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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 determine_strongest_programmer(): import sys from collections import defaultdict input = sys.stdin.readline N, M = map(int, input().split()) relations = [list(map(int, input().split())) for _ in range(M)] graph = defaultdict(dict) for a, b in relations: graph[a][b] =...
[ { "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, so I need to find the standard molar enthalpy of formation of HgO(s) at 298 K. The problem gives me some information about the combustion of Hg(g) in a bomb calorimeter. Let me try to break this down step by step. First, the reaction is 2 moles of Hg(g) combusted with excess O₂ to form HgO(s). The temper...
[ { "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 Points System**: Kevin earns a point for each even number he adds to the sum \( s \). After adding an even number, he rep...
[ { "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 }
<think> Okay, so I need to figure out how many of these stars are detectable using the ESPRESSO spectrograph with an 8m VLT telescope. The key is that the signal-to-noise ratio (S/N) has to be at least 10 per binned pixel during a 1-hour exposure. Let me start by recalling some basics about spectrographs and how they w...
[ { "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 can model the deck as a series of segments and track how these segments change with each operation. Here's a detailed breakdown of the approach: 1. **Initial Setup**: The joker starts at position \( m \...
[ { "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 }
<think> Okay, so I need to figure out how many subarrays in the given list are "incremovable". Let me start by understanding the definition. A subarray is called incremovable if when you remove it from the original array, the remaining elements form a strictly increasing sequence. Even an empty array is considered stri...
[{"content":"\"You are a coding expert. Given a competition-level coding problem, you need to write (...TRUNCATED)
{ "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 the problem of finding the earliest moment when all rooms have their lights turned on, we (...TRUNCATED)
[{"content":"\"You are a coding expert. Given a competition-level coding problem, you need to write (...TRUNCATED)
{ "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 the problem of determining whether the black vertices form a chain after each color toggle(...TRUNCATED)
[{"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 }
"# Generate a valid arrangement of the grid with N rows and columns, where N is odd. The key points (...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 rectangle ABCD(...TRUNCATED)
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mlfoundations-dev/a1_math_hendrycks_eval_636d

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo CodeForces
Accuracy 18.0 58.2 81.0 30.8 38.2 36.5 16.6 3.4 6.6

AIME24

  • Average Accuracy: 18.00% ± 1.51%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 20.00% 6 30
2 20.00% 6 30
3 23.33% 7 30
4 6.67% 2 30
5 23.33% 7 30
6 16.67% 5 30
7 16.67% 5 30
8 20.00% 6 30
9 20.00% 6 30
10 13.33% 4 30

AMC23

  • Average Accuracy: 58.25% ± 1.54%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 55.00% 22 40
2 65.00% 26 40
3 55.00% 22 40
4 62.50% 25 40
5 62.50% 25 40
6 50.00% 20 40
7 65.00% 26 40
8 57.50% 23 40
9 55.00% 22 40
10 55.00% 22 40

MATH500

  • Accuracy: 81.00%
    Accuracy Questions Solved Total Questions
    81.00% 405 500

MMLUPro

  • Average Accuracy: 30.80% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 30.80% 154 500

JEEBench

  • Average Accuracy: 38.20% ± 0.81%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 36.75% 189.25 515
2 37.77% 194.5 515
3 40.10% 206.5 515

GPQADiamond

  • Average Accuracy: 36.53% ± 1.31%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 39.39% 78 198
2 36.36% 72 198
3 33.84% 67 198

LiveCodeBench

  • Average Accuracy: 16.57% ± 1.35%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 19.18% 98 511
2 15.85% 81 511
3 14.68% 75 511

CodeElo

  • Average Accuracy: 3.41% ± 0.45%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 3.58% 14 391
2 4.09% 16 391
3 2.56% 10 391

CodeForces

  • Average Accuracy: 6.62% ± 0.51%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 7.51% 34 453
2 5.74% 26 453
3 6.62% 30 453
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