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.
Student Andrey has been skipping physical education lessons for the whole term, and now he must somehow get a passing grade on this subject. Obviously, it is impossible to do this by legal means, but Andrey doesn't give up. Having obtained an empty certificate from a local hospital,... | Step 1: The problem requires us to determine if a forged signature matches a given pattern.Step 2: We need to iterate through each grid in the input, check if the grid can be matched to the pattern of a forged signature. If a grid can be matched to the pattern, then it's possible to forge the signature.Step 3: To ac... | 916a638a9e910253f10dfa3c30cffd89b96e1e61572f3e674a04bcde9d001414_1_1 | 177300d69e6d82eae7c0a54ebfd411a1cf78c7ab6c6ec09ab2f68fc819356254 |
Coding | codecontest | Write Python code to solve the task.
Student Andrey has been skipping physical education lessons for the whole term, and now he must somehow get a passing grade on this subject. Obviously, it is impossible to do this by legal means, but Andrey doesn't give up. Having obtained an empty certificate from a local hospital,... | Step 1: We need to check whether it's possible to forge the signature on an empty grid. We must look for 3x3 filled regions in the grid and determine if the pen can draw a 3x3 square without its central cell entirely inside the grid.Step 2: We'll iterate through the grid to look for 3x3 filled regions and simulate th... | a0244bbab055a1886fb402adff20116f9e9b7234907a85eaca24b6c9ceb5e0c7_1_1 | 177300d69e6d82eae7c0a54ebfd411a1cf78c7ab6c6ec09ab2f68fc819356254 |
Coding | codecontest | Write Python code to solve the task.
Student Andrey has been skipping physical education lessons for the whole term, and now he must somehow get a passing grade on this subject. Obviously, it is impossible to do this by legal means, but Andrey doesn't give up. Having obtained an empty certificate from a local hospital,... | Step 1: To solve this problem, we need to determine whether it is possible to forge the signature on an empty n x m grid.Step 2: We can start by defining a function to check if a specific 3x3 square can be painted on the grid in a way that matches the signature.Step 3: Then, we need to iterate through each cell of t... | 18cd45d728bfaf6b24942f2b1ff9b8a58b71dd86d5183c4fd83b1b3f425fc109_1_1 | 177300d69e6d82eae7c0a54ebfd411a1cf78c7ab6c6ec09ab2f68fc819356254 |
Coding | codecontest | Write Python code to solve the task.
Student Andrey has been skipping physical education lessons for the whole term, and now he must somehow get a passing grade on this subject. Obviously, it is impossible to do this by legal means, but Andrey doesn't give up. Having obtained an empty certificate from a local hospital,... | Step 1: The code is analyzing an input grid to determine if it is possible to create the 3x3 pattern using an ink pen.Step 2: The algorithm creates an empty grid as a placeholder and checks if the inked cells in the provided grid correspond to the 3x3 pattern.Step 3: It then uses a flag to determine if the cells in ... | 7a54798f5ada7f7b76b597a93a9fefff7347abc337c3ccdb7d7bc4093e427d79_1_1 | 177300d69e6d82eae7c0a54ebfd411a1cf78c7ab6c6ec09ab2f68fc819356254 |
Coding | codecontest | Write Python code to solve the task.
Student Andrey has been skipping physical education lessons for the whole term, and now he must somehow get a passing grade on this subject. Obviously, it is impossible to do this by legal means, but Andrey doesn't give up. Having obtained an empty certificate from a local hospital,... | Step 1: The problem involves determining whether a given signature can be forged on an empty grid by drawing 3x3 squares. Step 2: We'll need to iterate through each 3x3 square on the grid and check if it matches the signature. If it does, we can draw the square on an empty grid.Step 3: We should then compare the fin... | d834b1cb12ea9735ab556365e895da8899b72ada4a3723e88ad16a6e01527441_1_1 | 177300d69e6d82eae7c0a54ebfd411a1cf78c7ab6c6ec09ab2f68fc819356254 |
Coding | codecontest | Write Python code to solve the task.
A graph G = (V, E) is a data structure where V is a finite set of vertices and E is a binary relation on V represented by a set of edges. Fig. 1 illustrates an example of a graph (or graphs).
<image>
Fig. 1
A free tree is a connnected, acyclic, undirected graph. A rooted tree is a... | Step 1: To address this task, we need to define a class to represent nodes in the tree and methods to handle various operations on the tree, such as finding the root, setting the depth, and categorizing the node type.
Step 2: The process will involve using a class to represent each node in the tree, initializing prop... | 9931d9bdd42b27c750be357cf84b0bdf77e78473743e05b84062c58460dde88b_1_1 | 8e038ddaff8e7d1b7b86444705f64212c5ac3c30437d0ac555de3dc30a2b08c8 |
Coding | codecontest | Write Python code to solve the task.
A graph G = (V, E) is a data structure where V is a finite set of vertices and E is a binary relation on V represented by a set of edges. Fig. 1 illustrates an example of a graph (or graphs).
<image>
Fig. 1
A free tree is a connnected, acyclic, undirected graph. A rooted tree is a... | Step 1:
The problem expects us to implement a program to report various pieces of information for each node in a given rooted tree. This information includes the node ID, parent of the node, depth of the node, the type of the node (root, internal node, or leaf), and a list of the children of the node.
We can approac... | b9ed617493ccab4ffcf301949c9eba5360b64a5a610c216f9f32e9c6874b5498_1_1 | 8e038ddaff8e7d1b7b86444705f64212c5ac3c30437d0ac555de3dc30a2b08c8 |
Coding | codecontest | Write Python code to solve the task.
A graph G = (V, E) is a data structure where V is a finite set of vertices and E is a binary relation on V represented by a set of edges. Fig. 1 illustrates an example of a graph (or graphs).
<image>
Fig. 1
A free tree is a connnected, acyclic, undirected graph. A rooted tree is a... | Step 1: The goal of the problem is to report specific information about each node in a given rooted tree, including the node ID, parent, depth, type, and list of children.
Step 2: To achieve this, we can use a class to represent the nodes, where each node stores its ID and children.
Step 3: We can then parse the inp... | ed4972d02bff00b238a67a7986dea72a435a3016735610a6ef4ce6806bae2757_1_1 | 8e038ddaff8e7d1b7b86444705f64212c5ac3c30437d0ac555de3dc30a2b08c8 |
Coding | codecontest | Write Python code to solve the task.
A graph G = (V, E) is a data structure where V is a finite set of vertices and E is a binary relation on V represented by a set of edges. Fig. 1 illustrates an example of a graph (or graphs).
<image>
Fig. 1
A free tree is a connnected, acyclic, undirected graph. A rooted tree is a... | Step 1: This program first takes in the number of nodes and a list of node representations (id, k, and c1..ck)
Step 2: It constructs a graph using a Node class to represent the nodes and a tree using the left-child, right-sibling representation
Step 3: This program traverses through the tree and reports the informat... | 5bb3779fd57a82ea8991b0a7262d62c5d2e1455bca133919324412528938b40a_1_1 | 8e038ddaff8e7d1b7b86444705f64212c5ac3c30437d0ac555de3dc30a2b08c8 |
Coding | codecontest | Write Python code to solve the task.
Problem A Secret of Chocolate Poles
Wendy, the master of a chocolate shop, is thinking of displaying poles of chocolate disks in the showcase. She can use three kinds of chocolate disks: white thin disks, dark thin disks, and dark thick disks. The thin disks are $1$ cm thick, and t... | Step 1: The problem requires us to count the number of distinct side views she can make for given l and k based on certain conditions.
Step 2: We can approach this problem by first understanding the conditions that determine a distinct side view.
Step 3: We'll then need to consider how to count the number of distinc... | 16526962ec029e2d4d92182841dc3514052ae67473abef7f635576715d174602_1_1 | b0e6f786932046ee9ea63be662c7c0df11a63e04e7ca40920eb3be1a0242b52f |
Coding | codecontest | Write Python code to solve the task.
Problem A Secret of Chocolate Poles
Wendy, the master of a chocolate shop, is thinking of displaying poles of chocolate disks in the showcase. She can use three kinds of chocolate disks: white thin disks, dark thin disks, and dark thick disks. The thin disks are $1$ cm thick, and t... | Step 1: The problem is about determining the number of distinct side views that can be made for given l and k values.
Step 2: We can use dynamic programming to solve this problem. We should use the iterative approach to fill the array of possible distinct patterns.
Step 3: We need to handle edge cases and use an arr... | f18ae5da25e6752cf77d5293497daca4be3f98cec2368efdb47d13b25cf870be_1_1 | b0e6f786932046ee9ea63be662c7c0df11a63e04e7ca40920eb3be1a0242b52f |
Coding | codecontest | Write Python code to solve the task.
Problem A Secret of Chocolate Poles
Wendy, the master of a chocolate shop, is thinking of displaying poles of chocolate disks in the showcase. She can use three kinds of chocolate disks: white thin disks, dark thin disks, and dark thick disks. The thin disks are $1$ cm thick, and t... | Step 1: This problem is asking for the number of distinct side views Wendy can make for given total thickness and disk thickness.
Step 2: To solve this problem, we need to consider the restrictions for the side views: the top and bottom disks should be dark, and the disks must be alternately dark and white.
Step 3: ... | 0d0aa71db7942ce153e09b45d7626ccf78ba914148923155ff3619bf8aec07ef_1_1 | b0e6f786932046ee9ea63be662c7c0df11a63e04e7ca40920eb3be1a0242b52f |
Coding | codecontest | Write Python code to solve the task.
Problem A Secret of Chocolate Poles
Wendy, the master of a chocolate shop, is thinking of displaying poles of chocolate disks in the showcase. She can use three kinds of chocolate disks: white thin disks, dark thin disks, and dark thick disks. The thin disks are $1$ cm thick, and t... | Step 1: To solve this problem, we need to find the number of distinct side views Wendy can make for a given total thickness of disks and the thickness of the thick disks.
Step 2: We can use dynamic programming to solve this problem, where we can keep track of the number of possible distinct patterns for each total th... | 9c03daf1b5b936f48e607838866680d695bd39fb7fb65d7b910fd78d941ef497_1_1 | b0e6f786932046ee9ea63be662c7c0df11a63e04e7ca40920eb3be1a0242b52f |
Coding | codecontest | Write Python code to solve the task.
Every evening Vitalya sets n alarm clocks to wake up tomorrow. Every alarm clock rings during exactly one minute and is characterized by one integer ai — number of minute after midnight in which it rings. Every alarm clock begins ringing at the beginning of the minute and rings duri... | Step 1: The problem requires finding the minimal number of alarm clocks Vitalya should turn off to sleep all day long.
Step 2: We need to ensure that the minimum number of alarm clocks are turned off to meet the condition of "at least k alarm clocks ringing during some m consecutive minutes".
Step 3: To address th... | 925cebc889210ef1c6d50d5395b5da788917c365f9d579cf75f9307d6a41a2b2_1_1 | c0d5e57fb55734bb6c2ffc71bc252a0cfdc80e9091e173e395351a9b9187aa49 |
Coding | codecontest | Write Python code to solve the task.
Every evening Vitalya sets n alarm clocks to wake up tomorrow. Every alarm clock rings during exactly one minute and is characterized by one integer ai — number of minute after midnight in which it rings. Every alarm clock begins ringing at the beginning of the minute and rings duri... | Step 1: The solution involves a greedy algorithm approach to finding the minimal number of alarm clocks that Vitalya should turn off to sleep all next day long.
Step 2: We can start by sorting the alarm clock intervals in ascending order to represent the time at which each alarm clock rings.
Step 3: Then, we can ite... | f5882ef97a341dd6e73a4b18335248f47137b8ae724e091c2138d2ce0a271af6_1_1 | c0d5e57fb55734bb6c2ffc71bc252a0cfdc80e9091e173e395351a9b9187aa49 |
Coding | codecontest | Write Python code to solve the task.
Every evening Vitalya sets n alarm clocks to wake up tomorrow. Every alarm clock rings during exactly one minute and is characterized by one integer ai — number of minute after midnight in which it rings. Every alarm clock begins ringing at the beginning of the minute and rings duri... | Step 1: The first step is to understand the conditions that determine the number of alarm clocks Vitalya should turn off in order to sleep all day.
Step 2: We can create a map to track the ringing of the alarm clocks and another map to count the number of alarm clocks ringing at a given time.
Step 3: After counting ... | 74509b9dbd854301a9d541cf10f5e51b8acea3e86bb815393f1c35c1646cc16e_1_1 | c0d5e57fb55734bb6c2ffc71bc252a0cfdc80e9091e173e395351a9b9187aa49 |
Coding | codecontest | Write Python code to solve the task.
Every evening Vitalya sets n alarm clocks to wake up tomorrow. Every alarm clock rings during exactly one minute and is characterized by one integer ai — number of minute after midnight in which it rings. Every alarm clock begins ringing at the beginning of the minute and rings duri... | Step 1: The problem describes a condition in which some m consecutive minutes have at least k alarm clocks ring. Vitalya wants to sleep all day and wants to know the minimal number of alarm clocks he needs to turn off to achieve this.
Step 2: We first need to sort the alarm clocks' ringing times in ascending order.
S... | 24fd203d6403cf60461a91566d11730e351f18cf6f23177e54eda30d2364676b_1_1 | c0d5e57fb55734bb6c2ffc71bc252a0cfdc80e9091e173e395351a9b9187aa49 |
Coding | codecontest | Write Python code to solve the task.
On a chessboard with a width of 10^9 and a height of 10^9, the rows are numbered from bottom to top from 1 to 10^9, and the columns are numbered from left to right from 1 to 10^9. Therefore, for each cell of the chessboard you can assign the coordinates (x,y), where x is the column ... | Step 1: The given problem involves understanding the layout and constraints of a chessboard and finding the minimum number of spells the rook needs to remove to return home. The spells act as blocking lines and segments, which might hinder the rook's movement.
Step 2: The solution code seems to involve iterating thro... | c9bf205f18b8f634542deb2042fb94cd1d9559c61c391895402f4d5f1ebf6fb2_1_1 | 8039a87c9e1a2d28c817a110ecbfa662f1a7cc9cdb3a457fbd6dddd47489b5da |
Coding | codecontest | Write Python code to solve the task.
On a chessboard with a width of 10^9 and a height of 10^9, the rows are numbered from bottom to top from 1 to 10^9, and the columns are numbered from left to right from 1 to 10^9. Therefore, for each cell of the chessboard you can assign the coordinates (x,y), where x is the column ... | Step 1:
The problem describes a scenario where the rook needs to return home from the bottom-left corner to the top of the chessboard while avoiding blocking spells. These blocking spells can be either vertical or horizontal. We need to determine the minimum number of spells that need to be removed to enable the rook ... | c4ad36a0d09aa0b02b89573933cb54b8e5a310f3b1f9a5b8de7d6282a1ddaafd_1_1 | 8039a87c9e1a2d28c817a110ecbfa662f1a7cc9cdb3a457fbd6dddd47489b5da |
Coding | codecontest | Write Python code to solve the task.
On a chessboard with a width of 10^9 and a height of 10^9, the rows are numbered from bottom to top from 1 to 10^9, and the columns are numbered from left to right from 1 to 10^9. Therefore, for each cell of the chessboard you can assign the coordinates (x,y), where x is the column ... | Step 1: The problem requires finding the minimum number of spells that the rook must remove to get from the cell (1,1) to at least one cell in the row with the number 10^9.
Step 2: To solve this, we need to understand how the spells impact the rook's movement and how to minimize the number of spells needing to be rem... | 1663101a3ebe43cf1a1973dd32da69b446824b6731322dedace4632c4e5bb21c_1_1 | 8039a87c9e1a2d28c817a110ecbfa662f1a7cc9cdb3a457fbd6dddd47489b5da |
Coding | codecontest | Write Python code to solve the task.
On a chessboard with a width of 10^9 and a height of 10^9, the rows are numbered from bottom to top from 1 to 10^9, and the columns are numbered from left to right from 1 to 10^9. Therefore, for each cell of the chessboard you can assign the coordinates (x,y), where x is the column ... | Step 1: The program is designed to find the minimum number of spells the rook needs to remove so it can get from the cell (1,1) to at least one cell in the row with the number 10^9.
Step 2: It involves processing a number of inputs to create vertical and horizontal spells, and then sorting those inputs to evaluate th... | 39510157a59502a2aa66d0a29a7b27daaa03637c3e1dcce3d4f01beff6641077_1_1 | 8039a87c9e1a2d28c817a110ecbfa662f1a7cc9cdb3a457fbd6dddd47489b5da |
Coding | codecontest | Write Python code to solve the task.
Little Chris is a huge fan of linear algebra. This time he has been given a homework about the unusual square of a square matrix.
The dot product of two integer number vectors x and y of size n is the sum of the products of the corresponding components of the vectors. The unusual s... | Step 1: The problem asks us to calculate the unusual square of a square binary matrix.
Step 2: We can process the input to create and manipulate the matrix based on the given queries and then calculate the unusual square.
Step 3: We should use a boolean variable to represent the unusual square, where "True" represen... | 6df410d1486f7a7ede963191c69d2ed3178a67bbfbc47d49497745a7bd01d2e4_1_1 | ce7287e04a469ee79b42fb1d70007374ed081dd77ea90ec2a77b92a0ceaad803 |
Coding | codecontest | Write Python code to solve the task.
Little Chris is a huge fan of linear algebra. This time he has been given a homework about the unusual square of a square matrix.
The dot product of two integer number vectors x and y of size n is the sum of the products of the corresponding components of the vectors. The unusual s... | Step 1: To solve this problem, we need to implement a function to calculate the unusual square of a square matrix, taking into account the specified operations for processing queries.
Step 2: The unusual square of the matrix consists of finding the dot product of row vectors with their corresponding column vectors an... | 73015eb696e316a9e39486af293b4a4c2f4c2687baf40139b6496fdfb93dd8b4_1_1 | ce7287e04a469ee79b42fb1d70007374ed081dd77ea90ec2a77b92a0ceaad803 |
Coding | codecontest | Write Python code to solve the task.
Little Chris is a huge fan of linear algebra. This time he has been given a homework about the unusual square of a square matrix.
The dot product of two integer number vectors x and y of size n is the sum of the products of the corresponding components of the vectors. The unusual s... | Step 1: The problem involves processing a series of matrix operations and calculating the unusual square of a binary matrix.
Step 2: We should create a function to calculate the unusual square of matrix A, given the matrix and its size.
Step 3: We also need to handle the queries for flipping rows and columns and out... | 91b3cc2d1cc3a969010b889d1025c8f2a72cd83bc426c5eedb5a4e8a5e315e48_1_1 | ce7287e04a469ee79b42fb1d70007374ed081dd77ea90ec2a77b92a0ceaad803 |
Coding | codecontest | Write Python code to solve the task.
Little Chris is a huge fan of linear algebra. This time he has been given a homework about the unusual square of a square matrix.
The dot product of two integer number vectors x and y of size n is the sum of the products of the corresponding components of the vectors. The unusual s... | Step 1: The problem requires defining a function that processes queries and calculates the unusual square of the matrix A.
Step 2: The unusual square is the sum of n dot products, where the i-th of them is the dot product of the i-th row vector and the i-th column vector in the matrix A.
Step 3: There are three type... | 0d90f01b29020ab7e94097f3d0173c4b6fb32dbb6a185d6b1dd150c8c34a930d_1_1 | ce7287e04a469ee79b42fb1d70007374ed081dd77ea90ec2a77b92a0ceaad803 |
Coding | codecontest | Write Python code to solve the task.
There are 2N squares arranged from left to right. You are given a string of length 2N representing the color of each of the squares.
The color of the i-th square from the left is black if the i-th character of S is `B`, and white if that character is `W`.
You will perform the foll... | Step 1: To solve this problem, we need to come up with a strategy to understand how to choose the squares and then invert their colors such that all squares end up being white at the end of the process.
Step 2: We also need to consider the constraints provided for the input, especially the large range of N and the m... | 5ded84d125df40c66662b05846d8d284eeb3bcc78ee49492de3e6d60b479ecca_1_1 | ef8fa0ec541aa59973e12bbe20af6f796484dead5fcac625d9d223d88b6b3f7d |
Coding | codecontest | Write Python code to solve the task.
There are 2N squares arranged from left to right. You are given a string of length 2N representing the color of each of the squares.
The color of the i-th square from the left is black if the i-th character of S is `B`, and white if that character is `W`.
You will perform the foll... | Step 1: We need to count the number of ways to make all the squares white at the end of the process, following specific constraints.
Step 2: To solve the problem, we need to analyze how the given operation changes the colors of the squares.
Step 3: We should look for patterns and relationships between different colo... | f6816ee7310e6af40a5079f94da51ef49f9ad52a34466c7720ce8563a2d311fb_1_1 | ef8fa0ec541aa59973e12bbe20af6f796484dead5fcac625d9d223d88b6b3f7d |
Coding | codecontest | Write Python code to solve the task.
There are 2N squares arranged from left to right. You are given a string of length 2N representing the color of each of the squares.
The color of the i-th square from the left is black if the i-th character of S is `B`, and white if that character is `W`.
You will perform the foll... | Step 1: To solve this problem, we need to understand the operation of inverting the colors of adjacent squares and the number of ways to make all the squares white at the end of the process.
Step 2: We also need to understand the constraints of the input values and work within the given modulo.
Step 3: We need to ... | 888cd912e028ce21ea42f5e7c9509cf22aba26785b2f19e5613ef2a3e2c14408_1_1 | ef8fa0ec541aa59973e12bbe20af6f796484dead5fcac625d9d223d88b6b3f7d |
Coding | codecontest | Write Python code to solve the task.
There are 2N squares arranged from left to right. You are given a string of length 2N representing the color of each of the squares.
The color of the i-th square from the left is black if the i-th character of S is `B`, and white if that character is `W`.
You will perform the foll... | Step 1: To solve this problem, we need to find a way to track and manipulate the color of the squares while minimizing the number of different ways to make all the squares white.
Step 2: We can iterate through the string representing the color of each square and perform the operation to invert the colors of squares a... | 2b35b81e62a1d41d9a581909e34e4dd796689e9d612ff8fe310e5463b88973ca_1_1 | ef8fa0ec541aa59973e12bbe20af6f796484dead5fcac625d9d223d88b6b3f7d |
Coding | codecontest | Write Python code to solve the task.
Find the minimum area of a square land on which you can place two identical rectangular a × b houses. The sides of the houses should be parallel to the sides of the desired square land.
Formally,
* You are given two identical rectangles with side lengths a and b (1 ≤ a, b ≤ 100... | Step 1: To solve this problem, we need to find the minimum area square that can contain two identical rectangular houses with side lengths a and b.
Step 2: To achieve this, we can calculate the area of the minimum square that can contain both rectangles by finding the maximum side length of the square and then squari... | f18b764ab756add737dba6946a8c782ac8ebe089d2615ca7fcf7577beb9cd177_1_1 | 580ecc467712f6ee7e2d86cbd0c8f0497b7c4f75f1a92675e56da1558acac2f6 |
Coding | codecontest | Write Python code to solve the task.
Find the minimum area of a square land on which you can place two identical rectangular a × b houses. The sides of the houses should be parallel to the sides of the desired square land.
Formally,
* You are given two identical rectangles with side lengths a and b (1 ≤ a, b ≤ 100... | Step 1: To solve this problem, we need to find the minimum area of a square that can contain two identical rectangles with dimensions a x b.
Step 2: We can loop through each test case and calculate the minimal area required for a square land that contains the given rectangles.
Step 3: We also need to consider the po... | f8e7201f2d22998eac69c44b7c48ecbef757544e3160ec7337f30e4a6c6a4f86_1_1 | 580ecc467712f6ee7e2d86cbd0c8f0497b7c4f75f1a92675e56da1558acac2f6 |
Coding | codecontest | Write Python code to solve the task.
Find the minimum area of a square land on which you can place two identical rectangular a × b houses. The sides of the houses should be parallel to the sides of the desired square land.
Formally,
* You are given two identical rectangles with side lengths a and b (1 ≤ a, b ≤ 100... | Step 1: We need to find the minimum area of a square land on which two identical rectangular houses with dimensions a × b can be placed.
Step 2: The sides of the houses should be parallel to the sides of the desired square land, and the squares should contain both rectangles without intersection.
Step 3: We can star... | 664e806919f687c287ed200cdaa400134792be268f946c995bb027443ee4594d_1_1 | 580ecc467712f6ee7e2d86cbd0c8f0497b7c4f75f1a92675e56da1558acac2f6 |
Coding | codecontest | Write Python code to solve the task.
Find the minimum area of a square land on which you can place two identical rectangular a × b houses. The sides of the houses should be parallel to the sides of the desired square land.
Formally,
* You are given two identical rectangles with side lengths a and b (1 ≤ a, b ≤ 100... | Step 1: The problem asks us to find the minimum area of a square that contains two identical rectangles.
Step 2: We need to consider the different possible configurations of the rectangles and identify the square that encloses them with the minimum area.
Step 3: We should consider the cases where the rectangles are... | 989f0d33ebbde5d68551ac8180107be481b18ffdbadbc06c60369db5314c0b19_1_1 | 580ecc467712f6ee7e2d86cbd0c8f0497b7c4f75f1a92675e56da1558acac2f6 |
Coding | codecontest | Write Python code to solve the task.
When Mr. Kay was browsing a certain SNS as usual, the problem that "there are people who can solve IQ150 or more" came to the timeline. Mr. Kay has an IQ of over 150, so he solved the problem in an instant without even looking at it. For him, he doesn't have to work on such a myster... | Step 1: The problem requires us to find the number of integer pairs (x, y) that satisfy a = x + y, where x and y are non-negative integers.
Step 2: To solve this problem, we need to loop through the given integer and find possible pairs (x, y) that satisfy the condition.
Step 3: We can convert the string representat... | 76ce1476116a6e2b9d5cbc74fc8a9cb240167c07d3850185c1d465c034d13708_1_1 | e0b2916bb752962554d6ec9a0141bf42165fa08e1f7a3e484b398ecca0610102 |
Coding | codecontest | Write Python code to solve the task.
When Mr. Kay was browsing a certain SNS as usual, the problem that "there are people who can solve IQ150 or more" came to the timeline. Mr. Kay has an IQ of over 150, so he solved the problem in an instant without even looking at it. For him, he doesn't have to work on such a myster... | Step 1: To solve this problem, we need to consider all possible pairs of non-negative integers (x, y) such that x + y = a.
Step 2: We'll iterate through the given positive integer and calculate the number of pairs that satisfy the given conditions.
Step 3: We'll also check for some special cases and add them to our ... | a34416a9c0014c2e27c6af86725d0707619b9b52a23937e83fdad533ead1d88e_1_1 | e0b2916bb752962554d6ec9a0141bf42165fa08e1f7a3e484b398ecca0610102 |
Coding | codecontest | Write Python code to solve the task.
When Mr. Kay was browsing a certain SNS as usual, the problem that "there are people who can solve IQ150 or more" came to the timeline. Mr. Kay has an IQ of over 150, so he solved the problem in an instant without even looking at it. For him, he doesn't have to work on such a myster... | Step 1: The problem involves finding pairs of non-negative integers that sum to a given positive integer, a.
Step 2: We need to iterate through the digits of a, splitting it into two parts in each iteration to form the potential integer pairs (x, y).
Step 3: We then need to check the validity of each pair by compari... | cac3a966ca6107f3a6a710c5530738e041526cdc9bea02f354e05901c8a6f6f8_1_1 | e0b2916bb752962554d6ec9a0141bf42165fa08e1f7a3e484b398ecca0610102 |
Coding | codecontest | Write Python code to solve the task.
When Mr. Kay was browsing a certain SNS as usual, the problem that "there are people who can solve IQ150 or more" came to the timeline. Mr. Kay has an IQ of over 150, so he solved the problem in an instant without even looking at it. For him, he doesn't have to work on such a myster... | Step 1: The problem requires us to find the number of integer pairs (x, y) that satisfy a = x + y, where x and y are non-negative integers.
Step 2: We can approach this problem by iterating through the digits of the input number.
Step 3: For each digit, we can split the input number into two parts, consider each par... | e9e2aa58ebd025c8c110bbcfca0193b851cc7fe09e673a64e14e1bfa10559aae_1_1 | e0b2916bb752962554d6ec9a0141bf42165fa08e1f7a3e484b398ecca0610102 |
Coding | codecontest | Write Python code to solve the task.
<image>
William really likes the cellular automaton called "Game of Life" so he decided to make his own version. For simplicity, William decided to define his cellular automaton on an array containing n cells, with each cell either being alive or dead.
Evolution of the array in Wi... | Step 1: The problem requires implementing an iterative cellular automaton that evolves based on specific rules for the state of cells in the array.
Step 2: We need to handle multiple test cases, each containing the initial state of the array, and the number of iterations for the cellular automaton.
Step 3: The probl... | 6d6afff69fd9579a3318708deb64cf423791a9b6fa08e9dfef50a901ce87a756_1_1 | 68f212e90693623a6607730df27edce9b7a5884116b3ebbb018b5ff048a3a67d |
Coding | codecontest | Write Python code to solve the task.
<image>
William really likes the cellular automaton called "Game of Life" so he decided to make his own version. For simplicity, William decided to define his cellular automaton on an array containing n cells, with each cell either being alive or dead.
Evolution of the array in Wi... | Step 1: The problem requires updating the state of an array over a certain number of iterations based on certain rules.
Step 2: We need to iterate through each cell in the array and apply the rules of evolution to update the state of the array after each iteration.
Step 3: We should also keep track of the number of ... | 477b29f30ec7ffe51dcfab7f0434f93306111d4c34729f2e2c20a162fb2b282f_1_1 | 68f212e90693623a6607730df27edce9b7a5884116b3ebbb018b5ff048a3a67d |
Coding | codecontest | Write Python code to solve the task.
<image>
William really likes the cellular automaton called "Game of Life" so he decided to make his own version. For simplicity, William decided to define his cellular automaton on an array containing n cells, with each cell either being alive or dead.
Evolution of the array in Wi... | Step 1: The problem involves simulating the evolution of an array based on certain rules stated in the problem.
Step 2: We need to perform the evolution iteratively for m times for each given test case, and finally, print the state of the array after m iterations.
Step 3: To solve the problem, we can start by parsi... | ad25aca6b407d9c4cfdc95a237c8911cc0b70ea5c46d6dbeba99ccfd7b7923bb_1_1 | 68f212e90693623a6607730df27edce9b7a5884116b3ebbb018b5ff048a3a67d |
Coding | codecontest | Write Python code to solve the task.
<image>
William really likes the cellular automaton called "Game of Life" so he decided to make his own version. For simplicity, William decided to define his cellular automaton on an array containing n cells, with each cell either being alive or dead.
Evolution of the array in Wi... | Step 1: The given problem requires simulating the evolution of the cellular automaton for m iterations based on the initial state of the array.
Step 2: We can iterate through each cell of the array and apply the rules of evolution to determine the state of each cell after m iterations.
Step 3: As we iterate through ... | de4f63a044ecd20d6b319bd682d3b6d482d315a37928ce6e54f034d371b10dbb_1_1 | 68f212e90693623a6607730df27edce9b7a5884116b3ebbb018b5ff048a3a67d |
Coding | codecontest | Write Python code to solve the task.
Mr. Kitayuta has just bought an undirected graph with n vertices and m edges. The vertices of the graph are numbered from 1 to n. Each edge, namely edge i, has a color ci, connecting vertex ai and bi.
Mr. Kitayuta wants you to process the following q queries.
In the i-th query, he... | Step 1: The given problem involves processing a set of queries on an undirected graph. The task is to find the number of colors that satisfy a specific condition, which involves directly or indirectly connecting two vertices.
Step 2: The solution is using breadth-first search (BFS) to traverse the graph and check for... | 7f4673dcafb32c28a9f783e7d85e738931ec8e1a337b77f3815df7d3aa644227_1_1 | c104612e872542d428f6100f349e31161c511c3f2b764fa6fcb27c4fcae89b22 |
Coding | codecontest | Write Python code to solve the task.
Mr. Kitayuta has just bought an undirected graph with n vertices and m edges. The vertices of the graph are numbered from 1 to n. Each edge, namely edge i, has a color ci, connecting vertex ai and bi.
Mr. Kitayuta wants you to process the following q queries.
In the i-th query, he... | Step 1:
The problem involves processing queries on an undirected graph with colored edges. For each query, we need to find the number of colors that connect two vertices directly or indirectly.
To solve this problem, we can start by processing the input to represent the graph and its connections. Then, for each query... | 967ba93a4636dc2399a27d5f989a98329a6edacc7ae12106da1ef1651f87ac35_1_1 | c104612e872542d428f6100f349e31161c511c3f2b764fa6fcb27c4fcae89b22 |
Coding | codecontest | Write Python code to solve the task.
Mr. Kitayuta has just bought an undirected graph with n vertices and m edges. The vertices of the graph are numbered from 1 to n. Each edge, namely edge i, has a color ci, connecting vertex ai and bi.
Mr. Kitayuta wants you to process the following q queries.
In the i-th query, he... | Step 1: The problem requires us to process a series of queries to find the number of colors that satisfy the condition of connecting two vertices directly or indirectly.
Step 2: We can use graph traversal algorithms such as depth-first search (DFS) or breadth-first search (BFS) to find the connected vertices for each... | 1792682db9f5b9af924c38399e252776506ad18aabe013a33a3a9dc1fa37cd1f_1_1 | c104612e872542d428f6100f349e31161c511c3f2b764fa6fcb27c4fcae89b22 |
Coding | codecontest | Write Python code to solve the task.
Mr. Kitayuta has just bought an undirected graph with n vertices and m edges. The vertices of the graph are numbered from 1 to n. Each edge, namely edge i, has a color ci, connecting vertex ai and bi.
Mr. Kitayuta wants you to process the following q queries.
In the i-th query, he... | Step 1: To solve this problem, we need to process the given input to create a graph and answer the queries based on the graph.
Step 2: We can create a class to represent the Union-Find data structure and use it to store the graph information.
Step 3: Then, we will process the queries and check for the colors that sa... | 949e1ae0e500639f70ca66c78aab8945b29a643455d11c7e4cfa3935eb732046_1_1 | c104612e872542d428f6100f349e31161c511c3f2b764fa6fcb27c4fcae89b22 |
Coding | codecontest | Write Python code to solve the task.
<image>
You know the merry-go-round in the amusement park. Vehicles such as horses and carriages are fixed on a large disk, and it is a standard playset that the vehicle swings up and down at the same time as the disk rotates. A merry-go-round in an amusement park has two four-sea... | Step 1: To efficiently determine which vehicle should stop at which position to reduce the number of passengers who cannot get on, we need to consider all possible combinations of stopping positions for the vehicles.
Step 2: We will iterate through each stopping position and calculate the number of passengers who can... | 16e9660a4a8fcc50fd3150b7a3e42dfe98dc7f5e2ea51787437141c5656f64d0_1_1 | fbb3fa17671772ab830221b5d1b6cf4e1ae11a7cd20ea86f7229603aed934744 |
Coding | codecontest | Write Python code to solve the task.
<image>
You know the merry-go-round in the amusement park. Vehicles such as horses and carriages are fixed on a large disk, and it is a standard playset that the vehicle swings up and down at the same time as the disk rotates. A merry-go-round in an amusement park has two four-sea... | Step 1: The problem requires finding the optimal vehicle stop positions for a merry-go-round to minimize the number of passengers who cannot board.
Step 2: We need to iterate through all possible stop positions and calculate the number of passengers who cannot ride for each position.
Step 3: The position that minimi... | 422e3aa8bc2304cc1400debad376d5e873a7ffc95431d6c8b977dbca7e281f32_1_1 | fbb3fa17671772ab830221b5d1b6cf4e1ae11a7cd20ea86f7229603aed934744 |
Coding | codecontest | Write Python code to solve the task.
<image>
You know the merry-go-round in the amusement park. Vehicles such as horses and carriages are fixed on a large disk, and it is a standard playset that the vehicle swings up and down at the same time as the disk rotates. A merry-go-round in an amusement park has two four-sea... | Step 1: The problem entails determining the optimal vehicle stop positions to minimize the number of passengers who cannot ride. The number of passengers at each platform determines the best placement for vehicles to reduce wait time for everyone.
Step 2: We can create a matrix `d` that contains all possible vehicle... | 3c466b7a71eec4c591db0dffe8ea221151a6cc144ce484e5c5ad3d2209e82bd2_1_1 | fbb3fa17671772ab830221b5d1b6cf4e1ae11a7cd20ea86f7229603aed934744 |
Coding | codecontest | Write Python code to solve the task.
<image>
You know the merry-go-round in the amusement park. Vehicles such as horses and carriages are fixed on a large disk, and it is a standard playset that the vehicle swings up and down at the same time as the disk rotates. A merry-go-round in an amusement park has two four-sea... | Step 1: The problem asks us to minimize the number of passengers who cannot ride the merry-go-round by adjusting the stop position to allow passengers to get on efficiently.
Step 2: We'll consider the number of passengers waiting at each platform and decide on the configuration of vehicles that should stop at each po... | 8a4511038ca34e862fe2b45bccc615dfc1eb64d86423de859bf51a4d1f4d1772_1_1 | fbb3fa17671772ab830221b5d1b6cf4e1ae11a7cd20ea86f7229603aed934744 |
Coding | codecontest | Write Python code to solve the task.
<image>
Input
The input contains a single integer a (0 ≤ a ≤ 15).
Output
Output a single integer.
Example
Input
3
Output
13 | Step 1: Given an integer input a, we need to perform a series of bitwise operations to calculate a particular output integer.
Step 2: The expressions involving bitwise operations are used to manipulate individual bits of the input integer a to derive the final output value.
Step 3: We also need to handle specific ca... | bc0c0bc4ee12a3523575327c9c04532b362413842adfef9178ff7cfff870f396_1_1 | ceaceef7f68e96b62b8fa77642c0d0297b102e673d275ae55f01f17230eafb3c |
Coding | codecontest | Write Python code to solve the task.
<image>
Input
The input contains a single integer a (0 ≤ a ≤ 15).
Output
Output a single integer.
Example
Input
3
Output
13 | Step 1: The given code seems to be using bitwise operations to manipulate the input number and derive the output.
Step 2: It looks like the code is performing different operations based on the value of the input number.
Step 3: We can rewrite this logic using simple if-else conditions to improve readability and unde... | 429ec3d16d0d66eb9a4390719efbb60d118a7264f3aea295f16cae90be0130c7_1_1 | ceaceef7f68e96b62b8fa77642c0d0297b102e673d275ae55f01f17230eafb3c |
Coding | codecontest | Write Python code to solve the task.
<image>
Input
The input contains a single integer a (0 ≤ a ≤ 15).
Output
Output a single integer.
Example
Input
3
Output
13 | Step 1: The given code is using a list to represent the output for a given input.
Step 2: The input is used to index the list and the corresponding element at that index is returned as the output.
Step 3: We need to convert the code to Python 3 syntax and add comments for better understanding.
```python
# Step 4: C... | 4902cbd392abf9b0c2b49aadcb1912d13e664064e73612ce047866af7fe776ab_1_1 | ceaceef7f68e96b62b8fa77642c0d0297b102e673d275ae55f01f17230eafb3c |
Coding | codecontest | Write Python code to solve the task.
<image>
Input
The input contains a single integer a (0 ≤ a ≤ 15).
Output
Output a single integer.
Example
Input
3
Output
13 | Step 1: The given problem is to find the integer at the input index in the list [15,14,12,13,8,9,10,11,0,1,2,3,4,5,6,7].
Step 2: We can directly access the value at the input index and print the result.
```python
# Step 3: Create a list containing the sequence [15,14,12,13,8,9,10,11,0,1,2,3,4,5,6,7]. Then, access th... | b1796f55e6e79d6cb3705682835f9d078ee7e1f15e5a5f9dbc69ceea96048bef_1_1 | ceaceef7f68e96b62b8fa77642c0d0297b102e673d275ae55f01f17230eafb3c |
Coding | codecontest | Write Python code to solve the task.
Assume that a, b, and n are all positive integers. Let f (i) be the i-th fraction of the fraction a / b (0 ≤ f (i) ≤ 9). At this time, let s be the sum of f (i) from i = 1 to n.
s = f (1) + f (2) + ... + f (n)
Create a program that reads a, b, n, outputs s, and exits.
Input
T... | Step 1: To solve this problem, we need to read input integers a, b, and n, calculate the sum of fractions from i = 1 to n, and then output the sum for each dataset.
Step 2: We'll start by iterating through the multiple datasets and processing each one. For each dataset, we will use the input a, b, and n to calculate ... | 28a58ff606d9aba0fbd8e003c567ca92e9ae1444f11db5b0338ef3ad3f0d19cc_1_1 | a3f2a1e35208a399b7c76e2275ce9bc3c62fbfad29123da41f542235e5d46477 |
Coding | codecontest | Write Python code to solve the task.
Assume that a, b, and n are all positive integers. Let f (i) be the i-th fraction of the fraction a / b (0 ≤ f (i) ≤ 9). At this time, let s be the sum of f (i) from i = 1 to n.
s = f (1) + f (2) + ... + f (n)
Create a program that reads a, b, n, outputs s, and exits.
Input
T... | Step 1: The given problem involves reading three integers a, b, and n and calculating the sum s of the i-th fraction of a/b for values of i from 1 to n.
Step 2: We can write a program to read the input parameters and perform the calculation to determine the value of s.
Step 3: The input parameters include a, b, and ... | 745821032896344786c093bc87af0e00cc7718783515997656bebe5eeae4c428_1_1 | a3f2a1e35208a399b7c76e2275ce9bc3c62fbfad29123da41f542235e5d46477 |
Coding | codecontest | Write Python code to solve the task.
Assume that a, b, and n are all positive integers. Let f (i) be the i-th fraction of the fraction a / b (0 ≤ f (i) ≤ 9). At this time, let s be the sum of f (i) from i = 1 to n.
s = f (1) + f (2) + ... + f (n)
Create a program that reads a, b, n, outputs s, and exits.
Input
T... | Step 1: The problem requires reading three integers: a, b, and n for each dataset and then calculate the sum of the fractions f(i) from 1 to n.
Step 2: We need to calculate the fractional part of a/b multiplied by 10^i for each i from 1 to n, and then sum these up to get the final result.
Step 3: We will use loops t... | 28297ee64d849ef635239d237249b6c4bcb8c492772286409c42e9264e8f3f8f_1_1 | a3f2a1e35208a399b7c76e2275ce9bc3c62fbfad29123da41f542235e5d46477 |
Coding | codecontest | Write Python code to solve the task.
Assume that a, b, and n are all positive integers. Let f (i) be the i-th fraction of the fraction a / b (0 ≤ f (i) ≤ 9). At this time, let s be the sum of f (i) from i = 1 to n.
s = f (1) + f (2) + ... + f (n)
Create a program that reads a, b, n, outputs s, and exits.
Input
T... | Step 1: To solve this problem, we need to read the inputs for a, b, and n, and calculate the sum of the first n digits of the fraction a/b.
Step 2: We can start by reading the input values for a, b, and n.
Step 3: Then we can calculate the value of the fraction a/b.
Step 4: Next, we need to extract the first n digi... | 52c15de9fa16aed7020636571505b6bdf8192ae414ecdff8958ec4399d8b6091_1_1 | a3f2a1e35208a399b7c76e2275ce9bc3c62fbfad29123da41f542235e5d46477 |
Coding | codecontest | Write Python code to solve the task.
You like playing chess tournaments online.
In your last tournament you played n games. For the sake of this problem, each chess game is either won or lost (no draws). When you lose a game you get 0 points. When you win you get 1 or 2 points: if you have won also the previous game y... | Step 1: The problem requires finding the maximum score after cheating in the optimal way within the given constraints.
Step 2: We can start by defining a function to calculate the score based on the given outcomes.
Step 3: Then, we can implement a function to solve each test case and return the maximum possible sco... | 6c11db3b8868bb733a176c0780609c220565e6d39c5039640ce5e130b001cae8_1_1 | c81922fb3bb0780bb0f545fba44ffc1b4c92204fafebe8ec84878f23f9ee5080 |
Coding | codecontest | Write Python code to solve the task.
You like playing chess tournaments online.
In your last tournament you played n games. For the sake of this problem, each chess game is either won or lost (no draws). When you lose a game you get 0 points. When you win you get 1 or 2 points: if you have won also the previous game y... | Step 1: To solve this problem, we need to devise an algorithm that allows us to manipulate the outcomes of the games within a given range and maximize the total score achieved.
Step 2: We need to consider the different scenarios and possible changes that can be made to the outcomes to achieve the highest score. We al... | 2866737ee8c8339457c5f5069be2805a51ebe0c89fab733af5478f00666c66d0_1_1 | c81922fb3bb0780bb0f545fba44ffc1b4c92204fafebe8ec84878f23f9ee5080 |
Coding | codecontest | Write Python code to solve the task.
You like playing chess tournaments online.
In your last tournament you played n games. For the sake of this problem, each chess game is either won or lost (no draws). When you lose a game you get 0 points. When you win you get 1 or 2 points: if you have won also the previous game y... | Step 1: This problem involves finding the maximum score you can get by cheating in the optimal way by flipping at most k outcomes.
Step 2: We need to consider the different streaks in the string of game outcomes (W/L) in order to determine the optimal way to cheat and maximize the score.
Step 3: We should also handl... | 8b026cd52881ed0af25b3ba999d85f7d2eb0fe7acced44eed7d9f11bd55d0889_1_1 | c81922fb3bb0780bb0f545fba44ffc1b4c92204fafebe8ec84878f23f9ee5080 |
Coding | codecontest | Write Python code to solve the task.
You like playing chess tournaments online.
In your last tournament you played n games. For the sake of this problem, each chess game is either won or lost (no draws). When you lose a game you get 0 points. When you win you get 1 or 2 points: if you have won also the previous game y... | Step 1:
I will first define two functions, `fun` and `kind`. The `fun` function will calculate the total score based on the wins and losses in the tournament. The `kind` function will calculate the possible scores and outcomes for different sequences of wins and losses.
Next, I will create a loop to process each test... | d791bf6bc741b3c75eb86ec7d962f7316ee7cf11ed76b6f820454a20008cde61_1_1 | c81922fb3bb0780bb0f545fba44ffc1b4c92204fafebe8ec84878f23f9ee5080 |
Coding | codecontest | Write Python code to solve the task.
A cell phone company is trying out its new model of cell phone. Here's how its structure is:
The keypad has 11 buttons corresponding to digits from 0 to 9 and one additional button called Add. After pressing any button from 0 to 9, the corresponding digit appears on the screen. Th... | Step 1: The problem requires finding the minimum cost of feeding a phone screen with a target number using a sequence of button presses.
Step 2: The cost of pressing each button from 0 to 9 is given, and the cost of pressing the "Add" button is always 0.
Step 3: We need to iterate through the test cases, calculate ... | 1d8ebac41f84c70c3f4bd6d5f236ff21b3f03e8d7393502dcadae5a1ac1feea8_1_1 | 3b3a08a9a39a0d1c27dfde7ccc37474acc47c6ccb9cb5be7809049738484df97 |
Coding | codecontest | Write Python code to solve the task.
A cell phone company is trying out its new model of cell phone. Here's how its structure is:
The keypad has 11 buttons corresponding to digits from 0 to 9 and one additional button called Add. After pressing any button from 0 to 9, the corresponding digit appears on the screen. Th... | Step 1: The goal is to calculate the minimum cost of feeding the target phone number into the phone screen using a sequence of button presses.
Step 2: To achieve this, we need to find the minimum cost for each digit. To do this, we will initialize the cost for each digit based on the input and then iterate through al... | 3136e521477c627b743d4b52c6edc9251c1b9ab30e56b12e7a89610e2b97144d_1_1 | 3b3a08a9a39a0d1c27dfde7ccc37474acc47c6ccb9cb5be7809049738484df97 |
Coding | codecontest | Write Python code to solve the task.
A cell phone company is trying out its new model of cell phone. Here's how its structure is:
The keypad has 11 buttons corresponding to digits from 0 to 9 and one additional button called Add. After pressing any button from 0 to 9, the corresponding digit appears on the screen. Th... | Step 1: The problem requires finding the minimum cost of feeding a target phone number into the phone screen using a sequence of button presses.
Step 2: The cost is associated with each button from 0 to 9, and an additional button called Add which takes the modulo sum of the last two digits.
Step 3: To solve this, w... | 5c586874d17ed41a0a6c699842ac109f46f8104a5db5b8538c19c87132deb534_1_1 | 3b3a08a9a39a0d1c27dfde7ccc37474acc47c6ccb9cb5be7809049738484df97 |
Coding | codecontest | Write Python code to solve the task.
A cell phone company is trying out its new model of cell phone. Here's how its structure is:
The keypad has 11 buttons corresponding to digits from 0 to 9 and one additional button called Add. After pressing any button from 0 to 9, the corresponding digit appears on the screen. Th... | Step 1: To solve this problem, we need to calculate the minimum cost of feeding the target number into the phone screen.
Step 2: The costs of pressing the buttons are given for buttons from 0 to 9. We need to consider the cost of pressing the "Add" button as well as the addition operation.
Step 3: After reading the ... | 0c2f5647da0ad29b4a2ba7ed8d7357e71824485a53abc83e73fa8f8a3bd3ff8c_1_1 | 3b3a08a9a39a0d1c27dfde7ccc37474acc47c6ccb9cb5be7809049738484df97 |
Coding | codecontest | Write Python code to solve the task.
The screen that displays digital numbers that you often see on calculators is called a "7-segment display" because the digital numbers consist of seven parts (segments).
The new product to be launched by Wakamatsu will incorporate a 7-segment display into the product, and as an emp... | Step 1:
The function should be able to handle the conversion from a given number to the corresponding 7-bits (segment display). This can be achieved with bitwise manipulation to create the 7-bits pattern.
The program should also be able to handle multiple input datasets and a way to exit the program. This could be do... | 330e8f42f338a4b604ef5ad452a09b830138e1ac1d1937cd59019437a3705ba4_1_1 | b60d1ebf5dca38892ff9a2476f77ebba1a7ffa32b18dff799f45777ddbf5b8a7 |
Coding | codecontest | Write Python code to solve the task.
The screen that displays digital numbers that you often see on calculators is called a "7-segment display" because the digital numbers consist of seven parts (segments).
The new product to be launched by Wakamatsu will incorporate a 7-segment display into the product, and as an emp... | Step 1: To solve this problem, we need to first understand the mapping between the 7-segment display and the binary signals that need to be sent to display each number.
Step 2: We can create a lookup table or array that maps each number to its corresponding 7-bit signal.
Step 3: Once we have the lookup table, we can... | 7a784dec6d6aaa0d772e328d9bb455684ce8290a2610d3b611ab480bc28e33f2_1_1 | b60d1ebf5dca38892ff9a2476f77ebba1a7ffa32b18dff799f45777ddbf5b8a7 |
Coding | codecontest | Write Python code to solve the task.
The screen that displays digital numbers that you often see on calculators is called a "7-segment display" because the digital numbers consist of seven parts (segments).
The new product to be launched by Wakamatsu will incorporate a 7-segment display into the product, and as an emp... | Step 1: The solution provided appears to use a reference list to store the 7-bit signal sequences required to properly display the numbers. It then iterates through the input numbers and prints the corresponding signal sequence using bit manipulation and string formatting.
Step 2: The provided solution seems to corre... | ed571e66a5b4c04fb0f27ca4af60de5042d0ae4a9bc5309d11bd1ed666db086e_1_1 | b60d1ebf5dca38892ff9a2476f77ebba1a7ffa32b18dff799f45777ddbf5b8a7 |
Coding | codecontest | Write Python code to solve the task.
The screen that displays digital numbers that you often see on calculators is called a "7-segment display" because the digital numbers consist of seven parts (segments).
The new product to be launched by Wakamatsu will incorporate a 7-segment display into the product, and as an emp... | Step 1: The problem requires creating a program that takes a series of numbers and outputs the signal sequence required to correctly display the numbers on the 7-segment display.
Step 2: We can use a reference list to store the signal sequence for each number from 0 to 9.
Step 3: Then, we can iterate through the giv... | ebc88d4eb61ca2e1c55a51d65c807fb22fbf8f9cf2b36e79306faa531638dd7a_1_1 | b60d1ebf5dca38892ff9a2476f77ebba1a7ffa32b18dff799f45777ddbf5b8a7 |
Coding | codecontest | Write Python code to solve the task.
Have you ever tasted Martian food? Well, you should.
Their signature dish is served on a completely black plate with the radius of R, flat as a pancake.
First, they put a perfectly circular portion of the Golden Honduras on the plate. It has the radius of r and is located as close... | Step 1: The problem requires calculating the radius of the k-th portion of the Green Bull Terrier based on the radii of the plate and the Golden Honduras, as well as the value of k.
Step 2: The solution involves performing a series of calculations using the provided radii and the value of k to determine the radius of... | faba6f1ffa019d8aaf9d25c3438a12c99d37b83aa419c3499f48441acb99b6d0_1_1 | 00f32bc58484f745bbee20179c047cc6562dd3848ea80c4323a2bb625178c937 |
Coding | codecontest | Write Python code to solve the task.
Have you ever tasted Martian food? Well, you should.
Their signature dish is served on a completely black plate with the radius of R, flat as a pancake.
First, they put a perfectly circular portion of the Golden Honduras on the plate. It has the radius of r and is located as close... | Step 1: The problem requires finding the radius of the k-th portion of the Green Bull Terrier.
Step 2: We need to consider the radius of the plate, the portion of the Golden Honduras, and the value of k to perform the necessary calculations.
Step 3: We should use a formula based on the given requirements to find the... | ac958495c2b45a2180dc4b66b66e1b532fb05c2bf9312e49781c730dbfa11b97_1_1 | 00f32bc58484f745bbee20179c047cc6562dd3848ea80c4323a2bb625178c937 |
Coding | codecontest | Write Python code to solve the task.
Have you ever tasted Martian food? Well, you should.
Their signature dish is served on a completely black plate with the radius of R, flat as a pancake.
First, they put a perfectly circular portion of the Golden Honduras on the plate. It has the radius of r and is located as close... | Step 1: The problem requires coding a solution that calculates the radius of the k-th portion of the Green Bull Terrier given the radii of the plate and a portion of the Golden Honduras.
Step 2: The martian's requirements are to match the k-th portion of the Green Bull Terrier to the specified conditions.
Step 3: We... | f4320bfb17d67898349f7bc4da69ad64d2086004b53f23b46a4b88a109175520_1_1 | 00f32bc58484f745bbee20179c047cc6562dd3848ea80c4323a2bb625178c937 |
Coding | codecontest | Write Python code to solve the task.
Have you ever tasted Martian food? Well, you should.
Their signature dish is served on a completely black plate with the radius of R, flat as a pancake.
First, they put a perfectly circular portion of the Golden Honduras on the plate. It has the radius of r and is located as close... | Step 1: The problem involves determining the radius of the k-th portion of the Green Bull Terrier based on the radii of the plate, a portion of the Golden Honduras, and the number k.
Step 2: Given the input parameters, we can calculate the radius using a mathematical formula.
Step 3: We will need to take into accoun... | 27b10b19e63a1eb54970f48531d536f057caf3becc7452d6a91068250fa95643_1_1 | 00f32bc58484f745bbee20179c047cc6562dd3848ea80c4323a2bb625178c937 |
Coding | codecontest | Write Python code to solve the task.
Let's define a function f(x) (x is a positive integer) as follows: write all digits of the decimal representation of x backwards, then get rid of the leading zeroes. For example, f(321) = 123, f(120) = 21, f(1000000) = 1, f(111) = 111.
Let's define another function g(x) = (x)/(f(f(... | Step 1: The task requires us to calculate the number of different values of the function g(x) for all numbers x between 1 and n.
Step 2: To achieve this, we need to write a function to determine f(x) for a given positive integer x, which involves reversing the digits of x and removing leading zeroes.
Step 3: Then, w... | 8a674a97853b0e074ae75e78a63e72097eb7f586f1ed85dfbd71251e27bf8b68_1_1 | b61d10c0d03d7ffe3ccaa39f8ab2f7041759785a75398d19cc088d30126b3800 |
Coding | codecontest | Write Python code to solve the task.
Let's define a function f(x) (x is a positive integer) as follows: write all digits of the decimal representation of x backwards, then get rid of the leading zeroes. For example, f(321) = 123, f(120) = 21, f(1000000) = 1, f(111) = 111.
Let's define another function g(x) = (x)/(f(f(... | Step 1: The problem defines two functions, f(x) and g(x), and asks us to calculate the number of different values of g(x) for a given range of x values.
Step 2: To calculate g(x), we'll need to implement function f(x) and then apply it to calculate g(x).
Step 3: We'll also need to consider all x values in the given... | e5bb709b6514ec873e7808e65863b5172de0296e9fe0d8874bec9e068dc50a0b_1_1 | b61d10c0d03d7ffe3ccaa39f8ab2f7041759785a75398d19cc088d30126b3800 |
Coding | codecontest | Write Python code to solve the task.
Let's define a function f(x) (x is a positive integer) as follows: write all digits of the decimal representation of x backwards, then get rid of the leading zeroes. For example, f(321) = 123, f(120) = 21, f(1000000) = 1, f(111) = 111.
Let's define another function g(x) = (x)/(f(f(... | Step 1: The problem defines two functions, f(x) and g(x). Function f(x) inverts the digits of x and removes leading zeros, while function g(x) calculates (x)/(f(f(x))).
Step 2: The task requires us to find the number of different values of g(x) for all numbers x such that 1 ≤ x ≤ n.
Step 3: We need to iterate throu... | 3b7afffc3af2399f01a47f0eac8a9ca372bb1ec8e75519b9e9468d7eba29064e_1_1 | b61d10c0d03d7ffe3ccaa39f8ab2f7041759785a75398d19cc088d30126b3800 |
Coding | codecontest | Write Python code to solve the task.
Let's define a function f(x) (x is a positive integer) as follows: write all digits of the decimal representation of x backwards, then get rid of the leading zeroes. For example, f(321) = 123, f(120) = 21, f(1000000) = 1, f(111) = 111.
Let's define another function g(x) = (x)/(f(f(... | Step 1: The task asks us to calculate the number of different values of the function g(x) for a given range of positive integers.
Step 2: The function f(x) should be implemented first, followed by the implementation of the function g(x).
Step 3: We also need to handle multiple test cases for different values of n.
... | be1c3f3b72b260fc02bd09616d59eda50f547c0ffdf6ff82c345266c65dea44a_1_1 | b61d10c0d03d7ffe3ccaa39f8ab2f7041759785a75398d19cc088d30126b3800 |
Coding | codecontest | Write Python code to solve the task.
There are n cities and n - 1 roads in the Seven Kingdoms, each road connects two cities and we can reach any city from any other by the roads.
Theon and Yara Greyjoy are on a horse in the first city, they are starting traveling through the roads. But the weather is foggy, so they c... | Step 1: The problem involves finding the expected value of the length of Theon and Yara's journey as they travel through the Seven Kingdoms.
Step 2: We need to explore each possible path that the horse can take and calculate the expected length of the journey based on these paths.
Step 3: A depth-first search (DFS) ... | b9e6ce62f9c01167e54dc538eda64dd6bd8a799f6415893ee5af6c3986825b43_1_1 | 20431df9a346ef59cdc86789dbab63628b17c09c3d4aff97dd99ce805e0300b5 |
Coding | codecontest | Write Python code to solve the task.
There are n cities and n - 1 roads in the Seven Kingdoms, each road connects two cities and we can reach any city from any other by the roads.
Theon and Yara Greyjoy are on a horse in the first city, they are starting traveling through the roads. But the weather is foggy, so they c... | Step 1: The problem requires finding the expected length of the journey of two characters through the cities connected by roads.
Step 2: We can represent the cities and their connections as a graph. We can then use traversal techniques to calculate the expected length of the journey.
Step 3: One approach is to use a... | f410a1f9314eb717a23be43c15c74ccc19b7671f259d8e6d3368aee0aee91237_1_1 | 20431df9a346ef59cdc86789dbab63628b17c09c3d4aff97dd99ce805e0300b5 |
Coding | codecontest | Write Python code to solve the task.
There are n cities and n - 1 roads in the Seven Kingdoms, each road connects two cities and we can reach any city from any other by the roads.
Theon and Yara Greyjoy are on a horse in the first city, they are starting traveling through the roads. But the weather is foggy, so they c... | Step 1: The problem asks us to find the expected length of a journey for Theon and Yara Greyjoy as they travel through the cities connected by roads.
Step 2: We can solve this problem using a breadth-first search (BFS) approach on a tree data structure.
Step 3: We need to find the probability of reaching each city ... | d295031a955fe7b1786024a5f36cd81a53fdff54b778cbbce7adfb2a6166bd0e_1_1 | 20431df9a346ef59cdc86789dbab63628b17c09c3d4aff97dd99ce805e0300b5 |
Coding | codecontest | Write Python code to solve the task.
There are n cities and n - 1 roads in the Seven Kingdoms, each road connects two cities and we can reach any city from any other by the roads.
Theon and Yara Greyjoy are on a horse in the first city, they are starting traveling through the roads. But the weather is foggy, so they c... | Step 1: The solution seems to be using Depth First Search (DFS) to calculate the expected length of their journey.
Step 2: It starts from city 1 and visits cities connected by roads to calculate the expected length of the journey.
Step 3: The algorithm calculates the expected length for each city and keeps track of ... | b6a29c23146130ffb4535c76afab5f88b0c8099ad2a4bae3f780e45560d59787_1_1 | 20431df9a346ef59cdc86789dbab63628b17c09c3d4aff97dd99ce805e0300b5 |
Coding | codecontest | Write Python code to solve the task.
You are given an array a of length n and array b of length m both consisting of only integers 0 and 1. Consider a matrix c of size n × m formed by following rule: c_{i, j} = a_i ⋅ b_j (i.e. a_i multiplied by b_j). It's easy to see that c consists of only zeroes and ones too.
How ma... | Step 1: The approach to solving this problem should start with splitting the input into useful data. n, m, and k will help in forming the matrix, while a and b will determine the number of 1s in each row and column.
Step 2: To find the number of subrectangles of size k consisting only of ones in c, we need to apply ... | f1bb6633df9439ae51364007b99d3d7ebef0e9b96145c73d2368e1dbe82e16e0_1_1 | b0c067dafc3cb2167622b8c187ddeded7cec9b7b7406db9c9dae86a51c3f247d |
Coding | codecontest | Write Python code to solve the task.
You are given an array a of length n and array b of length m both consisting of only integers 0 and 1. Consider a matrix c of size n × m formed by following rule: c_{i, j} = a_i ⋅ b_j (i.e. a_i multiplied by b_j). It's easy to see that c consists of only zeroes and ones too.
How ma... | Step 1: The problem requires counting the number of subrectangles of a matrix with a specified size and consisting only of ones.
Step 2: To solve this problem, we can start by calculating the consecutive ones in each row and column of the matrix.
Step 3: We can then iterate through each combination of consecutive on... | b0c8b495f6629a63c19cb7d9779e3bf1ef54444e6501be72c89c06c1dc87adaa_1_1 | b0c067dafc3cb2167622b8c187ddeded7cec9b7b7406db9c9dae86a51c3f247d |
Coding | codecontest | Write Python code to solve the task.
You are given an array a of length n and array b of length m both consisting of only integers 0 and 1. Consider a matrix c of size n × m formed by following rule: c_{i, j} = a_i ⋅ b_j (i.e. a_i multiplied by b_j). It's easy to see that c consists of only zeroes and ones too.
How ma... | Step 1: The problem requires counting the number of subrectangles of size k consisting only of ones in the given matrix c.
Step 2: We can start by parsing the input and extracting the necessary information such as the dimensions of the matrix and the arrays a and b.
Step 3: Then, we need to calculate the number of o... | 9dd90dda609e0de812d6beafc35946ebdf47eab6f6b827080c40d48a99d5da99_1_1 | b0c067dafc3cb2167622b8c187ddeded7cec9b7b7406db9c9dae86a51c3f247d |
Coding | codecontest | Write Python code to solve the task.
You are given an array a of length n and array b of length m both consisting of only integers 0 and 1. Consider a matrix c of size n × m formed by following rule: c_{i, j} = a_i ⋅ b_j (i.e. a_i multiplied by b_j). It's easy to see that c consists of only zeroes and ones too.
How ma... | Step 1: The problem involves reading input arrays a and b of lengths n and m and calculating the number of subrectangles of area k consisting of only ones in the matrix c formed by the element-wise multiplication of arrays a and b. We need to determine the maximum number of consecutive ones in a to calculate the horiz... | 536146e3eade0669ae0f94e4e33b6902638401f98e978224f0aa1b0ccebb1959_1_1 | b0c067dafc3cb2167622b8c187ddeded7cec9b7b7406db9c9dae86a51c3f247d |
Coding | codecontest | Write Python code to solve the task.
There are N cards placed on a grid with H rows and W columns of squares.
The i-th card has an integer A_i written on it, and it is placed on the square at the R_i-th row from the top and the C_i-th column from the left.
Multiple cards may be placed on the same square.
You will fi... | Step 1: The problem requires picking up at most one card from each row and at most one card from each column, in order to calculate the maximum possible sum of the integers written on the picked cards.
Step 2: To solve this, we can start by representing the cards on the grid using a data structure that tracks the pos... | 1794942d7fe8be1cc46bd9d4760974db264ff518465d26f561a2e5382bb9f8dc_1_1 | 7293c96211a7f6d44993dc7f4fcbdc7e3d9da3f1ee13543852e03d7502f62a2b |
Coding | codecontest | Write Python code to solve the task.
There are N cards placed on a grid with H rows and W columns of squares.
The i-th card has an integer A_i written on it, and it is placed on the square at the R_i-th row from the top and the C_i-th column from the left.
Multiple cards may be placed on the same square.
You will fi... | Step 1: The problem requires finding the maximum sum of integers written on the picked cards by first picking up at most one card from each row and then at most one card from each column.
Step 2: The intention behind par, unite, and other functions seems to be union-find algorithm implementation to achieve the object... | 0a1e4e3560ba86021c527accdcc43337a94539e66d220ba0532d3d7624263b4e_1_1 | 7293c96211a7f6d44993dc7f4fcbdc7e3d9da3f1ee13543852e03d7502f62a2b |
Coding | codecontest | Write Python code to solve the task.
There are N cards placed on a grid with H rows and W columns of squares.
The i-th card has an integer A_i written on it, and it is placed on the square at the R_i-th row from the top and the C_i-th column from the left.
Multiple cards may be placed on the same square.
You will fi... | Step 1: This problem can be solved using Union-Find data structure to efficiently calculate the maximum possible sum of the integers written on the picked cards.
Step 2: The input consists of the number of cards and the dimensions of the grid, along with the position and integer written on each card.
Step 3: We want... | 50f6f8ac51f91f2f9cc143260296e8a5bc0556a3288e5ca98e66be3d42c634b2_1_1 | 7293c96211a7f6d44993dc7f4fcbdc7e3d9da3f1ee13543852e03d7502f62a2b |
Coding | codecontest | Write Python code to solve the task.
There are N cards placed on a grid with H rows and W columns of squares.
The i-th card has an integer A_i written on it, and it is placed on the square at the R_i-th row from the top and the C_i-th column from the left.
Multiple cards may be placed on the same square.
You will fi... | Step 1: The problem requires finding the maximum sum of integers written on the picked cards following the given rules.
Step 2: We can make use of disjoint set union (DSU) to keep track of the cards picked from each row and column.
Step 3: We also need to sort the cards by the integers written on them to make the pr... | 74de7615a6a72a516a009f8d98a60a340680a1c5327b7641614e2a7d612889ab_1_1 | 7293c96211a7f6d44993dc7f4fcbdc7e3d9da3f1ee13543852e03d7502f62a2b |
Coding | codecontest | Write Python code to solve the task.
There is a cube which consists of n × n × n small cubes. Small cubes have marks on their surfaces. An example where n = 4 is shown in the following figure.
<image>
Then, as shown in the figure above (right), make a hole that penetrates horizontally or vertically from the marked ... | Step 1: Each dataset in the input consists of the size of the cube, the number of holes, and the coordinates of each hole.
Step 2: To count the number of small cubes with no holes, we can iterate through each mark, calculate the positions of the holes, and store them in a set to eliminate duplicate positions.
Step 3:... | 3f93b3ea65079f64c8590da1af929ed615dc1e1c130ec2b6b0695498d09e6093_1_1 | 57f2a2426f5d2d46ff880612205c9c78359126be7e978330e3b4ff7c5506ca2b |
Coding | codecontest | Write Python code to solve the task.
There is a cube which consists of n × n × n small cubes. Small cubes have marks on their surfaces. An example where n = 4 is shown in the following figure.
<image>
Then, as shown in the figure above (right), make a hole that penetrates horizontally or vertically from the marked ... | Step 1: The goal is to find the number of non-perforated cubes in a 3D cube based on the marks provided.
Step 2: We need to read the input datasets and extract the positions of the marks, then calculate the number of non-perforated cubes based on these marks.
Step 3: We should define a function to determine the hole... | 08088d36613cd69db863fd35cd6b26fc5b6da4cb00ce0d7e93c7f01d770ed4e7_1_1 | 57f2a2426f5d2d46ff880612205c9c78359126be7e978330e3b4ff7c5506ca2b |
Coding | codecontest | Write Python code to solve the task.
There is a cube which consists of n × n × n small cubes. Small cubes have marks on their surfaces. An example where n = 4 is shown in the following figure.
<image>
Then, as shown in the figure above (right), make a hole that penetrates horizontally or vertically from the marked ... | Step 1: The code reads the dimensions of the cube and the number of marks, and then processes the positions of the marks to calculate the number of non-perforated cubes.
Step 2: The code uses a dictionary to store the positions of the marks and then calculates the number of non-perforated cubes based on the total num... | 97db8ad9e431ede147e11f63305c648d6baf489a9ac60ea231a1b6aad824d95b_1_1 | 57f2a2426f5d2d46ff880612205c9c78359126be7e978330e3b4ff7c5506ca2b |
Coding | codecontest | Write Python code to solve the task.
There is a cube which consists of n × n × n small cubes. Small cubes have marks on their surfaces. An example where n = 4 is shown in the following figure.
<image>
Then, as shown in the figure above (right), make a hole that penetrates horizontally or vertically from the marked ... | Step 1: The problem requires reading the positions and types of marks and counting the number of small cubes with no holes based on the input.
Step 2: To approach this problem, we can use a dictionary to store the positions of the marks based on the plane indicated by ci. We can then iterate through the cubes and cou... | 492221164aa76e5a296cfdee95ff9568a23e182f9ace44257ec71194b2fb4a5b_1_1 | 57f2a2426f5d2d46ff880612205c9c78359126be7e978330e3b4ff7c5506ca2b |
Coding | codecontest | Write Python code to solve the task.
Read a set of coordinates of three different points P1 (x1, y1), P2 (x2, y2), Q (xq, yq) on the plane, and line symmetry with point Q with the straight line passing through point P1 point P2 as the axis of symmetry. Create a program that outputs the point R (x, y) at the position of... | Step 1: The problem requires us to find the point R on the plane, which is at the same distance and angle from the line segment P1P2 as point Q.
Step 2: To solve this problem, we can use the concept of reflection across a line. If we find the reflected point of Q across the line P1P2, we will obtain the required poin... | 118aff0a29db6d1661d6e928ffa0c41df50e2664fe437bdaa9c1c6efc5871a83_1_1 | 14fca6e7cd66db72203e206dca503b8dc63f0e62f0116634c3b0ac004bd93360 |
Coding | codecontest | Write Python code to solve the task.
Read a set of coordinates of three different points P1 (x1, y1), P2 (x2, y2), Q (xq, yq) on the plane, and line symmetry with point Q with the straight line passing through point P1 point P2 as the axis of symmetry. Create a program that outputs the point R (x, y) at the position of... | Step 1:
The goal is to create a program that can find the point R that acts as the symmetrical point of point Q with respect to the straight line passing through points P1 and P2.
We need to use the coordinates of P1, P2, and Q to calculate the coordinates of R based on the given formula for symmetry. We can use con... | b003b633241b41acb904ad5b923479f84ae272e9aaa7bf1708b7f9e6376b5dc3_1_1 | 14fca6e7cd66db72203e206dca503b8dc63f0e62f0116634c3b0ac004bd93360 |
Coding | codecontest | Write Python code to solve the task.
Read a set of coordinates of three different points P1 (x1, y1), P2 (x2, y2), Q (xq, yq) on the plane, and line symmetry with point Q with the straight line passing through point P1 point P2 as the axis of symmetry. Create a program that outputs the point R (x, y) at the position of... | Step 1: To solve this problem, we first need to understand the concept of line symmetry with respect to a given line.
Step 2: We can then implement a program that takes the input coordinates of the three different points and computes the line symmetry with point Q as the axis of symmetry.
Step 3: The program should ... | e50597c290850767adc6ac2db282773f67c4f20a9db2840511a119b80a0d00c9_1_1 | 14fca6e7cd66db72203e206dca503b8dc63f0e62f0116634c3b0ac004bd93360 |
Coding | codecontest | Write Python code to solve the task.
Read a set of coordinates of three different points P1 (x1, y1), P2 (x2, y2), Q (xq, yq) on the plane, and line symmetry with point Q with the straight line passing through point P1 point P2 as the axis of symmetry. Create a program that outputs the point R (x, y) at the position of... | Step 1: This problem requires us to find the point R at the position of symmetry when point Q is not on its axis of symmetry.
Step 2: We can start by defining a function to perform the rotation based on the line of symmetry.
Step 3: Then we can read the input coordinates of the points, perform the rotation, and prin... | b7dd94a0319c2793d5586f416c6589885bc105cea9228d08a2eeea2b8eab4e12_1_1 | 14fca6e7cd66db72203e206dca503b8dc63f0e62f0116634c3b0ac004bd93360 |
Coding | codecontest | Write Python code to solve the task.
Mike has a sequence A = [a1, a2, ..., an] of length n. He considers the sequence B = [b1, b2, ..., bn] beautiful if the gcd of all its elements is bigger than 1, i.e. <image>.
Mike wants to change his sequence in order to make it beautiful. In one move he can choose an index i (1 ... | Step 1: To solve this problem, we need to determine if a given sequence can be made beautiful by modifying the numbers at specific indices.
Step 2: We need to find the minimal number of operations required to make the sequence beautiful, if possible.
Step 3: We can start by calculating the greatest common divisor (g... | ca3fb26313a2ca5acf1c750534000f7d50315fcd132c134477ed52c2bc52699d_1_1 | e65382645210149e8123fbdcc66b7b9e6db35250f167d83f15ef189fd2c2a360 |
Coding | codecontest | Write Python code to solve the task.
Mike has a sequence A = [a1, a2, ..., an] of length n. He considers the sequence B = [b1, b2, ..., bn] beautiful if the gcd of all its elements is bigger than 1, i.e. <image>.
Mike wants to change his sequence in order to make it beautiful. In one move he can choose an index i (1 ... | Step 1: The problem asks us to determine whether it is possible to change a given sequence A to make it beautiful, as well as to find the minimal number of operations needed to do so.
Step 2: In one move, Mike can choose an index i, delete numbers ai, ai + 1 and "mutate" in the corresponding order the numbers (ai - a... | 83b6f7f8b86c34e47a866ac1749f6ebe1e372d11a8dff9f28128a48f1e56e9af_1_1 | e65382645210149e8123fbdcc66b7b9e6db35250f167d83f15ef189fd2c2a360 |
Coding | codecontest | Write Python code to solve the task.
Mike has a sequence A = [a1, a2, ..., an] of length n. He considers the sequence B = [b1, b2, ..., bn] beautiful if the gcd of all its elements is bigger than 1, i.e. <image>.
Mike wants to change his sequence in order to make it beautiful. In one move he can choose an index i (1 ... | Step 1: The problem requires us to determine whether it is possible to convert a given integer sequence into a "beautiful" sequence and, if so, the minimal number of operations needed to do so.
Step 2: The first step is to define a function to calculate the greatest common divisor (GCD) of two numbers, as it is essen... | 73c70c40b1a0399f36d17b1224c1e411e2f370d74b5db77eec277a523fcc1579_1_1 | e65382645210149e8123fbdcc66b7b9e6db35250f167d83f15ef189fd2c2a360 |
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