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mlfoundations-dev

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d2_math_gpt

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ML Foundations Development 131

"Some positive integers can be represented by a sum of one or more consecutive prime numbers. How ma(...TRUNCATED)

"<think>\nOkay, let's tackle this problem. Hmm, the task is to find the number of ways a given numbe(...TRUNCATED)

"import bisect\n\ndef sieve(n):\n sieve = [True] * (n + 1)\n sieve[0] = sieve[1] = False\n (...TRUNCATED)

"The provided answer successfully implements an efficient algorithm that addresses the given problem(...TRUNCATED)

"<think>\nOkay, let's see. The problem is to find the number of ways a given number can be expressed(...TRUNCATED)

"Hongcow is learning to spell! One day, his teacher gives him a word that he needs to learn to spell(...TRUNCATED)

"<think>\nOkay, let's see. The problem is to find out how many distinct cyclic shifts a given string(...TRUNCATED)

"s = input().strip()\nn = len(s)\nunique_shifts = set()\n\nfor k in range(n):\n rotated = s[-k:] (...TRUNCATED)

"The provided answer correctly explains the problem of counting distinct cyclic shifts of a string a(...TRUNCATED)

"<think>\nOkay, let's see. The problem is about cyclic shifts of a string. So Hongcow can take the l(...TRUNCATED)

"The Berland's capital has the form of a rectangle with sizes n × m quarters. All quarters are divi(...TRUNCATED)

"<think>\nOkay, so I need to solve this programming problem. Let me read the problem statement caref(...TRUNCATED)

"n, m, q, p = map(int, input().split())\ngrid = [input().strip() for _ in range(n)]\n\ntotal = [[0]*(...TRUNCATED)

"The provided answer outlines a correct approach to solving the problem of calculating noise levels (...TRUNCATED)

"<think>\nOkay, let's tackle this problem. Hmm, the problem is about calculating the noise level in (...TRUNCATED)

"n students are taking an exam. The highest possible score at this exam is m. Let a_{i} be the score(...TRUNCATED)

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

"import sys\n\nt = int(sys.stdin.readline())\nfor _ in range(t):\n n, m = map(int, sys.stdin.read(...TRUNCATED)

"The provided answer correctly follows the logical process needed to solve the problem. It grasps th(...TRUNCATED)

"<think>\nOkay, let's try to solve this problem. So the problem is about maximizing the first studen(...TRUNCATED)

"There are n positive integers written on the blackboard. Also, a positive number k ≥ 2 is chosen,(...TRUNCATED)

"<think>\nOkay, let's see. The problem is about combining numbers on a blackboard through operations(...TRUNCATED)

"import sys\nfrom itertools import combinations\nfrom collections import deque\n\ndef main():\n n(...TRUNCATED)

"The provided solution does not explicitly follow a well-formed structure to guarantee reaching the (...TRUNCATED)

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

"The Berland's capital has the form of a rectangle with sizes n × m quarters. All quarters are divi(...TRUNCATED)

"<think>\nOkay, so I need to solve this programming problem. Let me read the problem statement caref(...TRUNCATED)

"n, m, q, p = map(int, input().split())\ngrid = [input().strip() for _ in range(n)]\n\ntotal = [[0]*(...TRUNCATED)

"The provided answer outlines a correct approach to solving the problem of calculating noise levels (...TRUNCATED)

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

"Hongcow is learning to spell! One day, his teacher gives him a word that he needs to learn to spell(...TRUNCATED)

"<think>\nOkay, let's see. The problem is to find out how many distinct cyclic shifts a given string(...TRUNCATED)

"s = input().strip()\nn = len(s)\nunique_shifts = set()\n\nfor k in range(n):\n rotated = s[-k:] (...TRUNCATED)

"The provided answer correctly explains the problem of counting distinct cyclic shifts of a string a(...TRUNCATED)

"<think>\nOkay, I need to solve this programming problem. Let's see what the problem is about. The t(...TRUNCATED)

"Hongcow is learning to spell! One day, his teacher gives him a word that he needs to learn to spell(...TRUNCATED)

"<think>\nOkay, let's see. The problem is to find out how many distinct cyclic shifts a given string(...TRUNCATED)

"s = input().strip()\nn = len(s)\nunique_shifts = set()\n\nfor k in range(n):\n rotated = s[-k:] (...TRUNCATED)

"The provided answer correctly explains the problem of counting distinct cyclic shifts of a string a(...TRUNCATED)

"<think>\nOkay, let's see. The problem is to find out how many distinct strings Hongcow can generate(...TRUNCATED)

"n students are taking an exam. The highest possible score at this exam is m. Let a_{i} be the score(...TRUNCATED)

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

"import sys\n\nt = int(sys.stdin.readline())\nfor _ in range(t):\n n, m = map(int, sys.stdin.read(...TRUNCATED)

"The provided answer correctly follows the logical process needed to solve the problem. It grasps th(...TRUNCATED)

"<think>\nOkay, let's see. I need to solve this programming problem. The problem is about adjusting (...TRUNCATED)

"n students are taking an exam. The highest possible score at this exam is m. Let a_{i} be the score(...TRUNCATED)

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

"import sys\n\nt = int(sys.stdin.readline())\nfor _ in range(t):\n n, m = map(int, sys.stdin.read(...TRUNCATED)

"The provided answer correctly follows the logical process needed to solve the problem. It grasps th(...TRUNCATED)

"<think>\nOkay, let's see. The problem is that we need to find the maximum possible score for the fi(...TRUNCATED)