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Coding
codecontest
Write Python code to solve the task. Problem Statement The Animal School is a primary school for animal children. You are a fox attending this school. One day, you are given a problem called "Arithmetical Restorations" from the rabbit teacher, Hanako. Arithmetical Restorations are the problems like the following: * ...
Step 1: The program reads three input strings A, B, and C Step 2: It reads until the input is 0 to stop. Step 3: The program should output the number of possible assignments to the given problem modulo 1,000,000,007 for each dataset. Step 4: We need to find the way to generate all the possible valid assignments for...
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Coding
codecontest
Write Python code to solve the task. Polycarpus likes giving presents to Paraskevi. He has bought two chocolate bars, each of them has the shape of a segmented rectangle. The first bar is a1 Γ— b1 segments large and the second one is a2 Γ— b2 segments large. Polycarpus wants to give Paraskevi one of the bars at the lunc...
Step 1: To determine the minimum number of minutes required for Polycarpus to make two chocolate bars to form an equal number of square segments and also find the possible sizes of the bars after the process, we will try to reduce the number of squares until both bars are of the same size. Step 2: We will define a fu...
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Coding
codecontest
Write Python code to solve the task. An army of n droids is lined up in one row. Each droid is described by m integers a1, a2, ..., am, where ai is the number of details of the i-th type in this droid's mechanism. R2-D2 wants to destroy the sequence of consecutive droids of maximum length. He has m weapons, the i-th we...
Step 1: To solve this problem, we need to come up with a strategy to keep track of the number of shots required to destroy the sequence of consecutive droids of maximum length. Step 2: We should consider using a two-pointers approach to iterate through the droids and keep track of the details to be destroyed. Step 3:...
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Coding
codecontest
Write Python code to solve the task. There are N points in a two-dimensional plane. The initial coordinates of the i-th point are (x_i, y_i). Now, each point starts moving at a speed of 1 per second, in a direction parallel to the x- or y- axis. You are given a character d_i that represents the specific direction in wh...
Step 1: The problem requires finding the minimum possible value of the expression (x_{max} - x_{min}) \times (y_{max} - y_{min}). Step 2: The coordinates and directions of the points are given as input, and the points move in the specified character direction. Step 3: We need to calculate the range of x and y coord...
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Coding
codecontest
Write Python code to solve the task. There are n points on a plane. The i-th point has coordinates (x_i, y_i). You have two horizontal platforms, both of length k. Each platform can be placed anywhere on a plane but it should be placed horizontally (on the same y-coordinate) and have integer borders. If the left border...
Step 1: The problem requires us to find the maximum number of points we can save if we place two platforms optimally. Step 2: We need to optimize the placement of the platforms so that we save as many points as possible. Step 3: To achieve this, we need to consider the x-coordinates of the points and calculate the...
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Coding
codecontest
Write Python code to solve the task. Valera loves to participate in competitions. Especially in programming contests. Today he has participated in the contest with his team, consisting of n students (including Valera). This contest was an individual competition, so each student in the team solved problems individually....
Step 1: The problem requires distributing points to n students in a way that abides by certain conditions, such as scoring within a certain range and adding up to a specific total score. Step 2: We need to formulate a solution that considers different conditions such as number of students, scores, and totals. Step 3:...
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Coding
codecontest
Write Python code to solve the task. For long time scientists study the behavior of sharks. Sharks, as many other species, alternate short movements in a certain location and long movements between locations. Max is a young biologist. For n days he watched a specific shark, and now he knows the distance the shark trav...
Step 1: The problem requires finding an integer k that maximizes the number of locations the shark visited. Step 2: To solve this problem, we need to use the concept of disjoint set union (DSU) and implement the mergefind class to keep track of the locations. Step 3: We should then iterate through the days and dista...
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Coding
codecontest
Write Python code to solve the task. You are given a string S consisting of `a`,`b` and `c`. Find the number of strings that can be possibly obtained by repeatedly performing the following operation zero or more times, modulo 998244353: * Choose an integer i such that 1\leq i\leq |S|-1 and the i-th and (i+1)-th charac...
Step 1: The input consists of a string S of length |S|. We need to apply a given operation zero or more times and find the number of strings that can be obtained after applying the operation modulo 998244353. Step 2: To solve this problem, we can apply a breadth-first search algorithm to find all possible strings we...
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Coding
codecontest
Write Python code to solve the task. A competitive eater, Alice is scheduling some practices for an eating contest on a magical calendar. The calendar is unusual because a week contains not necessarily 7 days! In detail, she can choose any integer k which satisfies 1 ≀ k ≀ r, and set k days as the number of days in a ...
Step 1: The problem involves calculating the number of possible shapes formed by painting n consecutive days on a magical calendar with k days in a week. Step 2: We need to iterate through the test cases, calculate the number of possible shapes for each case, and print the result. Step 3: To calculate the number of ...
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Coding
codecontest
Write Python code to solve the task. problem One day, Taro, who lives in JOI town, decided to take a walk as a daily routine to improve his health. In JOI town, where Taro lives, he runs in the east-west direction as shown in the figure (H + 1). The road and the north-south direction (W + 1) run through the road in a ...
Step 1: The problem involves predicting Taro's route for his Nth walk on a grid pattern. Step 2: We need to iterate through the grid and update Taro's position based on the written characters at each intersection. Step 3: Once Taro reaches the easternmost or southernmost road, we need to output his final position. ...
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Coding
codecontest
Write Python code to solve the task. Now Fox Ciel becomes a commander of Tree Land. Tree Land, like its name said, has n cities connected by n - 1 undirected roads, and for any two cities there always exists a path between them. Fox Ciel needs to assign an officer to each city. Each officer has a rank β€” a letter from ...
Step 1: The problem is about assigning ranks to officers based on certain rules. We need to solve this problem using centroid decomposition to construct a valid scheme of assigning ranks. Step 2: Centroid decomposition is a method to decompose a tree into subtrees rooted at special nodes called centroids. We will nee...
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Coding
codecontest
Write Python code to solve the task. There is an airplane which has n rows from front to back. There will be m people boarding this airplane. This airplane has an entrance at the very front and very back of the plane. Each person has some assigned seat. It is possible for multiple people to have the same assigned sea...
Step 1: To solve this problem, we need to consider the possible combinations of assigning seats to passengers and allowing them to enter the plane from the front or back entrance. Step 2: We also need to account for the conditions for a valid boarding sequence, where no passenger becomes angry because they cannot fin...
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Coding
codecontest
Write Python code to solve the task. You've recently stumbled upon the remains of a ruined ancient city. Luckily, you've studied enough ancient architecture to know how the buildings were laid out. The city had n buildings in a row. Unfortunately, all but the first two buildings have deteriorated. All you can see in t...
Step 1: To solve this problem, we need to consider the properties of the building heights and the constraints provided. Step 2: We can start by understanding the requirement that the heights of the two smaller buildings sum up to the height of the largest building within that group of three. Step 3: We need to imple...
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Coding
codecontest
Write Python code to solve the task. In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks. More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(gcd(a,b)), (b)/(gcd(a,b)) can form sides of a triangle. Three numbers a, b and c can for...
Step 1: To solve this problem, we need to determine the lonely numbers in each test case based on the given input numbers. Step 2: We can start by implementing a function to count the prime numbers within a range so that we can determine the lonely numbers based on the prime factors. Step 3: We can iterate through t...
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Coding
codecontest
Write Python code to solve the task. During a normal walk in the forest, Katie has stumbled upon a mysterious code! However, the mysterious code had some characters unreadable. She has written down this code as a string c consisting of lowercase English characters and asterisks ("*"), where each of the asterisks denote...
Step 1: The approach to solving this problem involves dynamic programming and pattern matching on the provided strings. It requires finding occurrences of specific sequences within the strings, and then using the found occurrences to generate the largest possible value of f(c', s) - f(c', t) based on certain condition...
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Coding
codecontest
Write Python code to solve the task. Iahub has drawn a set of n points in the cartesian plane which he calls "special points". A quadrilateral is a simple polygon without self-intersections with four sides (also called edges) and four vertices (also called corners). Please note that a quadrilateral doesn't have to be c...
Step 1: The problem requires finding the maximal area of a special quadrilateral given a set of special points in the Cartesian plane. Step 2: To solve this problem, we need to loop through all combinations of 4 points and calculate the area of the quadrilateral formed by those points. Step 3: We can use the shoelac...
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Coding
codecontest
Write Python code to solve the task. There are many anime that are about "love triangles": Alice loves Bob, and Charlie loves Bob as well, but Alice hates Charlie. You are thinking about an anime which has n characters. The characters are labeled from 1 to n. Every pair of two characters can either mutually love each o...
Step 1: To solve this problem, let's first understand the requirements. We need to find the number of ways to fill in the remaining pairs so that every triangle relationship has exactly one pair in love or all three pairs in love. Step 2: We can start by understanding the given m known relationships and then build u...
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Coding
codecontest
Write Python code to solve the task. Rick and Morty are playing their own version of Berzerk (which has nothing in common with the famous Berzerk game). This game needs a huge space, so they play it with a computer. In this game there are n objects numbered from 1 to n arranged in a circle (in clockwise order). Object...
Step 1: The given problem describes the game rules and its input-output conditions. Step 2: The problem involves a game with a circular arrangement of objects, to solve these we could use the concept of circular arrays or lists. Step 3: The game rules follow alternate moves by players, and the goal is to determine ...
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Coding
codecontest
Write Python code to solve the task. Lately, Mr. Chanek frequently plays the game Arena of Greed. As the name implies, the game's goal is to find the greediest of them all, who will then be crowned king of Compfestnesia. The game is played by two people taking turns, where Mr. Chanek takes the first turn. Initially, t...
Step 1: To determine the maximum number of coins Mr. Chanek can get at the end of the game, we need to consider the available moves and the choice of the players to maximize their number of coins. Step 2: We can simulate the game and implement an algorithm to calculate the maximum number of coins Mr. Chanek can get b...
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Coding
codecontest
Write Python code to solve the task. The Squareland national forest is divided into equal 1 Γ— 1 square plots aligned with north-south and east-west directions. Each plot can be uniquely described by integer Cartesian coordinates (x, y) of its south-west corner. Three friends, Alice, Bob, and Charlie are going to buy t...
Step 1: To solve this problem, we need to find the smallest number of plots that need to be cleared from trees in order for the friends to be able to visit each other. The problem statement mentions that any of the plots A, B, C are in the same format (0 ≀ x_B, y_B, x_C, y_C ≀ 1000), and all three plots are distinct. ...
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Coding
codecontest
Write Python code to solve the task. Karlsson has visited Lillebror again. They found a box of chocolates and a big whipped cream cake at Lillebror's place. Karlsson immediately suggested to divide the sweets fairly between Lillebror and himself. Specifically, to play together a game he has just invented with the choco...
Step 1: The problem requires determining the player who will get the cake based on the outcome of the game. Step 2: We need to understand the rules of the game and how to determine the winner based on the input data. Step 3: We can use a search algorithm and logic to analyze the game's outcome and identify the winne...
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Coding
codecontest
Write Python code to solve the task. Fatal Eagle has finally teamed up with Arjit to take on this weird army of zombies and vampires. And they are coming up with strategies to beat these guys on a roll. The simple thing they figured out is that these creatures attack everything by the method of brute force - i.e., the ...
Step 1: To solve this problem, we need to find the number of ways in which the heroes can arrange the enemies to trick them and beat them. Step 2: We also need to calculate the total power of the enemies while attacking. Step 3: We can do this by using recursion and backtracking to generate all possible arrangements...
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Coding
codecontest
Write Python code to solve the task. There is a square matrix n Γ— n, consisting of non-negative integer numbers. You should find such a way on it that * starts in the upper left cell of the matrix; * each following cell is to the right or down from the current cell; * the way ends in the bottom right cell. ...
Step 1: The task is to find the path from the top-left corner to the bottom-right corner of the matrix that contains the least number of trailing zeros after multiplying the numbers along the path. Step 2: We need to take into account the number of trailing zeroes in the product. We should also consider the movement ...
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Coding
codecontest
Write Python code to solve the task. While Duff was resting in the beach, she accidentally found a strange array b0, b1, ..., bl - 1 consisting of l positive integers. This array was strange because it was extremely long, but there was another (maybe shorter) array, a0, ..., an - 1 that b can be build from a with formu...
Step 1: To solve this problem, we need to first understand the input and requirements, such as which formulas need to be applied and the specific rules and constraints that need to be considered. Step 2: From the problem statement, it seems that we need to utilize dynamic programming to calculate the number of subseq...
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Coding
codecontest
Write Python code to solve the task. There are a number of rectangles on the x-y plane. The four sides of the rectangles are parallel to either the x-axis or the y-axis, and all of the rectangles reside within a range specified later. There are no other constraints on the coordinates of the rectangles. The plane is pa...
Step 1: The main goal here is to count the number of regions on the plane partitioned by the sides of the rectangles. Step 2: The first step is to read and process the input. This would involve storing the coordinates of the rectangles in a list and extracting unique x and y coordinates. Step 3: Next, we need to cre...
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Coding
codecontest
Write Python code to solve the task. There are n workers in a company, each of them has a unique id from 1 to n. Exaclty one of them is a chief, his id is s. Each worker except the chief has exactly one immediate superior. There was a request to each of the workers to tell how how many superiors (not only immediate). ...
Step 1: The problem requires us to determine the minimum number of workers that could have made a mistake based on the reported number of superiors. Step 2: We need to analyze the information provided and consider the possible combinations of workers that could have made the mistake. Step 3: It would be beneficial t...
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Coding
codecontest
Write Python code to solve the task. Apart from Nian, there is a daemon named Sui, which terrifies children and causes them to become sick. Parents give their children money wrapped in red packets and put them under the pillow, so that when Sui tries to approach them, it will be driven away by the fairies inside. Big ...
Step 1: To solve this problem, we need to find a positive integer n that has exactly k loops in its decimal representation. Step 2: We can start by creating a string of digits that represent the loops in the decimal representation. This string can be constructed using the number 8 (which has 2 loops) and the number 4...
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Coding
codecontest
Write Python code to solve the task. You have a full binary tree having infinite levels. Each node has an initial value. If a node has value x, then its left child has value 2Β·x and its right child has value 2Β·x + 1. The value of the root is 1. You need to answer Q queries. There are 3 types of queries: 1. C...
Step 1: The problem involves understanding the structure of a full binary tree, three types of queries, and implementing the logic to shift node values and nodes within a level or to print values on the path of a node to the root. Step 2: We need to implement a structure to store the values and perform appropriate op...
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Coding
codecontest
Write Python code to solve the task. An accordion is a string (yes, in the real world accordions are musical instruments, but let's forget about it for a while) which can be represented as a concatenation of: an opening bracket (ASCII code 091), a colon (ASCII code 058), some (possibly zero) vertical line characters (A...
Step 1: To solve this problem, we need to find the longest segment within the string where an "accordion" pattern can be found. Step 2: The accordion pattern has the form: "[::]". We can find the first opening bracket, followed by a pair of colons, possibly a vertical line, and then a closing bracket. Step 3: We nee...
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Coding
codecontest
Write Python code to solve the task. For some time the program of rounding numbers that had been developed by the Codeforces participants during one of the previous rounds, helped the citizens of Far Far Away to convert numbers into a more easily readable format. However, as time went by, the economy of the Far Far Awa...
Step 1: To solve this problem, we need to understand the rules and formatting requirements for translating a number to the financial format. Step 2: We should first consider how to identify the presence of the minus sign and the decimal point, as these conditions affect the final financial format. Step 3: The number...
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Coding
codecontest
Write Python code to solve the task. These days Arkady works as an air traffic controller at a large airport. He controls a runway which is usually used for landings only. Thus, he has a schedule of planes that are landing in the nearest future, each landing lasts 1 minute. He was asked to insert one takeoff in the sc...
Step 1: To solve the problem, we need to find the earliest time to insert a takeoff into the schedule with the given constraints. Step 2: We will first read the input data, including the number of landings, the minimum allowed time between landing and takeoff, and the times of the scheduled landings. Step 3: Then, w...
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Coding
codecontest
Write Python code to solve the task. February Easy Challenge 2015 is underway. Hackerearth welcomes you all and hope that all you awesome coders have a great time. So without wasting much of the time let's begin the contest. Prime Numbers have always been one of the favourite topics for problem setters. For more in...
Step 1: The goal of this problem is to find the minimum number of single digit prime numbers that when summed equals a given number X. Step 2: To solve this, we can use a precomputed list of minimum numbers required to represent the sum of single digit prime numbers. Step 3: The list is generated for numbers from 1 ...
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d06ac9a59676322efadb10b8c15c2804c1092ccc1e104637f45cb3d9f618d29d
Coding
codecontest
Write Python code to solve the task. There are n + 1 cities, numbered from 0 to n. n roads connect these cities, the i-th road connects cities i - 1 and i (i ∈ [1, n]). Each road has a direction. The directions are given by a string of n characters such that each character is either L or R. If the i-th character is L,...
Step 1: The main function of the code seems to implement a solution for the given problem statement. Step 2: It uses dynamic programming to calculate the maximum number of different cities the traveler can visit during one journey starting from each city. Step 3: It iterates through the given string to identify the...
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7a0cacaa0377b218d4478cbfde69d8b30298d3b126184d89da352da4e1e2ed36
Coding
codecontest
Write Python code to solve the task. Kolya got an integer array a_1, a_2, ..., a_n. The array can contain both positive and negative integers, but Kolya doesn't like 0, so the array doesn't contain any zeros. Kolya doesn't like that the sum of some subsegments of his array can be 0. The subsegment is some consecutive ...
Step 1: The problem requires finding the minimum number of integers to be inserted into the array such that the resulting array does not contain any subsegments with a sum equal to 0. Step 2: To solve this, we can iterate through the elements of the array and keep track of the cumulative sum. Step 3: If we encounter...
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Coding
codecontest
Write Python code to solve the task. In this problem, a n Γ— m rectangular matrix a is called increasing if, for each row of i, when go from left to right, the values strictly increase (that is, a_{i,1}<a_{i,2}<...<a_{i,m}) and for each column j, when go from top to bottom, the values strictly increase (that is, a_{1,j}...
Step 1: The goal of this problem is to replace each value of 0 in the matrix with a positive integer such that the resulting matrix is increasing, and the sum of its elements is maximized. The main constraint is that for each row and column, the numbers must be strictly increasing and no greater than their neighboring...
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Coding
codecontest
Write Python code to solve the task. You are playing one RPG from the 2010s. You are planning to raise your smithing skill, so you need as many resources as possible. So how to get resources? By stealing, of course. You decided to rob a town's blacksmith and you take a follower with you. You can carry at most p units ...
Step 1: The function mysol1 seems to take the weights of swords and war axes and calculates the maximum number of weapons that can be carried by the player and the follower without exceeding their capacity. Step 2: The function iterates through the possible combinations of swords and war axes, ensuring the weight doe...
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Coding
codecontest
Write Python code to solve the task. Mashmokh's boss, Bimokh, didn't like Mashmokh. So he fired him. Mashmokh decided to go to university and participate in ACM instead of finding a new job. He wants to become a member of Bamokh's team. In order to join he was given some programming tasks and one week to solve them. Ma...
Step 1: The problem involves finding the number of good sequences of length k, given n. Step 2: We can approach this problem by calculating the number of factors for each number and then using these factors to calculate the good sequences. Step 3: We also need to keep track of the modulo 1000000007. Step 4: We'll u...
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Coding
codecontest
Write Python code to solve the task. The map of Berland is a rectangle of the size n Γ— m, which consists of cells of size 1 Γ— 1. Each cell is either land or water. The map is surrounded by the ocean. Lakes are the maximal regions of water cells, connected by sides, which are not connected with the ocean. Formally, la...
Step 1: The problem involves finding the minimum number of water cells that need to be transformed to land to achieve the desired number of lakes in the given map. Step 2: We need to group connected water cells into lakes and calculate the number of water cells in each lake. Step 3: Then we need to identify the smal...
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Coding
codecontest
Write Python code to solve the task. A linked list contains N nodes numbered from 1 to N. The tail of the list points to head of the list i.e. the linked list is circular in nature. For when N=5 1->2->3->4, ^-------5<---' An integer K is also given to you.You start counting from head and when you reach Kth node ...
Step 1: The problem requires us to implement a program that will remove nodes from a circular linked list based on a given step value and output the last remaining node. Step 2: We can start by creating a function to simulate the circular linked list and remove the nodes based on the given step value. Step 3: We can...
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Coding
codecontest
Write Python code to solve the task. Vasya has an array a consisting of positive integer numbers. Vasya wants to divide this array into two non-empty consecutive parts (the prefix and the suffix) so that the sum of all elements in the first part equals to the sum of elements in the second part. It is not always possibl...
Step 1: The problem asks us to determine if an array can be divided into two consecutive parts with equal sums by moving one of its elements to a different position Step 2: We should begin by calculating the total sum of all elements in the array and then iteratively calculate the prefix sum and suffix sum of the arr...
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Coding
codecontest
Write Python code to solve the task. A Pythagorean triple is a triple of integer numbers (a, b, c) such that it is possible to form a right triangle with the lengths of the first cathetus, the second cathetus and the hypotenuse equal to a, b and c, respectively. An example of the Pythagorean triple is (3, 4, 5). Vasya...
Step 1: To solve this problem, we need to consider the definition of a Pythagorean triple and Vasya's formula, c = a^2 - b. Step 2: We can start by understanding the properties of Pythagorean triples and how they relate to the formula c = a^2 - b. Step 3: We also need to count the number of Pythagorean triples that ...
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Coding
codecontest
Write Python code to solve the task. This is the easy version of the problem. The difference is the constraint on the sum of lengths of strings and the number of test cases. You can make hacks only if you solve all versions of this task. You are given a string s, consisting of lowercase English letters. Find the longe...
Step 1: The problem requires finding the longest palindrome substring, t, such that t is a concatenation of a prefix and a suffix of the given string s. Step 2: To solve this problem, we need to iterate through the input string and find all possible palindrome substrings that satisfy the given conditions. We'll store...
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Coding
codecontest
Write Python code to solve the task. It is known that there are k fish species in the polar ocean, numbered from 1 to k. They are sorted by non-decreasing order of their weight, which is a positive number. Let the weight of the i-th type of fish be wi, then 0 < w1 ≀ w2 ≀ ... ≀ wk holds. Polar bears Alice and Bob each ...
Step 1: Given the weights and fish species caught by Alice and Bob, the goal is to determine if it is possible for Alice to have a strictly larger total weight of fish. Step 2: We can sort the fish caught by Alice and Bob by their weight and check if it is possible for Alice to have a strictly larger total weight by...
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Coding
codecontest
Write Python code to solve the task. You were the master craftsman in the stone age, and you devoted your life to carving many varieties of tools out of natural stones. Your works have ever been displayed respectfully in many museums, even in 2006 A.D. However, most people visiting the museums do not spend so much time...
Step 1: The problem involves processing a number of ordered tools and determining the most efficient schedule by finding the minimum number of days required to fill all the orders. Step 2: We need to model the relation between the tools and their support tools to create a dependency graph. Step 3: Then we can use de...
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Coding
codecontest
Write Python code to solve the task. Chef Ceil has some matchsticks in his kitchen. Detail of matchsticks: There are N matchsticks in total. They are numbered from to 0 to N-1 inclusive. All matchsticks have same length. But they may have different rates of burning. For i^th matchstick, we denote bi as the time require...
Step 1: This problem involves efficiently calculating the time needed for a range of matchsticks to burn completely given their respective burn times and the arrangement of the matchsticks. We can use a segment tree to efficiently answer the queries about the time needed for the matchsticks to burn. We'll need to buil...
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Coding
codecontest
Write Python code to solve the task. Authors guessed an array a consisting of n integers; each integer is not less than 2 and not greater than 2 β‹… 10^5. You don't know the array a, but you know the array b which is formed from it with the following sequence of operations: 1. Firstly, let the array b be equal to the ...
Step 1: To solve this problem, we need to iterate through the given array b and recover the original array a based on the operations described in the problem. We need to consider whether each element of b is prime or not and find the original elements of a based on this information. Step 2: We also need to consider t...
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Coding
codecontest
Write Python code to solve the task. Iahub got lost in a very big desert. The desert can be represented as a n Γ— n square matrix, where each cell is a zone of the desert. The cell (i, j) represents the cell at row i and column j (1 ≀ i, j ≀ n). Iahub can go from one cell (i, j) only down or right, that is to cells (i +...
Step 1: The task is to calculate the minimum time in which Iahub can arrive at cell (n, n) by avoiding the cells occupied by volcanoes. Step 2: To solve this problem, we need to consider the constraints and conditions for Iahub's movements and create a grid to represent the cells and the locations of the volcanoes. S...
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Coding
codecontest
Write Python code to solve the task. Given a string of length n s = s1, s2,…, sn and m queries. Each query qk (1 ≀ k ≀ m) is one of four types, "L ++", "L-", "R ++", "R-", and l [for the kth query qk. k] and r [k] are defined below. * L ++: l [k] = l [k-1] + 1, r [k] = r [k-1] * L-: l [k] = l [k-1] -1, r [k] = r [k-1...
Step 1: The problem involves processing a string and performing various operations as specified by the queries. Step 2: We need to compute how many different substrings are created for a given list of queries by l and r parameters. Step 3: To achieve this, we can use a rolling hash implementation to efficiently comp...
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Coding
codecontest
Write Python code to solve the task. A: Isono, let's do that! --Sendame - story Nakajima "Isono ~, let's do that!" Isono "What is that, Nakajima" Nakajima "Look, that's that. It's hard to explain because I have to express it in letters for some reason." Isono "No, it seems that you can put in figures and photos, r...
Step 1: The input consists of the poses of Isono and Nakajima in a game. Step 2: We need to determine the outcome of the game based on the poses and attack power of the players. Step 3: We can iterate through the poses and update the attack powers according to the rules of the game. Step 4: Based on the poses and a...
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Coding
codecontest
Write Python code to solve the task. Vika has an infinite sheet of squared paper. Initially all squares are white. She introduced a two-dimensional coordinate system on this sheet and drew n black horizontal and vertical segments parallel to the coordinate axes. All segments have width equal to 1 square, that means eve...
Step 1: This code is an implementation of the solution to the problem of calculating the number of painted cells by Vika. It uses a hash map to track the segments drawn by Vika and compute the number of cells painted. The solution involves iterating through the segments, sorting, and manipulating the lists containing ...
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Coding
codecontest
Write Python code to solve the task. Several years ago Tolya had n computer games and at some point of time he decided to burn them to CD. After that he wrote down the names of the games one after another in a circle on the CD in clockwise order. The names were distinct, the length of each name was equal to k. The name...
Step 1: The problem requires finding the order of games burned onto a CD. Step 2: We need to perform a rolling hash on the CD string to determine all residues at which each game appears. Step 3: Then we need to check the residues to find a valid list of games that could have been burned onto the CD. Step 4: If no v...
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Coding
codecontest
Write Python code to solve the task. It is vacation time and Panda is in his hometown Pandaland. Panda is very bored so he started studying some interesting properties of natural numbers. Some days later he meet his friend Agham, who is pretty good in mathematics and tells him about interesting properties of natural nu...
Step 1: To solve this problem, we need to iterate through the given range of numbers and check if each number satisfies the given property of being a "lazy number". Step 2: We can define a function to calculate the sum of divisors of a given number. Step 3: Then, we can iterate through the range of numbers and check...
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Coding
codecontest
Write Python code to solve the task. From the FAQ: What am I allowed to post as a comment for a problem? Do NOT post code. Do NOT post a comment asking why your solution is wrong. Do NOT post a comment asking if you can be given the test case your program fails on. Do NOT post a comment asking how your solution can...
Step 1: The problem requires a solution to find the lexicographically smallest valid arrangement of cherries in a circular manner around a cake. Step 2: We need to replace each question mark with a digit strictly less than K, ensuring that no two adjacent cherries have the same color, Step 3: and the first and las...
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Coding
codecontest
Write Python code to solve the task. View Russian Translation A wild chemist wants to prepare his mysterious mixture. The recipe is very simple, he has already mixed all the necessary powders and the only remaining thing is to add exactly m nanoliters of any liquids. In his lab he has n_1 bottles full of liquid ca...
Step 1: The code contains a function to check the validity of using a combination of bottles to achieve the required mixture. Step 2: It then iterates through all possible combinations of bottles and checks each combination to see if it is valid. Step 3: The sum of the values of amulus and maximum values of the used...
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Coding
codecontest
Write Python code to solve the task. Robot Bender decided to make Fray a birthday present. He drove n nails and numbered them from 1 to n in some order. Bender decided to make a picture using metal rods. The picture is a closed polyline, which vertices should be nails (in the given order). The segments of the polyline ...
Step 1: The problem involves connecting nails in a specific order using metal rods that can be folded to form a 90-degree angle. Step 2: We need to determine if it is possible to connect the nails in the given order using the provided rods. Step 3: To solve this problem, the main function seems to iterate through th...
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Coding
codecontest
Write Python code to solve the task. Artist Shinagawa was asked to exhibit n works. Therefore, I decided to exhibit the six sides of the cube colored with paint as a work. The work uses all six colors, Red, Yellow, Blue, Magenta, Green, and Cyan, and each side is filled with one color. Shinagawa changed the arrangement...
Step 1: The goal here is to create a program that takes the number of created works and the color information of each work, and outputs how many more points are needed to exhibit. Step 2: To achieve this, the code first checks the color information of each work, and then identifies unique color combinations. Step 3:...
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Coding
codecontest
Write Python code to solve the task. A drunk person was moving from one point on the street to another point on the same street. His starting point was between two manholes on that street. He was following a systematic scheme of his movement and had a fix movement repeated after an interval of time. How much time will ...
Step 1: The problem involves understanding a systematic scheme of movement, calculating time taken to fall in a manhole, and determining which manhole the person will fall into. Step 2: We need to take into account the input data and ensure the output is formatted correctly as per the given constraints. Step 3: Th...
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Coding
codecontest
Write Python code to solve the task. Recently a top secret mission to Mars has taken place. As a result, scientists managed to obtain some information about the Martian DNA. Now we know that any Martian DNA contains at most m different nucleotides, numbered from 1 to m. Special characteristics of the Martian DNA preven...
Step 1: The problem requires us to calculate the quantity of n-long chains of the Martian DNA that satisfy certain constraints. Step 2: We are given the maximum number of nucleotides (m), the length of the DNA chain (n), and the number of forbidden nucleotide pairs (k). Step 3: The key to solving this problem is to ...
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Coding
codecontest
Write Python code to solve the task. For a given weighted undirected graph G(V, E), find the distance of the shortest route that meets the following criteria: * It is a closed cycle where it ends at the same point it starts. * The route must go through every edge at least once. Constraints * 2 ≀ |V| ≀ 15 * 0 ≀ |E| ≀...
Step 1: To solve this problem, we need to find the shortest distance of a closed cycle that goes through every edge at least once. Step 2: We can represent the graph as an adjacency matrix and calculate the shortest path between every pair of vertices using Floyd-Warshall algorithm. Step 3: After calculating the sho...
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Coding
codecontest
Write Python code to solve the task. Little Elephant from the Zoo of Lviv hates exams. Since Little Elephant lives in Ukraine, he is going to take exams called 'ZNO'. Help him. There will be n tickets on the table. Each ticket has a number written on it. The i-th ticket can be numbered Ai with probability Pi percent an...
Step 1: The problem requires calculating the probability that the numbering of tickets on the table is correct. Step 2: We can solve this problem using a recursive approach to consider all possibilities of ticket numbering and their probabilities. Step 3: We'll keep track of the distinct numbers used so far and upda...
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Coding
codecontest
Write Python code to solve the task. You are given a rooted tree with n nodes, labeled from 1 to n. The tree is rooted at node 1. The parent of the i-th node is p_i. A leaf is node with no children. For a given set of leaves L, let f(L) denote the smallest connected subgraph that contains all leaves L. You would like ...
Step 1: The solution is using several loops to perform operations on tree nodes and leaves. Step 2: The first step is represented by defining the tree based on the input values. Step 3: Then, there's a loop to calculate several characteristics about the leaves such as the number of ways to partition the leaves and d...
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8de5baa41cb459ecafd952fc617865d09407ea6c5a235755e4c2d9ac436ca29a
Coding
codecontest
Write Python code to solve the task. Vasya the Great Magician and Conjurer loves all kinds of miracles and wizardry. In one wave of a magic wand he can turn an object into something else. But, as you all know, there is no better magic in the Universe than the magic of numbers. That's why Vasya adores math and spends a ...
Step 1: The problem requires recovering the initial set of cards with numbers given a single number, d, and the limits for the initial integers. The process involves removing the rightmost cards and adding a new card with the difference between the left and right numbers, continuously until a single card is left. Step...
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Coding
codecontest
Write Python code to solve the task. Since Sonya is interested in robotics too, she decided to construct robots that will read and recognize numbers. Sonya has drawn n numbers in a row, a_i is located in the i-th position. She also has put a robot at each end of the row (to the left of the first number and to the righ...
Step 1: To solve this problem, we need to find all possible pairs of numbers that Sonya can give to the robots, such that the robots will not meet. Step 2: Since we're using the numbers in the row to determine the pairs, we need to keep track of pairs based on the unique numbers in the input row. Step 3: We also nee...
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053351e27d351af24c9b0797acdef1b0e48df3b531bda42298a4262ddc0bf4e7
Coding
codecontest
Write Python code to solve the task. Arthur has bought a beautiful big table into his new flat. When he came home, Arthur noticed that the new table is unstable. In total the table Arthur bought has n legs, the length of the i-th leg is li. Arthur decided to make the table stable and remove some legs. For each of the...
Step 1: The problem is about determining the minimum number of energy units Arthur should spend to make the table stable. Step 2: To solve this problem, the process involves sorting legs and their energy units in descending order according to energy units, then working out the minimum energy units needed to stabilize...
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32cd9de9ed4028c505c20ff626a9f7b9ea209327d438b0b74b49bdcf2f14ea8f
Coding
codecontest
Write Python code to solve the task. The only difference between easy and hard versions is constraints. Ivan plays a computer game that contains some microtransactions to make characters look cooler. Since Ivan wants his character to be really cool, he wants to use some of these microtransactions β€” and he won't start ...
Step 1: The task is to calculate the minimum day when Ivan can buy all microtransactions he wants and start playing the game. Ivan earns exactly one burle each day and there are n types of microtransactions in the game. Each microtransaction costs 2 burles usually and 1 burle if it is on sale. Ivan has to order exactl...
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033d8c4f1f20910220171e305b45f4aa5d31edb46538c68bb1c1e24c31e32a00
Coding
codecontest
Write Python code to solve the task. Tomash keeps wandering off and getting lost while he is walking along the streets of Berland. It's no surprise! In his home town, for any pair of intersections there is exactly one way to walk from one intersection to the other one. The capital of Berland is very different! Tomash ...
Step 1: The problem is asking us to find the number of "damn rhombi" in the city, given the number of intersections and roads as input. Step 2: To solve this problem, we need to loop through each intersection and check for pairs of paths that form a "damn rhombus". Step 3: This can be done using nested loops to iter...
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35d6029a26347559770083cd7ef3c11f449c397b9314852830bed541c71811dd
Coding
codecontest
Write Python code to solve the task. There are n children, who study at the school β„–41. It is well-known that they are good mathematicians. Once at a break, they arranged a challenge for themselves. All children arranged in a row and turned heads either to the left or to the right. Children can do the following: in on...
Step 1: The problem describes a sequence of operations performed on a string, which represent the children and their head orientation. The goal is to find a way for the children to act so that they finish the process in exactly k seconds by turning their heads in the opposite direction. Step 2: To solve this problem...
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Coding
codecontest
Write Python code to solve the task. Tanmay is a legendary spammer - everyone in the spamming world knows and admires his abilities to spam anyone, anytime, anywhere. He decided to guide one of his mentors, named Arjit, as part of the Apex body of spamming. Tanmay has no doubts on his skills of teaching and making hi...
Step 1: The problem requires us to find the maximum and minimum productivity attained by Arjit by evaluating the product of all the groups he decides to visit. Step 2: To solve this problem, we can write two separate functions to calculate the maximum and minimum products. Step 3: Each function will take the array o...
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Coding
codecontest
Write Python code to solve the task. Damian Wayne and Carrie Kelly are classmates and best friends. Since class 5, they have been in the same section. They usually sat on the last bench so that they could chat all they want during the class. One day, during the ancient martial arts period, Master Kirigi caught them and...
Step 1: To solve this problem, we need to understand the encryption method Damian used to encrypt his messages. Step 2: The input consists of a string S, and we need to encrypt it based on certain conditions to obtain the encrypted message E. Step 3: We can use the ASCII values of characters to perform the encryptio...
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Coding
codecontest
Write Python code to solve the task. Suppose you are given a string s of length n consisting of lowercase English letters. You need to compress it using the smallest possible number of coins. To compress the string, you have to represent s as a concatenation of several non-empty strings: s = t_{1} t_{2} … t_{k}. The i...
Step 1: The problem requires us to find the minimum possible number of coins to spend in order to compress the given string. Step 2: We can use recursion to explore different possible string concatenations and calculate the cost of compressing each one. Step 3: To ensure we do not repeat the same computation, we ca...
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Coding
codecontest
Write Python code to solve the task. Vector Willman and Array Bolt are the two most famous athletes of Byteforces. They are going to compete in a race with a distance of L meters today. <image> Willman and Bolt have exactly the same speed, so when they compete the result is always a tie. That is a problem for the org...
Step 1: The problem requires calculating the probability that Willman and Bolt tie in a race given certain constraints. Step 2: We need to consider the length of the racetrack, along with the lengths of Willman's and Bolt's steps to determine the probability of a tie. Step 3: To achieve this, we can calculate the nu...
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Coding
codecontest
Write Python code to solve the task. You have a string s consisting of n characters. Each character is either 0 or 1. You can perform operations on the string. Each operation consists of two steps: 1. select an integer i from 1 to the length of the string s, then delete the character s_i (the string length gets red...
Step 1: The problem involves completing the maximum number of operations on the given string that satisfy certain conditions. Step 2: We need to carefully craft the operations by following the given rules to achieve the maximum number of operations. Step 3: We need to efficiently implement the steps specified in th...
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Coding
codecontest
Write Python code to solve the task. Mayor of city S just hates trees and lawns. They take so much space and there could be a road on the place they occupy! The Mayor thinks that one of the main city streets could be considerably widened on account of lawn nobody needs anyway. Moreover, that might help reduce the car ...
Step 1: To solve this problem, we need to iterate through each part of the street and decide the size of the lawn to demolish. Step 2: We want to maximize the amount of lawn that is removed while maintaining the condition that the road width for consecutive parts should differ by at most 1. Step 3: We can calculate ...
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Coding
codecontest
Write Python code to solve the task. Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size n Γ— m with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). <image> There is one ball at the point (x, y) currently. Max come...
Step 1: The problem requires determining whether a ball on a billiard table will fall into a pocket eventually and if yes, which pocket it will be. Step 2: We can accomplish this by simulating the movement of the ball and checking if it will reach a pocket. Step 3: Based on the initial position and speed of the ball...
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Coding
codecontest
Write Python code to solve the task. Hierarchical Democracy The presidential election in Republic of Democratia is carried out through multiple stages as follows. 1. There are exactly two presidential candidates. 2. At the first stage, eligible voters go to the polls of his/her electoral district. The winner of the d...
Step 1: Initially, we need to parse the input and understand the given dataset format. Step 2: We have to find a way to win the presidential election with the minimum number of votes. Step 3: For every dataset, compute the minimum number of votes required to be the winner of the presidential election. Step 4: To so...
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Coding
codecontest
Write Python code to solve the task. You are given two strings a and b consisting of lowercase English letters, both of length n. The characters of both strings have indices from 1 to n, inclusive. You are allowed to do the following changes: * Choose any index i (1 ≀ i ≀ n) and swap characters a_i and b_i; * ...
Step 1: The problem requires us to find the minimum number of preprocessing moves required to make two strings equal. Step 2: Given the properties of the allowed changes, we need to consider each character of both strings individually. Step 3: To achieve this, we can iterate through half of the length of both string...
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Coding
codecontest
Write Python code to solve the task. This problem is a version of problem D from the same contest with some additional constraints and tasks. There are n candies in a candy box. The type of the i-th candy is a_i (1 ≀ a_i ≀ n). You have to prepare a gift using some of these candies with the following restriction: the...
Step 1: The goal of this problem is to find the maximum number of candies that can be included in the gift following certain constraints. Step 2: First, we need to understand and organize the constraints specified in the problem statement. Step 3: Then, we need to design an algorithm to find the maximum number of c...
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Coding
codecontest
Write Python code to solve the task. There are n cities and m two-way roads in Berland, each road connects two cities. It is known that there is no more than one road connecting each pair of cities, and there is no road which connects the city with itself. It is possible that there is no way to get from one city to som...
Step 1: The problem describes the need to orient all roads in a country to maximize the number of cities where the number of roads that begin in the city equals the number of roads that end in it. Step 2: To solve this problem, we can use graph traversal techniques to determine the number of incoming and outgoing roa...
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Coding
codecontest
Write Python code to solve the task. The construction of subway in Bertown is almost finished! The President of Berland will visit this city soon to look at the new subway himself. There are n stations in the subway. It was built according to the Bertown Transport Law: 1. For each station i there exists exactly one...
Step 1: The problem requires finding the maximum possible value of convenience in the subway structure by making changes in the number of stations and the current structure of the subway. Step 2: We have multiple stations and their corresponding destinations listed. We need to optimize the convenience. Step 3: We sh...
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Coding
codecontest
Write Python code to solve the task. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three space-separated integers a, b and c (1 ≀ a...
Step 1: The first step is to understand how the sum of divisors is calculated and what it represents. Step 2: Next, we need to decompose each integer into its prime factors and calculate the number of divisors. Step 3: We can use a dictionary to store the prime factor decomposition of each integer and then calculate...
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Coding
codecontest
Write Python code to solve the task. Recently you have bought a snow walking robot and brought it home. Suppose your home is a cell (0, 0) on an infinite grid. You also have the sequence of instructions of this robot. It is written as the string s consisting of characters 'L', 'R', 'U' and 'D'. If the robot is in the ...
Step 1: The problem requires us to check whether a sequence of instructions of a robot is valid or not. A valid sequence should result in the robot ending up in the cell (0, 0), and not visiting any other cell more than once, except (0, 0) which can be visited at most twice: at the beginning and the end. Step 2: To ...
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Coding
codecontest
Write Python code to solve the task. Kaavi, the mysterious fortune teller, deeply believes that one's fate is inevitable and unavoidable. Of course, she makes her living by predicting others' future. While doing divination, Kaavi believes that magic spells can provide great power for her to see the future. <image> K...
Step 1: To solve this problem, we need to use dynamic programming to count the number of different operation sequences to make A a magic spell (i.e. with the prefix T). Step 2: We'll use a 2D array to keep track of the counts for the different operation sequences. Step 3: Given strings S and T, we'll use a bottom-...
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Coding
codecontest
Write Python code to solve the task. You are given two squares, one with sides parallel to the coordinate axes, and another one with sides at 45 degrees to the coordinate axes. Find whether the two squares intersect. The interior of the square is considered to be part of the square, i.e. if one square is completely in...
Step 1: To solve this problem, we need to determine if two squares intersect or not based on the coordinates provided for each square. Step 2: We can start by parsing the input to obtain the coordinates of each square. Step 3: Next, we need to check if the squares intersect. We can do this by checking if the squares...
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Coding
codecontest
Write Python code to solve the task. You're given an array a of length n. You can perform the following operations on it: * choose an index i (1 ≀ i ≀ n), an integer x (0 ≀ x ≀ 10^6), and replace a_j with a_j+x for all (1 ≀ j ≀ i), which means add x to all the elements in the prefix ending at i. * choose an index...
Step 1: The problem requires determining whether it is possible to make the array strictly increasing in no more than n+1 operations and providing the operations if it is possible. Step 2: We can start by identifying a pattern in how the operations can be applied for each element in the array to make it strictly incr...
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Coding
codecontest
Write Python code to solve the task. Vasya writes his own library for building graphical user interface. Vasya called his creation VTK (VasyaToolKit). One of the interesting aspects of this library is that widgets are packed in each other. A widget is some element of graphical interface. Each widget has width and hei...
Step 1: The given code processes a VasyaScript and calculates the sizes of all the widgets using a custom Widget class to store widget information. Step 2: The script is parsed into several widget creation and manipulation instructions. Step 3: Widgets are created, packed into HBox or VBox widgets, and the border ...
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Coding
codecontest
Write Python code to solve the task. ICP city has an express company whose trucks run from the crossing S to the crossing T. The president of the company is feeling upset because all the roads in the city are one-way, and are severely congested. So, he planned to improve the maximum flow (edge disjoint paths) from the ...
Step 1: The problem requires finding the maximum flow from crossing S to crossing T by reversing some roads. Step 2: We need to use the Dinic algorithm to calculate the maximum flow by reversing some roads. Step 3: We can use a class called Dinic to implement the Dinic algorithm, initializing references and defining...
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Coding
codecontest
Write Python code to solve the task. Valery is a PE teacher at a school in Berland. Soon the students are going to take a test in long jumps, and Valery has lost his favorite ruler! However, there is no reason for disappointment, as Valery has found another ruler, its length is l centimeters. The ruler already has n ...
Step 1: The problem requires us to determine the minimum number of additional marks needed to measure distances x and y, given a ruler with existing marks at specific distances. Step 2: To solve this problem, we need to search for existing marks that enable us to measure distances x and y. If such marks exist, the nu...
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481ff4cff032e8114bf84e6a24e7155f653578baa701c7b9787afe96f36d8c46
Coding
codecontest
Write Python code to solve the task. Apart from plush toys, Imp is a huge fan of little yellow birds! <image> To summon birds, Imp needs strong magic. There are n trees in a row on an alley in a park, there is a nest on each of the trees. In the i-th nest there are ci birds; to summon one bird from this nest Imp need...
Step 1: To begin, we need to understand the problem and the constraints involved in the use of mana to summon birds. Step 2: Additionally, we need to understand the process and logic of the solution code provided. Step 3: We should also be aware of the variables involved and the calculations taking place in each ste...
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Coding
codecontest
Write Python code to solve the task. You are given two strings s and t consisting of lowercase English letters and an integer L. We will consider generating a string of length L by concatenating one or more copies of s and t. Here, it is allowed to use the same string more than once. For example, when s = `at`, t = `...
Step 1: To solve this problem, we need to determine all the possible combinations of strings s and t that can be generated to form a length L string. Step 2: We should focus on creating a lexicographically smallest string from the generated combinations. Step 3: The process involves checking the lengths of strings...
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Coding
codecontest
Write Python code to solve the task. Little Elephant loves Furik and Rubik, who he met in a small city Kremenchug. The Little Elephant has two strings of equal length a and b, consisting only of uppercase English letters. The Little Elephant selects a pair of substrings of equal length β€” the first one from string a, t...
Step 1: The code needs to calculate the expected value of f(x, y) given two strings of equal length a and b. It gets the input and then uses two loops to iterate through the strings. It calculates the positions of characters in the strings and uses these positions to determine the expected value. It also takes into ac...
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052d7178f7a66f437f1bfa5151298a7a7905b648acb200af3d3377efa35ac178
Coding
codecontest
Write Python code to solve the task. There are n startups. Startups can be active or acquired. If a startup is acquired, then that means it has exactly one active startup that it is following. An active startup can have arbitrarily many acquired startups that are following it. An active startup cannot follow any other ...
Step 1: To solve this problem, we can calculate the total number of days needed for the process to end with exactly one active startup. Step 2: We need to determine the expected number of days to reach this state in the startup acquisition process and take the modulo 10^9+7. Step 3: We need to store the number of ac...
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3ce31496288324b20c3d2c28cf26402ef8b3264ea2f8946b0003573c20faf6e5
Coding
codecontest
Write Python code to solve the task. <image> Walking through the streets of Marshmallow City, Slastyona have spotted some merchants selling a kind of useless toy which is very popular nowadays – caramel spinner! Wanting to join the craze, she has immediately bought the strange contraption. Spinners in Sweetland have ...
Step 1: The problem requires us to determine the direction of rotation of the spinner based on its starting and ending position, as well as the duration of the rotation. Step 2: We can calculate the number of positions the spinner will rotate given the duration, and then compare the starting and ending position to de...
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6e1bc4b6fb9b7bee374c45de96f63b8dff94d9f52a9060c5b9b5b2cd2f008db2
Coding
codecontest
Write Python code to solve the task. You are given two strings s and t both of length 2 and both consisting only of characters 'a', 'b' and 'c'. Possible examples of strings s and t: "ab", "ca", "bb". You have to find a string res consisting of 3n characters, n characters should be 'a', n characters should be 'b' and...
Step 1: To solve this problem, we need to generate all possible strings of length 3n consisting of n occurrences of 'a', 'b', and 'c'. Step 2: Then we also need to ensure that the strings s and t do not appear in any of the generated strings as substrings. Step 3: We can start by generating all permutations of 'abc...
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1558d134c2b11e99a9beaed66d0c06a9c97d81eb178975156a8ac8c495a576a8
Coding
codecontest
Write Python code to solve the task. Harry Potter has n mixtures in front of him, arranged in a row.Each mixture has one of 100 different colors (colors have numbers from 0 to 99). He wants to mix all these mixtures together. At each step, he is going to take two mixtures that stand next to each other and mix them tog...
Step 1: The problem requires finding the minimum amount of smoke that Harry can get when mixing all the mixtures together. Step 2: We can approach this problem using a dynamic programming solution to find the minimum amount of smoke generated. Step 3: We need to implement a function to calculate the minimum amount...
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82cd9641ee234a3668b64bf83bcb56dfdd2599a837a54c24c678eaeb9525ef59
Coding
codecontest
Write Python code to solve the task. A programming coach has n students to teach. We know that n is divisible by 3. Let's assume that all students are numbered from 1 to n, inclusive. Before the university programming championship the coach wants to split all students into groups of three. For some pairs of students w...
Step 1: The problem requires dividing a set of students into teams based on their preferences, ensuring that all students wanting to be together are in the same team. Step 2: We need to find a feasible division of teams, and if not possible, output -1. The teams must have exactly three students. Step 3: The number o...
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e33416e2f3f40f00034d222b448eaf743607a557fcd1eb0036d28638086ec7e4
Coding
codecontest
Write Python code to solve the task. Along a road running in an east-west direction, there are A shrines and B temples. The i-th shrine from the west is located at a distance of s_i meters from the west end of the road, and the i-th temple from the west is located at a distance of t_i meters from the west end of the ro...
Step 1: To solve this problem, we need to determine the minimum distance that needs to be traveled to visit one shrine and one temple from a given point. Step 2: We can use the given distances to shrines, temples, and points as the input. Step 3: We'll use the bisect_left function to find the leftmost insertion po...
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ecb997fc90b044bbf04a80624ff5cd2cca217a570df245b6a97cde6636671a53
Coding
codecontest
Write Python code to solve the task. Little John aspires to become a plumber! Today he has drawn a grid consisting of n rows and m columns, consisting of n Γ— m square cells. In each cell he will draw a pipe segment. He can only draw four types of segments numbered from 1 to 4, illustrated as follows: <image> Each pi...
Step 1: The given problem provides a grid representing a piping system. We need to determine the possible different non-leaking final systems after filling all empty cells with pipe segments. Step 2: To solve this problem, we will loop through the given grid to check for possible non-leaking final systems. Step 3: W...
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189f946878151262c5e74862e435a4bc60fcefd713ebf8b82f1bf01229862e70
Coding
codecontest
Write Python code to solve the task. You are given an infinite periodic array a0, a1, ..., an - 1, ... with the period of length n. Formally, <image>. A periodic subarray (l, s) (0 ≀ l < n, 1 ≀ s < n) of array a is an infinite periodic array with a period of length s that is a subsegment of array a, starting with posit...
Step 1: This problem involves analyzing periodic subarrays of the given array and counting the distinct pairs of (l, s) that correspond to superior periodic arrays. Step 2: We can start by iterating through the array and finding the superior subarrays to keep track of the count. Step 3: We also need to consider the ...
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08f09057a21b202d6337e4abe8294b46472fcccf8c8a35520f89dd25587c7314
Coding
codecontest
Write Python code to solve the task. Ivan is collecting coins. There are only N different collectible coins, Ivan has K of them. He will be celebrating his birthday soon, so all his M freinds decided to gift him coins. They all agreed to three terms: * Everyone must gift as many coins as others. * All coins given...
Step 1: To solve this problem, we need to find the minimum number of coins that each friend can gift to satisfy the conditions. Step 2: We should consider the quantity of different coins, the number of friends, the size of Ivan's collection, and the quantity of coins that must be new in his collection. Step 3: We'll...
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05fc7ba3534cd993baf5c8a6017f7fb7de86b52a68e6c8bdd7778700bf55fff2
Coding
codecontest
Write Python code to solve the task. The only difference between easy and hard versions is on constraints. In this version constraints are lower. You can make hacks only if all versions of the problem are solved. Koa the Koala is at the beach! The beach consists (from left to right) of a shore, n+1 meters of sea and ...
Step 1: There's an input of the number of test cases. Step 2: For each test case, the function should read the input values, perform a series of operations, and output the result "Yes" or "No" if Koa can make it from the shore to the island. Step 3: To solve each test case, the solution appears to iterate through th...
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