task stringclasses 4
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values | instruction stringlengths 66 14k | response stringlengths 13 8.89k | id stringlengths 68 68 | parent_id stringlengths 64 64 |
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Coding | codecontest | Write Python code to solve the task.
Consider an n Γ m grid. Initially all the cells of the grid are colored white. Lenny has painted some of the cells (at least one) black. We call a painted grid convex if one can walk from any black cell to any another black cell using a path of side-adjacent black cells changing his... | Step 1:
To solve this problem, we need to determine if a given grid of black and white cells is convex. A grid is convex if one can walk from any black cell to another using a path of side-adjacent black cells, changing direction at most once during the path.
To solve this, we can implement a function to check if the... | dce85fe236f7ad3d74b4f060d4f883d22196be6b8d3a890bed51aa0bee0c4ce4_1_1 | 760a708f51baf1f0d347b4e74cdd5f11488efbb38c2a4e46be8947684408f2da |
Coding | codecontest | Write Python code to solve the task.
Giant chess is quite common in Geraldion. We will not delve into the rules of the game, we'll just say that the game takes place on an h Γ w field, and it is painted in two colors, but not like in chess. Almost all cells of the field are white and only some of them are black. Curren... | Step 1: The problem requires finding the number of ways to move a pawn from the upper left to the lower right corner of the chess board.
Step 2: We can solve this problem using dynamic programming to keep track of the number of ways to reach each cell while avoiding the black cells.
Step 3: We'll also calculate the ... | 547d56c9a45ab291e1f6d936ec7306204a1f9c15fffa7f9a30b51b1faa2507e8_1_1 | bceff07e8b70efd4d31cc82f0803ba88df7d3ddf0b905ee7d9d9ad0fb2d5090f |
Coding | codecontest | Write Python code to solve the task.
Giant chess is quite common in Geraldion. We will not delve into the rules of the game, we'll just say that the game takes place on an h Γ w field, and it is painted in two colors, but not like in chess. Almost all cells of the field are white and only some of them are black. Curren... | Step 1: This problem involves moving a pawn from the upper left corner to the lower right corner of a board.
Step 2: The board has dimensions h x w and contains n black cells which block the path of the pawn.
Step 3: We need to calculate the number of ways to move the pawn from the upper left to the lower right corn... | 3fb03a8c1ac710b6da8733d8e130c0b386452444808263e028f1749006386d48_1_1 | bceff07e8b70efd4d31cc82f0803ba88df7d3ddf0b905ee7d9d9ad0fb2d5090f |
Coding | codecontest | Write Python code to solve the task.
A permutation of length n is an array p=[p_1,p_2,...,p_n], which contains every integer from 1 to n (inclusive) and, moreover, each number appears exactly once. For example, p=[3,1,4,2,5] is a permutation of length 5.
For a given number n (n β₯ 2), find a permutation p in which abso... | Step 1: To solve this problem, we can start by understanding the requirements for the permutation. We need to find a permutation in which the absolute difference of any two neighboring elements is between 2 and 4, inclusive.
Step 2: We can then use the given logic to generate such a permutation and output it. If no s... | d87d9e401a3e289a6d10058ef9bb339f6192c4a57770a736342cf009d3bf20d9_1_1 | 65539b762a13e7fee2f01faa0a729949fb38fa0a6669c24a833446692da64f0b |
Coding | codecontest | Write Python code to solve the task.
A permutation of length n is an array p=[p_1,p_2,...,p_n], which contains every integer from 1 to n (inclusive) and, moreover, each number appears exactly once. For example, p=[3,1,4,2,5] is a permutation of length 5.
For a given number n (n β₯ 2), find a permutation p in which abso... | Step 1: The problem requires finding a permutation p in which the absolute difference of any two neighboring elements is between 2 and 4, inclusive.
Step 2: We can start by defining a function that generates such a permutation, given the size of the permutation.
Step 3: Then, we can use this function to generate per... | af86f4186745f64ddb21a48c1bde20d91bd8c751eb9058d2d5e336b7c8aa0766_1_1 | 65539b762a13e7fee2f01faa0a729949fb38fa0a6669c24a833446692da64f0b |
Coding | codecontest | Write Python code to solve the task.
You are given a positive (greater than zero) integer n.
You have to represent n as the sum of integers (possibly negative) consisting only of ones (digits '1'). For example, 24 = 11 + 11 + 1 + 1 and 102 = 111 - 11 + 1 + 1.
Among all possible representations, you have to find the ... | Step 1: To solve this problem, we need to represent the integer n as the sum of integers consisting only of ones (possibly negative) that uses the minimum number of ones in total.
Step 2: We can start by representing n as the sum of ones and find the minimum number of ones required for the representation.
Step 3: We... | c1227e0ab4c2920183c26f1411cbe12b7156631c927b9094d1db76f7aa660766_1_1 | 117ea300b52d4406186d865b9aad3dbc53e1a5341c9ac3415550a33c4a0a69f5 |
Coding | codecontest | Write Python code to solve the task.
You are given a positive (greater than zero) integer n.
You have to represent n as the sum of integers (possibly negative) consisting only of ones (digits '1'). For example, 24 = 11 + 11 + 1 + 1 and 102 = 111 - 11 + 1 + 1.
Among all possible representations, you have to find the ... | Step 1: To solve this problem, we need to find the minimum number of ones required to represent the given integer n as the sum of integers consisting only of ones. This is a dynamic programming problem.
Step 2: We need to consider all possible representations of n, where the sum of integers (possibly negative) consis... | fc3b5d0e6ccf37a88a04318c35182496af869723068f37dc796c90494eb6640f_1_1 | 117ea300b52d4406186d865b9aad3dbc53e1a5341c9ac3415550a33c4a0a69f5 |
Coding | codecontest | Write Python code to solve the task.
The Little Elephant loves permutations of integers from 1 to n very much. But most of all he loves sorting them. To sort a permutation, the Little Elephant repeatedly swaps some elements. As a result, he must receive a permutation 1, 2, 3, ..., n.
This time the Little Elephant has ... | Step 1: To solve this problem, we need to calculate the mathematical expectation of the number of permutation inversions after all moves of the program are completed.
Step 2: We can achieve this by simulating the permutation swaps using a dynamic programming approach and calculating the inversion count.
Step 3: To b... | 4d882a153cde998ff89bf349abf1d01507e78bea440b5485527f8ed6b56b9948_1_1 | 6d9722fde820e310b486c26424b239037b8977eac5607ab543197d1893ac4c24 |
Coding | codecontest | Write Python code to solve the task.
The Little Elephant loves permutations of integers from 1 to n very much. But most of all he loves sorting them. To sort a permutation, the Little Elephant repeatedly swaps some elements. As a result, he must receive a permutation 1, 2, 3, ..., n.
This time the Little Elephant has ... | Step 1: The problem is asking for the mathematical expectation of the number of permutation inversions after a certain number of moves with possible swaps are completed.
Step 2: We can start by defining a 2D array to store the similarity values between the elements of the permutation.
Step 3: We then need to update ... | 80fd479836fdc06d0487e5d666924de267b5eaa88a65101e0cec7962c990c4fb_1_1 | 6d9722fde820e310b486c26424b239037b8977eac5607ab543197d1893ac4c24 |
Coding | codecontest | Write Python code to solve the task.
Sometimes Mister B has free evenings when he doesn't know what to do. Fortunately, Mister B found a new game, where the player can play against aliens.
All characters in this game are lowercase English letters. There are two players: Mister B and his competitor.
Initially the play... | Step 1: The problem requires calculating the minimum possible number of different letters in the segment from position l to position r, inclusive, in string s.
Step 2: The length of the segment is not necessarily smaller than the length of the string.
Step 3: However, the string generated may contain repeating chara... | c7bd805cfe20a3016c7dcf92d284ac71119a1e6a85f6e7f084dc8061e95836ff_1_1 | a6b9262557a6ef4cab1c3ff4bf75e1654c31b6079bc750d753abb16e38697a7b |
Coding | codecontest | Write Python code to solve the task.
Sometimes Mister B has free evenings when he doesn't know what to do. Fortunately, Mister B found a new game, where the player can play against aliens.
All characters in this game are lowercase English letters. There are two players: Mister B and his competitor.
Initially the play... | Step 1: The given problem describes a game where players add letters to a string according to certain rules. The question requires finding the segment between positions l and r (inclusive) of the string and determining the minimum possible number of different letters in that segment.
Step 2: The initial segment is cr... | 3d48a8658276accc89382d2b889b85814ae2d0da11dac02e8cba95925549b768_1_1 | a6b9262557a6ef4cab1c3ff4bf75e1654c31b6079bc750d753abb16e38697a7b |
Coding | codecontest | Write Python code to solve the task.
You are given a forest with N vertices and M edges. The vertices are numbered 0 through N-1. The edges are given in the format (x_i,y_i), which means that Vertex x_i and y_i are connected by an edge.
Each vertex i has a value a_i. You want to add edges in the given forest so that t... | Step 1: The problem requires us to find the minimum total cost required to make the forest connected. We can solve this problem using Kruskal's algorithm, which is used to find the minimum spanning tree for a connected, undirected, weighted graph. The minimum spanning tree for a forest is the set of edges that connect... | 8c22798fe113c27fb738056c4d9bc746bc97c2da05dc574ff78ee7d68e640c76_1_1 | 2cb3fb9294bb1eda5ab2499889a30a011bc919c5fa484b48cfaf878fc131d666 |
Coding | codecontest | Write Python code to solve the task.
You are given a forest with N vertices and M edges. The vertices are numbered 0 through N-1. The edges are given in the format (x_i,y_i), which means that Vertex x_i and y_i are connected by an edge.
Each vertex i has a value a_i. You want to add edges in the given forest so that t... | Step 1: The goal of this problem is to find the minimum total cost required to make a forest connected.
Step 2: We need to consider the cost of adding edges to connect the vertices of the forest while minimizing the total cost.
Step 3: To achieve this, we should consider the cost of each vertex, the connectivity of ... | 19b95c12739ab83382b9e173e8100979bbad5de27774021d1d31822ac808829d_1_1 | 2cb3fb9294bb1eda5ab2499889a30a011bc919c5fa484b48cfaf878fc131d666 |
Coding | codecontest | Write Python code to solve the task.
The Little Elephant loves sortings.
He has an array a consisting of n integers. Let's number the array elements from 1 to n, then the i-th element will be denoted as ai. The Little Elephant can make one move to choose an arbitrary pair of integers l and r (1 β€ l β€ r β€ n) and increa... | Step 1: The problem requires us to find the minimum number of moves needed to convert an array to a non-decreasing order.
Step 2: To solve this problem, we can iterate through the array and calculate the difference between adjacent elements to determine the number of moves needed.
Step 3: We can then sum the maximum... | 9ba9dce9052fd88bdef8f7a73f1346df8265ce300b095dbd3bbac26a45791eab_1_1 | ab050dc1c682518ec000b28dc159cff81db552953e2de485019b0d138d3a9a3b |
Coding | codecontest | Write Python code to solve the task.
The Little Elephant loves sortings.
He has an array a consisting of n integers. Let's number the array elements from 1 to n, then the i-th element will be denoted as ai. The Little Elephant can make one move to choose an arbitrary pair of integers l and r (1 β€ l β€ r β€ n) and increa... | Step 1: To solve this problem, we need to determine for each pair of adjacent elements in the array, how many moves it would take to increase the second element to at least the same value as the first element.
Step 2: We then sum the total number of moves required for each pair to get the minimum number of moves requ... | 2e777916c347cf984668b0b9c1d0fe0abd6c33cda99ffe9e3bede86eac8a9686_1_1 | ab050dc1c682518ec000b28dc159cff81db552953e2de485019b0d138d3a9a3b |
Coding | codecontest | Write Python code to solve the task.
Demiurges Shambambukli and Mazukta love to watch the games of ordinary people. Today, they noticed two men who play the following game.
There is a rooted tree on n nodes, m of which are leaves (a leaf is a nodes that does not have any children), edges of the tree are directed from ... | Step 1: The given problem involves processing a rooted tree and rearranging the numbers in the leaves to maximize the result of the game for Shambambukli and minimize it for Mazukta.
Step 2: We need to find the maximum and minimum possible results of the game and output them as space-separated integers.
Step 3: We c... | a6f2a468a6597de1b30a873f1a70b51032348d76b214a94cf050abd386f8cc08_1_1 | c104f8f1a8dc721f07e24817801011a53ca26370b223ead7f612893ba5bcb8c2 |
Coding | codecontest | Write Python code to solve the task.
Demiurges Shambambukli and Mazukta love to watch the games of ordinary people. Today, they noticed two men who play the following game.
There is a rooted tree on n nodes, m of which are leaves (a leaf is a nodes that does not have any children), edges of the tree are directed from ... | Step 1: The problem involves creating a tree structure and performing some calculations based on the tree nodes and their properties.
Step 2: We need to calculate the maximum and minimum possible results of the game, accounting for both first and second player moves.
Step 3: The process involves creating a tree data... | e2f4c6e1bfb04e86c89e84f4a5c06b0fb843abd4a6f39500f05f4112f09d5d3b_1_1 | c104f8f1a8dc721f07e24817801011a53ca26370b223ead7f612893ba5bcb8c2 |
Coding | codecontest | Write Python code to solve the task.
Alice and Bonnie are sisters, but they don't like each other very much. So when some old family photos were found in the attic, they started to argue about who should receive which photos. In the end, they decided that they would take turns picking photos. Alice goes first.
There a... | Step 1: The problem describes a game in which Alice and Bonnie take turns choosing photos to maximize their happiness.
Step 2: Each photo has two values indicating happiness for Alice and Bonnie.
Step 3: We need to calculate the difference in happiness between Alice and Bonnie when playing optimally.
Step 4: We nee... | b50e8be10364561f74668b3076680f8214492ddfb420d6b293bf0f2a7b7404a8_1_1 | 9707f88ac488733b73016363d391862ee9838aabe1faeec88d001db498e83296 |
Coding | codecontest | Write Python code to solve the task.
Alice and Bonnie are sisters, but they don't like each other very much. So when some old family photos were found in the attic, they started to argue about who should receive which photos. In the end, they decided that they would take turns picking photos. Alice goes first.
There a... | Step 1: To solve this problem, we need to simulate the process of picking photos for both players and calculate the difference between their happiness.
Step 2: We'll need to consider the optimal strategy for both players and calculate their happiness by maximizing the difference between their happiness.
Step 3: We'l... | 77377f4747fae9162607791c0b5d86a6da75fd5390c7808c049325c45611e18a_1_1 | 9707f88ac488733b73016363d391862ee9838aabe1faeec88d001db498e83296 |
Coding | codecontest | Write Python code to solve the task.
A permutation p of length n is a sequence of distinct integers p1, p2, ..., pn (1 β€ pi β€ n). A permutation is an identity permutation, if for any i the following equation holds pi = i.
A swap (i, j) is the operation that swaps elements pi and pj in the permutation. Let's assume th... | Step 1: The problem involves transforming one permutation into another by performing swaps, and we need to find the minimum number of swaps required to achieve this.
Step 2: To solve this problem, we can use the concept of cycles in permutations, where a cycle is a disjoint set of elements that form a closed loop whe... | fcf36e1a195d3d17e92db9105feba9124ca664a6d310cc64cd916da38b0a8572_1_1 | 0362d1b06963f272ce84a03e55ae29af566279342228d492e3adb9025297c3bd |
Coding | codecontest | Write Python code to solve the task.
A permutation p of length n is a sequence of distinct integers p1, p2, ..., pn (1 β€ pi β€ n). A permutation is an identity permutation, if for any i the following equation holds pi = i.
A swap (i, j) is the operation that swaps elements pi and pj in the permutation. Let's assume th... | Step 1: The problem requires finding the minimum number of swaps needed to transform one permutation into another.
Step 2: We can use a sequence of swap operations to transform the first permutation into the other permutation.
Step 3: We will need to find the lexicographically minimal sequence of swaps.
Step 4: To... | 12307b56a01eccc17d6faa5c23c57c640c03563d640b3c9bc633da64ec9a59b0_1_1 | 0362d1b06963f272ce84a03e55ae29af566279342228d492e3adb9025297c3bd |
Coding | codecontest | Write Python code to solve the task.
Vasya and Kolya play a game with a string, using the following rules. Initially, Kolya creates a string s, consisting of small English letters, and uniformly at random chooses an integer k from a segment [0, len(s) - 1]. He tells Vasya this string s, and then shifts it k letters to ... | Step 1: The problem is asking to find the probability of Vasya winning the game if he tries to guess the integer k.
Step 2: Vasya's goal is to maximize the probability of his win at any moment of the game.
Step 3: To solve this problem, we need to analyze all possible combinations of shuffled strings and determine ... | a45dcaf77c863540960779daea01881dcb8ba66a2553ccc86aee586b5239ef0b_1_1 | 2e2b1814b8c44b9e2ec0637aef53c6904e478b0ad1ff1f6f7f8c2b24a432185e |
Coding | codecontest | Write Python code to solve the task.
Vasya and Kolya play a game with a string, using the following rules. Initially, Kolya creates a string s, consisting of small English letters, and uniformly at random chooses an integer k from a segment [0, len(s) - 1]. He tells Vasya this string s, and then shifts it k letters to ... | Step 1: The goal of this problem is to calculate the probability of Vasya winning in guessing the integer k given a string s that has been shifted with an unknown integer k.
Step 2: We can approach this problem by iterating through the characters of the string and calculating the probability of winning for each possi... | 2a470f1be66fc00f811be49c8ddfa64e4355ce1a25425d48f891c259405d3b4e_1_1 | 2e2b1814b8c44b9e2ec0637aef53c6904e478b0ad1ff1f6f7f8c2b24a432185e |
Coding | codecontest | Write Python code to solve the task.
Pandey needs your help. As you know, he is on the quest to save the princess. After traveling for a number of days, he has finally reached the palace, but one last battle remains to be fought. However he has only one unit of energy left in him. To win the battle, he needs all the en... | Step 1: The problem requires maximizing the total energy of Pandey after selecting the balloons.
Step 2: We need to iterate through each balloon type and calculate the possible energy gain or loss for both the minimum energy and maximum energy values resulting from each choice.
Step 3: We should take into account th... | 8fa5a7c359f19e67d600be2d54d1cc54efa1d87f0cf83942ef435c57483dd7f3_1_1 | 9cdbd081142accbdfc6a7463802bd8393e6cbc00a3273f7b29c5270d22457ff7 |
Coding | codecontest | Write Python code to solve the task.
Pandey needs your help. As you know, he is on the quest to save the princess. After traveling for a number of days, he has finally reached the palace, but one last battle remains to be fought. However he has only one unit of energy left in him. To win the battle, he needs all the en... | Step 1: The problem requires selecting balloons to maximize Pandey's energy without knowing the future value of the balloons. We need to iterate through the balloons and calculate the energy if Pandey accepts or doesn't accept each balloon.
Step 2: We can do this by implementing functions to process the transformatio... | 340c01f2a3a66b4e6293929df9b4655761864b6deace9d26dc5343705e931aba_1_1 | 9cdbd081142accbdfc6a7463802bd8393e6cbc00a3273f7b29c5270d22457ff7 |
Coding | codecontest | Write Python code to solve the task.
There are N cities in a two-dimensional plane. The coordinates of the i-th city is (x_i, y_i). Initially, the amount of water stored in the i-th city is a_i liters.
Snuke can carry any amount of water from a city to another city. However, water leaks out a bit while he carries it. ... | Step 1: To solve this problem, we can use a dynamic programming approach to calculate the maximum amount of water that can be distributed to each city.
Step 2: The water distribution can be modeled as a state and we can use a recursive function to find the maximum water distribution for each state.
Step 3: We can ... | 728ce04a64f9a7bbf9fee70828a07a73489176af689ddad9f01dd564c924ab28_1_1 | 8494a56ee19fad1d5afc75c3393893ea9ea7f3a5314b2a9e3416ed365733f936 |
Coding | codecontest | Write Python code to solve the task.
There are N cities in a two-dimensional plane. The coordinates of the i-th city is (x_i, y_i). Initially, the amount of water stored in the i-th city is a_i liters.
Snuke can carry any amount of water from a city to another city. However, water leaks out a bit while he carries it. ... | Step 1: The problem involves calculating the maximum of the minimum amount of water that can be distributed among N cities.
Step 2: We need to find a way to calculate the quantities of water delivered to each city and determine the maximum value that can be achieved.
Step 3: The provided solution seems to implement ... | acc7243ba5700c38f7f99a1e46d06af30548374ad33c800355744aa3577996c5_1_1 | 8494a56ee19fad1d5afc75c3393893ea9ea7f3a5314b2a9e3416ed365733f936 |
Coding | codecontest | Write Python code to solve the task.
Teacher thinks that we make a lot of progress. Now we are even allowed to use decimal notation instead of counting sticks. After the test the teacher promised to show us a "very beautiful number". But the problem is, he's left his paper with the number in the teachers' office.
The ... | Step 1: We need to figure out how to find a minimal number that meets the given conditions. This involves some modulo arithmetic and loop iterations.
Step 2: The provided solution uses a few ways to efficiently find the minimal possible number following the given conditions.
Step 3: We should evaluate if the provide... | dd484d86f6f12a07cf62826ec6b234629abf565c3a6eb82ac1840018431e709b_1_1 | e5b843fac0821df643191617dfd0e7400548e9f836a03856fed16243212cecde |
Coding | codecontest | Write Python code to solve the task.
Teacher thinks that we make a lot of progress. Now we are even allowed to use decimal notation instead of counting sticks. After the test the teacher promised to show us a "very beautiful number". But the problem is, he's left his paper with the number in the teachers' office.
The ... | Step 1: The problem requires finding the smallest number of p digits that, after removing the last digit and placing it at the beginning, will grow x times.
Step 2: To solve this problem, we need to find the divisor (u) and the remainder (v) of a large number using modular arithmetic.
Step 3: We then need to calcul... | 742d6fb830d624276934cacc7ca57d4d6d7da1c9338001ef2bf19b528c79bcb7_1_1 | e5b843fac0821df643191617dfd0e7400548e9f836a03856fed16243212cecde |
Coding | codecontest | Write Python code to solve the task.
For a permutation P[1... N] of integers from 1 to N, function f is defined as follows:
<image>
Let g(i) be the minimum positive integer j such that f(i, j) = i. We can show such j always exists.
For given N, A, B, find a permutation P of integers from 1 to N such that for 1 β€ i β€... | Step 1: The problem requires us to find a permutation of integers from 1 to N such that for 1 β€ i β€ N, g(i) equals either A or B.
Step 2: To achieve this, we need to find the values of i and j that satisfy the given constraints.
Step 3: The final permutation should be built based on the values of i and j.
Step 4: W... | aeb31ab50b6d4d2be501fc3d3bc2a783117e8987704f08003bb0c0eac7336dea_1_1 | 9cc33eb88431877bb4468df1c0f76a74f591f22f36dca5b4fb76049ea0b73c10 |
Coding | codecontest | Write Python code to solve the task.
For a permutation P[1... N] of integers from 1 to N, function f is defined as follows:
<image>
Let g(i) be the minimum positive integer j such that f(i, j) = i. We can show such j always exists.
For given N, A, B, find a permutation P of integers from 1 to N such that for 1 β€ i β€... | Step 1: The problem requires us to find a permutation of integers from 1 to N such that for 1 β€ i β€ N, g(i) equals either A or B.
Step 2: The function f is defined as
Step 3: f(i, j) -> 0 if j = 1 else f(P[i], j-1)
Step 4: It is given that g(i) is the minimum positive integer j such that f(i, j) = i
Step 5: ... | 17de03c6a50200970bae8caf9c557090be0a38c18b16544027298a43540e3053_1_1 | 9cc33eb88431877bb4468df1c0f76a74f591f22f36dca5b4fb76049ea0b73c10 |
Coding | codecontest | Write Python code to solve the task.
There are n candy boxes in front of Tania. The boxes are arranged in a row from left to right, numbered from 1 to n. The i-th box contains r_i candies, candies have the color c_i (the color can take one of three values βββ red, green, or blue). All candies inside a single box have t... | Step 1: To solve this problem, we need to find the minimum number of seconds needed for Tanya to eat at least k candies, considering the constraints on the colors of candies and the number of candies in each box.
Step 2: We can use dynamic programming to keep track of the minimum time needed for each box when Tanya e... | dfedf1878b235744f3aa716f561ec0bf30d03fc59e1793d1675febe740c14764_1_1 | 9aaeea0d78fe650cf91a259d69e7106d0d68f4fbd55010c3a28ab661361ecf85 |
Coding | codecontest | Write Python code to solve the task.
There are n candy boxes in front of Tania. The boxes are arranged in a row from left to right, numbered from 1 to n. The i-th box contains r_i candies, candies have the color c_i (the color can take one of three values βββ red, green, or blue). All candies inside a single box have t... | Step 1: We need to figure out the minimum time Tanya will need to eat at least k candies with given constraints.
Step 2: We can use dynamic programming for solving this problem. We will start with an arbitrary box and build a table using using recursive calls.
Step 3: We need to check the adjacent boxes and find a w... | 2e06fb4d724050d31d8dbe6109c95bc0c24fa8b97ecd91f0a04fd9c4dec4251f_1_1 | 9aaeea0d78fe650cf91a259d69e7106d0d68f4fbd55010c3a28ab661361ecf85 |
Coding | codecontest | Write Python code to solve the task.
Arkady bought an air ticket from a city A to a city C. Unfortunately, there are no direct flights, but there are a lot of flights from A to a city B, and from B to C.
There are n flights from A to B, they depart at time moments a_1, a_2, a_3, ..., a_n and arrive at B t_a moments la... | Step 1: This problem requires finding the earliest time Arkady can arrive at city C after optimally cancelling k flights.
Step 2: We need to iterate through various combinations of flights from A to B and B to C and check which combination of flights allows Arkady to arrive at C as early as possible.
Step 3: We also... | 06ef6cd7623bc979fdcb1fa57e8e03846fd24bc8744d6b0bf89256423798d80f_1_1 | df63be3c847ea0218978c8ca0bd80c834b338423465f220626d7bbc6be1cd06c |
Coding | codecontest | Write Python code to solve the task.
Arkady bought an air ticket from a city A to a city C. Unfortunately, there are no direct flights, but there are a lot of flights from A to a city B, and from B to C.
There are n flights from A to B, they depart at time moments a_1, a_2, a_3, ..., a_n and arrive at B t_a moments la... | Step 1:
To solve this problem, we need to optimize the travel time from city A to city C by considering the arrival times of flights from A to B and flights from B to C. We can cancel a maximum of k flights to delay Arkady's arrival at city C. We'll iterate over the possible flights to cancel and compute the earliest ... | f25240b7eec34a505e09d7df42752c2e5210b7b5c821754d505b5494619df1b3_1_1 | df63be3c847ea0218978c8ca0bd80c834b338423465f220626d7bbc6be1cd06c |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is the maximum value of n.
You are given a positive integer number n. You really love good numbers so you want to find the smallest good number greater than or equal to n.
The positive integer is called good if it can be represent... | Step 1: The problem requires us to find the smallest good number greater than or equal to the given number. A good number is a positive integer that can be represented as a sum of distinct powers of 3 (i.e., no duplicates of powers of 3 are allowed).
Step 2: We can use a greedy algorithm to find the smallest good num... | 6588efa8a60e40b1b48e54e12d03eb560441458d7ee2972fe429bbd5e1e705e5_1_1 | 335b5d71521aa9807a90002da9624596d20dd4b6691e0d8301db2a5ca39a3d51 |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is the maximum value of n.
You are given a positive integer number n. You really love good numbers so you want to find the smallest good number greater than or equal to n.
The positive integer is called good if it can be represent... | Step 1: The function ternary() takes an integer n and converts it to its ternary representation.
Step 2: The given integer n should be converted to its corresponding sum of distinct powers of 3, such that the resulting number is the smallest good number greater than or equal to n.
Step 3: The problem statement provi... | 87fe31d277bf9ff5d80a4ada4fd7fea1604c677e78c2238a97ef3fe4559719d3_1_1 | 335b5d71521aa9807a90002da9624596d20dd4b6691e0d8301db2a5ca39a3d51 |
Coding | codecontest | Write Python code to solve the task.
VK news recommendation system daily selects interesting publications of one of n disjoint categories for each user. Each publication belongs to exactly one category. For each category i batch algorithm selects a_i publications.
The latest A/B test suggests that users are reading re... | Step 1: The given problem requires finding the minimum total time necessary to add publications to the result of batch algorithm execution so that all news categories have a different number of publications.
Step 2: We are given the number of news categories, the number of publications for each category selected by t... | 782a5a29f245c337c721d7a63f03e9587a1ba336c91eaa627f036f90ba53a9d3_1_1 | 6866156e070df436d19b576e66e0888ef07cdbe1495edd83bf96d195a4250324 |
Coding | codecontest | Write Python code to solve the task.
VK news recommendation system daily selects interesting publications of one of n disjoint categories for each user. Each publication belongs to exactly one category. For each category i batch algorithm selects a_i publications.
The latest A/B test suggests that users are reading re... | Step 1: This problem involves finding the minimum total time necessary to add publications so that all categories have a different number of publications.
Step 2: The basic strategy involves using a priority queue to keep track of the time it takes to find a new publication for each category. The priority queue will ... | 5cfbe9e57c4323e7e6f73d0b8193be40d7a5475f0a499d2b0abf0f3bc4a3e29b_1_1 | 6866156e070df436d19b576e66e0888ef07cdbe1495edd83bf96d195a4250324 |
Coding | codecontest | Write Python code to solve the task.
Let's consider equation:
x2 + s(x)Β·x - n = 0,
where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system.
You are given an integer n, find the smallest positive integer root of equation x, or else determine that th... | Step 1: To solve this problem, we need to find the smallest positive integer root of the given equation x^2 + s(x) * x - n = 0, or determine that there are no such roots.
Step 2: In this solution, the use of binary search and iteration is implemented to find the value of x.
Step 3: We can first read the integer inpu... | ac66dbdf46c86ae6343b01c4dd6c4d65c27def1e116cfbdb51015b8452580c70_1_1 | 87e0736ad8e7270dffc0b95d96b39bf7e38c08d9bfaf1b02ca29e9a1025bd2a0 |
Coding | codecontest | Write Python code to solve the task.
Let's consider equation:
x2 + s(x)Β·x - n = 0,
where x, n are positive integers, s(x) is the function, equal to the sum of digits of number x in the decimal number system.
You are given an integer n, find the smallest positive integer root of equation x, or else determine that th... | Step 1: The problem asks us to find the smallest positive integer root of an equation given a parameter n.
Step 2: We're also given a function s(x), which is equal to the sum of the digits of number x in the decimal number system.
Step 3: Our task is to determine if there are any positive integer roots for the equat... | 20679d732f596abdeb1043c4115e3e17df7ad7afbad7c72958c13cfd319a909d_1_1 | 87e0736ad8e7270dffc0b95d96b39bf7e38c08d9bfaf1b02ca29e9a1025bd2a0 |
Coding | codecontest | Write Python code to solve the task.
β Oh my sweet Beaverette, would you fancy a walk along a wonderful woodland belt with me?
β Of course, my Smart Beaver! Let us enjoy the splendid view together. How about Friday night?
At this point the Smart Beaver got rushing. Everything should be perfect by Friday, so he need... | Step 1: Looking at the problem, the Smart Beaver needs the total esthetic appeal to be a maximum and have the esthetic appeal of the first and last trees to be the same after cutting down some trees.
Step 2: He cannot cut down all the "ugly" trees at the beginning, and he must leave at least two trees in the belt.
S... | 69eaa638844e1d5add725e642888b36a25816282185572c03d65b2d34a6fafe8_1_1 | c78b19c43d9c5d1b5d7f4ce87557973c4df58632bcc9becec5a207cb4379de0f |
Coding | codecontest | Write Python code to solve the task.
β Oh my sweet Beaverette, would you fancy a walk along a wonderful woodland belt with me?
β Of course, my Smart Beaver! Let us enjoy the splendid view together. How about Friday night?
At this point the Smart Beaver got rushing. Everything should be perfect by Friday, so he need... | Step 1: To solve this problem, we need to find a sequence of trees that will maximize the sum of their esthetic appeal.
Step 2: The sequence must also have equal esthetic appeal at the beginning and end.
Step 3: We'll have to identify the trees that need to be cut down to achieve this objective.
Step 4: The Smart ... | 6672aaba39b0a66b1783868d09c29054dc2818cedcb11c4a8c39e889aa365c5b_1_1 | c78b19c43d9c5d1b5d7f4ce87557973c4df58632bcc9becec5a207cb4379de0f |
Coding | codecontest | Write Python code to solve the task.
Chinna is preparing for an online entrance examination. The performance in the examination is measured on a rating scale of 1 to 10^6. Recently, Chinna came across an advertisement of an institution which guarantees an increase of 'd' in the rating for an examination for an hour of ... | Step 1: To solve this problem, we need to figure out the total time Chinna needs to put on coaching in order to excel in each examination.
Step 2: We will first consider the increase in the rating for each examination, and the expected ratings in each test.
Step 3: Next, we will calculate the minimum time needed for... | a5cc1a5f6a6862fc8acaf324c65c3d241c8c4695e4931c47b066c9dae8c95825_1_1 | 3968cfa74f6a345fbe29213ae3bea0ec10ac6eff55c66905705d2d18eeadc899 |
Coding | codecontest | Write Python code to solve the task.
Chinna is preparing for an online entrance examination. The performance in the examination is measured on a rating scale of 1 to 10^6. Recently, Chinna came across an advertisement of an institution which guarantees an increase of 'd' in the rating for an examination for an hour of ... | Step 1: To solve this problem, we need to calculate the total number of hours of coaching required for Chinna to achieve his target rating for each examination.
Step 2: We can start by iterating through the ratings for each examination and calculating the progress needed to reach the target rating.
Step 3: If the pr... | b8205453f162758d140e0b74c08230213f0d527616564db88d44ee75c4e6651b_1_1 | 3968cfa74f6a345fbe29213ae3bea0ec10ac6eff55c66905705d2d18eeadc899 |
Coding | codecontest | Write Python code to solve the task.
A median of an array of integers of length n is the number standing on the β {n/2} β (rounding up) position in the non-decreasing ordering of its elements. Positions are numbered starting with 1. For example, a median of the array [2, 6, 4, 1, 3, 5] is equal to 3. There exist some o... | Step 1: The code starts by importing necessary libraries and setting up the I/O buffer for efficient output handling.
Step 2: The function f is the main logic for finding the maximum possible sum of medians of all k arrays. It uses a deque to efficiently manage the elements and their order in the sorted input array.
... | 8170c806cdcc0d2400ab2468eed57f9cc742f69fb94b21938a1855e6dc4075f8_1_1 | 526893ec0be3a120511ab23d8902988e1a519d80f1ab6175aa85102b959d3f1c |
Coding | codecontest | Write Python code to solve the task.
A median of an array of integers of length n is the number standing on the β {n/2} β (rounding up) position in the non-decreasing ordering of its elements. Positions are numbered starting with 1. For example, a median of the array [2, 6, 4, 1, 3, 5] is equal to 3. There exist some o... | Step 1: The problem requires finding the maximum possible sum of medians of all k arrays from a given non-decreasing array of nk integers.
Step 2: The solution needs to define a function to calculate the sum of the medians for each array and then output the maximum sum.
Step 3: We'll use sorting, deque, and iteratio... | d399d7f6342ef0e27d0753286c4df7de2fec8ca00e920d25b59cd69603d00bc8_1_1 | 526893ec0be3a120511ab23d8902988e1a519d80f1ab6175aa85102b959d3f1c |
Coding | codecontest | Write Python code to solve the task.
Polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got hold of lots of wooden cubes somewhere. They started making cube towers by placing the cubes one on top of the other. They defined multiple towers standing in a line as a wal... | Step 1: The general logic of the code seems to involve defining a function called "border" and then using it to calculate the number of segments in the bears' wall where Horace can "see an elephant".
Step 2: The "border" function seems to be focused on finding the matching segments between the elephant's wall and the... | 4541160ad0ba58e17739001124fcc0e940b95be8c0abae66a02cb972ec8e30aa_1_1 | 3905aaad688c363545a9d6547d4db73423de1956b17dc94274ee6fb28e988ec4 |
Coding | codecontest | Write Python code to solve the task.
Polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got hold of lots of wooden cubes somewhere. They started making cube towers by placing the cubes one on top of the other. They defined multiple towers standing in a line as a wal... | Step 1: The problem requires us to calculate the number of segments in the bear's wall where Horace can "see an elephant". This involves checking for contiguous segments in the bear's wall that match the sequence of heights in Horace's wall.
Step 2: We need to identify the logic and approach to detect these segments ... | c6f1dfd22786a2ab263b84aa1101948e65b42795019a5cb65f18bbebaf5f0b32_1_1 | 3905aaad688c363545a9d6547d4db73423de1956b17dc94274ee6fb28e988ec4 |
Coding | codecontest | Write Python code to solve the task.
You are given two arithmetic progressions: a1k + b1 and a2l + b2. Find the number of integers x such that L β€ x β€ R and x = a1k' + b1 = a2l' + b2, for some integers k', l' β₯ 0.
Input
The only line contains six integers a1, b1, a2, b2, L, R (0 < a1, a2 β€ 2Β·109, - 2Β·109 β€ b1, b2, L,... | Step 1: This problem involves calculating the number of integers x that satisfy the given arithmetic progression equations.
Step 2: We need to consider the constraints and the range of values for the input parameters.
Step 3: We should approach this problem by breaking it down into smaller subproblems, taking the ap... | dda4587291a22a2e71ba95e2c19b138825248510610f3b2d25325f72bc6315e4_1_1 | ed0710d38104f74505a422b2eac7c3ec8632302b5b60779e46afa06b89eca5e9 |
Coding | codecontest | Write Python code to solve the task.
You are given two arithmetic progressions: a1k + b1 and a2l + b2. Find the number of integers x such that L β€ x β€ R and x = a1k' + b1 = a2l' + b2, for some integers k', l' β₯ 0.
Input
The only line contains six integers a1, b1, a2, b2, L, R (0 < a1, a2 β€ 2Β·109, - 2Β·109 β€ b1, b2, L,... | Step 1: The problem is to find the number of integers x such that L β€ x β€ R and x = a1k' + b1 = a2l' + b2, for some integers k', l' β₯ 0.
Step 2: To solve this problem, we need to understand arithmetic progressions and how to represent them in terms of a1, b1, a2, b2, L, and R.
Step 3: We are also given an implementa... | 81b8242bac1c1e64afc668549d29ef5c305b1bbaa032349092f20364bb3273e3_1_1 | ed0710d38104f74505a422b2eac7c3ec8632302b5b60779e46afa06b89eca5e9 |
Coding | codecontest | Write Python code to solve the task.
A game field is a strip of 1 Γ n square cells. In some cells there are Packmen, in some cells β asterisks, other cells are empty.
Packman can move to neighboring cell in 1 time unit. If there is an asterisk in the target cell then Packman eats it. Packman doesn't spend any time to ... | Step 1: The problem requires finding the minimum time after which Packmen can eat all the asterisks.
Step 2: We can iterate through the given game field and determine the distance between the Packmen and the asterisks.
Step 3: Additionally, we can use binary search to find the minimum time required for Packmen to ea... | 21d37a91497c3de6699d37180422a615c8b2114894442f49c4329a2f010f6daf_1_1 | 4ffecee31c36bbbf6e6c492b55b52bb07a307b1d7ec38c65f762b1dd423394a0 |
Coding | codecontest | Write Python code to solve the task.
A game field is a strip of 1 Γ n square cells. In some cells there are Packmen, in some cells β asterisks, other cells are empty.
Packman can move to neighboring cell in 1 time unit. If there is an asterisk in the target cell then Packman eats it. Packman doesn't spend any time to ... | Step 1: The problem is asking us to determine the minimum time after which the packmen can eat all the asterisks on the game field.
Step 2: To solve this, we want to calculate the time taken for the packmen to eat all the asterisks.
Step 3: We can use a binary search approach to find the minimum time required for th... | 487004fbda1c6d7da644aba6d9bc99f9937b339b5018c85e83448272ab28ac83_1_1 | 4ffecee31c36bbbf6e6c492b55b52bb07a307b1d7ec38c65f762b1dd423394a0 |
Coding | codecontest | Write Python code to solve the task.
Areas on the Cross-Section Diagram
Your task is to simulate a flood damage.
For a given cross-section diagram, reports areas of flooded sections.
<image>
Assume that rain is falling endlessly in the region and the water overflowing from the region is falling in the sea at the ... | Step 1: To solve this problem, we need to process the provided string to identify flooded sections based on slopes and flatlands.
Step 2: We can iterate through the string and track the indices where the slopes change from "\\" to "/" and calculate the area flooded between the two slopes.
Step 3: We need to keep tra... | 671ae5577aedcddb600d0ef33211d19d48152942c329d93d3870091998ac03b2_1_1 | d764d19f681aa55feefc55be23f755b1fca601c39f2a50dbb96a09353a89f98a |
Coding | codecontest | Write Python code to solve the task.
Areas on the Cross-Section Diagram
Your task is to simulate a flood damage.
For a given cross-section diagram, reports areas of flooded sections.
<image>
Assume that rain is falling endlessly in the region and the water overflowing from the region is falling in the sea at the ... | Step 1: The task requires us to simulate a flood damage according to a given cross-section diagram and report the areas of flooded sections.
Step 2: We can create a solution to iterate through the cross-section diagram, calculate the areas of flooded sections, and report the areas in the required format.
Step 3: To ... | 180c78e5768b3f6d7d8f473cd0af8dd5a00673853dc3014f3fae39b868a0640f_1_1 | d764d19f681aa55feefc55be23f755b1fca601c39f2a50dbb96a09353a89f98a |
Coding | codecontest | Write Python code to solve the task.
Vasya has recently finished writing a book. Now he faces the problem of giving it the title. Vasya wants the title to be vague and mysterious for his book to be noticeable among others. That's why the title should be represented by a single word containing at least once each of the ... | Step 1: To solve this problem, we need to replace the question marks in the given title template with lowercase Latin letters to satisfy certain conditions.
Step 2: We need to make the title a palindrome, containing at least once each of the first k Latin letters (lowercase), and not containing any other ones.
Step 3... | 3e4eb4fd685b667ec9c9ed70671ffc609f96be654ec5df0328b05c3064acf4a0_1_1 | f1e4f874e563601d6cafeb0ae15cdd809285094bfd99a85180a9524cf56e827f |
Coding | codecontest | Write Python code to solve the task.
Vasya has recently finished writing a book. Now he faces the problem of giving it the title. Vasya wants the title to be vague and mysterious for his book to be noticeable among others. That's why the title should be represented by a single word containing at least once each of the ... | Step 1: The problem requires us to find a palindrome word made of the first k letters of the Latin alphabet and the current word template.
Step 2: We need to replace each '?' by a letter from the Latin alphabet in the template string. We can also check if the resulting word is a palindrome.
Step 3: We'll use a set o... | 33490baf674aa859d5c900780adfcae06c388d8f9c0a0ed44955a8b3960b4621_1_1 | f1e4f874e563601d6cafeb0ae15cdd809285094bfd99a85180a9524cf56e827f |
Coding | codecontest | Write Python code to solve the task.
Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n.
Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, where d represents such a maximal positive... | Step 1: The problem requires finding a set of distinct positive numbers where the greatest common divisor (GCD) of any pair of numbers is not equal to 1.
Step 2: We can start by generating a list of prime numbers up to a certain limit.
Step 3: Then, we can calculate the product of the first n prime numbers to achiev... | 3f1a907a2d41a83337622a4b6e2fa90300f8e132deb43f2904bd033989e35f9b_1_1 | 660b8a3c56cea4f35249e8553d8a6f454b873bbf83a47f1c788986690891c4dc |
Coding | codecontest | Write Python code to solve the task.
Little Petya has a birthday soon. Due this wonderful event, Petya's friends decided to give him sweets. The total number of Petya's friends equals to n.
Let us remind you the definition of the greatest common divisor: GCD(a1, ..., ak) = d, where d represents such a maximal positive... | Step 1: To solve this problem, we need to generate a set of n distinct positive numbers, where the greatest common divisor (GCD) of any pair of numbers is not equal to 1, and the GCD of all numbers is equal to 1.
Step 2: We can start by implementing a GCD function to find the GCD of two numbers, which will be useful ... | 9721c9b466746c2c896c02b3945a5a5467360d0d048dcba1d987b194d31c3f26_1_1 | 660b8a3c56cea4f35249e8553d8a6f454b873bbf83a47f1c788986690891c4dc |
Coding | codecontest | Write Python code to solve the task.
You are given a string s consisting of exactly n characters, and each character is either '0', '1' or '2'. Such strings are called ternary strings.
Your task is to replace minimum number of characters in this string with other characters to obtain a balanced ternary string (balance... | Step 1: We need to obtain the lexicographically smallest balanced ternary string from the given input.
Step 2: We can start by counting the occurrences of '0', '1', and '2' in the input string and store the counts.
Step 3: Next, we can determine if there are any extra occurrences of a specific character in order to ... | e88edf1d498acc5e8d057480817d24580b4facd6ae368c6f41c7278fe1cfbb6f_1_1 | 0df66e02cbd0ae2901b18423a5541d75c1d509c5ff36c5f33e4f7b02461ff082 |
Coding | codecontest | Write Python code to solve the task.
You are given a string s consisting of exactly n characters, and each character is either '0', '1' or '2'. Such strings are called ternary strings.
Your task is to replace minimum number of characters in this string with other characters to obtain a balanced ternary string (balance... | Step 1: The problem requires finding the lexicographically smallest balanced ternary string from the given input string.
Step 2: We can start by counting the occurrences of each character and then replacing the characters to make the string balanced and lexicographically smallest.
Step 3: We'll iterate through the s... | 34c4445b988972b8e86b428d0a3eebd8f5a4a234af5ad58f9b2515631d1f09b2_1_1 | 0df66e02cbd0ae2901b18423a5541d75c1d509c5ff36c5f33e4f7b02461ff082 |
Coding | codecontest | Write Python code to solve the task.
Inna and Dima decided to surprise Sereja. They brought a really huge candy matrix, it's big even for Sereja! Let's number the rows of the giant matrix from 1 to n from top to bottom and the columns β from 1 to m, from left to right. We'll represent the cell on the intersection of th... | Step 1: The problem involves rotating a matrix and altering the coordinates of a point within the matrix based on the rotation.
Step 2: We need to define three different functions for clockwise, horizontal, and counterclockwise rotations of the matrix. Each function will alter the coordinates of a point in the origin... | 88f94746cd4f4f3875b95601473c31b5d7025546187866b12d30702e05b55d12_1_1 | 08fd609c77585efa687cb99ca1689495f2e3d04c6dcb30ed42fa5a8094ddca49 |
Coding | codecontest | Write Python code to solve the task.
Inna and Dima decided to surprise Sereja. They brought a really huge candy matrix, it's big even for Sereja! Let's number the rows of the giant matrix from 1 to n from top to bottom and the columns β from 1 to m, from left to right. We'll represent the cell on the intersection of th... | Step 1:
The given problem involves performing a series of rotations and reflections on a candy matrix and then finding the new coordinates of the candies within the transformed matrix. We can start by implementing functions to handle each type of rotation and reflection (clockwise, counterclockwise, and horizontal). T... | 93c89ddc6ce215f4a461af8347895d844df61f910ed24ce569f1c37d0a590c2b_1_1 | 08fd609c77585efa687cb99ca1689495f2e3d04c6dcb30ed42fa5a8094ddca49 |
Coding | codecontest | Write Python code to solve the task.
Whereas humans nowadays read fewer and fewer books on paper, book readership among marmots has surged. Heidi has expanded the library and is now serving longer request sequences.
Input
Same as the easy version, but the limits have changed: 1 β€ n, k β€ 400 000.
Output
Same as the ... | Step 1: This problem involves simulating the process of book melting in a library based on a given sequence of book requests.
Step 2: We need to model the library, book melting process, and keep track of the cost of the book melts.
Step 3: To solve this problem, we'll need to organize and manage the data related to ... | b1bf435527399f82f19a9033207585b66d9d52d3db62935c39bc71fe484dfb45_1_1 | e49132ea161f6618560af4ad8df9a636c9b9244766f0338d99e4ba74510c6258 |
Coding | codecontest | Write Python code to solve the task.
Whereas humans nowadays read fewer and fewer books on paper, book readership among marmots has surged. Heidi has expanded the library and is now serving longer request sequences.
Input
Same as the easy version, but the limits have changed: 1 β€ n, k β€ 400 000.
Output
Same as the ... | Step 1:
The problem seems to involve a simulation of managing a library and tracking the use of books. It appears to use a data structure and heap queue implementation. The solution likely involves maintaining a list of active books and updating their positions based on user requests, as well as keeping track of book ... | 4e7a51ca108eb0993d8b2929edbc98c94b59d527d90412c2f3aa3eca3a26c6ed_1_1 | e49132ea161f6618560af4ad8df9a636c9b9244766f0338d99e4ba74510c6258 |
Coding | codecontest | Write Python code to solve the task.
Darshak (Dark) likes to get fruits from trees a lot,he always like to eat those natural fruits directly from the tree.
Today he has an infinite full binary tree (each node has exactly two child's) with special properties.
Dark's tree has the following special properties :
Each node... | Step 1: To help Dark accomplish this task, we need to understand how to traverse the binary tree from a given node x to node y and calculate the value of goodness during the traversal.
Step 2: We can start by implementing helper functions to check if a number is prime, convert a given node to its path to the root, me... | 6573b8d5a8bff91d513c9c07d8c8d85100c2ff9c2e1d40d8690b74d97220defe_1_1 | 5ca499c840d6e84518cc8ec3e290f8df692e7898b11dc62cf0d8d7d2755251d5 |
Coding | codecontest | Write Python code to solve the task.
Darshak (Dark) likes to get fruits from trees a lot,he always like to eat those natural fruits directly from the tree.
Today he has an infinite full binary tree (each node has exactly two child's) with special properties.
Dark's tree has the following special properties :
Each node... | Step 1: To solve this problem, we need to understand how to traverse the binary tree and calculate the value of goodness on each node.
Step 2: We can start by identifying the special properties of the binary tree and how the values are labeled on each node based on the existing node value.
Step 3: Next, we can imple... | c92ee0cd26d3246d5b79988eaae01ae13b539f04ab6d2b2bc9a3f4a1115a6a5f_1_1 | 5ca499c840d6e84518cc8ec3e290f8df692e7898b11dc62cf0d8d7d2755251d5 |
Coding | codecontest | Write Python code to solve the task.
A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not.
You are g... | Step 1: The problem requires finding the lexicographically smallest string among the shortest strings consisting of lowercase English letters that are not subsequences of A.
Step 2: We are given a string A and we need to find the shortest string that is not a subsequence of A.
Step 3: We can solve this problem by en... | 62578dc637111325bf94190760d33c83aee99e9efcae3963c433c6ee841c6470_1_1 | c2e40e3f678f6abebeba89607e404fdbda32504885ad1b1927a4c3bdddf8f587 |
Coding | codecontest | Write Python code to solve the task.
A subsequence of a string S is a string that can be obtained by deleting zero or more characters from S without changing the order of the remaining characters. For example, `arc`, `artistic` and (an empty string) are all subsequences of `artistic`; `abc` and `ci` are not.
You are g... | Step 1: To solve this problem, we need to identify the subsequences of the given string A and find the lexicographically smallest string that is not a subsequence of A.
Step 2: We can use dynamic programming to identify the subsequences of A and keep track of the lexicon smallest string that is not a subsequence.
Ste... | 541ffddd692195f7754e6c5f76e875ac058cb969bf67d98ee01768e41521828c_1_1 | c2e40e3f678f6abebeba89607e404fdbda32504885ad1b1927a4c3bdddf8f587 |
Coding | codecontest | Write Python code to solve the task.
You are given a tree (an undirected connected acyclic graph) consisting of n vertices. You are playing a game on this tree.
Initially all vertices are white. On the first turn of the game you choose one vertex and paint it black. Then on each turn you choose a white vertex adjacent... | Step 1: The problem describes a game on a tree where the goal is to maximize the number of points gained.
Step 2: The game involves choosing a vertex, painting it black, and then gaining points based on the size of the connected component consisting only of white vertices that contains the chosen vertex.
Step 3: To ... | ee2bf4db22ab6943d9bf1ba20a5d9a8de0da00ffa57ba991f36abde28c100d48_1_1 | 7811ef001bd3812980a4b2a4c9d8f104918989cd791644ba4c3fe4bd01e78c66 |
Coding | codecontest | Write Python code to solve the task.
You are given a tree (an undirected connected acyclic graph) consisting of n vertices. You are playing a game on this tree.
Initially all vertices are white. On the first turn of the game you choose one vertex and paint it black. Then on each turn you choose a white vertex adjacent... | Step 1: The problem requires us to find the maximum number of points that can be gained by selecting a vertex and painting it black.
Step 2: We can maximize the points by selecting the vertices in a way that maximizes the points gained for each turn.
Step 3: To achieve this, we need to calculate the connected compo... | ca39fb91e724af60966dc276f91ee05b80666cb5fc1d61c72575cc5813299f44_1_1 | 7811ef001bd3812980a4b2a4c9d8f104918989cd791644ba4c3fe4bd01e78c66 |
Coding | codecontest | Write Python code to solve the task.
One day Anna got the following task at school: to arrange several numbers in a circle so that any two neighboring numbers differs exactly by 1. Anna was given several numbers and arranged them in a circle to fulfill the task. Then she wanted to check if she had arranged the numbers ... | Step 1: The problem asks us to check if Anna could have hypothetically completed the task of arranging the numbers in a circle so that any two neighboring numbers differ exactly by 1.
Step 2: To solve the problem, we need to iterate through the input numbers and build a dictionary that counts the occurrences of each ... | d83a3e4a4521030c9eb3ec06eab8755b6c79ebdcc19ae8c1f2e550e7a888f736_1_1 | 67f91dc49482e59b95bd5eceee968f156d6481c7a6a8ff67b09daaccd873e00d |
Coding | codecontest | Write Python code to solve the task.
One day Anna got the following task at school: to arrange several numbers in a circle so that any two neighboring numbers differs exactly by 1. Anna was given several numbers and arranged them in a circle to fulfill the task. Then she wanted to check if she had arranged the numbers ... | Step 1: To solve this problem, we need to check if Anna could hypothetically complete the task correctly using all the given numbers.
Step 2: We can start by processing the given numbers and checking if it's possible to arrange them in a circle so that any two neighboring numbers differ by exactly 1.
Step 3: We'll u... | 3af22951757f809d85d869f6b5cb54c3c131a64228380d6f54ee9db6cf41ed46_1_1 | 67f91dc49482e59b95bd5eceee968f156d6481c7a6a8ff67b09daaccd873e00d |
Coding | codecontest | Write Python code to solve the task.
Vivek likes strings a lot but moreover he likes Awesome strings. Vivek calls a string str Awesome if zero or more letters of the string str can be rearranged to form the string "HackerEarth" (case insensitive). For eg : strings HackerEarth , Earthhacker , haeackerrth are all Awesome... | Step 1: The problem requires finding the number of Awesome strings for given queries. An Awesome string is a string that can be rearranged to form "HackerEarth".
Step 2: We need to take Vivek's string and process the queries to check for Awesome strings within the given indices.
Step 3: The given solution calculates... | 76b8e2c421d1f2d030efc2e4d645e0bd8c518a707ffa6f00926fbcaa52a5a28a_1_1 | 74783279413d7cd720fd41d7ac0c0ed0118071bea5a5ad0a5e6e6caa531cf939 |
Coding | codecontest | Write Python code to solve the task.
Vivek likes strings a lot but moreover he likes Awesome strings. Vivek calls a string str Awesome if zero or more letters of the string str can be rearranged to form the string "HackerEarth" (case insensitive). For eg : strings HackerEarth , Earthhacker , haeackerrth are all Awesome... | Step 1: The problem requires determining the number of Awesome strings in a given string for different queries. An Awesome string is a rearrangement of the letters in the string "HackerEarth" (case insensitive). The solution involves keeping track of letter counts for every substring and counting possible Awesome stri... | d6bedd8bcad03a300af1cd700cba6c0d2ff85743ad08280448f081b6098e4ca4_1_1 | 74783279413d7cd720fd41d7ac0c0ed0118071bea5a5ad0a5e6e6caa531cf939 |
Coding | codecontest | Write Python code to solve the task.
Snuke is making sugar water in a beaker. Initially, the beaker is empty. Snuke can perform the following four types of operations any number of times. He may choose not to perform some types of operations.
* Operation 1: Pour 100A grams of water into the beaker.
* Operation 2: Pour... | Step 1: The given code takes input values for A, B, C, D, E, and F to calculate the mass of the desired sugar water and the mass of sugar dissolved in it.
Step 2: The approach involves creating lists to track the sugar and water combinations that can be achieved within the given constraints
Step 3: Then, the maximum... | 7789e152bb1b952f86810bacd7c71c654de161554157bf86cf7726347ed48d76_1_1 | 12f735706934b7289bbac748e5c3d475336ad8ad69e480fa401420d073da26dd |
Coding | codecontest | Write Python code to solve the task.
Snuke is making sugar water in a beaker. Initially, the beaker is empty. Snuke can perform the following four types of operations any number of times. He may choose not to perform some types of operations.
* Operation 1: Pour 100A grams of water into the beaker.
* Operation 2: Pour... | Step 1: Based on the problem, we need to identify a strategy to maximize the sugar water density.
Step 2: We start by identifying the maximum amount of sugar that can be dissolved in F grams of substance.
Step 3: Then, we need to consider all possible combinations of sugar and water to find the ideal density.
Step 4... | 5b3003b63e79a601c9c53dbc7e07ebb863c747ed4d1ccd6702adb710b980e37e_1_1 | 12f735706934b7289bbac748e5c3d475336ad8ad69e480fa401420d073da26dd |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is constraints.
You are given a sequence a consisting of n positive integers.
Let's define a three blocks palindrome as the sequence, consisting of at most two distinct elements (let these elements are a and b, a can be equal b) a... | Step 1: The question asks us to find the maximum possible length of some subsequence of a that is a three blocks palindrome. To solve this, we can use dynamic programming to find the maximum length of a palindromic subsequence.
Step 2: We can iterate through the input sequence and build a 2D dynamic programming array... | faa6b6c91881707d0a07b381c8b08427ee5291e26b283be883dde3452432ef41_1_1 | 6e0841500fc4096ac7e99168d0191e7e6ef097d0273102d4bd04a42a2a85d9cb |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is constraints.
You are given a sequence a consisting of n positive integers.
Let's define a three blocks palindrome as the sequence, consisting of at most two distinct elements (let these elements are a and b, a can be equal b) a... | Step 1: The problem requires us to find the maximum length subsequence of a given sequence that is a three blocks palindrome.
Step 2: We can break this problem down into smaller subproblems, such as compressing the input sequence and computing the three block palindromes.
Step 3: We can adopt a dynamic programming a... | 377787931088ce6b512c8cd2532bb64d41406730025d6923f6ad33cf32fcca7e_1_1 | 6e0841500fc4096ac7e99168d0191e7e6ef097d0273102d4bd04a42a2a85d9cb |
Coding | codecontest | Write Python code to solve the task.
You are given a tree with n vertices. You are allowed to modify the structure of the tree through the following multi-step operation:
1. Choose three vertices a, b, and c such that b is adjacent to both a and c.
2. For every vertex d other than b that is adjacent to a, remove ... | Step 1: The problem requires us to find the minimum number of operations needed to transform a given tree into a star, which is a tree with one vertex of degree n - 1 and n - 1 vertices of degree 1.
Step 2: We can solve this problem by considering the tree as a graph and using a breadth-first search (BFS) to traverse... | bd696362c1732979fb411fcda7ed7bfc9f8a45294f297f1dcd84dc0400e32314_1_1 | 6737f5a32f3fcb0bf9cea35b5a15a5fc4807a01fbf8907521d6682192d8559a6 |
Coding | codecontest | Write Python code to solve the task.
You are given a tree with n vertices. You are allowed to modify the structure of the tree through the following multi-step operation:
1. Choose three vertices a, b, and c such that b is adjacent to both a and c.
2. For every vertex d other than b that is adjacent to a, remove ... | Step 1: The problem requires finding the minimum number of operations needed to transform a given tree into a star tree.
Step 2: A star tree is a tree with one vertex of degree n - 1 and n - 1 vertices of degree 1, this means that all vertices are connected to a single central vertex.
Step 3: To solve this problem, ... | 74015a14857defe4d019c64a3208a59fb46d3df846edf87ac8d0e161354a5a12_1_1 | 6737f5a32f3fcb0bf9cea35b5a15a5fc4807a01fbf8907521d6682192d8559a6 |
Coding | codecontest | Write Python code to solve the task.
Polycarp plans to conduct a load testing of its new project Fakebook. He already agreed with his friends that at certain points in time they will send requests to Fakebook. The load testing will last n minutes and in the i-th minute friends will send ai requests.
Polycarp plans to ... | Step 1: The problem requires us to find the minimal number of additional requests needed to make the load testing result in a strictly increasing load followed by a strictly decreasing load.
Step 2: To solve this problem, we can start by iterating through the array of load requests and calculate the suitable number o... | 12221ca0dfd28cfe4a72fe57c8e61326759b230ca1b5c64f1963e588b2755c13_1_1 | 0a18388a4ef6fb7c2daa59806ecd904ff1cb9b67c7e693db4eb25017f424f797 |
Coding | codecontest | Write Python code to solve the task.
Polycarp plans to conduct a load testing of its new project Fakebook. He already agreed with his friends that at certain points in time they will send requests to Fakebook. The load testing will last n minutes and in the i-th minute friends will send ai requests.
Polycarp plans to ... | Step 1: The given problem requires finding the minimum number of additional requests that Polycarp must make so that the resulting load strictly increases in the beginning and then strictly decreases afterwards.
Step 2: To solve this problem, we can traverse through the list of requests and compute two arrays, one th... | 84cb527ae990b6618f824b8ef12a0fe444411ce98eba117e39a9c8f8601b2a0f_1_1 | 0a18388a4ef6fb7c2daa59806ecd904ff1cb9b67c7e693db4eb25017f424f797 |
Coding | codecontest | Write Python code to solve the task.
Travelling by train is fun and exciting. But more than that indeed. Young challenging boys often tried to purchase the longest single tickets and to single ride the longest routes of various railway systems. Route planning was like solving puzzles. However, once assisted by computer... | Step 1:
The problem requires finding the length of the longest path and to form the corresponding list of stations on the path for each system. The longest path starts from one station and, after travelling many direct routes as far as possible without passing any direct route more than once, arrives at a station whic... | 7f60309121fe3f40e5a5162234963308c57691bded5b6ae2d38b325107faa978_1_1 | 2ebe544f9a13027612fc6468c742a7360570e369240031d8e1229d8b67d92a51 |
Coding | codecontest | Write Python code to solve the task.
Travelling by train is fun and exciting. But more than that indeed. Young challenging boys often tried to purchase the longest single tickets and to single ride the longest routes of various railway systems. Route planning was like solving puzzles. However, once assisted by computer... | Step 1: The problem is asking us to find the longest path and the corresponding list of stations, as well as the distance of that path, for a given railway system.
Step 2: To solve this problem, we need to use a depth-first search algorithm to traverse the graph of the railway system and find the longest paths.
Step ... | 371818852ef35fdfc23c7b99920a1d7c0497fb7138f268e0841ca790a613bcc5_1_1 | 2ebe544f9a13027612fc6468c742a7360570e369240031d8e1229d8b67d92a51 |
Coding | codecontest | Write Python code to solve the task.
curtain
Summer is coming soon. You decide to redecorate your room for the summer. It is expected that the sun will be very strong this summer, and it will be a difficult season for you who are not good at dazzling. So you thought about installing a curtain on the window of the room... | Step 1: This script appears to read the input values and compute the area of the window not covered by the curtain.
Step 2: It seems to use a series of calculations with coordinates to find the overlapping region between the window and the curtain.
Step 3: This seems to involve the processing of the input coordinat... | c578f8cc2385b2d0802b671d3895b1daba7dcb8599df28fd4c60421fdab04b88_1_1 | 06d04131ebeade41ed3dfaa848624b2f5af921a1d43437b83a15e625814562cf |
Coding | codecontest | Write Python code to solve the task.
curtain
Summer is coming soon. You decide to redecorate your room for the summer. It is expected that the sun will be very strong this summer, and it will be a difficult season for you who are not good at dazzling. So you thought about installing a curtain on the window of the room... | Step 1:
The problem involves processing multiple datasets, where each dataset consists of the number of vertices of a window, the coordinates of the vertices of the window, the coordinates of the vertices of the curtain, and making calculations to determine the area of the window not covered by the curtain.
Processin... | 4e8c7b332928ed2b423f42982a0bea736a6232e9d1a925c1b8f9f0e555e373f2_1_1 | 06d04131ebeade41ed3dfaa848624b2f5af921a1d43437b83a15e625814562cf |
Coding | codecontest | Write Python code to solve the task.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successiv... | Step 1: This problem requires finding the minimum possible total cost to obtain a set S of size k from a given string.
Step 2: We need to create subsequences of the given string and add them to the set S. Then we need to calculate the cost of each subsequence.
Step 3: To solve this, we can use dynamic programming t... | 86917b5a0fb26943e98e5bd5f2b716e6ab07982745baeb48d292353af7d4f5a9_1_1 | e7960c5be0ff0adde106ad3ba1673e047a0d3b7e812288533112496776124491 |
Coding | codecontest | Write Python code to solve the task.
The only difference between the easy and the hard versions is constraints.
A subsequence is a string that can be derived from another string by deleting some or no symbols without changing the order of the remaining symbols. Characters to be deleted are not required to go successiv... | Step 1: The problem is asking to find the minimum possible total cost to obtain a set S of size k or report that it is impossible to do so.
Step 2: We need to understand how to generate subsequences of the given string and how to find the cost associated with each subsequence.
Step 3: The computation involves a dyna... | c6ab6fa520767539c7dca84514c53fb51213d1c2b35a5aa652e7c72a6ce7ea55_1_1 | e7960c5be0ff0adde106ad3ba1673e047a0d3b7e812288533112496776124491 |
Coding | codecontest | Write Python code to solve the task.
Jon Snow is on the lookout for some orbs required to defeat the white walkers. There are k different types of orbs and he needs at least one of each. One orb spawns daily at the base of a Weirwood tree north of the wall. The probability of this orb being of any kind is equal. As the... | Step 1: To solve this problem, we need to understand how to calculate the probability of getting at least one of each kind of orb over time.
Step 2: We also need to handle multiple queries for different probabilities.
Step 3: The provided code uses a probabilistic approach to calculate the number of days required to... | 0abbf2390e628157bde4cc5db312969d41751484e5509a715a3f1af1632b0617_1_1 | 5106298dccd2f07211a32764aefab85f1901d985c497eb40ec3070296007f4a6 |
Coding | codecontest | Write Python code to solve the task.
Jon Snow is on the lookout for some orbs required to defeat the white walkers. There are k different types of orbs and he needs at least one of each. One orb spawns daily at the base of a Weirwood tree north of the wall. The probability of this orb being of any kind is equal. As the... | Step 1: To solve this problem, we need to calculate the minimum number of days Jon Snow should wait before sending a ranger to collect the orbs such that the probability of him getting at least one of each kind of orb is at least Ξ΅.
Step 2: We are given the number of different kinds of orbs and the number of queries.... | 8a9fd950f8b8e0dbb0b84ad572c756d724a24de5a9da68f42d651911cff4d40d_1_1 | 5106298dccd2f07211a32764aefab85f1901d985c497eb40ec3070296007f4a6 |
Coding | codecontest | Write Python code to solve the task.
Sagheer is playing a game with his best friend Soliman. He brought a tree with n nodes numbered from 1 to n and rooted at node 1. The i-th node has ai apples. This tree has a special property: the lengths of all paths from the root to any leaf have the same parity (i.e. all paths ha... | Step 1: The problem requires creating an algorithm to determine the number of different pairs of nodes (u, v), u β v for which Sagheer can win the game after swapping the apples of both nodes.
Step 2: There are multiple helper functions defined to assist with the operations required to keep track of nodes and determi... | ce405c23ca09ec8fdd22796e062314e2250d301f07220699cc81880e5136f26a_1_1 | 3744efc17d77ed960a15818520b702be9ee3cb26817a79d99be3fa54b84cddaa |
Coding | codecontest | Write Python code to solve the task.
Sagheer is playing a game with his best friend Soliman. He brought a tree with n nodes numbered from 1 to n and rooted at node 1. The i-th node has ai apples. This tree has a special property: the lengths of all paths from the root to any leaf have the same parity (i.e. all paths ha... | Step 1: The problem requires counting the number of ways Sagheer can win the game after swapping the apples of two different nodes.
Step 2: We are given a tree with n nodes, where the lengths of all paths from the root to any leaf have the same parity.
Step 3: To solve this problem, we need to calculate the number o... | e63da3de224e9e8a78ebea964372726dd78e3cf053b4ddcfb8a4199b64e4ee77_1_1 | 3744efc17d77ed960a15818520b702be9ee3cb26817a79d99be3fa54b84cddaa |
Coding | codecontest | Write Python code to solve the task.
Consider a new order of english alphabets (a to z), that we are not aware of.
What we have though, dictionary of words, ordered according to the new order.
Our task is to give each alphabet a rank, ordered list of words.
The rank of an alphabet is the minimum integer R that can be ... | Step 1: To solve this problem, we need to compute the ranks of the alphabets based on the given ordered list of words.
Step 2: We can start by creating a graph where the alphabets are nodes and the relationship between alphabets is represented as edges in the graph.
Step 3: We then need to process the words to build... | 397a142a0438866e8687ca596d9c4686c6c9c892f2fd167c422e7c66caedcf08_1_1 | c5176c66f2574ae3ee098db6ee729c62f795f9aa13c6fec2324d273ea58090ba |
Coding | codecontest | Write Python code to solve the task.
Consider a new order of english alphabets (a to z), that we are not aware of.
What we have though, dictionary of words, ordered according to the new order.
Our task is to give each alphabet a rank, ordered list of words.
The rank of an alphabet is the minimum integer R that can be ... | Step 1: To solve this problem, we need to analyze the given words and the ordering of characters within the words to infer the ranking of each alphabet.
Step 2: We should observe the ordering of characters in the given words and compare them to derive the ranking of the alphabets.
Step 3: We'll also consider indirec... | 6858a31e057b3ed76bec58066e7f0451b16ec9f7189464095bdf9a7836834fcf_1_1 | c5176c66f2574ae3ee098db6ee729c62f795f9aa13c6fec2324d273ea58090ba |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is constraints.
Nauuo is a girl who loves random picture websites.
One day she made a random picture website by herself which includes n pictures.
When Nauuo visits the website, she sees exactly one picture. The website does not ... | Step 1: The problem involves computing the expected weights of pictures after a certain number of visits to a website, where the weights change based on whether the picture is liked or disliked.
Step 2: We need to handle the computation of expected weights based on the number of visits and the initial weights of the ... | aeabc198135f9b89a1c989bac5a09e21cf1ddc6519ae5ec75eaf18f34ead9741_1_1 | 1296ebf1e2f3e610ee82eb62afbc2558eb4c5ff92d4aaf56e5beabd7eae07c13 |
Coding | codecontest | Write Python code to solve the task.
The only difference between easy and hard versions is constraints.
Nauuo is a girl who loves random picture websites.
One day she made a random picture website by herself which includes n pictures.
When Nauuo visits the website, she sees exactly one picture. The website does not ... | Step 1: This problem requires us to calculate the expected weight of each picture after multiple visits to the website.
Step 2: We need to consider the probabilities of each picture being displayed, based on weights and Nauuo's preferences.
Step 3: To solve this problem, we can use modular arithmetic and probability... | a56e2c20eaff13446ac281e4e8dab2d0d7198e62cfbb89038edfe93c67869020_1_1 | 1296ebf1e2f3e610ee82eb62afbc2558eb4c5ff92d4aaf56e5beabd7eae07c13 |
Coding | codecontest | Write Python code to solve the task.
Permutation p is an ordered set of integers p1, p2, ..., pn, consisting of n distinct positive integers, each of them doesn't exceed n. We'll denote the i-th element of permutation p as pi. We'll call number n the size or the length of permutation p1, p2, ..., pn.
We'll call positi... | Step 1: The problem requires counting the number of permutations of length n with exactly k good positions.
Step 2: We need to find an approach to efficiently calculate the number of permutations satisfying the given condition.
Step 3: We can consider using dynamic programming to calculate and store the permutations... | 26ddd6b89868e02d945f0e0fc08a6063039ed090766f754dd0d8d851c8014e53_1_1 | 6e9724b16fdf6427d9b5e6a2333fc2f5704276c5b8053bc9ef9088f465612cb3 |
Coding | codecontest | Write Python code to solve the task.
Permutation p is an ordered set of integers p1, p2, ..., pn, consisting of n distinct positive integers, each of them doesn't exceed n. We'll denote the i-th element of permutation p as pi. We'll call number n the size or the length of permutation p1, p2, ..., pn.
We'll call positi... | Step 1: The provided code uses dynamic programming and modular arithmetic to solve the problem, following a mathematical approach to find the number of permutations with exactly k good positions.
Step 2: We need to understand the variables and their meanings, especially the arrays A, B, C, F, and G, which are used to... | afbb5ae7fb50491a80863bc966f83de9ae659a9e088405b31934b7cbff800aca_1_1 | 6e9724b16fdf6427d9b5e6a2333fc2f5704276c5b8053bc9ef9088f465612cb3 |
Coding | codecontest | Write Python code to solve the task.
When little Petya grew up and entered the university, he started to take part in ΠΠ‘Π contests. Later he realized that he doesn't like how the ΠΠ‘Π contests are organised: the team could only have three members (and he couldn't take all his friends to the competitions and distribute t... | Step 1: The problem is asking to form the team with as many players as possible without anyone who does not get along well.
Step 2: We need to simply check all possible combinations of teams from all volunteers and avoid pairs that do not get on.
Step 3: We need to find the combination with the maximum number of p... | 8dc541cfe011bedb446c571e1c900cca95b141e9da46d80f456d2d8dbdb011f1_1_1 | ebb6e4f49ec1f52713705aead76fa7bd96b7860be8fdabdfbf0f63b56bd3b3a0 |
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