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[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are N competitive programmers numbered person 1, person 2, \\ldots, and person N.\nThere is a relation called su...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
256
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
```python def find_strongest_programmer(N, M, relations): # Convert the list of relations into a graph graph = {i: set() for i in range(1, N + 1)} for a, b in relations: graph[a].add(b) graph[b].add(a) # Since the graph is undirected # Transitive closure using Floyd-Warshall algorithm ...
[ { "content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: 2 mol of $\\mathrm{Hg}(g)$ is combusted in a fixed volume bomb...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
400
JEEBench
{ "expected_answer": "90.39", "problem_id": "37", "reference_solution": null, "subject": "chem", "type": "Numeric" }
<think> Okay, let's try to figure out this problem step by step. So, we have 2 moles of Hg(g) being combusted in a fixed volume bomb calorimeter with excess O₂ at 298 K and 1 atm, and the products are HgO(s). The temperature increases from 298.0 K to 312.8 K. We need to find the standard molar enthalpy of formation of ...
[ { "content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 1, "temperature": 0.7 }
1
363
CodeForces
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
To solve this problem, we need to determine the maximum number of points Kevin can earn by rearranging the integers \( a_1, a_2, \ldots, a_n \). The key steps are as follows: 1. **Understanding the Process**: - Kevin adds each \( a_i \) to a running sum \( s \). - If \( s \) becomes even after adding \( a_i \), ...
[ { "content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: How many of the stars listed below would be detectable using the ESPRESSO spectrograph, when it is coupled with one of the 8m VLT telescopes at the Paranal Observatory? ...
{ "do_sample": true, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
186
GPQADiamond
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
To determine how many of the listed stars would be detectable using the ESPRESSO spectrograph coupled with an 8m VLT telescope, we need to consider the signal-to-noise ratio (S/N) required. The criterion is an S/N of at least 10 per binned pixel during a 1-hour exposure. First, let's recall that the S/N for a star can...
[ { "content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
321
CodeForces
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
To solve the problem of determining the number of distinct positions where the joker can be after each operation, we need to carefully track the movements of the joker through a series of operations. The key insight is that the joker's possible positions can be modeled as a combination of segments, and each operation a...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array of positive integers nums.\nA subarray of nums is called incremovable if nums becomes strictly increasing on removing the subar...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
167
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
def count_incremovable_subarrays(nums): n = len(nums) total = 0 for i in range(n): for j in range(i, n): subarray = nums[i:j+1] if is_strictly_increasing(nums, subarray): total += 1 return total def is_strictly_increasing(nums, subarray): remaining_...
[ { "content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
152
CodeElo
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
To solve this problem, we need to determine the earliest time when all lights in the apartment are turned on. Each room has a chip that turns the light on for \( k \) minutes and then off for \( k \) minutes repeatedly. The initial times when the chips are installed are given as \( a_1, a_2, \ldots, a_n \). First, we ...
[ { "content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
31
CodeElo
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
To solve this problem, I need to handle each test case as follows: 1. **Graph Construction**: Build the tree from the given edges. 2. **Initial Coloring**: Store the initial colors of all vertices. 3. **Query Processing**: For each toggle query, flip the color of the specified vertex. After each toggle, check if all b...
[{"content":"Generate an executable Python function generated from the given prompt. The function sh(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 1, "temperature": 0.7 }
1
359
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
"Here's a Python function that generates an executable grid layout according to the given conditions(...TRUNCATED)
[{"content":"Problem: Rectangle $ABCD$ has center $O$ and $AB/AD=k$. A point is randomly chosen from(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
444
MATH500
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
"<think>\nOkay, so I need to find the probability that a randomly chosen point inside a rectangle AB(...TRUNCATED)
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mlfoundations-dev/a1_math_metamath_eval_636d

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo CodeForces
Accuracy 13.3 57.2 74.6 28.8 34.5 36.2 9.5 3.2 5.5

AIME24

  • Average Accuracy: 13.33% ± 1.49%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 10.00% 3 30
2 23.33% 7 30
3 16.67% 5 30
4 13.33% 4 30
5 6.67% 2 30
6 10.00% 3 30
7 10.00% 3 30
8 16.67% 5 30
9 16.67% 5 30
10 10.00% 3 30

AMC23

  • Average Accuracy: 57.25% ± 1.89%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 67.50% 27 40
2 60.00% 24 40
3 52.50% 21 40
4 65.00% 26 40
5 55.00% 22 40
6 50.00% 20 40
7 62.50% 25 40
8 52.50% 21 40
9 57.50% 23 40
10 50.00% 20 40

MATH500

  • Accuracy: 74.60%
    Accuracy Questions Solved Total Questions
    74.60% 373 500

MMLUPro

  • Average Accuracy: 28.80% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 28.80% 144 500

JEEBench

  • Average Accuracy: 34.50% ± 0.47%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 33.35% 171.75 515
2 35.05% 180.5 515
3 35.10% 180.75 515

GPQADiamond

  • Average Accuracy: 36.20% ± 0.96%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 37.37% 74 198
2 37.37% 74 198
3 33.84% 67 198

LiveCodeBench

  • Average Accuracy: 9.52% ± 1.36%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 9.78% 50 511
2 7.05% 36 511
3 11.74% 60 511

CodeElo

  • Average Accuracy: 3.15% ± 0.60%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 2.05% 8 391
2 4.09% 16 391
3 3.32% 13 391

CodeForces

  • Average Accuracy: 5.52% ± 0.34%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 4.86% 22 453
2 5.74% 26 453
3 5.96% 27 453
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