context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 9
values | metadata dict | model_outputs stringlengths 1 182k |
|---|---|---|---|---|---|---|
[
{
"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
} | import sys
def find_strongest_programmer():
N, M = map(int, input().split())
relations = []
for _ in range(M):
A, B = map(int, input().split())
relations.append((A, B))
# Create a graph to represent superiority relations
graph = {i: set() for i in range(1, N+1)}
for a, b in... |
[
{
"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"
} | To determine the standard molar enthalpy of formation of $\mathrm{HgO}(s)$ at 298 K, we start by analyzing the combustion process. The reaction is:
\[
\mathrm{Hg}(g) + \frac{1}{2} \mathrm{O}_2(g) \rightarrow \mathrm{HgO}(s)
\]
This reaction is exothermic, releasing heat, which causes the temperature of the bomb calor... |
[
{
"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 in the array. The key observations are:
1. **Even and Odd Counts**: For each operation, when \( a_i \) is added to \( s \), if the result is even, Kevin can earn a point and keep dividing \( s \) by 2 un... |
[
{
"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 by the ESPRESSO spectrograph when used with one of the 8-meter telescopes at Paranal. The key criterion is achieving a signal-to-noise ratio (S/N) of at least 10 per binned pixel during a 1-hour exposure.
First, I should recall the formula o... |
[
{
"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 this problem, I need to track the possible positions of the joker after each operation. The key idea is to use the concept of merging or expanding segments based on the operations. However, the problem mentions that the number of segments should not exceed 3, which simplifies things. Let me break down the thou... |
[
{
"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
} | To solve this problem, we need to determine the number of subarrays whose removal leaves the array strictly increasing. Here's a step-by-step plan:
1. **Understand the Problem**: An array is strictly increasing if each element is greater than the previous one. An **incremovable subarray** is any contiguous subarray wh... |
[
{
"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 are turned on simultaneously. Each light's status is toggled every \( k \) minutes after its installation at time \( a_i \).
### Key Observations:
1. **Light State Transition**: Each chip installed at time \( a_i \) toggles the light every ... |
[
{
"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
} | Alright, let's tackle this problem step by step. The problem involves a tree with vertices colored either white (0) or black (1). We need to perform a series of queries where each query toggles the color of a specified vertex. After each query, we must determine if the black vertices form a chain. If they do, we output... |
[
{
"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 is a grid with N rows and N columns, where N is an odd number at most 45.\nLet (i,j) denote the cell at the i-th... | {
"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
} | To solve this problem, we need to place Takahashi and the dragon parts on an N x N grid such that the given conditions are met. The key points are:
1. Takahashi must be at the center cell: (N//2 + 1, N//2 + 1) since N is 1-indexed.
2. Each cell (except Takahashi's) must have a unique dragon part (1 to N²-1).
3. Each d... |
[
{
"content": "Problem: Rectangle $ABCD$ has center $O$ and $AB/AD=k$. A point is randomly chosen from the interior of rectangle $ABCD$. What is the probability that it is closer to $O$ than to any of the four vertices? [asy]\nsize(200);\ndraw((-250,100)--(250,100)--(250,-100)--(-250,-100)--cycle);\ndot((0,0));... | {
"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
} | To solve the problem, we need to determine the probability that a randomly chosen point inside rectangle \(ABCD\) is closer to the center \(O\) than to any of the vertices.
First, let's establish coordinates for the rectangle. Assume \(ABCD\) is a rectangle with \(A = (-a, b)\), \(B = (a, b)\), \(C = (a, -b)\), and \... |
[
{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: For $x \\in \\mathbb{R}$, let the function $y(x)$ be the solution of t... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 425 | JEEBench | {
"expected_answer": "C",
"problem_id": "14",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | To solve the given differential equation and determine which statements are true, we start with the equation:
\[
\frac{dy}{dx} + 12y = \cos\left(\frac{\pi}{12}x\right), \quad y(0) = 0
\]
This is a first-order linear differential equation. The standard form is:
\[
\frac{dy}{dx} + P(x)y = Q(x)
\]
Here, \( P(x) = 12 \... |
[
{
"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": 2,
"temperature": 0.7
} | 2 | 165 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the maximum number of attribute checks a character can pass by optimally spending the acquired attribute points. The character starts with zero Strength and Intelligence. The input consists of a list of records, where each record can be an attribute point acquisition (value 0... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 72 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, I need to simulate the Collatz-like process described. The steps are as follows:
1. **Understand the Process**: The variable `x` is increased by 1, and then while `x` is divisible by `y`, it is divided by `y`. This operation is repeated `k` times.
2. **Iterate for Each Test Case**: The input co... |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_science_camel_physics_eval_636d
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | MMLUPro | JEEBench | GPQADiamond | LiveCodeBench | CodeElo | CodeForces |
|---|---|---|---|---|---|---|---|---|---|
| Accuracy | 14.3 | 56.8 | 73.0 | 28.8 | 37.0 | 40.7 | 13.9 | 5.2 | 6.6 |
AIME24
- Average Accuracy: 14.33% ± 1.42%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 13.33% | 4 | 30 |
| 2 | 13.33% | 4 | 30 |
| 3 | 6.67% | 2 | 30 |
| 4 | 13.33% | 4 | 30 |
| 5 | 13.33% | 4 | 30 |
| 6 | 20.00% | 6 | 30 |
| 7 | 13.33% | 4 | 30 |
| 8 | 16.67% | 5 | 30 |
| 9 | 23.33% | 7 | 30 |
| 10 | 10.00% | 3 | 30 |
AMC23
- Average Accuracy: 56.75% ± 1.66%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 62.50% | 25 | 40 |
| 2 | 60.00% | 24 | 40 |
| 3 | 55.00% | 22 | 40 |
| 4 | 65.00% | 26 | 40 |
| 5 | 52.50% | 21 | 40 |
| 6 | 55.00% | 22 | 40 |
| 7 | 62.50% | 25 | 40 |
| 8 | 55.00% | 22 | 40 |
| 9 | 52.50% | 21 | 40 |
| 10 | 47.50% | 19 | 40 |
MATH500
- Accuracy: 73.00%
Accuracy Questions Solved Total Questions 73.00% 365 500
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: 37.04% ± 0.83%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 38.06% | 196.0 | 515 |
| 2 | 35.00% | 180.25 | 515 |
| 3 | 38.06% | 196.0 | 515 |
GPQADiamond
- Average Accuracy: 40.74% ± 2.16%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 41.41% | 82 | 198 |
| 2 | 35.86% | 71 | 198 |
| 3 | 44.95% | 89 | 198 |
LiveCodeBench
- Average Accuracy: 13.89% ± 0.34%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 14.48% | 74 | 511 |
| 2 | 13.89% | 71 | 511 |
| 3 | 13.31% | 68 | 511 |
CodeElo
- Average Accuracy: 5.20% ± 0.60%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 5.37% | 21 | 391 |
| 2 | 4.09% | 16 | 391 |
| 3 | 6.14% | 24 | 391 |
CodeForces
- Average Accuracy: 6.62% ± 0.25%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 6.18% | 28 | 453 |
| 2 | 6.62% | 30 | 453 |
| 3 | 7.06% | 32 | 453 |
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