remember the story with the virus, the story of his mathematical career and of course, his famous programming achievements. However, one does not always adopt new hobbies, one can quit something as well. T...
Step 1: This problem requires finding the minimum number of times Igor K. will have to select the folders within a range using frames. Step 2: We can approach the problem by considering different scenarios for selecting the range of folders and identifying the minimum number of frame selections. Step 3: We should co...
ba45b1d7757dcb976a8e529f8a9e13280faaf85951f7a2a3e4f130e136af07ab_1_1
6934df7de9f9dc05f7e0434aa492f2da9aac004dc84c6f6c960d13f9809b115b
Coding
codecontest
Write Python code to solve the task. Vasya has got three integers n, m and k. He'd like to find three integer points (x_1, y_1), (x_2, y_2), (x_3, y_3), such that 0 ≤ x_1, x_2, x_3 ≤ n, 0 ≤ y_1, y_2, y_3 ≤ m and the area of the triangle formed by these points is equal to nm/k. Help Vasya! Find such points (if it's pos...
Step 1: The problem requires us to find three points (x_1, y_1), (x_2, y_2), and (x_3, y_3) such that the area of the triangle formed by these points is equal to nm/k. Step 2: First, we need to check if it's possible to find such points. If the area cannot be calculated, we should print "NO." Step 3: We can solve th...
94fc06748a3a02effdbf838e1f7c9a81107df81dfc657d92c955b3a85faa69b9_1_1
1021fee5d54d7aa016e041cfce5dd833d2247ff0ea3a93d9b83411d786b62272
Coding
codecontest
Write Python code to solve the task. Vasya has got three integers n, m and k. He'd like to find three integer points (x_1, y_1), (x_2, y_2), (x_3, y_3), such that 0 ≤ x_1, x_2, x_3 ≤ n, 0 ≤ y_1, y_2, y_3 ≤ m and the area of the triangle formed by these points is equal to nm/k. Help Vasya! Find such points (if it's pos...
Step 1: To solve this problem, we need to find three integer points that satisfy the given conditions and constraints. Step 2: We can start by defining a function to calculate the greatest common divisor (GCD) of two integers, which will be useful in calculating the coordinates of the points. Step 3: We also need to...
c32fc8dc4bbdc23070017912488c49622f12c2a186668d3b4aae8e7d0e50d6e2_1_1
1021fee5d54d7aa016e041cfce5dd833d2247ff0ea3a93d9b83411d786b62272
Coding
codecontest
Write Python code to solve the task. Vasya has got three integers n, m and k. He'd like to find three integer points (x_1, y_1), (x_2, y_2), (x_3, y_3), such that 0 ≤ x_1, x_2, x_3 ≤ n, 0 ≤ y_1, y_2, y_3 ≤ m and the area of the triangle formed by these points is equal to nm/k. Help Vasya! Find such points (if it's pos...
Step 1: To solve this problem, we need to find three integer points (x_1, y_1), (x_2, y_2), (x_3, y_3) such that the area of the triangle formed by these points is equal to nm/k. Step 2: We can do this by calculating the greatest common divisor (gcd) of 2*n, k and m, k. This will help us determine the coordinates of ...
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1021fee5d54d7aa016e041cfce5dd833d2247ff0ea3a93d9b83411d786b62272
Coding
codecontest
Write Python code to solve the task. Vasya has got three integers n, m and k. He'd like to find three integer points (x_1, y_1), (x_2, y_2), (x_3, y_3), such that 0 ≤ x_1, x_2, x_3 ≤ n, 0 ≤ y_1, y_2, y_3 ≤ m and the area of the triangle formed by these points is equal to nm/k. Help Vasya! Find such points (if it's pos...
Step 1: The problem requires finding three integer points such that the area of the triangle formed by these points is equal to nm/k. Step 2: To calculate the area of the triangle formed by the three points, we can use the formula for the area of a triangle using coordinates. Step 3: We can try to derive the coordin...
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1021fee5d54d7aa016e041cfce5dd833d2247ff0ea3a93d9b83411d786b62272
Coding
codecontest
Write Python code to solve the task. When Valera was playing football on a stadium, it suddenly began to rain. Valera hid in the corridor under the grandstand not to get wet. However, the desire to play was so great that he decided to train his hitting the ball right in this corridor. Valera went back far enough, put t...
Step 1: To solve this problem, we need to compute the x and z coordinates of the spot where the wet ball hits the exit door. Step 2: We are given the dimensions of the corridor (a and b), the distance from the door where the ball is placed (m), and the speed of the ball after the hit (vx, vy, vz). Step 3: The ball w...
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2ec3c5d7665e22ae8da6b40f494797b0ccd5989efbd8310c0d1d1ea018451691
Coding
codecontest
Write Python code to solve the task. When Valera was playing football on a stadium, it suddenly began to rain. Valera hid in the corridor under the grandstand not to get wet. However, the desire to play was so great that he decided to train his hitting the ball right in this corridor. Valera went back far enough, put t...
Step 1: To solve this problem, we need to calculate the coordinates of the spot where the ball hits the exit door. Step 2: We can calculate the time it takes for the ball to hit the door and use that time to determine the x and z coordinates of the spot. Step 3: Then we need to adjust the coordinates based on the po...
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2ec3c5d7665e22ae8da6b40f494797b0ccd5989efbd8310c0d1d1ea018451691
Coding
codecontest
Write Python code to solve the task. When Valera was playing football on a stadium, it suddenly began to rain. Valera hid in the corridor under the grandstand not to get wet. However, the desire to play was so great that he decided to train his hitting the ball right in this corridor. Valera went back far enough, put t...
Step 1: The problem describes how Valera hits a ball in a corridor and asks for the coordinates where the ball will hit the exit door. Step 2: We need to calculate the coordinates (x0, z0) based on the given input parameters by simulating the ball's path until it hits the exit door. Step 3: The ball will bounce off ...
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2ec3c5d7665e22ae8da6b40f494797b0ccd5989efbd8310c0d1d1ea018451691
Coding
codecontest
Write Python code to solve the task. When Valera was playing football on a stadium, it suddenly began to rain. Valera hid in the corridor under the grandstand not to get wet. However, the desire to play was so great that he decided to train his hitting the ball right in this corridor. Valera went back far enough, put t...
Step 1: Before tackling the provided problem, we need to understand the rules of reflection to determine the ball's final coordinates upon hitting the door. Step 2: Also, we need to consider the physical model's ideal nature and understand the input requirements for the problem. Step 3: We should calculate the coord...
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2ec3c5d7665e22ae8da6b40f494797b0ccd5989efbd8310c0d1d1ea018451691
Coding
codecontest
Write Python code to solve the task. Connected undirected graph without cycles is called a tree. Trees is a class of graphs which is interesting not only for people, but for ants too. An ant stands at the root of some tree. He sees that there are n vertexes in the tree, and they are connected by n - 1 edges so that th...
Step 1: The problem requires us to find a route for an ant in a given tree to visit every vertex and return to the root, passing every edge twice, and visit the leaves in a specific order. Step 2: To solve this, we can use a depth-first search (DFS) algorithm to traverse the tree and generate the route for the ant. S...
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a1bd8c73dbaea4a9315a8a3ac2c2e1d0687aa559208f6ab4230edf3895da4baf
Coding
codecontest
Write Python code to solve the task. Connected undirected graph without cycles is called a tree. Trees is a class of graphs which is interesting not only for people, but for ants too. An ant stands at the root of some tree. He sees that there are n vertexes in the tree, and they are connected by n - 1 edges so that th...
Step 1: The goal is to find a possible route for an ant to visit every vertex in the tree and return to the root, visiting the leaves in a specific order. Step 2: This can be accomplished by using depth-first search (DFS) to traverse the tree and find the route. Step 3: The first DFS (dfs1) initializes an index to t...
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a1bd8c73dbaea4a9315a8a3ac2c2e1d0687aa559208f6ab4230edf3895da4baf
Coding
codecontest
Write Python code to solve the task. Connected undirected graph without cycles is called a tree. Trees is a class of graphs which is interesting not only for people, but for ants too. An ant stands at the root of some tree. He sees that there are n vertexes in the tree, and they are connected by n - 1 edges so that th...
Step 1: The problem requires traversing a tree and visiting the leaves in a specific order. Step 2: We can use a depth-first search (DFS) algorithm to traverse the tree and visit the leaves according to the given order. Step 3: We need to keep track of the path taken by the ant to ensure that it visits every vertex ...
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a1bd8c73dbaea4a9315a8a3ac2c2e1d0687aa559208f6ab4230edf3895da4baf
Coding
codecontest
Write Python code to solve the task. Connected undirected graph without cycles is called a tree. Trees is a class of graphs which is interesting not only for people, but for ants too. An ant stands at the root of some tree. He sees that there are n vertexes in the tree, and they are connected by n - 1 edges so that th...
Step 1: The problem requires finding a possible route for an ant to visit every vertex in a tree and return to the root, passing every edge twice. In addition, the ant wants to visit the leaves in a specific order. Step 2: The solution involves using depth-first search (DFS) to traverse the tree and find a possible r...
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a1bd8c73dbaea4a9315a8a3ac2c2e1d0687aa559208f6ab4230edf3895da4baf
Coding
codecontest
Write Python code to solve the task. Andrey needs one more problem to conduct a programming contest. He has n friends who are always willing to help. He can ask some of them to come up with a contest problem. Andrey knows one value for each of his fiends — the probability that this friend will come up with a problem if...
Step 1: The strategy here is to maximize the probability that Andrey won't get upset. Step 2: We need to find a set of friends to ask that maximizes this probability. Step 3: To achieve this, we should sort the probabilities in descending order and calculate the cumulative probability of not getting upset for each s...
5138cd2d75fd299df8bf2d3d8b46e5be81d154e7df4fa9f156c145513cc70297_1_1
72180ca50056c9c5a89d1b9d82cb95e381220779d220cd8566292deb77c8c2aa
Coding
codecontest
Write Python code to solve the task. Andrey needs one more problem to conduct a programming contest. He has n friends who are always willing to help. He can ask some of them to come up with a contest problem. Andrey knows one value for each of his fiends — the probability that this friend will come up with a problem if...
Step 1: The problem requires us to determine which set of friends should Andrey ask to maximize the probability of getting exactly one problem. Step 2: We need to consider each possible set of friends and calculate the probability of getting exactly one problem from this set. Step 3: Then, we will select the set tha...
c69a3c6385b106c2286222c01289a43b70c54934854ed437dd0f25fa5865112b_1_1
72180ca50056c9c5a89d1b9d82cb95e381220779d220cd8566292deb77c8c2aa
Coding
codecontest
Write Python code to solve the task. Andrey needs one more problem to conduct a programming contest. He has n friends who are always willing to help. He can ask some of them to come up with a contest problem. Andrey knows one value for each of his fiends — the probability that this friend will come up with a problem if...
Step 1: To solve this problem, we need to maximize the chances of Andrey not getting upset by choosing the set of friends with the highest probability of coming up with a problem. Step 2: We want to find the optimal set of friends such that the probability of Andrey getting exactly one problem is maximized. Step 3: ...
e2fba6ac779ec020f91f460155cfc1ed10a1ea4c9730453da0414339bef21ed8_1_1
72180ca50056c9c5a89d1b9d82cb95e381220779d220cd8566292deb77c8c2aa
Coding
codecontest
Write Python code to solve the task. Andrey needs one more problem to conduct a programming contest. He has n friends who are always willing to help. He can ask some of them to come up with a contest problem. Andrey knows one value for each of his fiends — the probability that this friend will come up with a problem if...
Step 1: The problem asks to select a set of friends that maximizes the chances of Andrey not getting upset. This means we need to find the optimal combination of friends based on their probabilities to come up with a contest problem. Step 2: We want to select friends with high probabilities to increase the chance of ...
bd039d06489f54254aec812483d23046edf4fd288460e3c581525544232b9205_1_1
72180ca50056c9c5a89d1b9d82cb95e381220779d220cd8566292deb77c8c2aa
Coding
codecontest
Write Python code to solve the task. Vasiliy has a car and he wants to get from home to the post office. The distance which he needs to pass equals to d kilometers. Vasiliy's car is not new — it breaks after driven every k kilometers and Vasiliy needs t seconds to repair it. After repairing his car Vasiliy can drive a...
Step 1: The problem requires finding the minimal time for Vasiliy to reach the post office, taking into account the distance, car range, car speed, walking speed, and repair time. Step 2: We need to consider various factors such as whether walking is faster, the number of car shifts, remaining distance after car shif...
b3b259c3e87cd435abc8411cd6bf54f6022ed93386c0ef80489a2b5fe73e18bb_1_1
5fecad549aec02378b8cc1f4cb190b638db3d3499259e6ae9d544e94a11c074c
Coding
codecontest
Write Python code to solve the task. Vasiliy has a car and he wants to get from home to the post office. The distance which he needs to pass equals to d kilometers. Vasiliy's car is not new — it breaks after driven every k kilometers and Vasiliy needs t seconds to repair it. After repairing his car Vasiliy can drive a...
Step 1: The given problem involves Vasiliy traveling a distance from home to the post office and deciding whether to travel by car or walk, given certain time and distance constraints. We need to consider the time and distance traveled by car before it breaks, repair time, as well as the time required for walking. Ste...
fd0682e1d51d5f3a25bc3a438db93ab356559717a0a6d028e3c27d81e4f9c9f4_1_1
5fecad549aec02378b8cc1f4cb190b638db3d3499259e6ae9d544e94a11c074c
Coding
codecontest
Write Python code to solve the task. Vasiliy has a car and he wants to get from home to the post office. The distance which he needs to pass equals to d kilometers. Vasiliy's car is not new — it breaks after driven every k kilometers and Vasiliy needs t seconds to repair it. After repairing his car Vasiliy can drive a...
Step 1: To solve this problem, we need to find the minimal time after which Vasiliy will be able to reach the post office, considering the distance he needs to pass and the characteristics of his car. Step 2: We also need to consider the time it takes for him to repair his car and the time it takes for him to walk on...
bac03b41281b8d0f311f0a3f5fa043a0abd140df0385f62fd09b584020b17f34_1_1
5fecad549aec02378b8cc1f4cb190b638db3d3499259e6ae9d544e94a11c074c
Coding
codecontest
Write Python code to solve the task. Vasiliy has a car and he wants to get from home to the post office. The distance which he needs to pass equals to d kilometers. Vasiliy's car is not new — it breaks after driven every k kilometers and Vasiliy needs t seconds to repair it. After repairing his car Vasiliy can drive a...
Step 1: The goal of this problem is to find the minimal time after which Vasiliy can reach the post office. Step 2: We need to consider the distance Vasiliy needs to travel, the distance his car can drive before breaking, the time to drive 1 kilometer on his car, the time to walk 1 kilometer on foot, and the time to ...
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5fecad549aec02378b8cc1f4cb190b638db3d3499259e6ae9d544e94a11c074c
Coding
codecontest
Write Python code to solve the task. The Rebel fleet is afraid that the Empire might want to strike back again. Princess Heidi needs to know if it is possible to assign R Rebel spaceships to guard B bases so that every base has exactly one guardian and each spaceship has exactly one assigned base (in other words, the a...
Step 1: This problem requires us to determine if it is possible to assign Rebel spaceships to guard bases such that each base has exactly one guardian and each spaceship has exactly one assigned base. Step 2: We need to ensure that any two paths from a base to its assigned spaceship do not intersect in the 2D plane t...
3dea51eb5b2cbe2b445fd9a399bc0e29f9cfa56b2d59a0c542c529aa90b4e803_1_1
199e3a48420dd13dccc4815e8607a3fad98ab86d162ba851787ef2c658e792ad
Coding
codecontest
Write Python code to solve the task. The Rebel fleet is afraid that the Empire might want to strike back again. Princess Heidi needs to know if it is possible to assign R Rebel spaceships to guard B bases so that every base has exactly one guardian and each spaceship has exactly one assigned base (in other words, the a...
Step 1: To solve this problem, we need to determine if it's possible to assign rebel spaceships to guard the bases in a way that satisfies certain constraints. Step 2: We will need to process the input to get the coordinates of the rebel spaceships and the bases. Step 3: After getting the coordinates, we need to che...
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199e3a48420dd13dccc4815e8607a3fad98ab86d162ba851787ef2c658e792ad
Coding
codecontest
Write Python code to solve the task. The Rebel fleet is afraid that the Empire might want to strike back again. Princess Heidi needs to know if it is possible to assign R Rebel spaceships to guard B bases so that every base has exactly one guardian and each spaceship has exactly one assigned base (in other words, the a...
Step 1: To solve this problem, we need to determine if it's possible to assign rebel spaceships to guard bases such that each base has exactly one guardian and each spaceship has exactly one assigned base. Step 2: One approach to solving this problem is to check if the number of rebel spaceships is equal to the numbe...
cd1e4927f33992743587e38f6af74c19c93d908373a78b4036d4e847ac889809_1_1
199e3a48420dd13dccc4815e8607a3fad98ab86d162ba851787ef2c658e792ad
Coding
codecontest
Write Python code to solve the task. The Rebel fleet is afraid that the Empire might want to strike back again. Princess Heidi needs to know if it is possible to assign R Rebel spaceships to guard B bases so that every base has exactly one guardian and each spaceship has exactly one assigned base (in other words, the a...
Step 1: The problem is asking whether it is possible to assign Rebel spaceships to guard bases in a way that satisfies certain constraints. Step 2: We need to check if it is possible to create a perfect matching between the Rebel spaceships and bases so that each base has exactly one guardian and each spaceship has e...
84df696e39ad215ff2936ad2dc2bed959736aa307aaa2577c7241fe91cdb28f6_1_1
199e3a48420dd13dccc4815e8607a3fad98ab86d162ba851787ef2c658e792ad
Coding
codecontest
Write Python code to solve the task. You are given n strings. Each string consists of lowercase English letters. Rearrange (reorder) the given strings in such a way that for every string, all strings that are placed before it are its substrings. String a is a substring of string b if it is possible to choose several c...
Step 1: The problem asks us to rearrange the given strings in such a way that for every string, all strings that are placed before it are its substrings. Step 2: Since strings might have repeated characters, we need to consider all possible combinations of consecutive letters to find substrings. Step 3: The approach...
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230a46c74c147eed656891fb9cd1f3c8b1b3ddddc4541f44698e25d02bdd34a2
Coding
codecontest
Write Python code to solve the task. You are given n strings. Each string consists of lowercase English letters. Rearrange (reorder) the given strings in such a way that for every string, all strings that are placed before it are its substrings. String a is a substring of string b if it is possible to choose several c...
Step 1: To solve this problem, we need to reorder the given strings in such a way that for every string, all strings that are placed before it are its substrings. Step 2: We can reorder the strings based on their lengths, starting from the shortest one. Since any string can be a substring of a string longer than itse...
03b3da504cc6bcf6e70ae5923566e85d8ca7df2b70d73d4e99d2015a71ba55ea_1_1
230a46c74c147eed656891fb9cd1f3c8b1b3ddddc4541f44698e25d02bdd34a2
Coding
codecontest
Write Python code to solve the task. You are given n strings. Each string consists of lowercase English letters. Rearrange (reorder) the given strings in such a way that for every string, all strings that are placed before it are its substrings. String a is a substring of string b if it is possible to choose several c...
Step 1: The problem requires us to reorder the given strings in such a way that for every string, all strings that are placed before it are its substrings. Step 2: To solve this problem, we need to sort the strings based on their lengths and then check if each string is a substring of the strings that come after it. ...
b3e280818368787b4360ac3b313cd0a810b58d666eedf3cc7dbdc0c33c21afaa_1_1
230a46c74c147eed656891fb9cd1f3c8b1b3ddddc4541f44698e25d02bdd34a2
Coding
codecontest
Write Python code to solve the task. You are given n strings. Each string consists of lowercase English letters. Rearrange (reorder) the given strings in such a way that for every string, all strings that are placed before it are its substrings. String a is a substring of string b if it is possible to choose several c...
Step 1: We need to reorder the given strings in such a way that for every string, all strings that are placed before it are its substrings Step 2: We can start by sorting the strings based on their length, as longer strings are more likely to contain shorter strings as substrings Step 3: After sorting, we can iterat...
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230a46c74c147eed656891fb9cd1f3c8b1b3ddddc4541f44698e25d02bdd34a2
Coding
codecontest
Write Python code to solve the task. For any positive integer, we define a digit rotation as either moving the first digit to the end of the number (left digit rotation), or the last digit to the front of the number (right digit rotation). For example, the number 12345 could be left digit rotated to 23451, or right dig...
Step 1: The problem requires us to determine the largest integer that can result from performing a series of one or more digit rotations on a given number. Step 2: We'll need to define functions to perform both left and right digit rotations as described in the problem statement. Step 3: To solve the problem, we'll ...
d0a159e3ead6c359972cb8ca8429638c44bdee9aae2ef086930755636d02a283_1_1
f70a5e203d1135ae2404863406f8f5f50f7c25e37987170428d896450b32a76b
Coding
codecontest
Write Python code to solve the task. For any positive integer, we define a digit rotation as either moving the first digit to the end of the number (left digit rotation), or the last digit to the front of the number (right digit rotation). For example, the number 12345 could be left digit rotated to 23451, or right dig...
Step 1: To solve this problem, we need to define functions for left and right digit rotation of a number. Step 2: We should then iterate through each digit rotation and calculate the largest integer that can result from performing a series of one or more digit rotations on N. Step 3: We can use the left and right di...
61b66e0dbb6202b7c88ef6555d21f24ff3b2f172940747c5d3fdb13aab4cc54b_1_1
f70a5e203d1135ae2404863406f8f5f50f7c25e37987170428d896450b32a76b
Coding
codecontest
Write Python code to solve the task. For any positive integer, we define a digit rotation as either moving the first digit to the end of the number (left digit rotation), or the last digit to the front of the number (right digit rotation). For example, the number 12345 could be left digit rotated to 23451, or right dig...
Step 1: To solve this problem, we need to define functions to perform left and right digit rotations on a given number. Step 2: We also need to iterate through the input numbers, perform sequential digit rotations, and keep track of the largest integer that results from these rotations. Step 3: Finally, we need to o...
796f2432995d80bf169fa2ff4c0f66537181ffefa135df4abd67a6c29e3da938_1_1
f70a5e203d1135ae2404863406f8f5f50f7c25e37987170428d896450b32a76b
Coding
codecontest
Write Python code to solve the task. For any positive integer, we define a digit rotation as either moving the first digit to the end of the number (left digit rotation), or the last digit to the front of the number (right digit rotation). For example, the number 12345 could be left digit rotated to 23451, or right dig...
Step 1: To solve this problem, we need to define functions for left digit rotation and right digit rotation of a given number. Step 2: We should then loop through the series of one or more digit rotations on N and return the largest integer that can result from these rotations. Step 3: The logic behind the subsequen...
b14040442423edad416e3c0554677503da5ac3ba4154de3e76a02596e69e367d_1_1
f70a5e203d1135ae2404863406f8f5f50f7c25e37987170428d896450b32a76b
Coding
codecontest
Write Python code to solve the task. Ilya plays a card game by the following rules. A player has several cards. Each card contains two non-negative integers inscribed, one at the top of the card and one at the bottom. At the beginning of the round the player chooses one of his cards to play it. If the top of the card ...
Step 1: To solve this problem, we need to consider the rules of the card game and determine the maximum number of points Ilya can score given his set of cards. Step 2: We need to consider the points obtained from playing each card, as well as the additional cards that can be played based on the bottom number of each ...
967507c4d8594b7836cf891e92d760b02fc84835a53b01c806f66f59e075dcc4_1_1
55de885af6b9faacb94a5ba14f86aec8cfebf29a686b5b299acb8b2fe9aab8d0
Coding
codecontest
Write Python code to solve the task. Ilya plays a card game by the following rules. A player has several cards. Each card contains two non-negative integers inscribed, one at the top of the card and one at the bottom. At the beginning of the round the player chooses one of his cards to play it. If the top of the card ...
Step 1: To solve this problem, we need to determine the maximum number of points Ilya can score by playing his cards based on the given rules. Step 2: We can start by reading the input, which includes the number of cards and the values of ai and bi for each card. Step 3: Then we need to consider the rules for playin...
925646def39dece8289841ad34f1550c2d1562e24880289ba706484e3c1d1d46_1_1
55de885af6b9faacb94a5ba14f86aec8cfebf29a686b5b299acb8b2fe9aab8d0
Coding
codecontest
Write Python code to solve the task. Ilya plays a card game by the following rules. A player has several cards. Each card contains two non-negative integers inscribed, one at the top of the card and one at the bottom. At the beginning of the round the player chooses one of his cards to play it. If the top of the card ...
Step 1: The problem requires us to determine the maximum number of points Ilya can score playing cards. Step 2: To solve this problem, we can approach it by simulating the game using the game rules. Step 3: We need to keep track of the score and counter for additional moves at each round of playing cards. Step 4: W...
de5ee251e00e2117b5d33c7e197e62db6917a5ab920f83376313867d4789fe06_1_1
55de885af6b9faacb94a5ba14f86aec8cfebf29a686b5b299acb8b2fe9aab8d0
Coding
codecontest
Write Python code to solve the task. Ilya plays a card game by the following rules. A player has several cards. Each card contains two non-negative integers inscribed, one at the top of the card and one at the bottom. At the beginning of the round the player chooses one of his cards to play it. If the top of the card ...
Step 1: To solve this problem, we need to calculate the maximum number of points Ilya can score by playing his cards based on the game rules. Step 2: We can start by reading the input, which consists of the number of cards Ilya has and the values written on the top and bottom of each card. Step 3: We also need to de...
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Coding
codecontest
Write Python code to solve the task. Bob loves everything sweet. His favorite chocolate bar consists of pieces, each piece may contain a nut. Bob wants to break the bar of chocolate into multiple pieces so that each part would contain exactly one nut and any break line goes between two adjacent pieces. You are asked t...
Step 1: The problem requires us to calculate the number of ways Bob can break the chocolate bar into multiple pieces, such that each part contains exactly one nut. Step 2: To solve this problem, we need to iterate through the pieces of the chocolate bar and keep track of the number of ways to make breaks. Step 3: We...
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422b8f056f6080d77d8714f98c4d19b7c1ed078add6e560d3216f08d3894e9e8
Coding
codecontest
Write Python code to solve the task. Bob loves everything sweet. His favorite chocolate bar consists of pieces, each piece may contain a nut. Bob wants to break the bar of chocolate into multiple pieces so that each part would contain exactly one nut and any break line goes between two adjacent pieces. You are asked t...
Step 1: To solve this problem, we need to calculate the number of ways to break a chocolate bar into multiple parts so that each part contains exactly one nut. Step 2: We can iterate through the pieces of the chocolate bar and keep track of the number of distinct ways to break the bar. Step 3: We need to handle case...
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422b8f056f6080d77d8714f98c4d19b7c1ed078add6e560d3216f08d3894e9e8
Coding
codecontest
Write Python code to solve the task. Bob loves everything sweet. His favorite chocolate bar consists of pieces, each piece may contain a nut. Bob wants to break the bar of chocolate into multiple pieces so that each part would contain exactly one nut and any break line goes between two adjacent pieces. You are asked t...
Step 1: 1. The problem requires finding the number of ways to break a chocolate bar into multiple pieces, each containing exactly one nut. 2. The input consists of the number of pieces in the chocolate bar and a list of integers indicating the presence of a nut in each piece. 3. We need to find an efficient algorithm ...
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422b8f056f6080d77d8714f98c4d19b7c1ed078add6e560d3216f08d3894e9e8
Coding
codecontest
Write Python code to solve the task. Bob loves everything sweet. His favorite chocolate bar consists of pieces, each piece may contain a nut. Bob wants to break the bar of chocolate into multiple pieces so that each part would contain exactly one nut and any break line goes between two adjacent pieces. You are asked t...
Step 1: We want to find the number of distinct ways to break the chocolate bar so that each part contains exactly one nut. Step 2: To solve this problem, we can iterate through the input array of pieces and keep track of the positions where nuts are present. Step 3: We can then calculate the number of distinct ways ...
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422b8f056f6080d77d8714f98c4d19b7c1ed078add6e560d3216f08d3894e9e8
Coding
codecontest
Write Python code to solve the task. ZS the Coder and Chris the Baboon has explored Udayland for quite some time. They realize that it consists of n towns numbered from 1 to n. There are n directed roads in the Udayland. i-th of them goes from town i to some other town ai (ai ≠ i). ZS the Coder can flip the direction...
Step 1: The problem is asking us to find the number of sets of roads that can be flipped such that the resulting network is not confusing. Step 2: To solve this problem, we need to understand the concept of directed cycles and the possible combinations of roads that can be flipped. Step 3: We can use a loop to itera...
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Coding
codecontest
Write Python code to solve the task. ZS the Coder and Chris the Baboon has explored Udayland for quite some time. They realize that it consists of n towns numbered from 1 to n. There are n directed roads in the Udayland. i-th of them goes from town i to some other town ai (ai ≠ i). ZS the Coder can flip the direction...
Step 1: The problem description outlines a scenario where ZS the Coder needs to flip the direction of any road in Udayland so that the resulting network will not be confusing. Step 2: We can approach this problem by representing the road network as a graph, where each town is a node and the roads are the directed edg...
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e53792346f80b70808dfcc36c40c621d25894bd8045b61b5c086824f3e3667cf
Coding
codecontest
Write Python code to solve the task. ZS the Coder and Chris the Baboon has explored Udayland for quite some time. They realize that it consists of n towns numbered from 1 to n. There are n directed roads in the Udayland. i-th of them goes from town i to some other town ai (ai ≠ i). ZS the Coder can flip the direction...
Step 1: The problem involves finding the number of sets of roads that ZS the Coder can flip to avoid confusion in the directed network. Step 2: A direction of a road is confusing if it forms a directed cycle of some towns. Step 3: To solve this problem, we will need to identify the connected components of the direct...
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e53792346f80b70808dfcc36c40c621d25894bd8045b61b5c086824f3e3667cf
Coding
codecontest
Write Python code to solve the task. ZS the Coder and Chris the Baboon has explored Udayland for quite some time. They realize that it consists of n towns numbered from 1 to n. There are n directed roads in the Udayland. i-th of them goes from town i to some other town ai (ai ≠ i). ZS the Coder can flip the direction...
Step 1: The problem requires the creation of a script that finds the number of ways to flip a set of roads such that the resulting network will not be confusing Step 2: In order to solve this problem, we can evaluate the given test case and its expected output based on the defined rules and requirements. Step 3: We ...
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e53792346f80b70808dfcc36c40c621d25894bd8045b61b5c086824f3e3667cf
Coding
codecontest
Write Python code to solve the task. DZY has a sequence a, consisting of n integers. We'll call a sequence ai, ai + 1, ..., aj (1 ≤ i ≤ j ≤ n) a subsegment of the sequence a. The value (j - i + 1) denotes the length of the subsegment. Your task is to find the longest subsegment of a, such that it is possible to chang...
Step 1: We need to find the longest subsegment of a sequence such that it is possible to change at most one number to make the subsegment strictly increasing. Step 2: We should iterate through the sequence and keep track of the lengths of increasing subsequences. Step 3: Then, we identify the indices at which the lo...
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Coding
codecontest
Write Python code to solve the task. DZY has a sequence a, consisting of n integers. We'll call a sequence ai, ai + 1, ..., aj (1 ≤ i ≤ j ≤ n) a subsegment of the sequence a. The value (j - i + 1) denotes the length of the subsegment. Your task is to find the longest subsegment of a, such that it is possible to chang...
Step 1: The problem asks for finding the longest subsegment of the sequence such that we are allowed to change at most one number to make it strictly increasing. Step 2: To solve this problem, we need to identify the subsegments in the sequence and check if we can change at most one number to make it strictly increas...
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c3cd68001052d8c0a6883b34f55b7c13aa6507480b00b8c6806b0e2568dd9ac9
Coding
codecontest
Write Python code to solve the task. DZY has a sequence a, consisting of n integers. We'll call a sequence ai, ai + 1, ..., aj (1 ≤ i ≤ j ≤ n) a subsegment of the sequence a. The value (j - i + 1) denotes the length of the subsegment. Your task is to find the longest subsegment of a, such that it is possible to chang...
Step 1: The task is to find the longest subsegment in the given sequence where at most one number can be changed to make the subsegment strictly increasing. Step 2: We can use dynamic programming to find the longest subsegment that satisfies the given condition. Step 3: We can then iterate through the sequence and c...
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c3cd68001052d8c0a6883b34f55b7c13aa6507480b00b8c6806b0e2568dd9ac9
Coding
codecontest
Write Python code to solve the task. DZY has a sequence a, consisting of n integers. We'll call a sequence ai, ai + 1, ..., aj (1 ≤ i ≤ j ≤ n) a subsegment of the sequence a. The value (j - i + 1) denotes the length of the subsegment. Your task is to find the longest subsegment of a, such that it is possible to chang...
Step 1: The problem requires us to find the longest subsegment of the sequence such that it is possible to change at most one number from the subsegment to make it strictly increasing. Step 2: We need to analyze the input sequence and find the longest subsegment that satisfies the given condition. Step 3: To do this...
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c3cd68001052d8c0a6883b34f55b7c13aa6507480b00b8c6806b0e2568dd9ac9
Coding
codecontest
Write Python code to solve the task. Hongcow is ruler of the world. As ruler of the world, he wants to make it easier for people to travel by road within their own countries. The world can be modeled as an undirected graph with n nodes and m edges. k of the nodes are home to the governments of the k countries that mak...
Step 1: The problem can be approached using graph theory, specifically by identifying connected components. We can determine how many additional edges can be added to create new connections within a country without breaking the stability of the graph. Step 2: To do this, we can use depth-first search (DFS) to explor...
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a40d7e3c3cf7bfde56c9e182bcb3b4949959c4355429839fed9186e9c5fa7546
Coding
codecontest
Write Python code to solve the task. Hongcow is ruler of the world. As ruler of the world, he wants to make it easier for people to travel by road within their own countries. The world can be modeled as an undirected graph with n nodes and m edges. k of the nodes are home to the governments of the k countries that mak...
Step 1: To solve this problem, we need to find the maximum number of edges that can be added to the graph while keeping it stable. Step 2: We can start by modeling the graph as an undirected graph with nodes and edges. We can represent the nodes as objects, each containing a list of children nodes. Step 3: We need t...
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a40d7e3c3cf7bfde56c9e182bcb3b4949959c4355429839fed9186e9c5fa7546
Coding
codecontest
Write Python code to solve the task. Hongcow is ruler of the world. As ruler of the world, he wants to make it easier for people to travel by road within their own countries. The world can be modeled as an undirected graph with n nodes and m edges. k of the nodes are home to the governments of the k countries that mak...
Step 1: The problem asks us to determine the maximum number of edges that can be added to the graph while keeping it stable. Step 2: To solve this, we can use a Union-Find data structure to maintain the connected components of the graph and calculate the size of each component. Step 3: We need to find the largest co...
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a40d7e3c3cf7bfde56c9e182bcb3b4949959c4355429839fed9186e9c5fa7546
Coding
codecontest
Write Python code to solve the task. Hongcow is ruler of the world. As ruler of the world, he wants to make it easier for people to travel by road within their own countries. The world can be modeled as an undirected graph with n nodes and m edges. k of the nodes are home to the governments of the k countries that mak...
Step 1: The problem requires determining the maximum number of edges that can be added to a graph while keeping it stable. A stable graph has no path connecting any two government nodes. The number of vertices and edges in the graph, as well as the nodes that are home to the governments, are given as input. Step 2: T...
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a40d7e3c3cf7bfde56c9e182bcb3b4949959c4355429839fed9186e9c5fa7546
Coding
codecontest
Write Python code to solve the task. Rahul and Rashi are bored with playing the game of Nim, particularly after Rahul gained a thorough understanding of game theory, and would always win. Now, they are going to play on a variation. There are only 2 piles of coins. Each player can make the following move: Pick K ( ≥ 1...
Step 1: The problem requires analyzing a variation of the game of Nim with two piles of coins. The goal is to determine if Rashi, as the first player, will win or lose in each test case. Step 2: To solve this problem, we can pre-calculate the game state results for all possible combinations of coins in the two piles....
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2d9cc2076616decb36307f7b1ea1cafa1485f2c563807eef2bab24be20a0d57a
Coding
codecontest
Write Python code to solve the task. Rahul and Rashi are bored with playing the game of Nim, particularly after Rahul gained a thorough understanding of game theory, and would always win. Now, they are going to play on a variation. There are only 2 piles of coins. Each player can make the following move: Pick K ( ≥ 1...
Step 1: The problem requires determining whether Rashi would win the game based on the sizes of two piles of coins after evaluating the game. Step 2: As the game constraints include a large number of test cases and the size of piles can be up to 10^6, it is imperative to develop a more efficient approach. Step 3: To...
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2d9cc2076616decb36307f7b1ea1cafa1485f2c563807eef2bab24be20a0d57a
Coding
codecontest
Write Python code to solve the task. Rahul and Rashi are bored with playing the game of Nim, particularly after Rahul gained a thorough understanding of game theory, and would always win. Now, they are going to play on a variation. There are only 2 piles of coins. Each player can make the following move: Pick K ( ≥ 1...
Step 1: To solve the problem, we need to understand the rules of the variation of the Nim game and how to determine when Rashi can win. Step 2: The winOrLose function checks the winning conditions of the game to determine if Rashi would win as the first player. Step 3: The compute function is responsible for buildin...
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2d9cc2076616decb36307f7b1ea1cafa1485f2c563807eef2bab24be20a0d57a
Coding
codecontest
Write Python code to solve the task. Rahul and Rashi are bored with playing the game of Nim, particularly after Rahul gained a thorough understanding of game theory, and would always win. Now, they are going to play on a variation. There are only 2 piles of coins. Each player can make the following move: Pick K ( ≥ 1...
Step 1: This problem involves creating a function to analyze the game of Nim in its variation with 2 piles of coins. Step 2: To solve this problem, we need to determine if the first player (Rashi) would win or lose the game. Step 3: The winOrLose function appears to use a dynamic programming approach to determine th...
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2d9cc2076616decb36307f7b1ea1cafa1485f2c563807eef2bab24be20a0d57a
Coding
codecontest
Write Python code to solve the task. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions held: * a < b < c; * a divides b, b ...
Step 1: To solve this problem, we need to partition the sequence into groups of three that satisfy the given conditions. Step 2: We first need to count the occurrences of each value in the sequence to determine the number of groups of three we can form. Step 3: Based on the counts of each value, we can determine whi...
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75f24194223d4e76ef0cf21345cd851d94728882ab741fbff9b2c3230cfe25f0
Coding
codecontest
Write Python code to solve the task. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions held: * a < b < c; * a divides b, b ...
Step 1: The problem requires us to find the required partition for the sequence of positive integers. Step 2: We need to iterate through the sequence and ensure that we can form groups of 3 that satisfy the given conditions (a < b, b < c, a divides b, b divides c). Step 3: Specifically, we need to utilize the count ...
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75f24194223d4e76ef0cf21345cd851d94728882ab741fbff9b2c3230cfe25f0
Coding
codecontest
Write Python code to solve the task. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions held: * a < b < c; * a divides b, b ...
Step 1: The problem requires the implementation of a function to partition a given sequence of positive integers into groups of three, according to certain conditions. Step 2: We need to check if the given sequence can be partitioned into groups of three such that for each group of three, a < b < c and a divides b, b...
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75f24194223d4e76ef0cf21345cd851d94728882ab741fbff9b2c3230cfe25f0
Coding
codecontest
Write Python code to solve the task. Xenia the mathematician has a sequence consisting of n (n is divisible by 3) positive integers, each of them is at most 7. She wants to split the sequence into groups of three so that for each group of three a, b, c the following conditions held: * a < b < c; * a divides b, b ...
Step 1: The input sequence needs to be split into groups of three such that a, b, and c satisfy the given conditions. Step 2: We need to find a partition such that for each group of three, a divides b, and b divides c. Step 3: We also need to check the counts of elements 1, 2, 3, 4, and 6 in the input sequence. Step...
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75f24194223d4e76ef0cf21345cd851d94728882ab741fbff9b2c3230cfe25f0
Coding
codecontest
Write Python code to solve the task. You are given string s of length n consisting of 0-s and 1-s. You build an infinite string t as a concatenation of an infinite number of strings s, or t = ssss ... For example, if s = 10010, then t = 100101001010010... Calculate the number of prefixes of t with balance equal to x. ...
Step 1: The problem requires us to calculate the number of prefixes of string t with a balance equal to x. Step 2: To solve this problem, we can iterate through the string and keep track of the balance at each index. Step 3: We can use a hashmap to store the occurrences of the different balances encountered while it...
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bb92bfeb43e10c8da6fe52db5cac4c649afc9222868a60e4fdcf2b968b788991
Coding
codecontest
Write Python code to solve the task. You are given string s of length n consisting of 0-s and 1-s. You build an infinite string t as a concatenation of an infinite number of strings s, or t = ssss ... For example, if s = 10010, then t = 100101001010010... Calculate the number of prefixes of t with balance equal to x. ...
Step 1: The problem is asking us to calculate the number of prefixes of an infinite string t with a given balance. Step 2: To solve this problem, we can iterate through the input string s to calculate the balance at each position and then determine the number of prefixes with the desired balance. Step 3: We need to ...
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bb92bfeb43e10c8da6fe52db5cac4c649afc9222868a60e4fdcf2b968b788991
Coding
codecontest
Write Python code to solve the task. You are given string s of length n consisting of 0-s and 1-s. You build an infinite string t as a concatenation of an infinite number of strings s, or t = ssss ... For example, if s = 10010, then t = 100101001010010... Calculate the number of prefixes of t with balance equal to x. ...
Step 1: To solve this problem, we need to calculate the number of prefixes of the infinite string t with a balance equal to x. Step 2: We will iterate through the string s and calculate the balance at each position using the count of 0s and 1s. Step 3: We will then count the number of prefixes with the desired balan...
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bb92bfeb43e10c8da6fe52db5cac4c649afc9222868a60e4fdcf2b968b788991
Coding
codecontest
Write Python code to solve the task. You are given string s of length n consisting of 0-s and 1-s. You build an infinite string t as a concatenation of an infinite number of strings s, or t = ssss ... For example, if s = 10010, then t = 100101001010010... Calculate the number of prefixes of t with balance equal to x. ...
Step 1: The given problem involves calculating the number of prefixes of the infinite string t with the given balance x. Step 2: The t string is constructed by concatenating an infinite number of strings s. We need to determine the number of prefixes of t with balance equal to x. Step 3: We can achieve this by calcu...
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bb92bfeb43e10c8da6fe52db5cac4c649afc9222868a60e4fdcf2b968b788991
Coding
codecontest
Write Python code to solve the task. Vasya has a string s of length n. He decides to make the following modification to the string: 1. Pick an integer k, (1 ≤ k ≤ n). 2. For i from 1 to n-k+1, reverse the substring s[i:i+k-1] of s. For example, if string s is qwer and k = 2, below is the series of transformation...
Step 1: The problem requires us to choose a value of k that results in the lexicographically smallest string after the described modification. Step 2: We need to iterate through each test case and generate all possible strings after reversing substrings of different lengths. Step 3: Then, we need to sort the resulti...
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6ba4dd2cf280bc270c4a5cda019b23acbaff0f6b1f10fbe10d0b1bc63a206e11
Coding
codecontest
Write Python code to solve the task. Vasya has a string s of length n. He decides to make the following modification to the string: 1. Pick an integer k, (1 ≤ k ≤ n). 2. For i from 1 to n-k+1, reverse the substring s[i:i+k-1] of s. For example, if string s is qwer and k = 2, below is the series of transformation...
Step 1: The problem requires that we find the lexicographically smallest string achievable through a series of string modifications according to the given rules. Step 2: We need to iterate through the string with varying lengths and reverse the substring within the specified range. Step 3: Our task is to find the le...
850117c4f95eac2212306d6886eb66a8bd76f3bfdce5fd229821bed7e0319f49_1_1
6ba4dd2cf280bc270c4a5cda019b23acbaff0f6b1f10fbe10d0b1bc63a206e11
Coding
codecontest
Write Python code to solve the task. Vasya has a string s of length n. He decides to make the following modification to the string: 1. Pick an integer k, (1 ≤ k ≤ n). 2. For i from 1 to n-k+1, reverse the substring s[i:i+k-1] of s. For example, if string s is qwer and k = 2, below is the series of transformation...
Step 1: The problem is asking us to find the lexicographically smallest string achievable through a series of modifications based on a given string. Step 2: We need to perform a series of substring reversals and compare the results to determine the lexicographically smallest string. Step 3: We should also output the...
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6ba4dd2cf280bc270c4a5cda019b23acbaff0f6b1f10fbe10d0b1bc63a206e11
Coding
codecontest
Write Python code to solve the task. Vasya has a string s of length n. He decides to make the following modification to the string: 1. Pick an integer k, (1 ≤ k ≤ n). 2. For i from 1 to n-k+1, reverse the substring s[i:i+k-1] of s. For example, if string s is qwer and k = 2, below is the series of transformation...
Step 1: The problem requires us to choose an integer k such that the resulting string after modifying s with k is the lexicographically smallest possible among all choices of k. Step 2: We need to iterate over all possible values of k and keep track of the lexicographically smallest string s' and the value of k used ...
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6ba4dd2cf280bc270c4a5cda019b23acbaff0f6b1f10fbe10d0b1bc63a206e11
Coding
codecontest
Write Python code to solve the task. Unlike Knights of a Round Table, Knights of a Polygonal Table deprived of nobility and happy to kill each other. But each knight has some power and a knight can kill another knight if and only if his power is greater than the power of victim. However, even such a knight will torment...
Step 1: The problem is asking us to find the maximum number of coins each knight can have if they only kill other knights, given the power and number of coins of each knight. Step 2: To solve this problem, we can use an array to store the power of the knights and another array to store the number of coins each knight...
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