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d1_code_long_paragraphs_0.3k

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ML Foundations Development 131

"Balanced ternary is a modified version of ternary (base 3), using the three digits 1,0 and -1 (writ(...TRUNCATED)

"The problem involves generating a sequence based on a non-standard numeral system (balanced ternary(...TRUNCATED)

"The provided response consists of multiple paragraphs, but they are not classified as \"too long\" (...TRUNCATED)

"<think>\nOkay, I need to solve this problem where I have to find all positive integers n such that (...TRUNCATED)

"Implement a CipherSaber encryption program, as described below. Guidelines:\n\nThe smallest entry, (...TRUNCATED)

"The problem requires implementing a cryptographic algorithm (CipherSaber, a variant of RC4), which (...TRUNCATED)

"The provided answer consists of short paragraphs, none of which exceed 750 words. Therefore, it mee(...TRUNCATED)

"<think>\nOkay, I need to implement a CipherSaber encryption program according to the specifications(...TRUNCATED)

"You generate real numbers s1, s2, ..., sn as follows: \n\n * s0 = 0; \n * si = si - 1 + ti, where(...TRUNCATED)

"<think>\nOkay, let's see. So the problem is about calculating the probability that a certain sequen(...TRUNCATED)

"import sys\nfrom fractions import Fraction\nMOD = 998244353\n\ndef modinv(a):\n return pow(a, MO(...TRUNCATED)

"This problem requires a good understanding of probability theory and how to model the sum of random(...TRUNCATED)

"The answer is presented in a structured format with multiple paragraphs of varying lengths. However(...TRUNCATED)

"<think>\nOkay, let's see. So the problem is about calculating the probability that for all i from 1(...TRUNCATED)

"In the Land of Fire there are n villages and n-1 bidirectional road, and there is a path between an(...TRUNCATED)

"<think>\nOkay, let's see. The problem is about finding the maximum length of a simple path where th(...TRUNCATED)

"import sys\nfrom collections import deque\n\ndef main():\n sys.setrecursionlimit(1 << 25)\n n(...TRUNCATED)

"The problem requires understanding of tree structures, dynamic updates of paths based on road types(...TRUNCATED)

"The provided answer contains multiple long paragraphs that exceed 750 words. Each thought and expla(...TRUNCATED)

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

"We'll call a set of positive integers a beautiful if the following condition fulfills: for any prim(...TRUNCATED)

"<think>\nOkay, let's see. I need to find a beautiful set of k elements where each element is at mos(...TRUNCATED)

"import heapq\n\nk = int(input())\nmax_val = 2 * k * k\n\n# Generate m_elements (k-2) of 2^a * 3^b ((...TRUNCATED)

"The problem requires understanding of both prime numbers and properties of sets concerning divisibi(...TRUNCATED)

"The provided answer does not contain any long paragraphs. Each segment of text is separated into ma(...TRUNCATED)

"<think>\nOkay, so I need to find a beautiful set of size k where each element is at most 2k². The (...TRUNCATED)

"Connected undirected weighted graph without self-loops and multiple edges is given. Graph contains (...TRUNCATED)

"<think>\nOkay, so I've got this programming problem to solve. Let me read through it again to make (...TRUNCATED)

"import sys\nfrom collections import deque\n\ndef main():\n sys.setrecursionlimit(1 << 25)\n n(...TRUNCATED)

"The problem involves calculating the minimal weight of spanning trees that include each edge in a c(...TRUNCATED)

"The provided answer has no long paragraphs, as all the explanations and code are adequately broken (...TRUNCATED)

"<think>\nOkay, let's try to solve this programming problem. Hmm. The problem is about finding for e(...TRUNCATED)

"Input\nA binary string \\$s\\$ of length \\$n\\$ and a positive integer \\$k \\leq n\\$.\nOutput\nT(...TRUNCATED)

"The problem revolves around computing the number of binary strings with a specified Levenshtein dis(...TRUNCATED)

"The provided answer is structured in a way that avoids long paragraphs; it consists of many shorter(...TRUNCATED)

"<think>\nOkay, I need to find the number of binary strings that are exactly Levenshtein distance k (...TRUNCATED)

"Adilbek has to water his garden. He is going to do it with the help of a complex watering system: h(...TRUNCATED)

"<think>\nOkay, let's try to figure out how to solve this problem. Hmm. The problem seems a bit comp(...TRUNCATED)

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

"The problem involves optimizing the selection of friends to bring water for a watering system while(...TRUNCATED)

"The answer is structured into several short paragraphs, none of which exceed 750 words. Each subsec(...TRUNCATED)

"<think>\nOkay, let's see. We need to solve this problem where Adilbek has to water his garden for m(...TRUNCATED)

"During his interview, Shil came across a very difficult problem. The problem is as follows: \n\nA (...TRUNCATED)

"<think>\nOkay, let's try to understand this problem. We need to find the number of beautiful matric(...TRUNCATED)

"MOD = 10**9 + 7\n\n# Precompute factorials up to 1e6 to handle N*M up to 1e6\nmax_fact = 1000 * 100(...TRUNCATED)

"The problem requires deep mathematical insights and a complex understanding of combinatorial matrix(...TRUNCATED)

"The provided answer is structured into clearly defined sections with headings and bullet points, en(...TRUNCATED)

"<think>\nOkay, let's tackle this problem. Hmm. The task is to find the number of beautiful matrices(...TRUNCATED)

"In this challenge, you will play the iterated Prisoner's Dilemma, but with a twist: There's also an(...TRUNCATED)

"The problem involves designing both a prisoner and a flipper in an iterated Prisoner's Dilemma scen(...TRUNCATED)

"The provided answer contains no long paragraphs; each paragraph is shorter than 750 words and is we(...TRUNCATED)

"<think>\nOkay, I need to come up with a good strategy for both the prisoner and the flipper in this(...TRUNCATED)