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Coding
codecontest
Write Python code to solve the task. Bob has a rectangular chocolate bar of the size W Γ— H. He introduced a cartesian coordinate system so that the point (0, 0) corresponds to the lower-left corner of the bar, and the point (W, H) corresponds to the upper-right corner. Bob decided to split the bar into pieces by breaki...
Step 1: The problem requires us to determine the areas of the resulting parts after making several breaks on a rectangular chocolate bar. Step 2: To solve this problem, we can use a grid-based approach to keep track of the parts as they are split by the breaks. Step 3: We need to create a method to process each brea...
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Coding
codecontest
Write Python code to solve the task. In 1862, the lord of Aizu was ordered to serve as a guardian of Kyoto. The Kyoto Shugoshoku is an important role to protect Kyoto at the end of the Edo period when security has deteriorated. You have to patrol the city by sharing it with the shogunate and other clan. However, when i...
Step 1: The problem requires us to check whether three conditions are met based on the input of start point, goal point, and intersection information. Step 2: We need to iterate through the datasets and update nodes to keep track of the connections between intersections. Step 3: After reading each dataset, we need t...
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Coding
codecontest
Write Python code to solve the task. In 1862, the lord of Aizu was ordered to serve as a guardian of Kyoto. The Kyoto Shugoshoku is an important role to protect Kyoto at the end of the Edo period when security has deteriorated. You have to patrol the city by sharing it with the shogunate and other clan. However, when i...
Step 1: The goal is to create a program to judge whether the three conditions are met by inputting the information of the start point, the goal point, and the intersection, and give it to the lord. Step 2: The three conditions are: Step 3: 1. Start point and goal point are both connected to an odd number of intersec...
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Coding
codecontest
Write Python code to solve the task. You are a member of the space station engineering team, and are assigned a task in the construction process of the station. You are expected to write a computer program to complete the task. The space station is made up with a number of units, called cells. All cells are sphere-sha...
Step 1: To solve the problem, we need to calculate the shortest total length of the corridors connecting all cells. Step 2: This can be done by comparing the distances between the centers of each pair of cells and considering the difference between the distance and the sum of their radii. Step 3: We also need to c...
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Coding
codecontest
Write Python code to solve the task. You are a member of the space station engineering team, and are assigned a task in the construction process of the station. You are expected to write a computer program to complete the task. The space station is made up with a number of units, called cells. All cells are sphere-sha...
Step 1: The problem describes a configuration to connect a list of sphere-shaped cells in a space station. Step 2: A corridor must connect cells in the shortest distance possible. This problem requires using the Dijkstra's algorithm to find the shortest path between each pair of cells. Step 3: We can start by defin...
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Coding
codecontest
Write Python code to solve the task. Problem A: Swap crypto A 2D enthusiast at R University, he often writes embarrassing sentences that blush when seen by people. Therefore, in order for a third party to not be able to see the text he is writing, he encrypts the text using a method called swap encryption that he devi...
Step 1: The problem requires us to decrypt a given input text based on the swap operation used for encryption. Step 2: We need to swap the given characters based on their indices and the provided number of swap operations. Step 3: We can start by reading the input N and the message, then reading the pairs of indice...
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Coding
codecontest
Write Python code to solve the task. Problem A: Swap crypto A 2D enthusiast at R University, he often writes embarrassing sentences that blush when seen by people. Therefore, in order for a third party to not be able to see the text he is writing, he encrypts the text using a method called swap encryption that he devi...
Step 1: The given code takes the input for the number of swap operations, the encrypted message, and the swap operations themselves, and then decrypts the encrypted string by reversing the swap operations using the modulo operation to wrap around the alphabet. It then outputs the decrypted string. The solution needs ...
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Coding
codecontest
Write Python code to solve the task. Xenia likes puzzles very much. She is especially fond of the puzzles that consist of domino pieces. Look at the picture that shows one of such puzzles. <image> A puzzle is a 3 Γ— n table with forbidden cells (black squares) containing dominoes (colored rectangles on the picture). A...
Step 1: This code is using dynamic programming to solve the puzzle problem described in the prompt. Step 2: The input l represents the length of the table. Step 3: The m input is a list of 3 strings, each string representing the cells of a single row of the table. Step 4: The dp list is initialized with 1 and 0s to...
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Coding
codecontest
Write Python code to solve the task. Xenia likes puzzles very much. She is especially fond of the puzzles that consist of domino pieces. Look at the picture that shows one of such puzzles. <image> A puzzle is a 3 Γ— n table with forbidden cells (black squares) containing dominoes (colored rectangles on the picture). A...
Step 1: To solve this problem, we need to figure out how many distinct correct puzzles can be created by putting dominoes on the existing table. Step 2: The solution seems to involve dynamic programming and counting the number of ways to create non-conflicting domino placements in each column to get to the bottom whi...
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Coding
codecontest
Write Python code to solve the task. Alexey is travelling on a train. Unfortunately, due to the bad weather, the train moves slower that it should! Alexey took the train at the railroad terminal. Let's say that the train starts from the terminal at the moment 0. Also, let's say that the train will visit n stations num...
Step 1: The problem involves parsing the input to retrieve information about train arrival and departure times at different stations. Step 2: We also need to calculate the extra time needed to travel from each station to the next. Step 3: We then use the information to calculate the time of Alexey's arrival at the l...
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Coding
codecontest
Write Python code to solve the task. Alexey is travelling on a train. Unfortunately, due to the bad weather, the train moves slower that it should! Alexey took the train at the railroad terminal. Let's say that the train starts from the terminal at the moment 0. Also, let's say that the train will visit n stations num...
Step 1: The problem requires calculating the time of Alexey's arrival at the last station given the train schedule and time delays. Step 2: We need to account for the time delays between stations and the time when the train can leave each station. Step 3: To solve this problem, we can follow these steps: Step 4: 1....
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Coding
codecontest
Write Python code to solve the task. C --Misawa's rooted tree Problem Statement You noticed that your best friend Misawa's birthday was near, and decided to give him a rooted binary tree as a gift. Here, the rooted binary tree has the following graph structure. (Figure 1) * Each vertex has exactly one vertex called ...
Step 1: This problem involves creating a new rooted binary tree by synthesizing two existing rooted binary trees. The process requires combining the root nodes of the given trees, as well as the left and right children of each tree, while considering the integer values assigned to each node. This requires recursive tr...
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Coding
codecontest
Write Python code to solve the task. C --Misawa's rooted tree Problem Statement You noticed that your best friend Misawa's birthday was near, and decided to give him a rooted binary tree as a gift. Here, the rooted binary tree has the following graph structure. (Figure 1) * Each vertex has exactly one vertex called ...
Step 1: The problem requires creating a new rooted binary tree by synthesizing two given binary trees. The synthesis involves combining the roots of the input binary trees, adding the values stored in the roots, and recursively synthesizing the left and right children of the given binary trees. We will firstly parse t...
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Coding
codecontest
Write Python code to solve the task. On Chocolate day, Chotu wants to give his girlfriend a box of chocolate. Chotu has a N X N square box and N^2 chocolates each having a distinct sweetness value between 1 and N^2. To make the box look attractive Chotu must fill each row with chocolates arranged in increasing value o...
Step 1: The problem requires us to arrange chocolates in a square box such that each row has chocolates with increasing sweetness values and the total sweetness of the Kth column is maximized. Step 2: We can solve this problem by finding a mathematical formula to calculate the maximum possible sweetness for the Kth c...
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Coding
codecontest
Write Python code to solve the task. On Chocolate day, Chotu wants to give his girlfriend a box of chocolate. Chotu has a N X N square box and N^2 chocolates each having a distinct sweetness value between 1 and N^2. To make the box look attractive Chotu must fill each row with chocolates arranged in increasing value o...
Step 1: To solve this problem, we need to find a way to arrange the chocolates in the box to maximize the total sweetness of the K-th column. Step 2: We can start by reading the input to determine the parameters N and K. Step 3: Then, we need to consider different ways to arrange the chocolates to satisfy the given ...
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Coding
codecontest
Write Python code to solve the task. Dima is a beginner programmer. During his working process, he regularly has to repeat the following operation again and again: to remove every second element from the array. One day he has been bored with easy solutions of this problem, and he has come up with the following extravag...
Step 1: The problem requires us to determine what number will be in the cell with a certain index after following Dima's algorithm. Step 2: According to the algorithm, Dima selects a non-empty array cell with the maximum index and moves the number written in it to the nearest empty cell to the left of the selected on...
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635e2385dcfa074bf3b5a262de70cd6a3c1541ea16d09f21b30685a179f5c354
Coding
codecontest
Write Python code to solve the task. Dima is a beginner programmer. During his working process, he regularly has to repeat the following operation again and again: to remove every second element from the array. One day he has been bored with easy solutions of this problem, and he has come up with the following extravag...
Step 1: The problem is asking us to determine what number will be in a specific cell after performing a series of operations on an array containing n numbers. Step 2: The given algorithm involves moving the numbers in specific ways, and we need to understand the operations to determine the final result for each quer...
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Coding
codecontest
Write Python code to solve the task. 2^k teams participate in a playoff tournament. The tournament consists of 2^k - 1 games. They are held as follows: first of all, the teams are split into pairs: team 1 plays against team 2, team 3 plays against team 4 (exactly in this order), and so on (so, 2^{k-1} games are played ...
Step 1: The task is to implement an algorithm that processes q queries of form p c, where p is an integer and c is a character. The algorithm needs to replace s_p with c and print f(s) as the result of the query. Step 2: The input consists of an integer k and a string s to represent the initial state. The string s de...
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Coding
codecontest
Write Python code to solve the task. 2^k teams participate in a playoff tournament. The tournament consists of 2^k - 1 games. They are held as follows: first of all, the teams are split into pairs: team 1 plays against team 2, team 3 plays against team 4 (exactly in this order), and so on (so, 2^{k-1} games are played ...
Step 1: The problem is asking to process q queries of form (p,c). Given the string s, which consists of 2^k - 1 characters, we need to determine the number of possible winners of the tournament described by the string s. We need to consider all possible replacements of "?" character with either "1" or "0" such that t...
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092af9f7fda594e8695d2ee173466c40be1b2597b4a213d95600a20aba85c8e7
Coding
codecontest
Write Python code to solve the task. Cirno gave AquaMoon a chessboard of size 1 Γ— n. Its cells are numbered with integers from 1 to n from left to right. In the beginning, some of the cells are occupied with at most one pawn, and other cells are unoccupied. In each operation, AquaMoon can choose a cell i with a pawn, ...
Step 1: The problem requires calculating the number of states reachable from the initial state with some sequence of operations. Step 2: We need to find a solution to efficiently count the number of states modulo 998 244 353. Step 3: We'll implement a function to calculate the number of states reachable from the i...
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c10ff769665361c0f9b7ca2dcf480ea999b10044989a1c59a7b9ba1830fdfbba
Coding
codecontest
Write Python code to solve the task. Cirno gave AquaMoon a chessboard of size 1 Γ— n. Its cells are numbered with integers from 1 to n from left to right. In the beginning, some of the cells are occupied with at most one pawn, and other cells are unoccupied. In each operation, AquaMoon can choose a cell i with a pawn, ...
Step 1: The goal is to count the number of states reachable from the initial state with some sequence of operations. Step 2: We need to consider the rules for moving the pawn and how the occupied and unoccupied cells affect each other. Step 3: To solve this problem, we can use dynamic programming to keep track of t...
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c10ff769665361c0f9b7ca2dcf480ea999b10044989a1c59a7b9ba1830fdfbba
Coding
codecontest
Write Python code to solve the task. One day you wanted to read something, so you went to your bookshelf to grab some book. But when you saw how messy the bookshelf was you decided to clean it up first. <image> There are n books standing in a row on the shelf, the i-th book has color a_i. You'd like to rearrange the...
Step 1: To solve this problem, we need to arrange the books on the shelf so that all books of the same color are next to each other. Step 2: We can achieve this by minimizing the number of operations required to rearrange the books. Step 3: We can start by keeping track of the leftmost and rightmost positions of eac...
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9eb02bd2e5637c8fe70e12067392471b17a15843d01253ccabd368379ea651d6
Coding
codecontest
Write Python code to solve the task. One day you wanted to read something, so you went to your bookshelf to grab some book. But when you saw how messy the bookshelf was you decided to clean it up first. <image> There are n books standing in a row on the shelf, the i-th book has color a_i. You'd like to rearrange the...
Step 1: - Based on the input, we need to rearrange the books to ensure that all books of the same color are next to each other. We should aim to minimize the number of operations by moving one book from any position to the right end of the shelf. - To solve this problem, we can use a dynamic programming approach to ca...
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9eb02bd2e5637c8fe70e12067392471b17a15843d01253ccabd368379ea651d6
Coding
codecontest
Write Python code to solve the task. A super computer has been built in the Turtle Academy of Sciences. The computer consists of nΒ·mΒ·k CPUs. The architecture was the paralellepiped of size n Γ— m Γ— k, split into 1 Γ— 1 Γ— 1 cells, each cell contains exactly one CPU. Thus, each CPU can be simultaneously identified as a gro...
Step 1: The problem is asking us to find the number of critical CPUs in the supercomputer that can disrupt the control over other CPUs if turned off. To solve this problem, we need to analyze the state of the CPUs and determine the critical CPUs based on their effect on the control of other CPUs. This involves checkin...
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a676c93d6612677db31174ccd6f302a9e00e1c4b2c3da57ab1cf5759184f18fa
Coding
codecontest
Write Python code to solve the task. A super computer has been built in the Turtle Academy of Sciences. The computer consists of nΒ·mΒ·k CPUs. The architecture was the paralellepiped of size n Γ— m Γ— k, split into 1 Γ— 1 Γ— 1 cells, each cell contains exactly one CPU. Thus, each CPU can be simultaneously identified as a gro...
Step 1: To solve this problem, we need to determine the number of critical CPUs, which are caused by disruption in control when turned off. Step 2: We can start by reading the input that contains the dimensions of the supercomputer and the state of the processes. Step 3: Then, we need to analyze each CPU and its sur...
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a676c93d6612677db31174ccd6f302a9e00e1c4b2c3da57ab1cf5759184f18fa
Coding
codecontest
Write Python code to solve the task. You are given n segments on a coordinate line; each endpoint of every segment has integer coordinates. Some segments can degenerate to points. Segments can intersect with each other, be nested in each other or even coincide. Your task is the following: for every k ∈ [1..n], calcula...
Step 1: We need to count the number of points with integer coordinates such that the number of segments that cover these points equals to i. Step 2: We'll maintain two dictionaries to store the start and end points of the segments. Step 3: Then, we'll calculate the overflow of point segments and calculate the output...
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0e83d78f8d45c8db117d7c3b421a419aecc130562d5750abde5bfb9dcc1c5267
Coding
codecontest
Write Python code to solve the task. You are given n segments on a coordinate line; each endpoint of every segment has integer coordinates. Some segments can degenerate to points. Segments can intersect with each other, be nested in each other or even coincide. Your task is the following: for every k ∈ [1..n], calcula...
Step 1: The task requires us to calculate the number of points with integer coordinates that have a specific number of segments covering them. Step 2: We can achieve this by finding out the segments that cover each integer coordinate and then counting the number of segments for each coordinate. Step 3: After countin...
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0e83d78f8d45c8db117d7c3b421a419aecc130562d5750abde5bfb9dcc1c5267
Coding
codecontest
Write Python code to solve the task. This time the Berland Team Olympiad in Informatics is held in a remote city that can only be reached by one small bus. Bus has n passenger seats, seat i can be occupied only by a participant from the city ai. Today the bus has completed m trips, each time bringing n participants. T...
Step 1: The problem describes a process where participants from different cities are seated on a bus and are then formed into teams based on the city they came from. Step 2: We need to process and analyze the input by forming groups and calculating the remaining participants in the line. Step 3: We also need to cons...
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c064c0e753c470fe71bc3b12ceb7c113d9d54844d23245c4b40a33480dc42dc5
Coding
codecontest
Write Python code to solve the task. This time the Berland Team Olympiad in Informatics is held in a remote city that can only be reached by one small bus. Bus has n passenger seats, seat i can be occupied only by a participant from the city ai. Today the bus has completed m trips, each time bringing n participants. T...
Step 1: The problem involves processing the participants' seating arrangement and forming teams according to specific criteria. We need to determine the number of remaining participants in the line after forming the teams. Step 2: We can approach this problem by iterating through the participants, combining them into...
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c064c0e753c470fe71bc3b12ceb7c113d9d54844d23245c4b40a33480dc42dc5
Coding
codecontest
Write Python code to solve the task. There are N boxes .The i^th box contains ai candies . The frog Om Nom is sitting in box number 1 .Om Nom wants to collect as many candies as he can . However , Om Nom jumps in a peculiar fashion . Om Nom can jump from box number j to box number i only if j | i (j divides i) . Whenev...
Step 1: The problem involves determining the maximum number of candies Om Nom can collect when landing in the last box after moving according to the constraints. Step 2: We need to analyze the jumps that Om Nom can make and calculate the maximum number of candies at each position. Step 3: After calculating the maxim...
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6ec970b2eab504110778ce62ff3accda5f622f5cc9c74af78fa4f04a31832ef6
Coding
codecontest
Write Python code to solve the task. There are N boxes .The i^th box contains ai candies . The frog Om Nom is sitting in box number 1 .Om Nom wants to collect as many candies as he can . However , Om Nom jumps in a peculiar fashion . Om Nom can jump from box number j to box number i only if j | i (j divides i) . Whenev...
Step 1: The problem is essentially asking to find the maximum number of candies that Om Nom can collect for all i from 1 to N if i is the last box that Om Nom visits. Step 2: We need to consider the peculiar jumping fashion of Om Nom and how the number of candies collected at each box changes as the frog jumps from b...
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6ec970b2eab504110778ce62ff3accda5f622f5cc9c74af78fa4f04a31832ef6
Coding
codecontest
Write Python code to solve the task. A few years ago, Hitagi encountered a giant crab, who stole the whole of her body weight. Ever since, she tried to avoid contact with others, for fear that this secret might be noticed. To get rid of the oddity and recover her weight, a special integer sequence is needed. Hitagi's ...
Step 1: The problem involves determining whether it is possible to replace zeros in the sequence "a" with elements from sequence "b" in such a way that the resulting sequence is not increasing. Step 2: To solve this problem, we can define a function that takes the lengths of sequences "a" and "b" as well as the seque...
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661ac26bf68be03c9541c8644d98a36ebb8a8fad03e495233ac41f5ef12ced77
Coding
codecontest
Write Python code to solve the task. A few years ago, Hitagi encountered a giant crab, who stole the whole of her body weight. Ever since, she tried to avoid contact with others, for fear that this secret might be noticed. To get rid of the oddity and recover her weight, a special integer sequence is needed. Hitagi's ...
Step 1: The problem requires us to fill in the zeros in the sequence a with the elements from sequence b and ensure that the resulting sequence is not increasing. Step 2: If the length of sequence b is greater than 1, then it is always possible to create a non-increasing sequence by swapping the positions of the elem...
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661ac26bf68be03c9541c8644d98a36ebb8a8fad03e495233ac41f5ef12ced77
Coding
codecontest
Write Python code to solve the task. Once upon a time there was a girl who loved to garden. This girl liked to work in the garden to plant peas, weed watermelon, and grown all sorts of tasty and interesting fruits and vegetables. In fact, not only did this girl have a green thumb, her whole hand was green! On the first...
Step 1: To solve this problem, we can use a modified version of the Fibonacci sequence to calculate the number of pairs of rabbits and bunnies at each day. Step 2: We can define a dictionary to store the Fibonacci numbers calculated so far, to avoid redundant calculations and speed up the process. Step 3: Then, we c...
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Coding
codecontest
Write Python code to solve the task. Once upon a time there was a girl who loved to garden. This girl liked to work in the garden to plant peas, weed watermelon, and grown all sorts of tasty and interesting fruits and vegetables. In fact, not only did this girl have a green thumb, her whole hand was green! On the first...
Step 1: The problem revolves around calculating the Fibonacci numbers for given input which represents the nth day Step 2: The calculation of the Fibonacci number depends on the input value. We can use a recursive approach and memoization to store the results of subproblems and avoid recalculating the same Fibonacci ...
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3e0179f5b8505688771d9597512faaa9085e9506cc21d48d00bcc866c1064186
Coding
codecontest
Write Python code to solve the task. Problem statement 2D, who is good at cooking, is trying to make lunch. Cooking requires all N ingredients a_ {0}, a_ {1},…, a_ {Nβˆ’1}. Now, 2D's refrigerator doesn't contain any ingredients, so I have to go to the supermarket to buy it. At the supermarket, you can buy the material ...
Step 1: This problem involves finding the minimum sum of prices of ingredients needed to prepare a dish by using the power of magic to minimize the cost. Step 2: We are given the number of ingredients, their prices, and the transformations possible using magic. Step 3: To solve this problem, we could use union-find ...
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Coding
codecontest
Write Python code to solve the task. Problem statement 2D, who is good at cooking, is trying to make lunch. Cooking requires all N ingredients a_ {0}, a_ {1},…, a_ {Nβˆ’1}. Now, 2D's refrigerator doesn't contain any ingredients, so I have to go to the supermarket to buy it. At the supermarket, you can buy the material ...
Step 1: This problem involves the use of union-find data structure to process the magic spells and calculate the minimum sum of the prices of the ingredients. Step 2: We can start by initializing the union-find data structure to process the magic spells and group the ingredients accordingly. Step 3: Then, we need to...
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59b6fd93fdd6354bd779fa53a8a23051174993c3d4a3bb06f50ce237754f92e6
Coding
codecontest
Write Python code to solve the task. Training is indispensable for achieving good results at ICPC. Rabbit wants to win at ICPC, so he decided to practice today as well. Today's training is to develop physical strength and judgment by running on a straight road. The rabbit is now standing at the starting line and looki...
Step 1: The problem is about calculating the shortest time required to reach the goal by running. The speed of the rabbit can vary depending on when they last eat a carrot. The distance to the goal and the placements of the carrots specify the problem. Step 2: The solution includes a simulation of the rabbit's speed...
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8c20f9258c8c8ed8aa0cd7f14bcca3a10e9a70c8683736e931cbb5bb547ef29b
Coding
codecontest
Write Python code to solve the task. Training is indispensable for achieving good results at ICPC. Rabbit wants to win at ICPC, so he decided to practice today as well. Today's training is to develop physical strength and judgment by running on a straight road. The rabbit is now standing at the starting line and looki...
Step 1: The problem presents a scenario of a rabbit trying to reach a goal by running on a long road and eating carrots to accelerate. We need to determine the shortest time required to reach the goal. Step 2: The code reads the input parameters, processes the rabbit's movement, and calculates the time required to re...
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8c20f9258c8c8ed8aa0cd7f14bcca3a10e9a70c8683736e931cbb5bb547ef29b
Coding
codecontest
Write Python code to solve the task. Clash of clans is a very popular game. Each player in the game is allocated a base with certain hit points the player can train a limited number of troops on the base. There are three types of troops: Barbarian, Archers and Giants. The Cost of training a Barbarian is 100, an Archer ...
Step 1: The problem requires us to find the minimum cost of an army with a certain size to destroy an opponent's base within a given time limit. Step 2: We need to consider 3 types of troops: Barbarian, Archer, and Giant, each with different costs and hit points reduction per second. Step 3: We need to check the hit...
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8db820386d748658700dbc6929abf7c36277c64686220f44687fe688d4490032
Coding
codecontest
Write Python code to solve the task. Clash of clans is a very popular game. Each player in the game is allocated a base with certain hit points the player can train a limited number of troops on the base. There are three types of troops: Barbarian, Archers and Giants. The Cost of training a Barbarian is 100, an Archer ...
Step 1: This problem requires us to calculate the minimum cost of the troop that is needed to destroy the opponent's base within the given time limit. Step 2: We should consider the different types of troops, their effectiveness in reducing hit points, and the cost of training them. Step 3: First, we need to calcula...
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8db820386d748658700dbc6929abf7c36277c64686220f44687fe688d4490032
Coding
codecontest
Write Python code to solve the task. You are given a grid, consisting of 2 rows and n columns. Each cell of this grid should be colored either black or white. Two cells are considered neighbours if they have a common border and share the same color. Two cells A and B belong to the same component if they are neighbours...
Step 1: This problem involves dynamic programming to count the number of beautiful bicolorings with exactly k components. Step 2: The main approach to solving this problem is to use dynamic programming to build up the number of bicolorings iteratively based on previous counts and patterns. Step 3: We need to initial...
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caab41af1233539f6568329437a9b92d35f117a0c112fa80920c0d1786515bce
Coding
codecontest
Write Python code to solve the task. You are given a grid, consisting of 2 rows and n columns. Each cell of this grid should be colored either black or white. Two cells are considered neighbours if they have a common border and share the same color. Two cells A and B belong to the same component if they are neighbours...
Step 1: The problem requires counting the number of beautiful bicolorings given the number of columns in the grid and the number of components required. Step 2: To solve this problem, we can use dynamic programming to calculate the number of bicolorings with the required number of components. Step 3: We will iterate...
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caab41af1233539f6568329437a9b92d35f117a0c112fa80920c0d1786515bce
Coding
codecontest
Write Python code to solve the task. She is an extraordinary girl. She works for a library. Since she is young and cute, she is forced to do a lot of laborious jobs. The most annoying job for her is to put returned books into shelves, carrying them by a cart. The cart is large enough to carry many books, but too heavy ...
Step 1: The problem is asking us to find the minimum possible cost for a girl to put all books in the shelves given a specific layout of passages and shelves. Step 2: To approach this problem, we need to understand the layout and characteristics of the library passages and shelves. Step 3: We can use a greedy algor...
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f005ba37d65dfea6a634c8386f85fe89f4c7cd9b3b506be0c4be2930cb0d7c40
Coding
codecontest
Write Python code to solve the task. She is an extraordinary girl. She works for a library. Since she is young and cute, she is forced to do a lot of laborious jobs. The most annoying job for her is to put returned books into shelves, carrying them by a cart. The cart is large enough to carry many books, but too heavy ...
Step 1: The problem involves developing an algorithm to compute the minimum possible cost to put all books in the shelves based on certain rules. Step 2: To determine the minimum possible cost, our algorithm needs to calculate the number of passages, distance between shelves, possible paths, and the corresponding cos...
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f005ba37d65dfea6a634c8386f85fe89f4c7cd9b3b506be0c4be2930cb0d7c40
Coding
codecontest
Write Python code to solve the task. Consider the following equation: <image> where sign [a] represents the integer part of number a. Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" means that there are no such positive intege...
Step 1: The problem requires us to find all integer z for which the given equation is unsolvable in positive integers, and then find the number zn. Step 2: We are given a list of elements and we need to calculate the z, where the given equation is unsolvable in positive integers. Step 3: The equation value is 2^(a[n...
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fabf1dd3dcd47439c1a65d05b62bdf0bfd3823f4b7e81aab93d19eb7c77e93ee
Coding
codecontest
Write Python code to solve the task. Consider the following equation: <image> where sign [a] represents the integer part of number a. Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" means that there are no such positive intege...
Step 1: To solve this problem, we need to find all positive integers z for which the given equation is unsolvable in positive integers. Step 2: The equation involves the integer part of a number, and we need to calculate the result modulo 1000000007 (10^9 + 7). Step 3: We are given a list a that contains predefined ...
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fabf1dd3dcd47439c1a65d05b62bdf0bfd3823f4b7e81aab93d19eb7c77e93ee
Coding
codecontest
Write Python code to solve the task. The goal of 8 Queens Problem is to put eight queens on a chess-board such that none of them threatens any of others. A queen threatens the squares in the same row, in the same column, or on the same diagonals as shown in the following figure. <image> For a given chess board where...
Step 1: The 8 queens problem involves placing 8 queens on a chessboard such that none of the queens threaten each other. Step 2: We can use a recursive algorithm to find the placement of the queens. Step 3: We'll represent the chessboard using a 2D list where 'Q' represents a queen and '.' represents an empty square...
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05f0fdbfb2d225b691fa19c718db6b6c6ba2fe8093cb53bdc2068bcf743e2aa6
Coding
codecontest
Write Python code to solve the task. The goal of 8 Queens Problem is to put eight queens on a chess-board such that none of them threatens any of others. A queen threatens the squares in the same row, in the same column, or on the same diagonals as shown in the following figure. <image> For a given chess board where...
Step 1: We need to find the placement of the 8 Queens on the chessboard such that none of them threaten each other. Step 2: We can achieve this by trying out different permutations of positions for the queens and checking if they are valid placements. Step 3: One way to determine the validity of a placement is to ch...
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05f0fdbfb2d225b691fa19c718db6b6c6ba2fe8093cb53bdc2068bcf743e2aa6
Coding
codecontest
Write Python code to solve the task. You are given an integer N. Among the divisors of N! (= 1 \times 2 \times ... \times N), how many Shichi-Go numbers (literally "Seven-Five numbers") are there? Here, a Shichi-Go number is a positive integer that has exactly 75 divisors. Constraints * 1 \leq N \leq 100 * N is an i...
Step 1: The problem requires finding the number of Shichi-Go numbers (numbers with exactly 75 divisors) among the divisors of N!. Step 2: To solve this, we can calculate the prime factorization of N! and count the powers of the prime factors. Step 3: We can then use the counts of the prime factors to determine the n...
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f10638f28d947cbb8fcea727a733ddb85f77361354b51b306943730187e6935b
Coding
codecontest
Write Python code to solve the task. You are given an integer N. Among the divisors of N! (= 1 \times 2 \times ... \times N), how many Shichi-Go numbers (literally "Seven-Five numbers") are there? Here, a Shichi-Go number is a positive integer that has exactly 75 divisors. Constraints * 1 \leq N \leq 100 * N is an i...
Step 1: The problem requires us to find the number of Shichi-Go numbers among the divisors of N! (1 * 2 * ... * N), where a Shichi-Go number is a positive integer that has exactly 75 divisors. Step 2: To solve this problem, we can start by finding the prime factorization of N!. Step 3: Then we can use the prime fact...
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f10638f28d947cbb8fcea727a733ddb85f77361354b51b306943730187e6935b
Coding
codecontest
Write Python code to solve the task. A false witness that speaketh lies! You are given a sequence containing n integers. There is a variable res that is equal to 0 initially. The following process repeats k times. Choose an index from 1 to n uniformly at random. Name it x. Add to res the multiply of all ai's such tha...
Step 1: The problem deals with the process of choosing an element from the sequence according to certain rules and calculating the expected value of a certain variable. To solve this problem, we need to understand how this process works and then calculate the expected value of the given variable. Step 2: We can start...
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58de78f3f3f86b623dbced502d389e77dc2597aefbab4c8f441247f6b9affd6c
Coding
codecontest
Write Python code to solve the task. A false witness that speaketh lies! You are given a sequence containing n integers. There is a variable res that is equal to 0 initially. The following process repeats k times. Choose an index from 1 to n uniformly at random. Name it x. Add to res the multiply of all ai's such tha...
Step 1: The problem requires understanding of probability and expected value. Step 2: It is mentioned that the process repeats k times and res is initially 0. Step 3: We need to understand the given process and compute the expected value of res at the end of k iterations. Step 4: This involves calculating appropria...
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58de78f3f3f86b623dbced502d389e77dc2597aefbab4c8f441247f6b9affd6c
Coding
codecontest
Write Python code to solve the task. Description You are tasked to determine the kth term of the binomial expansion of the expression (x + y)^n. Input Format The input starts with an integer M > 0, followed by M pairs of integers k, n, where 1 ≀ k ≀ n+1 and 0 < n < 1000. Output Format For every pair of integers k,...
Step 1: To solve this problem, we need to calculate the kth term of the binomial expansion of the expression (x + y)^n. Step 2: We can use the combination formula to calculate the coefficients and use the powers of x and y to determine the output format. Step 3: The given code uses the nCr function to calculate the ...
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4740546f11891b04e6831930ae4bdf339bb7d2f3b94387c1ce5ed4bc5fa592f7
Coding
codecontest
Write Python code to solve the task. Description You are tasked to determine the kth term of the binomial expansion of the expression (x + y)^n. Input Format The input starts with an integer M > 0, followed by M pairs of integers k, n, where 1 ≀ k ≀ n+1 and 0 < n < 1000. Output Format For every pair of integers k,...
Step 1: The problem requires calculating the kth term of the binomial expansion of the expression (x + y)^n for given pairs of k and n. Step 2: We need to implement the mathematical function nCr (n choose r) to calculate the coefficient. Step 3: Then, we need to format the output based on the calculated coefficient ...
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4740546f11891b04e6831930ae4bdf339bb7d2f3b94387c1ce5ed4bc5fa592f7
Coding
codecontest
Write Python code to solve the task. The only difference between easy and hard versions is the length of the string. You can hack this problem if you solve it. But you can hack the previous problem only if you solve both problems. Kirk has a binary string s (a string which consists of zeroes and ones) of length n and ...
Step 1: The problem requires us to find a binary string t that satisfies two conditions: Step 2: 1. For any substring of s, the length of the longest non-decreasing substring of t should be equal to that of s. Step 3: 2. The number of zeroes in t should be the maximum possible. Step 4: To solve this, we can itera...
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1ab89328b0f4add3c8189f975f4602e55c3d64989a918b0b6162de2c89844da8
Coding
codecontest
Write Python code to solve the task. The only difference between easy and hard versions is the length of the string. You can hack this problem if you solve it. But you can hack the previous problem only if you solve both problems. Kirk has a binary string s (a string which consists of zeroes and ones) of length n and ...
Step 1: The problem involves finding a binary string 't' of the same length as the input binary string 's' that satisfies certain conditions related to non-decreasing subsequences and the number of zeroes. Step 2: We can iterate through the input binary string 's' and construct the output binary string 't' by manipul...
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1ab89328b0f4add3c8189f975f4602e55c3d64989a918b0b6162de2c89844da8
Coding
codecontest
Write Python code to solve the task. An bydrocarbon is an organic compound which contains only carbons and hydrogens. An isomer is a compound that has the same number of carbons but different structures. Heptane, for example, is a hydrocarbon with 7 carbons. It has nine isomers. The structural formula of three are show...
Step 1: The problem requires us to find the number of carbons of the largest possible carbon compound whose longest carbon chain has a given number of carbons. Step 2: We need to identify a pattern or formula that can be used to calculate the number of carbons for a given chain length. Step 3: To solve this problem,...
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fda6a0224e2d10fdb9bc5929d6439262f5cfcaa7937f1023ebf45622dc978e56
Coding
codecontest
Write Python code to solve the task. An bydrocarbon is an organic compound which contains only carbons and hydrogens. An isomer is a compound that has the same number of carbons but different structures. Heptane, for example, is a hydrocarbon with 7 carbons. It has nine isomers. The structural formula of three are show...
Step 1: To solve this problem, we need to determine the number of carbons of the largest possible carbon compound whose longest carbon chain has n carbons. Step 2: We can approach this problem by considering the different cases based on the value of n and applying a mathematical formula to calculate the number of car...
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fda6a0224e2d10fdb9bc5929d6439262f5cfcaa7937f1023ebf45622dc978e56
Coding
codecontest
Write Python code to solve the task. There are n persons who initially don't know each other. On each morning, two of them, who were not friends before, become friends. We want to plan a trip for every evening of m days. On each trip, you have to select a group of people that will go on the trip. For every person, one...
Step 1: The problem requires us to simulate the process of individuals becoming friends over a series of days and then determine the maximum number of people that can go on the trip each evening based on the friendship criteria. Step 2: We need to consider how friendships affect the group size and update the group si...
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b473753481f6d3b1c200adf0abd0e5a952909e6bc12710dea3cdfb69060136e7
Coding
codecontest
Write Python code to solve the task. There are n persons who initially don't know each other. On each morning, two of them, who were not friends before, become friends. We want to plan a trip for every evening of m days. On each trip, you have to select a group of people that will go on the trip. For every person, one...
Step 1: The problem requires us to find the maximum number of people eligible to go on a trip on each evening based on their friendships. Step 2: We need to keep track of the friendships and the number of friends for each person. Step 3: We can start by representing the friendships as a graph, where each person is a...
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b473753481f6d3b1c200adf0abd0e5a952909e6bc12710dea3cdfb69060136e7
Coding
codecontest
Write Python code to solve the task. You are given a permutation p_1, p_2, …, p_n. In one move you can swap two adjacent values. You want to perform a minimum number of moves, such that in the end there will exist a subsegment 1,2,…, k, in other words in the end there should be an integer i, 1 ≀ i ≀ n-k+1 such that p...
Step 1: To solve the problem, we should aim to find the minimum number of moves required to make a subsegment with values 1, 2, ..., k appear in the permutation. Step 2: We can use the concept of Fenwick trees to efficiently calculate the minimum number of moves. Step 3: The calculation of the minimum number of move...
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c7a7dc49e0bee0248ca2a79cf560f582dcc845bdb73c8d1e88b6f319b50b9abd
Coding
codecontest
Write Python code to solve the task. You are given a permutation p_1, p_2, …, p_n. In one move you can swap two adjacent values. You want to perform a minimum number of moves, such that in the end there will exist a subsegment 1,2,…, k, in other words in the end there should be an integer i, 1 ≀ i ≀ n-k+1 such that p...
Step 1: The given problem is to find the minimum number of moves required to create a subsegment with values 1, 2, ..., k in the permutation for k=1, 2, …, n. Step 2: To approach this problem, we can use a prefix sum array and Binary Indexed Tree (BIT) to efficiently calculate the answer for each k. Step 3: The key...
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c7a7dc49e0bee0248ca2a79cf560f582dcc845bdb73c8d1e88b6f319b50b9abd
Coding
codecontest
Write Python code to solve the task. Igor is a post-graduate student of chemistry faculty in Berland State University (BerSU). He needs to conduct a complicated experiment to write his thesis, but laboratory of BerSU doesn't contain all the materials required for this experiment. Fortunately, chemical laws allow mater...
Step 1: To solve this problem, we need to simulate the transformation of materials to determine if it is possible to conduct the experiment with the given supplies and required amounts. Step 2: We can start by reading the input, including the number of materials, the available supplies, the required amounts, and the ...
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6a7addb453dcca9c7f3f001494a698330f5d0063c8b0da5abeec668a04d6a7bf
Coding
codecontest
Write Python code to solve the task. Igor is a post-graduate student of chemistry faculty in Berland State University (BerSU). He needs to conduct a complicated experiment to write his thesis, but laboratory of BerSU doesn't contain all the materials required for this experiment. Fortunately, chemical laws allow mater...
Step 1: The given problem involves material transformations based on specific rules for each material. Step 2: We need to check if it is possible to conduct the experiment given the supplies and the amounts required for the experiment. Step 3: The transformation rules need to be taken into consideration while making...
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6a7addb453dcca9c7f3f001494a698330f5d0063c8b0da5abeec668a04d6a7bf
Coding
codecontest
Write Python code to solve the task. You are given a binary matrix A of size n Γ— n. Let's denote an x-compression of the given matrix as a matrix B of size n/x Γ— n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x βŒ‰][⌈ j/x βŒ‰] is met. Obviously, x-compression is possible only if x divides n, ...
Step 1: We need to find the maximum x such that an x-compression of a given matrix is possible. Step 2: The input is given in compressed form, and we need to use fast input to read the input data efficiently. Step 3: We can start by reading the input data and storing it as a binary matrix. Then, we can check for pos...
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d6b6a16e696acf3d7a39df712cfcb86aab08461efc1d3499bd2705a725ee7a0b
Coding
codecontest
Write Python code to solve the task. You are given a binary matrix A of size n Γ— n. Let's denote an x-compression of the given matrix as a matrix B of size n/x Γ— n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x βŒ‰][⌈ j/x βŒ‰] is met. Obviously, x-compression is possible only if x divides n, ...
Step 1: The problem requires us to find the maximum value of x that makes an x-compression of the input matrix possible. Step 2: We will need to read the input matrix and check if it can be compressed for different values of x. Step 3: We can iterate over possible values of x and check if x can be used to compress t...
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d6b6a16e696acf3d7a39df712cfcb86aab08461efc1d3499bd2705a725ee7a0b
Coding
codecontest
Write Python code to solve the task. Please note the non-standard memory limit. There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i. After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i β‰  tag_j. Af...
Step 1: The problem involves finding the optimal sequence of solving problems to earn the maximum number of points. Step 2: We need to consider the constraints regarding the change in IQ and the tag of the problem. Step 3: To solve this problem, we need to use dynamic programming. We can use an array to store the ma...
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2eb2dfd383f1832b0c29b3f4f60865808aad7757d300f20bc6835ae49146b874
Coding
codecontest
Write Python code to solve the task. Please note the non-standard memory limit. There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i. After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i β‰  tag_j. Af...
Step 1: The problem involves finding the maximum number of points that can be earned by solving problems with certain tags and scores under certain conditions. Step 2: We need to consider the relationship between solving problems based on the tags and scores of the problems and the change in IQ variable based on the ...
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2eb2dfd383f1832b0c29b3f4f60865808aad7757d300f20bc6835ae49146b874
Coding
codecontest
Write Python code to solve the task. New Year is coming, and Jaehyun decided to read many books during 2015, unlike this year. He has n books numbered by integers from 1 to n. The weight of the i-th (1 ≀ i ≀ n) book is wi. As Jaehyun's house is not large enough to have a bookshelf, he keeps the n books by stacking the...
Step 1: To solve this problem, we need to find a way to minimize the total weight of books Jaehyun should lift by rearranging the stacked books. Step 2: We need to consider the weight of each book and the order of books Jaehyun plans to read. Step 3: We can iterate through the order of books to be read, reorganize t...
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f25ede8d37ea5dcdfa54097487be03a422a5996dec80b475d18a3c2833750da5
Coding
codecontest
Write Python code to solve the task. New Year is coming, and Jaehyun decided to read many books during 2015, unlike this year. He has n books numbered by integers from 1 to n. The weight of the i-th (1 ≀ i ≀ n) book is wi. As Jaehyun's house is not large enough to have a bookshelf, he keeps the n books by stacking the...
Step 1: To solve this problem, we need to minimize the total weight of books that Jaehyun should lift by rearranging the order of the stacked books. Step 2: We can start by reading the input values for the number of books, the number of days for reading books, the weights of each book, and the order of books that Jae...
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f25ede8d37ea5dcdfa54097487be03a422a5996dec80b475d18a3c2833750da5
Coding
codecontest
Write Python code to solve the task. You are given an undirected graph consisting of n vertices and <image> edges. Instead of giving you the edges that exist in the graph, we give you m unordered pairs (x, y) such that there is no edge between x and y, and if some pair of vertices is not listed in the input, then there...
Step 1: To solve this problem, we need to find the number of connected components in the graph as well as the size of each component. Step 2: We can start by parsing the input to build the graph representation using adjacency lists. We'll use the given pairs of vertices (x, y) to identify the absent edges and build t...
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114a0ee9d32293255aceffd9fa7814ddba9f9d382c138a05a2cdf1275567263e
Coding
codecontest
Write Python code to solve the task. You are given an undirected graph consisting of n vertices and <image> edges. Instead of giving you the edges that exist in the graph, we give you m unordered pairs (x, y) such that there is no edge between x and y, and if some pair of vertices is not listed in the input, then there...
Step 1: The problem requires finding the number of connected components in an undirected graph and the size of each component. Step 2: We can approach this problem by using Depth First Search (DFS) to traverse the graph and identify connected components. Step 3: We will iterate through the vertices and perform DFS f...
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114a0ee9d32293255aceffd9fa7814ddba9f9d382c138a05a2cdf1275567263e
Coding
codecontest
Write Python code to solve the task. You are given an infinite checkered field. You should get from a square (x1; y1) to a square (x2; y2). Using the shortest path is not necessary. You can move on the field squares in four directions. That is, when you are positioned in any square, you can move to any other side-neigh...
Step 1: The prompt is asking to calculate the minimum number of bad cells one will have to visit in order to travel from square (x1, y1) to square (x2, y2) given two conditions on bad cells. Step 2: The conditions are based on modular arithmetic, and we need to compare the distance between (x1, y1) and (x2, y2) regar...
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33ebc554325bb58ba40d60de72751ed8d5c6111ecc88c26d4fe78c3e0eaf570b
Coding
codecontest
Write Python code to solve the task. You are given an infinite checkered field. You should get from a square (x1; y1) to a square (x2; y2). Using the shortest path is not necessary. You can move on the field squares in four directions. That is, when you are positioned in any square, you can move to any other side-neigh...
Step 1: The problem is asking to find the minimum number of bad cells one will have to visit in order to travel from square (x1; y1) to square (x2; y2). Step 2: We can determine the number of bad cells one will have to visit by considering the conditions that make a cell bad and finding the maximum value between da o...
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33ebc554325bb58ba40d60de72751ed8d5c6111ecc88c26d4fe78c3e0eaf570b
Coding
codecontest
Write Python code to solve the task. Ilya is an experienced player in tic-tac-toe on the 4 Γ— 4 field. He always starts and plays with Xs. He played a lot of games today with his friend Arseny. The friends became tired and didn't finish the last game. It was Ilya's turn in the game when they left it. Determine whether I...
Step 1: The problem requires us to determine whether Ilya could have won the tic tac toe game by making a single move. Step 2: Given the game board, we need to check if placing an 'x' in any empty cell will lead Ilya to win the game. Step 3: We can check all possible empty cells and simulate placing an 'x' in each o...
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8328bf17eaad7a4f45977087aa96e295211b7c954f215dec6381312fab06eb3c
Coding
codecontest
Write Python code to solve the task. Ilya is an experienced player in tic-tac-toe on the 4 Γ— 4 field. He always starts and plays with Xs. He played a lot of games today with his friend Arseny. The friends became tired and didn't finish the last game. It was Ilya's turn in the game when they left it. Determine whether I...
Step 1: The given problem involves checking whether Ilya could have won the game in a single turn. We need to understand the rules of tic-tac-toe on a 4x4 field and implement a function to check if Ilya could have won the game by making a single turn. Step 2: We should also define a function to check for victory cond...
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8328bf17eaad7a4f45977087aa96e295211b7c954f215dec6381312fab06eb3c
Coding
codecontest
Write Python code to solve the task. There is a frog known as "CHAMELEON" because he has a special feature to change its body's color similar to stone's color on which he sits. There are N colorful stones lying in a row, but of only 1 to 100 different colors. Frog can hopp on another stone if the stone has same color a...
Step 1: The problem involves finding the minimum number of jumps a frog needs to take to reach a certain position, given a row of colorful stones. Step 2: We can use a Breadth-First Search (BFS) algorithm to find the shortest path from the starting stone to the destination stone. Step 3: We also need to implement a ...
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07afd9412ddce43d97115e205ff4e46c3adeda93edcbff14d66cbd858bc19c09
Coding
codecontest
Write Python code to solve the task. There is a frog known as "CHAMELEON" because he has a special feature to change its body's color similar to stone's color on which he sits. There are N colorful stones lying in a row, but of only 1 to 100 different colors. Frog can hopp on another stone if the stone has same color a...
Step 1: The goal is to create a class for the frog, implement a method to perform depth-first search (DFS) and breadth-first search (BFS), and then use these methods to find the minimum number of jumps needed for the frog to reach its destination. Step 2: The class should be initialized with the number of stones and ...
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07afd9412ddce43d97115e205ff4e46c3adeda93edcbff14d66cbd858bc19c09
Coding
codecontest
Write Python code to solve the task. Given a string, S, we define some operations on the string as follows: a. reverse(S) denotes the string obtained by reversing string S. E.g.: reverse("abc") = "cba" b. shuffle(S) denotes any string that's a permutation of string S. E.g.: shuffle("god") ∈ ['god', 'gdo', 'ogd', 'odg...
Step 1: The problem asks us to find the lexicographically smallest string A that fulfills the condition S∈merge(reverse(A), shuffle(A)). Step 2: To solve the problem, we need to examine the string S and its properties, such as characters, positions, and permutations. Step 3: The solution uses the bisect_left functio...
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e1516765c9fc62f9ba4fe122ee072a9e5f13e0d9ebb1da954ee2ffda3fc2be82
Coding
codecontest
Write Python code to solve the task. Given a string, S, we define some operations on the string as follows: a. reverse(S) denotes the string obtained by reversing string S. E.g.: reverse("abc") = "cba" b. shuffle(S) denotes any string that's a permutation of string S. E.g.: shuffle("god") ∈ ['god', 'gdo', 'ogd', 'odg...
Step 1: To solve this problem, we are given a string S and need to find the lexicographically smallest A based on certain operations. The operations include reversing the string, shuffling the string, and merging two strings. Step 2: We need to convert the given logic into code and implement the steps needed to split...
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e1516765c9fc62f9ba4fe122ee072a9e5f13e0d9ebb1da954ee2ffda3fc2be82
Coding
codecontest
Write Python code to solve the task. The blinds are known to consist of opaque horizontal stripes that can be rotated thus regulating the amount of light flowing in the room. There are n blind stripes with the width of 1 in the factory warehouse for blind production. The problem is that all of them are spare details fr...
Step 1: The problem requires finding the maximum area of a window that can be completely covered with blinds made from the given stripes while respecting certain rules. Step 2: To solve this, we need to find the maximum length of the initial stripes and the minimum acceptable length of a blind stripe. Step 3: Then ...
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df2ffa7f596d17cbc857c588d39a46542e0bd658cd35a268aab11a8056bd0ef0
Coding
codecontest
Write Python code to solve the task. The blinds are known to consist of opaque horizontal stripes that can be rotated thus regulating the amount of light flowing in the room. There are n blind stripes with the width of 1 in the factory warehouse for blind production. The problem is that all of them are spare details fr...
Step 1: The problem requires finding the maximal area of a window in square bourlemeters that can be completely covered by blinds made from the given stripes. Step 2: To find the maximal area, we need to consider the lengths of the initial stripes and how they can be cut to form blinds that cover the window. Step 3: ...
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df2ffa7f596d17cbc857c588d39a46542e0bd658cd35a268aab11a8056bd0ef0
Coding
codecontest
Write Python code to solve the task. A chessboard n Γ— m in size is given. During the zero minute we repaint all the black squares to the 0 color. During the i-th minute we repaint to the i color the initially black squares that have exactly four corner-adjacent squares painted i - 1 (all such squares are repainted simu...
Step 1: The problem requires us to determine the number of squares that will be painted exactly x times based on specific rules and input. Step 2: We need to understand the rules for painting squares and their interactions with various inputs (n, m, and x). Step 3: We'll have to implement a function to calculate th...
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43900f0db8cb9071d6b60964101cfd07474f3daa8b11bdf4bc0d58f9ff9e89ec
Coding
codecontest
Write Python code to solve the task. A chessboard n Γ— m in size is given. During the zero minute we repaint all the black squares to the 0 color. During the i-th minute we repaint to the i color the initially black squares that have exactly four corner-adjacent squares painted i - 1 (all such squares are repainted simu...
Step 1: We need to solve the problem of determining the number of squares repainted exactly x times on a given chessboard. Step 2: To solve this problem, we need to consider how the repainting process occurs based on the given rules and how to calculate the number of squares painted exactly x times. Step 3: We also ...
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43900f0db8cb9071d6b60964101cfd07474f3daa8b11bdf4bc0d58f9ff9e89ec
Coding
codecontest
Write Python code to solve the task. Andrew and Jerry are playing a game with Harry as the scorekeeper. The game consists of three rounds. In each round, Andrew and Jerry draw randomly without replacement from a jar containing n balls, each labeled with a distinct positive integer. Without looking, they hand their ball...
Step 1: To solve this problem, we first need to understand the given input and the outputs expected. Step 2: We need to determine the probability that the sum of the three balls Jerry drew is strictly higher than the sum of the three balls Andrew drew, given that Andrew wins the first two rounds and Jerry wins the th...
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2dc5181cbc5183bb937223e8cf5b3eb3bf0d5a98ab49cd2e3b4a40d325329b6d
Coding
codecontest
Write Python code to solve the task. Andrew and Jerry are playing a game with Harry as the scorekeeper. The game consists of three rounds. In each round, Andrew and Jerry draw randomly without replacement from a jar containing n balls, each labeled with a distinct positive integer. Without looking, they hand their ball...
Step 1: The goal is to calculate the probability that the sum of the three balls Jerry drew is strictly higher than the sum of the three balls Andrew drew, given that Andrew wins the first two rounds and Jerry wins the third. To do this, we need to consider all possible combinations of the balls drawn by Andrew and Je...
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2dc5181cbc5183bb937223e8cf5b3eb3bf0d5a98ab49cd2e3b4a40d325329b6d
Coding
codecontest
Write Python code to solve the task. Vasya's telephone contains n photos. Photo number 1 is currently opened on the phone. It is allowed to move left and right to the adjacent photo by swiping finger over the screen. If you swipe left from the first photo, you reach photo n. Similarly, by swiping right from the last ph...
Step 1: The solution to this problem involves iterating through the photos, tracking the time spent for each operation, and finding the maximum number of photos Vasya can watch during the given time T. Step 2: We can use two different approaches to find the maximum number of photos, either moving left-to-right or rig...
63f6e5ef204f5c52f4be6e2f3a560334ae4bc9c88c63b77a79d47cc1ef7115ff_1_1
0ce424d341cfb47bcace755be281a99c29a7bba40145f804d9fc175eea96179f
Coding
codecontest
Write Python code to solve the task. Vasya's telephone contains n photos. Photo number 1 is currently opened on the phone. It is allowed to move left and right to the adjacent photo by swiping finger over the screen. If you swipe left from the first photo, you reach photo n. Similarly, by swiping right from the last ph...
Step 1: The problem describes how Vasya can maximize the number of photos he can watch during the given time frame. The time is divided between moving between photos and rotating them, and he must spend additional time if the photo is in the wrong orientation. Step 2: To solve this problem, we can keep track of the t...
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0ce424d341cfb47bcace755be281a99c29a7bba40145f804d9fc175eea96179f
Coding
codecontest
Write Python code to solve the task. Dr. Asimov, a robotics researcher, released cleaning robots he developed (see Problem B). His robots soon became very popular and he got much income. Now he is pretty rich. Wonderful. First, he renovated his house. Once his house had 9 rooms that were arranged in a square, but now ...
Step 1: The problem requires us to generate a carpet layout based on the grid size N and K such that it satisfies the given conditions. Step 2: To solve the problem, we need to process the input, generate the appropriate carpet layout, and output the result. Step 3: We should also handle the case where no valid layo...
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6bc2412f20bde100cba4118a7825b6abefdf26b5d2b8659ad42716f900ce7aaa
Coding
codecontest
Write Python code to solve the task. Dr. Asimov, a robotics researcher, released cleaning robots he developed (see Problem B). His robots soon became very popular and he got much income. Now he is pretty rich. Wonderful. First, he renovated his house. Once his house had 9 rooms that were arranged in a square, but now ...
Step 1: The problem deals with finding a valid carpet layout such that dust that stacks on any room at any time will eventually be cleaned by robots. Step 2: The algorithm needs to generate a valid carpet layout based on N and K. Step 3: We'll have to calculate the K-th one lexicographically and output it if it exis...
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6bc2412f20bde100cba4118a7825b6abefdf26b5d2b8659ad42716f900ce7aaa
Coding
codecontest
Write Python code to solve the task. Lucy likes letters. She studied the definition of the lexicographical order at school and plays with it. At first, she tried to construct the lexicographically smallest word out of given letters. It was so easy! Then she tried to build multiple words and minimize one of them. This ...
Step 1: The problem requires building n words of length l each out of the given n β‹… l letters in such a way that the k-th word in lexicographical order is as small as possible. Step 2: It also appears that the solution uses a sorting algorithm to solve the problem. Step 3: The code comprises of several steps: Step ...
208c43c40c7fee0ad0ee70ce99ab53db6c4c438cc375e90fea20257a522afb63_1_1
e5f571054638b534b6bedbdc13d773e0ce7b69a22d368b088bee5ba147f769b4
Coding
codecontest
Write Python code to solve the task. Lucy likes letters. She studied the definition of the lexicographical order at school and plays with it. At first, she tried to construct the lexicographically smallest word out of given letters. It was so easy! Then she tried to build multiple words and minimize one of them. This ...
Step 1: This problem involves constructing n words of length l using the given letters in such a way that the k-th word is lexicographically as small as possible. Step 2: We need to sort the given letters in descending order. Step 3: Then we need to distribute the sorted letters among the n words such that the k-th ...
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e5f571054638b534b6bedbdc13d773e0ce7b69a22d368b088bee5ba147f769b4
Coding
codecontest
Write Python code to solve the task. Lena is the most economical girl in Moscow. So, when her dad asks her to buy some food for a trip to the country, she goes to the best store β€” "PriceFixed". Here are some rules of that store: * The store has an infinite number of items of every product. * All products have the...
Step 1: The goal of this problem is to minimize the amount of money Lena spends on buying various products. Step 2: We need to consider the discounts available for the products and determine the optimal order of purchasing. Step 3: To solve this problem, we can use sorting to consider the products with discounts fir...
91f78289c9d31b1bd9746eee960aca86105cd21ad29a8f084272afa81e0e936d_1_1
5fed6f8117c88aecd73680393e64b061bbd750773ea2bc31bfb5f9486c1911fa
Coding
codecontest
Write Python code to solve the task. Lena is the most economical girl in Moscow. So, when her dad asks her to buy some food for a trip to the country, she goes to the best store β€” "PriceFixed". Here are some rules of that store: * The store has an infinite number of items of every product. * All products have the...
Step 1: To solve this problem, we need to find the minimum sum spent by Lena when purchasing products. Step 2: We will calculate the total amount spent using the conditions provided and find the minimum sum by choosing the optimal order of purchasing. Step 3: Hence, we can sort the products by the required number o...
62fd5bf8c15b975449ec606879809370384e79536d0618ef09c7352568406069_1_1
5fed6f8117c88aecd73680393e64b061bbd750773ea2bc31bfb5f9486c1911fa
Coding
codecontest
Write Python code to solve the task. You can perfectly predict the price of a certain stock for the next N days. You would like to profit on this knowledge, but only want to transact one share of stock per day. That is, each day you will either buy one share, sell one share, or do nothing. Initially you own zero shares...
Step 1: To solve this problem, we need to maximize our profit by buying and selling stocks based on their prices over a given number of days. Step 2: We can use a straightforward approach such as greedily buying low and selling high to maximize the profit. Step 3: We also need to consider edge cases such as the case...
20be883e14b236dc59e7dae7aac76803438f658948c102ca5c706e962f4255f7_1_1
5c755b4c44cf5d199163c8465e048d3948a6f13d86d4beb6a990e43d07ae6543
Coding
codecontest
Write Python code to solve the task. You can perfectly predict the price of a certain stock for the next N days. You would like to profit on this knowledge, but only want to transact one share of stock per day. That is, each day you will either buy one share, sell one share, or do nothing. Initially you own zero shares...
Step 1: To solve the problem, we need to determine the maximum amount of money that can be made by buying and selling shares on different days. We can use a heap data structure to keep track of the potential profits on each day and select the maximum profit. We also need to keep track of the total amount of money made...
37cd16ce48ce02840540ccf51eeb89f1d475a86dd27ce20455ce3ddbc4778d62_1_1
5c755b4c44cf5d199163c8465e048d3948a6f13d86d4beb6a990e43d07ae6543
Coding
codecontest
Write Python code to solve the task. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * ...
Step 1: This problem appears to be an example of dynamic programming. The task is to find the maximum number of souvenirs they can get using a given array of souvenir values and constraints concerning the number of allowable movements. Step 2: It seems that the problem involves some kind of iteration over the input ...
6651ee787e70f019d4f434a4ce44d7de34e6cd0d5510255481dae1c83b97130b_1_1
7344c633724a66c65be68dae8dd448d54d7e119f7f3ce64e6a067d675ea38cf5
Coding
codecontest
Write Python code to solve the task. Input The input is given from standard input in the following format. > $H \ W$ $a_{1, 1} \ a_{1, 2} \ \cdots \ a_{1, W}$ $a_{2, 1} \ a_{2, 2} \ \cdots \ a_{2, W}$ $\vdots \ \ \ \ \ \ \ \ \ \ \vdots \ \ \ \ \ \ \ \ \ \ \vdots$ $a_{H, 1} \ a_{H, 2} \ \cdots \ a_{H, W}$ Output * ...
Step 1: The problem mentions that we need to calculate the maximum number of souvenirs that they can get. This seems related to dynamic programming where we need to find the optimal solution based on the given constraints. Step 2: The line "dp=[[[0]*(h+1) for _ in xrange(w+1)] for _ in xrange(h+1)]" creates a 3-dimen...
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Coding
codecontest
Write Python code to solve the task. Vasya's house is situated in a forest, and there is a mushroom glade near it. The glade consists of two rows, each of which can be divided into n consecutive cells. For each cell Vasya knows how fast the mushrooms grow in this cell (more formally, how many grams of mushrooms grow in...
Step 1: This problem involves visiting every two consecutive cells and choosing an optimal route that maximizes the total weight of collected mushrooms. Step 2: To solve this task, we can consider using a math logic and looping through all the possible routes to find the optimal route. Step 3: We need to consider th...
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