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mlfoundations-dev

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d1_code_mc_llm_3k

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ML Foundations Development 131

"Makoto has a big blackboard with a positive integer n written on it. He will perform the following (...TRUNCATED)

"<think>\nOkay, let's tackle this problem. Hmm, the problem says that we start with a number n and p(...TRUNCATED)

"import math\nimport random\n\nMOD = 10**9 + 7\n\ndef is_prime(n):\n if n < 2:\n return Fa(...TRUNCATED)

"This problem requires a deep understanding of probability theory and number theory, as well as the (...TRUNCATED)

"The provided code samples all approach the problem of calculating the expected value after k steps (...TRUNCATED)

"<think>\nOkay, let's try to solve this problem. Hmm. So, the problem is about finding the expected (...TRUNCATED)

"You are developing software to stream music to users over the Interwebs. In order to reduce network(...TRUNCATED)

"<think>\nOkay, let's tackle this programming problem. So the goal is to find the maximum possible m(...TRUNCATED)

"import bisect\n\ndef main():\n import sys\n input = sys.stdin.read\n data = input().split((...TRUNCATED)

"The problem involves optimizing data transfer in a peer-to-peer streaming scenario, where multiple (...TRUNCATED)

"Solutions 0, 1, 4, 5, 3, 2, 12, and 13 all use similar methods to calculate the maximum possible mi(...TRUNCATED)

"<think>\nOkay, let's try to tackle this problem. Hmm, the problem statement is a bit complex, but I(...TRUNCATED)

"PROBLEM\nFor a list of numbers, list: Find the lowest possible integer, x, which is optimally close(...TRUNCATED)

"The problem requires understanding of even-harmonics, absolute cumulative remainders, and optimizat(...TRUNCATED)

"All solutions presented closely follow the same structure for calculating the optimal value of x. T(...TRUNCATED)

"<think>\nOkay, let's try to figure out how to solve this problem. So, the task is to find the integ(...TRUNCATED)

"You're trying to set the record on your favorite video game. The game consists of N levels, which m(...TRUNCATED)

"<think>\nOkay, I need to solve this programming problem. Let's read the problem carefully.\n\nSo, t(...TRUNCATED)

"import sys\n\ndef main():\n sys.setrecursionlimit(1 << 25)\n n, R = map(int, sys.stdin.readli(...TRUNCATED)

"This problem involves understanding probability, expected values, and optimal decision-making given(...TRUNCATED)

"All the code samples use dynamic programming or similar iterative approaches to minimize the expect(...TRUNCATED)

"<think>\nOkay, let's see. The problem is about calculating the expected time to complete all N leve(...TRUNCATED)

"The country of Reberland is the archenemy of Berland. Recently the authorities of Berland arrested (...TRUNCATED)

"<think>\nOkay, let's see. So the problem is about processing multiple queries to find which leaflet(...TRUNCATED)

"class State:\n def __init__(self):\n self.next = dict() # char -> state index\n s(...TRUNCATED)

"The problem requires a combination of string searching, handling multiple queries efficiently, and (...TRUNCATED)

"The solutions provided all utilize a suffix automaton (SAM) which effectively handles substring que(...TRUNCATED)

"<think>\nOkay, so I have this programming problem to solve. Let me read through the question carefu(...TRUNCATED)

"You may know that Euclid was a mathematician. Well, as it turns out, Morpheus knew it too. So when (...TRUNCATED)

"<think>\nOkay, let's tackle this problem. Hmm, the problem is about finding the size of the set T, (...TRUNCATED)

"MOD = 10**9 + 7\n\ndef main():\n import sys\n input = sys.stdin.read\n data = input().spli(...TRUNCATED)

"This problem involves advanced concepts such as vector space theory over finite fields (specificall(...TRUNCATED)

"The solutions share a common strategy of using union-find or similar approaches to determine the co(...TRUNCATED)

"<think>\nOkay, I need to solve this programming problem. Let's read the problem carefully.\n\nSo, t(...TRUNCATED)

"In this programming-puzzle, your goal is to write the following function in JavaScript, using (esse(...TRUNCATED)

"This problem requires deep knowledge of JavaScript's functional programming features, particularly (...TRUNCATED)

"Solutions 0, 3, 1, and 2 are functionally equivalent since they use `Function.prototype.call` to ex(...TRUNCATED)

"<think>\nOkay, so I need to create a JavaScript function that behaves like (f) => void(f()), but us(...TRUNCATED)

"Dima and Anya love playing different games. Now Dima has imagined a new game that he wants to play (...TRUNCATED)

"<think>\nOkay, I need to solve this problem where I have to count the number of ways Dima can write(...TRUNCATED)

"MOD = 10**9 + 7\n\ndef main():\n import sys\n n, p = map(int, sys.stdin.readline().split())\n(...TRUNCATED)

"This problem involves combinatorial game theory and requires understanding complex recursive relati(...TRUNCATED)

"The solutions are functionally equivalent in terms of analyzing Grundy numbers and counting valid s(...TRUNCATED)

"<think>\nOkay, let's try to solve this problem. So, the problem is about Dima and Anya playing a ga(...TRUNCATED)

"You come home and fell some unpleasant smell. Where is it coming from?\n\nYou are given an array a.(...TRUNCATED)

"<think>\nOkay, so I need to solve this programming problem. Let's read the problem carefully.\n\nTh(...TRUNCATED)

"import sys\nimport math\nfrom collections import defaultdict\n\ndef main():\n input = sys.stdin.(...TRUNCATED)

"This problem involves both point updates and range queries in an array, requiring the calculation o(...TRUNCATED)

"The solutions are functionally equivalent as they all implement a version of Mo's algorithm to hand(...TRUNCATED)

"<think>\nOkay, I need to solve this programming problem. Let's read the problem statement carefully(...TRUNCATED)

"(This challenge is very similar, but this current challenge has additional complications.)\n\nImagi(...TRUNCATED)

"The problem requires an understanding of geometrical reflections and handling a light beam simulati(...TRUNCATED)

"The solutions listed are functionally similar as they all essentially accomplish the task of simula(...TRUNCATED)

"<think>\nOkay, I need to solve this programming problem. Let's read the problem carefully.\n\nSo, t(...TRUNCATED)