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mlfoundations-dev

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d2_math_mc_llm

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ML Foundations Development 131

"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 question involves a mathematical problem that requires logical reasoning and constraints simila(...TRUNCATED)

"The most common final answer among the solutions is 10 for Solution 0 and Solution 1, whereas Solut(...TRUNCATED)

"<think>\nOkay, let's see. The problem is that we need to maximize the first student's score while k(...TRUNCATED)

"There is a forest that we model as a plane and live n rare animals. Animal number i has its lair in(...TRUNCATED)

"<think>\nOkay, let's see. The problem is to find the minimal radius of a circle that contains all g(...TRUNCATED)

"n = int(input())\npoints = []\nhas_positive = False\nhas_negative = False\n\nfor _ in range(n):\n (...TRUNCATED)

"The question presented is a complex mathematical problem involving geometry and optimization, simil(...TRUNCATED)

"The common numerical answers are analyzed from the solutions. Solutions 0 and 1 both result in a si(...TRUNCATED)

"<think>\nOkay, let's see. I need to solve this programming problem. Let's read the problem statemen(...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 question involves a mathematical problem that requires logical reasoning and constraints simila(...TRUNCATED)

"The most common final answer among the solutions is 10 for Solution 0 and Solution 1, whereas Solut(...TRUNCATED)

"<think>\nOkay, let's see. I need to find the maximum possible score that student 1 can have after a(...TRUNCATED)

"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 question provided is similar to the positive examples as it involves a mathematical problem con(...TRUNCATED)

"Solutions 0 and 1 both represent the number of representations as '1' for the number 3, which is th(...TRUNCATED)

"<think>\nOkay, let's see. I need to find the number of ways a given number can be expressed as the (...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)

"This question is similar to the positive examples because it involves a combinatorial problem relat(...TRUNCATED)

"All three solutions (0, 1, and 2) produce the same final numerical answer of 4. Solutions 3 to 15 d(...TRUNCATED)

"<think>\nOkay, I need to solve this problem where Hongcow can perform cyclic shifts on a string, an(...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)

"This question is similar to the positive examples because it involves a combinatorial problem relat(...TRUNCATED)

"All three solutions (0, 1, and 2) produce the same final numerical answer of 4. Solutions 3 to 15 d(...TRUNCATED)

"<think>\nOkay, so I have this programming problem to solve, and I need to figure out how to approac(...TRUNCATED)

"Find the sum of the weights of edges of the Minimum-Cost Arborescence with the root r for a given w(...TRUNCATED)

"<think>\nOkay, so I need to find the sum of the weights of the minimum-cost arborescence with a giv(...TRUNCATED)

"def min_cost_arborescence(root, nodes, edges):\n if not nodes:\n return 0\n\n # Dictio(...TRUNCATED)

"The provided question asks for a specific computational problem—finding the sum of edge weights o(...TRUNCATED)

"The final outputs for the candidate solutions are: Solution 0 outputs a sum of weights which is 6, (...TRUNCATED)

"<think>\nOkay, I need to solve this problem where I have to find the minimum-cost arborescence (whi(...TRUNCATED)

"Find the sum of the weights of edges of the Minimum-Cost Arborescence with the root r for a given w(...TRUNCATED)

"<think>\nOkay, so I need to find the sum of the weights of the minimum-cost arborescence with a giv(...TRUNCATED)

"def min_cost_arborescence(root, nodes, edges):\n if not nodes:\n return 0\n\n # Dictio(...TRUNCATED)

"The provided question asks for a specific computational problem—finding the sum of edge weights o(...TRUNCATED)

"The final outputs for the candidate solutions are: Solution 0 outputs a sum of weights which is 6, (...TRUNCATED)

"<think>\nOkay, I need to find the sum of the weights of the minimum-cost arborescence with a given (...TRUNCATED)

"There is a forest that we model as a plane and live n rare animals. Animal number i has its lair in(...TRUNCATED)

"<think>\nOkay, let's see. The problem is to find the minimal radius of a circle that contains all g(...TRUNCATED)

"n = int(input())\npoints = []\nhas_positive = False\nhas_negative = False\n\nfor _ in range(n):\n (...TRUNCATED)

"The question presented is a complex mathematical problem involving geometry and optimization, simil(...TRUNCATED)

"The common numerical answers are analyzed from the solutions. Solutions 0 and 1 both result in a si(...TRUNCATED)

"<think>\nOkay, I need to solve this programming problem. Let's read the problem statement carefully(...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 question is similar to the positive examples because it involves a complex problem tha(...TRUNCATED)

"Solutions 0 and 1 both state that the final numerical answer is greater than the threshold p after (...TRUNCATED)

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