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>\n\nOkay, so I need to solve this problem where I have to calculate the angles to turn the hour and minute hands of a clock from 12:00 to a given time. Hmm. Let's think step by step.\n\nFirst, the problem says the initial time is 12:00. The input is the target time, and I have to find the smallest non-negative angles ...
>\n\nOkay, so I need to solve this programming problem. Let's read the problem carefully.\n\nThe task is to find the shortest-path tree from a given vertex u such that the total weight of the edges in the tree is minimized. The shortest-path tree must ensure that the distances from u to all other vertices are the same ...
>\n\nOkay, let's see. The problem is to determine if we can generate the number k through a series of operations starting from the given list of numbers. The operation allowed is to pick two numbers x and y (they can be the same) and write 2x - y. And this can be done multiple times. The key is to find out if k can app...
>\n\nOkay, let's try to figure out how to solve this problem. So the problem is to determine if there exists a tree that satisfies certain conditions. The tree has n vertices, and vertex 1 must have exactly degree k. Also, there are m forbidden pairs of vertices (ai, bi) that cannot be edges in the tree. Our task is to...
>\n\nOkay, let's try to figure out this problem. So, the task is to count the number of \"random\" pictures according to Ivan's definition. The condition is that each cell has at most one adjacent cell of the same color. Hmm, that's an interesting constraint. \n\nLet me start by understanding the problem thoroughly. Th...
>\n\nOkay, let's try to solve this problem. Hmm, the problem is about a matrix where we have to handle some flip operations and compute the unusual square each time there's a query. The unusual square is the sum of the dot products of each row i and column i, all modulo 2. So, for each query of type 3, we need to outpu...
>\n\nOkay, let's tackle this problem. Hmm. The task is to find the maximum possible intersection length after removing exactly one segment. So, for each segment, we need to compute the intersection of all the other segments when that one is removed. Then pick the maximum among all these possibilities.\n\nBut wait, how ...
>\n\nOkay, let's tackle this problem. So, the task is to determine the minimum number of additional cuts Vasya needs to make so that all the existing and new cuts divide the pizza into equal slices. Hmm, right.\n\nFirst, I need to understand the problem thoroughly. The pizza is a circle with some existing cuts. Each cu...
>\n\nOkay, let's try to figure out how to solve this problem. So the problem is about finding the minimum number of operations to change the thermostat's temperature from a to b, given some constraints. Let's understand the problem step by step.\n\nFirst, the thermostat can be set to any temperature between l and r inc...
>\n\nOkay, I need to solve this problem where two players are choosing characters from their strings to form the largest possible numbers. The goal is to determine who will win if both play optimally. Let's think through this step by step.\n\nFirst, let's understand the problem. Both players have a string of length 2n....