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 108 126k |
|---|---|---|---|---|---|---|
[
{
"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 = map(int, input().split())
A = []
B = []
for i in range(M):
a, b = map(int, input().split())
A.append(a)
B.append(b)
# Create a graph to represent the superiorities
graph = {i: set() for i in range(1, N+1)}
for a, ... |
[
{
"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 find the standard molar enthalpy of formation of \(\mathrm{HgO}(s)\) at 298 K, we start by noting the given information:
1. The combusted substance is 2 mol of \(\mathrm{Hg}(g)\).
2. The temperature increases from 298.0 K to 312.8 K.
3. The heat capacity of the bomb calorimeter is 20.00 kJ K\(^{-1}\).
4. The enthal... |
[
{
"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
} | Okay, so I need to figure out how to rearrange the numbers to maximize the number of points Kevin earns. Let me start by understanding the problem again. Each time Kevin adds a number to the sum `s`, if the result is even, he earns a point and keeps dividing by 2 until it's odd. So, the key is to figure out how many ti... |
[
{
"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 stars listed 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 for detection. The problem states that a S/N of at least 10 per binned pixel during a 1-hour exposure is needed for a star to be co... |
[
{
"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, we need to track the possible positions of the joker after each operation. Here's a step-by-step breakdown of the solution:
1. **Initialize the possible positions**:
- The joker starts at position \( m \).
- The possible positions are initially \( [m] \).
2. **Process each operation**:
... |
[
{
"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 determine the number of incremovable subarrays in a given array `nums`, we need to identify all subarrays whose removal results in a strictly increasing array. Here's a step-by-step approach to solve this problem:
1. **Understand the definition**: A subarray is called **incremovable** if, after removing it from the... |
[
{
"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 moment when all the lights in the apartment are turned on. Each room has a chip that changes the light status every \( k \) minutes after being installed at time \( a_i \).
First, we parse the input to get the number of test cases, the number of rooms \( n \), ... |
[
{
"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 track the colors of the vertices and determine after each query whether the black vertices form a chain. Here's the step-by-step thought process:
1. **Understand the Problem**: We have a tree with `n` vertices, each initially colored either white (0) or black (1). We perform `q` querie... |
[
{
"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 in the grid while satisfying the given conditions. Here's a step-by-step approach:
1. **Understand the grid**: The grid is an N x N grid where N is an odd number. The center cell is at position (N//2 + 1, N//2 + 1).
2. **Place Takahashi**: Put Ta... |
[
{
"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 determine the probability that a randomly chosen point from the interior of rectangle \(ABCD\) is closer to the center \(O\) than to any of the vertices, we need to analyze the geometric regions where this condition holds.
First, note that the center \(O\) of the rectangle is the midpoint of both the diagonals \(AC... |
[
{
"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 \(\frac{d y}{d x} + 12 y = \cos \left(\frac{\pi}{12} x\right)\) with the initial condition \(y(0) = 0\), we need to find the solution \(y(x)\) and analyze its properties.
First, we recognize that this is a linear non-homogeneous differential equation. The general solution can b... |
[
{
"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 we can pass by optimally spending the attribute points. Here's the step-by-step thought process:
1. **Understand the Problem**:
- We have two attributes: Strength and Intelligence, both starting at 0.
- We receive `n` records, eac... |
[
{
"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
} | Okay, so I need to solve the Collatz Conjecture problem where you have a variable x, a constant y, and you perform k operations on x. Each operation consists of adding 1 to x and then dividing x by y as many times as possible. The goal is to find the final value of x after k operations.
Let me start by understanding t... |
[
{
"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: Let $a, b \\in \\mathbb{R}$ and $f: \\mathbb{R} \\rightarrow \\mathbb{... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 61 | JEEBench | {
"expected_answer": "AB",
"problem_id": "44",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | To determine the differentiability of the function \( f(x) = a \cos \left( \left| x^3 - x \right| \right) + b \left| x \right| \sin \left( \left| x^3 + x \right| \right) \) at specific points, we need to analyze the behavior of the function and its derivatives at those points.
First, let's check differentiability at \... |
[
{
"content": "Problem: For what value of $x$ is $2^3\\cdot3^x=72$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 79 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve the equation \(2^3 \cdot 3^x = 72\), we start by simplifying the left side.
First, calculate \(2^3\):
\[
2^3 = 8
\]
So the equation becomes:
\[
8 \cdot 3^x = 72
\]
Next, we need to isolate \(3^x\). To do this, divide both sides of the equation by 8:
\[
3^x = \frac{72}{8}
\]
Simplify the right side:
\[
\fra... |
End of preview. Expand in Data Studio
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mlfoundations-dev/a1_math_lap1official_math_eval_636d
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | MMLUPro | JEEBench | GPQADiamond | LiveCodeBench | CodeElo | CodeForces |
|---|---|---|---|---|---|---|---|---|---|
| Accuracy | 9.7 | 41.0 | 65.2 | 27.0 | 23.9 | 33.2 | 16.6 | 2.6 | 2.7 |
AIME24
- Average Accuracy: 9.67% ± 1.10%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 13.33% | 4 | 30 |
| 2 | 10.00% | 3 | 30 |
| 3 | 10.00% | 3 | 30 |
| 4 | 3.33% | 1 | 30 |
| 5 | 13.33% | 4 | 30 |
| 6 | 6.67% | 2 | 30 |
| 7 | 13.33% | 4 | 30 |
| 8 | 6.67% | 2 | 30 |
| 9 | 6.67% | 2 | 30 |
| 10 | 13.33% | 4 | 30 |
AMC23
- Average Accuracy: 41.00% ± 1.55%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 37.50% | 15 | 40 |
| 2 | 37.50% | 15 | 40 |
| 3 | 45.00% | 18 | 40 |
| 4 | 32.50% | 13 | 40 |
| 5 | 45.00% | 18 | 40 |
| 6 | 50.00% | 20 | 40 |
| 7 | 37.50% | 15 | 40 |
| 8 | 40.00% | 16 | 40 |
| 9 | 45.00% | 18 | 40 |
| 10 | 40.00% | 16 | 40 |
MATH500
- Accuracy: 65.20%
Accuracy Questions Solved Total Questions 65.20% 326 500
MMLUPro
- Average Accuracy: 27.00% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 27.00% | 135 | 500 |
JEEBench
- Average Accuracy: 23.92% ± 0.34%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 24.76% | 127.5 | 515 |
| 2 | 23.45% | 120.75 | 515 |
| 3 | 23.54% | 121.25 | 515 |
GPQADiamond
- Average Accuracy: 33.16% ± 0.60%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 33.33% | 66 | 198 |
| 2 | 34.34% | 68 | 198 |
| 3 | 31.82% | 63 | 198 |
LiveCodeBench
- Average Accuracy: 16.63% ± 0.97%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 16.44% | 84 | 511 |
| 2 | 15.07% | 77 | 511 |
| 3 | 18.40% | 94 | 511 |
CodeElo
- Average Accuracy: 2.64% ± 0.31%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 3.07% | 12 | 391 |
| 2 | 2.05% | 8 | 391 |
| 3 | 2.81% | 11 | 391 |
CodeForces
- Average Accuracy: 2.72% ± 0.27%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 3.09% | 14 | 453 |
| 2 | 2.87% | 13 | 453 |
| 3 | 2.21% | 10 | 453 |
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