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 425 187k |
|---|---|---|---|---|---|---|
[
{
"content": "Problem: Let $p(x)$ be a polynomial of degree 5 such that\n\\[p(n) = \\frac{n}{n^2 - 1}\\]for $n = 2,$ 3, 4, $\\dots,$ 7. Find $p(8).$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 11 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve for \( p(8) \) given that \( p(n) = \frac{n}{n^2 - 1} \) for \( n = 2, 3, 4, \ldots, 7 \) and \( p(x) \) is a polynomial of degree 5, we can use the method of Lagrange interpolation or consider the properties of polynomials. Let's proceed step by step.
First, note that the given points are \( n = 2 \) to \( 7... |
[
{
"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: Let $\\alpha, \\beta$ and $\\gamma$ be real numbers such that ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 330 | JEEBench | {
"expected_answer": "1.00",
"problem_id": "43",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve this problem, we need to determine the value of \( |\mathrm{M}| \), where \( \mathrm{M} \) is the determinant of a specific matrix. The problem involves analyzing the consistency of a system of linear equations and then computing the determinant based on the given conditions.
### Step 1: Understanding the Con... |
[
{
"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: There are three bags $B_{1}, B_{2}$ and $B_{3}$. The bag $B_{1}$ conta... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 206 | JEEBench | {
"expected_answer": "AB",
"problem_id": "43",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | To solve this problem, we need to analyze each statement step by step using the given probabilities and the rules of conditional probability.
First, let's summarize the given information:
- Bags: \( B_1, B_2, B_3 \)
- Probabilities of choosing each bag: \( P(B_1) = \frac{3}{10}, P(B_2) = \frac{3}{10}, P(B_3) = \frac{4... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: This question refers to the following information.\nAn Act to place certain restrictions on Immigration and to provide for the removal from the Commo... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 3 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine which economic activity most contributed to the rising levels of immigration leading to the enactment of the Chinese Exclusion Act of 1882, we need to analyze the context and the historical background of that time.
The Chinese Exclusion Act was passed in response to concerns about the impact of Chinese la... |
[
{
"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 | 353 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem statement is a bit complex, so I need to break it down step by step.
So, the task is to find the maximum possible beauty of the array a after performing some new operations, given that we can choose v and then apply any number of new operations (prefix or suffi... |
[
{
"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 | 364 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the task is to find four sticks from a given list that can form an isosceles trapezoid. The trapezoid must have a positive area, so the condition is that the absolute difference between the two bases is less than twice the length of the legs.
First, I need to think about ... |
[
{
"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 | 152 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, so the problem is about Alyona assembling a square jigsaw puzzle over n days. Each day she adds some pieces, and we need to determine on how many days the assembled puzzle is a perfect square of an odd side length. Oh right, because that's when she's happy.
Wait, the key ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.A truck has two fuel tanks. You are given two integers, mainTank representing the fuel present in the main tank in liters and additionalTank representing the f... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 51 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is about a truck with two fuel tanks. The main tank and an additional tank. The truck's mileage is 10 km per liter. But here's the thing: whenever the main tank uses up 5 liters, if the additional tank has at least 1 liter, then 1 liter from the additional is transferred to the main... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Dienes are organic compounds with two adjacent double bonds in their structure, and they exhibit unique reactivity due to their conjugated pi-electron system. They play ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 25 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let's tackle this problem step by step. The problem is about identifying the correct reactant (A) that would form the given product (8,8-diiodobicyclo[4.2.0]octan-7-one) through a chemical reaction. Additionally, we need to arrange the dienes in order of their reactivity from most to least reactive.
First, let's under... |
[
{
"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 | 271 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this auto-complete problem. Hmm, the requirements are a bit involved, so I need to think through the approach carefully.
So, the editor supports four operations: adding a pattern, deleting a pattern, appending to the current text, and backspacing. After each operation, we need to find the be... |
[
{
"content": "Problem: There is a total of 70 squares of three sizes whose vertices are points on this rectangular $3\\times n$ grid of points. What is the value of $n$?\n\n[asy]\n\nunitsize(0.4 inch);\n\ndot((0,0),linewidth(9bp));\ndot((1,0),linewidth(9bp));\ndot((2,0),linewidth(9bp));\ndot((0,1),linewidth(9bp... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 168 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve the problem, we need to determine the value of \( n \) such that the total number of squares of three different sizes in a \( 3 \times n \) grid of points is 70. Let's break down the problem step by step.
First, we need to understand how the squares of different sizes can be formed in the grid. The grid is a ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.The problem involves tracking the frequency of IDs in a collection that changes over time. You have two integer arrays, nums and freq, of equal length n. Each ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 467 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to track the frequency of IDs after each step, considering both adding and removing. The output should be an array where each element is the count of the most frequent ID at that step. And if the collection is empty, output 0.
Hmm. So the steps are: fo... |
[
{
"content": "Problem: Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations:\n \\[\\log_2\\left({x \\over yz}\\right) = {1 \\over 2}\\] \\[\\log_2\\left({y \\over xz}\\right) = {1 \\over 3}\\] \\[\\log_2\\left({z \\over xy}\\right) = {1 \\over 4}\\] \nThen the value of... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 3 | AIME24 | {
"expected_answer": "33",
"problem_id": "aime24-3",
"reference_solution": "Denote $\\log_2(x) = a$ , $\\log_2(y) = b$ , and $\\log_2(z) = c$ . Then, we have:\n $a-b-c = \\frac{1}{2}$ \n $-a+b-c = \\frac{1}{3}$ \n $-a-b+c = \\frac{1}{4}$ Now, we can solve to get $a = \\frac{-7}{24}, b = \\frac{-9}{24}, c = \\... | We start with the given system of equations:
\[
\log_2\left(\frac{x}{yz}\right) = \frac{1}{2}
\]
\[
\log_2\left(\frac{y}{xz}\right) = \frac{1}{3}
\]
\[
\log_2\left(\frac{z}{xy}\right) = \frac{1}{4}
\]
Let's denote these equations as (1), (2), and (3) respectively. We can rewrite each equation in terms of exponents.... |
[
{
"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 | 110 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem is about checking if a given template (string with Y, D, X, and possibly '?') can be transformed into a Yandex cuneiform following specific insertion rules. And if possible, we need to output the steps as well.
First, the problem states that the template can ha... |
[
{
"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: A particle of mass $m$ moves in circular orbits with potential energy ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 243 | JEEBench | {
"expected_answer": "BC",
"problem_id": "7",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | To solve this problem, we need to analyze the given potential energy function and apply the Bohr model to determine the relationships between the radius of the orbit, the speed, and the energy of the particle. Let's proceed step by step.
### Step 1: Understanding the Potential Energy
The potential energy is given by \... |
[
{
"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 | 385 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to determine if a melody is perfect based on the intervals between adjacent notes. The intervals must be either 5 or 7 semitones. Hmm.
So the problem says that for each melody, given a sequence of notes, I have to check consecutive pairs. For each pair... |
[
{
"content": "Problem: Consider the paths of length $16$ that follow the lines from the lower left corner to the upper right corner on an $8\\times 8$ grid. Find the number of such paths that change direction exactly four times, as in the examples shown below. [asy] size(10cm); usepackage(\"tikz\");label(\"... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 3,
"temperature": 0.7
} | 3 | 20 | AIME24 | {
"expected_answer": "294",
"problem_id": "aime24-20",
"reference_solution": "We divide the path into eight “ $R$ ” movements and eight “ $U$ ” movements. Five sections of alternative $RURUR$ or $URURU$ are necessary in order to make four “turns.” We use the first case and multiply by $2$ . <br/>\nFor $U$ ,... | To solve this problem, we need to determine the number of paths of length 16 that start at the lower left corner (0,0) and end at the upper right corner (8,8) on an 8x8 grid, changing direction exactly four times.
First, let's understand the structure of the path. A path from (0,0) to (8,8) must consist of 8 right mo... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: \"1,2-Rearrangement reaction in which vicinal diols are allowed to react with acid is called Pinacol Pinacolone rearrangement reaction. This reaction proceeds through th... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 33 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let me think about this problem step by step. The question is about the Pinacol-Pinacolone rearrangement reaction. So, first, I need to understand what this reaction does. The problem states that when vicinal diols react with an acid, they form a carbocation, leading to a group shift. So the key here is that the rearra... |
[
{
"content": "Problem: What is the sum of the digits in the terminating decimal representation of the fraction $\\frac{4321}{5^7\\cdot2^8}$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 223 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the sum of the digits in the terminating decimal representation of 4321 divided by 5^7 times 2^8. Hmm. Let me start by simplifying this fraction.
First, I remember that a terminating decimal comes from a denominator that, when simplified, has only 2 and 5 as prime factors. So th... |
[
{
"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 words containing n strings.\nLet's define a join operation join(x, y) between two strings x and y as concatenating them into xy... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 48 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the minimum possible length of the final string after performing n-1 join operations. Let's think through the problem step by step.
First, let's understand the join operation. When joining two strings x and y, if the last character of x is the same as the... |
[
{
"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: At $298 \\mathrm{~K}$, the limiting molar conductivity of a we... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 354 | JEEBench | {
"expected_answer": "0.86",
"problem_id": "26",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | To solve this problem, we need to determine the value of \( y \) given the molar conductivity of a weak monobasic acid at different concentrations. Let's proceed step by step.
### Step 1: Understanding the Problem
We are given:
- The limiting molar conductivity (\( \Lambda \)) of the acid at \( 298 \, \text{K} \) is \... |
[
{
"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 | 52 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem statement says that we need to ensure no interval of m consecutive weak spots (0s) exists. To do this, Rostam can use Timar to strengthen any segment of k consecutive spots, turning them all into 1s. We need to find the minimum number of such operations required... |
[
{
"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 | 17 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to tackle this problem. Hmm, the problem statement is a bit complex, so I need to break it down step by step.
So, the task is to find the maximum possible score by performing up to k operations, each of which increases a_i by 1 where b_i is 1. The score is the maximum of (a_i + median of c_i) f... |
[
{
"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 | 95 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is about determining Jane's problem-solving skill x. The input gives several test cases. For each test case, we have n problems with difficulties d_1 to d_n. The last problem is the hardest, so all previous ones are easier. Jane solved all except the last one. We need to find x uniq... |
[
{
"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 | 113 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, so the problem is about Alice and Bob playing a game with cakes. Each has to eat cakes optimally, with Alice trying to maximize the number of cakes she eats, and Bob trying to minimize it.
Let me read the problem statement again to make sure I understand the rules.
So, ... |
[
{
"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 | 37 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the number of good subarrays in a given array. A subarray is good if when sorted, the two medians (the middle elements) are equal. Hmm. So, for an array to be good, its sorted version must have the middle elements (floor and ceil of (m+1)/2) being the same.
Wait, the problem sa... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Which of the following combination will produce $\\mathrm{H}_{2}$ gas?\n[... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 101 | JEEBench | {
"expected_answer": "C",
"problem_id": "22",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | To determine which combination will produce H₂ gas, we need to analyze each option and see if a reaction occurs that produces hydrogen gas (H₂). Let's examine each option step by step.
**Option [A]: Fe metal and conc. HNO₃**
Iron (Fe) reacts with concentrated nitric acid (HNO₃) in a vigorous exothermic reaction. The ... |
[
{
"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 an integer array nums. The uniqueness array of nums is the sorted array that contains the number of distinct elements of all the subarrays of num... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 491 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to find the median of the uniqueness array of a given nums array. The uniqueness array is the sorted array of the number of distinct elements in all possible subarrays. Hmm. So the median is the middle element of this sorted array. If even length, take ... |
[
{
"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 | 78 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem is about finding the smallest cost connected subset of vertices in a tree, with the constraints that each value from 1 to n is present at least once. Each vertex has a cost of 2^i, so the subset's total cost is the sum of 2^i for each vertex i in the subset. We ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: cyclohexanone is treated with LDA at low temperature, followed by benzaldehyde. the reaction mixture is then acidified, forming product 1.\n\n1 is then treated with an e... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 90 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the structure of product 2 formed when the reaction mixture of cyclohexanone treated with LDA and benzaldehyde is acidified, and then treated with excess diethylaminosulfur trifluoride (DAST). Let's break down the steps involved.
### Step 1: Reaction of Cyclohexanone with LD... |
[
{
"content": "Problem: When $n$ standard six-sided dice are rolled, the product of the numbers rolled can be any of $936$ possible values. What is $n$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 6,
"temperature": 0.7
} | 6 | 31 | AMC23 | {
"expected_answer": "11",
"problem_id": "40",
"reference_solution": "",
"subject": null,
"type": null
} | To solve for \( n \) such that the product of the numbers rolled on \( n \) standard six-sided dice can be any of 936 possible values, we need to analyze the possible products and their factors.
First, note that each die can roll a value from 1 to 6. The product of \( n \) dice rolls will be an integer between \( 1^n ... |
[
{
"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 strings details. Each element of details provides information about a given passenger compressed into a string of length 15.... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 9 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to count the number of passengers over 60 years old based on their details array. Let's see. Each element in the details array is a string of length 15. The first ten characters are the phone number, then the next character is the gender, then two for age, and two... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: Compute the heat gained by the room at 80°F from a vertical plate3 ft. wide and 4 ft. high maintained at 115°F.\nOptions: A. 550.3 Btu/hr, B. 684.2 B... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 256 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to compute the heat gained by the room due to a vertical plate that is maintaining a higher temperature. The key here is to use the formula for heat transfer through a surface, which depends on the temperature difference, the area of the surface, and the heat transfer coefficient. However... |
[
{
"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 | 89 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is to find the minimum number of operations to reduce n to 0 by subtracting any power of k each time. Hmm. So each operation is subtracting k^x where x is a non-negative integer. The key is to find the minimal steps.
Wait, the editorial mentions that if k is 1, then each step subtr... |
[
{
"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 | 103 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the task is to simulate the stabilization algorithm on a matrix. The algorithm keeps finding and subtracting 1 from certain cells until no more such cells exist. The key is to figure out, for each cell in the matrix, whether it's a "peak" in its neighborhood and when it's g... |
[
{
"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 | 81 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem is about Alice and Bob playing a game with balls. The goal is to find the expected scores of both players when they take turns picking balls until all are gone. The balls are special and non-special, and the selection affects whose turn it is next. Oh right, and... |
[
{
"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 2D array variables where variables[i] = [a_i, b_i, c_i, m_i], and an integer target.\nAn index i is good if the following formula hol... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 155 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find all the indices in a 2D array that satisfy a certain formula. Let's see. The problem says that for each index i, the formula ((a_i^b_i % 10)^c_i) % m_i should equal the target. Oh right, and I have to return the array of those indices in any order.
Hmm. S... |
[
{
"content": "Problem: How many positive perfect squares less than $2023$ are divisible by $5$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 16 | AMC23 | {
"expected_answer": "8",
"problem_id": "18",
"reference_solution": "",
"subject": null,
"type": null
} | To determine how many positive perfect squares less than 2023 are divisible by 5, we can follow these steps:
1. **Identify the form of the numbers**: A number divisible by 5 must end in 0 or 5. Therefore, the square of the number must also end in 0 or 5. This implies that the original number must end in 0, 5, or -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 the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 145 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem is asking for, given a graph and some nodes that need internet, to find the minimal total latency when choosing up to k nodes to place servers. For each k from 1 to n, we need to output the minimum possible total latency.
First, I need to understand what the pr... |
[
{
"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 two strings s and t such that every character occurs at most once in s and t is a permutation of s.\nThe permutation difference between s and t i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 499 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to generate a Python function that calculates the permutation difference between two strings s and t. The permutation difference is the sum of the absolute differences between the indices of each character's occurrence in s and t. Let's see.
First, the function will take two parameters, s and t. B... |
[
{
"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 3\\times3 grid with numbers between 1 and 9, inclusive, written in each square. The square at the i-th row ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 276 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to write a Python function that calculates the probability that Takahashi doesn't get disappointed when he sees the numbers in a certain order. The grid has certain constraints, and the problem is about the probability of a permutation of the grid's numbers not having any line (vertical,... |
[
{
"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 | 335 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out this problem. So the task is to find the minimum number of integers to remove from an array so that the remaining elements form a vulnerable array. A vulnerable array can be sorted in non-increasing order by repeatedly applying Stalin Sort to any of its subarrays.
First, I need t... |
[
{
"content": "Problem: Consider the rectangle with vertices at $(5,4),$ $(5,-4),$ $(-5,4),$ $(-5,-4)$. How many integer coordinates will be strictly inside the rectangular region?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 299 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine the number of integer coordinates strictly inside the rectangle with vertices at \((5,4)\), \((5,-4)\), \((-5,4)\), and \((-5,-4)\), we need to identify the range of \(x\) and \(y\) values that lie within the bounds of the rectangle.
First, let's identify the bounds for \(x\) and \(y\):
- The \(x\)-coordi... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: An organic chemist performs two reactions.\nReaction I:\n(S)-5-methoxyhexan-3-one is treated with LAH followed by an acidic workup.\nReaction II:\nPentane-2,4-dione is t... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 125 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let's break down the problem step by step.
First, consider Reaction I: (S)-5-methoxyhexan-3-one treated with LAH followed by an acidic workup. LAH reduction would reduce the ketone group. Since the starting material is (S)-5-methoxyhexan-3-one, reducing the ketone would give (S)-5-methoxyhexanol. However, after reduct... |
[
{
"content": "Problem: You have seven bags of gold coins. Each bag has the same number of gold coins. One day, you find a bag of 53 coins. You decide to redistribute the number of coins you have so that all eight bags you hold have the same number of coins. You successfully manage to redistribute all the coins,... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 50 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let's denote the number of coins in each of the seven bags initially as \( x \). So, the total number of coins before finding the 53 coins is \( 7x \). After adding the 53 coins, the total becomes \( 7x + 53 \). This total must be divisible by 8, so that each of the eight bags can have the same number. Therefore, \( 7x... |
[
{
"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 | 70 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem is about finding the minimal cost path on an n x n grid, starting from (1,1) and ending at (n,n). The cost of each cell (i,j) is the sum of gcd(i,a) and gcd(j,b). The path cost is the sum of all cells' costs along the path. So we need to find the path with the 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 permutation of n integers nums.\nA permutation is called semi-ordered if the first number equals 1 and the last number equals n. You ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 19 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the minimum number of swaps to make a permutation semi-ordered. A semi-ordered permutation starts with 1 and ends with n. The operations allowed are swapping adjacent elements.
Hmm, the key here is that the first element must be 1 and the last must be n. All other elements can ... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: Clay contains 30 % AI_2 O_3, 55 % SiO_2, and 15 % H_2 O. What weight of limestone is required per ton of clay to carry out the following chemical cha... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 177 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the amount of limestone (CaCO₃) required per ton of clay to carry out the given chemical reaction. Let's break down the problem step by step.
### Step 1: Understand the Chemical Reaction
The reaction given is:
\[ 6\text{CaCO}_3 + \text{Al}_2\text{O}_3 + \text{SiO}_2 \rightar... |
[
{
"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 | 276 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to tackle this problem. Hmm, the problem statement is a bit long, so I need to read it carefully.
So, the task is to calculate for each state u, the minimum cost plan to construct railroads such that when u is the central prison, all other states are connected, and the central state has no rail... |
[
{
"content": "Problem: Find all the integer roots of\n\\[x^4 + 5x^3 + 9x^2 - x - 14 = 0.\\]Enter all the integer roots, separated by commas.\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 456 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To find all integer roots of the polynomial equation \(x^4 + 5x^3 + 9x^2 - x - 14 = 0\), we can use the Rational Root Theorem. The Rational Root Theorem states that any possible rational root, expressed as a fraction \( \frac{p}{q} \), must have \( p \) as a factor of the constant term (here, -14) and \( q \) as a fact... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: A marine research facility uses a towing basin to test models of proposed ship hull configurations. A new hull shape utilizing a bulbous underwater b... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 6 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the anticipated hull speed of the prototype ship based on the testing results of a model in a towing tank. The key here is understanding the principles of scaling laws in fluid dynamics, specifically Archimedes' principle and the Froude number, which relates to wave resistanc... |
[
{
"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 | 146 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem is asking for, given a graph and a set of nodes that need internet, to find the minimal total latency when choosing up to k servers. For each k from 1 to n, we need to output the minimum possible total latency.
First, let's understand the problem again. Each se... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Let $\\psi_1:[0, \\infty) \\rightarrow \\mathbb{R}, \\psi_2:[0, \\infty) ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 375 | JEEBench | {
"expected_answer": "C",
"problem_id": "51",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | To solve this problem, we need to analyze each statement given and determine which one is true. Let's break down each part step by step.
### Statement (A): \( f(\sqrt{\ln 3}) + g(\sqrt{\ln 3}) = \frac{1}{3} \)
First, compute \( f(\sqrt{\ln 3}) \):
\[ f(x) = \int_{-x}^x (|t| - t^2) e^{-t^2} \, dt. \]
Since the integra... |
[
{
"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 | 119 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. So the task is to find the minimum number of operations needed to turn a multiset {n} into a multiset of all ones, using the given k. Each operation allows us to take a number u from the set, remove it, and add back up to k numbers whose sum is equal to u.
Hmm. Let's think abo... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: In the United States what is the first day of spring?\nOptions: A. 15-Mar, B. 30-Apr, C. 21-May, D. 30-Mar, E. 1-May, F. 21-Mar, G. 1-Apr, H. 21-Feb,... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 38 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine the first day of spring in the United States, we need to understand the astronomical definition of the seasons. The first day of spring is known as the vernal equinox, which occurs when the Sun crosses the celestial equator, leading to nearly equal day and night lengths.
The vernal equinox typically happe... |
[
{
"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: An acidified solution of $0.05 \\mathrm{M} \\mathrm{Zn}^{2+}$ ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 293 | JEEBench | {
"expected_answer": "0.2",
"problem_id": "36",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's see. I need to find the minimum molar concentration of H+ required to prevent the precipitation of ZnS. Hmm. So the problem is about the solubility equilibrium of ZnS in the presence of H+ ions from H2S.
First, I remember that the solubility product constant (Ksp) for ZnS is 1.25 × 10^-22. The que... |
[
{
"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 integer array nums.\nA subsequence of nums having length k and consisting of indices i_0 < i_1 < ... < i_k-1 is balanced if the follo... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 124 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the maximum sum of a balanced subsequence in an array. Let's see the problem statement again. A balanced subsequence is one where for each consecutive pair, the difference between the elements is at least the difference between their indices. And the subse... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Let $m$ be the smallest positive integer such that the coefficient of $x^{2}$ in the expansion of $(1+x)^{2}+(... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 38 | JEEBench | {
"expected_answer": "5",
"problem_id": "51",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | To solve this problem, we need to find the smallest positive integer \( m \) such that the coefficient of \( x^2 \) in the expansion of the given sum \((1+x)^2 + (1+x)^3 + \cdots + (1+x)^{49} + (1+mx)^{50}\) is equal to \((3n + 1) \binom{51}{3}\) for some positive integer \( n \). Then, we need to determine the value o... |
[
{
"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 an enemy with stamina A. Every time you attack the enemy, its stamina reduces by B.\nAt least how many times... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 196 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to write a Python function that takes input from stdin and calculates the minimum number of attacks needed to reduce the enemy's stamina to zero or less. The inputs are A and B, where A is the initial stamina, and B is the damage per attack. The output is the minimal integer N such that ... |
[
{
"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: Addition of excess aqueous ammonia to a pink coloured aqueous solution... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 78 | JEEBench | {
"expected_answer": "BCD",
"problem_id": "23",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | To solve this problem, we need to determine the correct statements about the complexes formed from the given reactants. Let's break down the problem step by step.
First, let's identify the complexes involved:
1. **Complex X**: It is an aqueous solution of \(\mathrm{MCl}_2 \cdot 6\mathrm{H}_2\mathrm{O}\) and \(\mathrm... |
[
{
"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: A particle of mass $M=0.2 \\mathrm{~kg}$ is initially at rest in the $... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 315 | JEEBench | {
"expected_answer": "ABC",
"problem_id": "13",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | To solve this problem, we need to determine the correct statements regarding the angular momentum and torque of a particle moving under constant acceleration. Let's break down the problem step by step.
### Step 1: Determine the Time to Reach the Target Point
The particle starts at rest at \((x = -l, y = -h)\) and acce... |
[
{
"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 an N \\times M grid and a player standing on it.\r\nLet (i,j) denote the square at the i-th row from the top ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 247 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where a player starts on ice at (2,2) and can move in four directions (up, down, left, right). The goal is to find the number of ice squares they can touch, either by passing through or resting on. The grid has rocks on the outer periphery and possibly inside. The m... |
[
{
"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 | 235 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem statement says that we have to process an array with three variables P, Q, R. Each step, we choose one of the three actions, XORing a_i into one of the variables. The main constraint is that after each action, the three variables can't be pairwise distinct. So, ... |
[
{
"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 directed graph with N vertices and N edges.\r\nThe i-th edge goes from vertex i to vertex A_i. (The constra... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 246 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find a directed cycle in a graph where each node has exactly one outgoing edge. The graph is defined by N nodes and N edges. The i-th edge goes from i to A_i. And I have to find a cycle that doesn't have any repeats. Hmm.
So the problem says that the graph has N vertices and N edges,... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a string s, you need to partition it into one or more balanced substrings. For example, if s == \"ababcc\" then (\"abab\", \"c\", \"c\"), (\"ab\", \"abc\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 507 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the minimum number of balanced substrings to partition a given string. Hmm. So a balanced string is one where every character occurs the same number of times. So, for example, if there are multiple characters, each of them must appear exactly the same number of times in the subst... |
[
{
"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: Let $f: \\mathbb{R} \\rightarrow \\mathbb{R}$ be a differentia... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 310 | JEEBench | {
"expected_answer": "4",
"problem_id": "53",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve for \( f(0) \), we start by analyzing the given integral equation:
\[
\int_{0}^{\pi} \left( f'(x) + F(x) \right) \cos x \, dx = 2
\]
where \( F(x) = \int_{0}^{x} f(t) \, dt \). Let's substitute \( F(x) \) into the integral:
\[
\int_{0}^{\pi} \left( f'(x) + \int_{0}^{x} f(t) \, dt \right) \cos x \, dx = 2
\]... |
[
{
"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 boxes numbered 0 to N-1. Initially, box i contains A_i balls.\nTakahashi will perform the following operat... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 383 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where after performing some operations on boxes, determine the number of balls in each box. Hmm. Let's understand the problem step by step.
So, the initial setup is N boxes, each with A_i balls. Then, we have M operations. Each operation involves taking all balls f... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: The Amalgamated Loan Company received a 6-months note for $1,500, bearing 6% interest and dated May 17, 1976. On September 22, 1976, the note was dis... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 44 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the proceeds from discounting a note. Let's break down the problem step by step.
1. **Identify the key dates and interest rates:**
- Maturity Date: May 17, 1976 (original note date) + 6 months = November 17, 1976.
- Discount Date: September 22, 1976.
- Face Value (F... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: Compute the impact stress in a steel rod which is hit by a block weighing 45 lbs. The speed of the block is 40 in./sec. The rod is 18 in. long and ha... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 309 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to compute the impact stress in a steel rod when it is hit by a block. The key steps involve calculating the momentum of the block and then determining the stress exerted on the rod due to this momentum.
### Approach
1. **Convert Units**: Ensure all units are consistent. The diameter of ... |
[
{
"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: Let $\\omega \\neq 1$ be a cube root of unity. Then what is th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 211 | JEEBench | {
"expected_answer": "3",
"problem_id": "49",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve the problem, we start by recalling that the cube roots of unity are the solutions to the equation \( \omega^3 = 1 \). The roots are \( 1, \omega, \omega^2 \), where \( \omega = e^{2\pi i / 3} = -\frac{1}{2} + \frac{\sqrt{3}}{2}i \) and \( \omega^2 = e^{-2\pi i / 3} = -\frac{1}{2} - \frac{\sqrt{3}}{2}i \). Thes... |
[
{
"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 | 15 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is to find k distinct integer coordinate points that have (x_c, y_c) as their center. So each point (x_i, y_i) must satisfy x_i + x_c = 0 and y_i + y_c = 0. Because the center is the average of all the points' coordinates. Wait, no. Wait, the center here refers to the mean (average)... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: List-I shows different radioactive decay processes and List-II provides p... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 474 | JEEBench | {
"expected_answer": "A",
"problem_id": "31",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | To solve this problem, we need to determine the correct matching between the radioactive decay processes in List-I and the emitted particles in List-II. Let's analyze each decay process step by step.
### Step 1: Understanding Radioactive Decay
Radioactive decay processes involve the emission of particles (alpha partic... |
[
{
"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 | 340 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is about calculating the strength of a sequence described by pairs (a_i, b_i). The strength is the number of seconds it takes for the array to become empty after each prefix of the pairs is processed. Each second, cosmic rays delete elements that are in positions where the previous ... |
[
{
"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 | 354 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem is about calculating the expected number of days until all vertices in a graph have a message. The graph's edges appear each day with a certain probability, and the message spreads based on those edges appearing. The challenge is to model this probabilistic proc... |
[
{
"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 | 171 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is to find the minimum number of animals on a farm where all legs are either 2 (chickens) or 4 (cows), given the total number of legs n. Hmm.
So, the input is n, which is even, right? Because chickens have 2 legs and cows have 4. So the sum of legs must be even. Wait, but the probl... |
[
{
"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 nums of non-negative integers, and two integers l and r.\nReturn the count of sub-multisets within nums where the sum of elemen... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 105 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the number of sub-multisets of the given array nums where the sum is between l and r, inclusive. And since the answer could be big, return it modulo 1e9+7. Hmm.
First, I should understand what a sub-multiset is. Oh right, it's an unordered collection where each element's count i... |
[
{
"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 people numbered 1 through N.\nEach person has a integer score called programming ability; person i's progr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 255 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to generate a Python function that solves this problem. Let's read the problem carefully.
The problem is about finding the minimum number of points person 1 needs to add to their programming ability so that they become the strongest. In other words, we need to find the smallest x such that P_1 + x... |
[
{
"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 | 298 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem statement says that we have a line of members and a slide show. Each slide must be presented by a specific member (from the b array). After each slide, we can move the front member to any position in the line. The goal is to check, after each update to the b arr... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Let\n\\[\nM=\\left[\\begin{array}{cc}\n\\sin ^{4} \\theta & -1-\\sin ^{2}... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 202 | JEEBench | {
"expected_answer": "C",
"problem_id": "38",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | To solve this problem, we need to determine the values of \(\alpha(\theta)\) and \(\beta(\theta)\) such that the given matrix \(M\) can be expressed as \(\alpha I + \beta M^{-1}\). Then, we find the minimum values of \(\alpha(\theta)\) and \(\beta(\theta)\) over \(\theta \in [0, 2\pi)\) and sum these minima.
First, le... |
[
{
"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: An incandescent bulb has a thin filament of tungsten that is heated to... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 3 | JEEBench | {
"expected_answer": "CD",
"problem_id": "8",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | To solve this problem, we need to analyze the behavior of an incandescent bulb's filament over time when powered at constant voltage. Let's examine each statement step by step.
### Statement (A): The temperature distribution over the filament is uniform.
- **Analysis**: The filament is made of tungsten, which has a h... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Let $X$ be the set of all five digit numbers formed using 1,2,2,2,4,4,0. For example, 22240 is in $X$ while 02... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 494 | JEEBench | {
"expected_answer": "31",
"problem_id": "10",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | To solve this problem, we need to determine the conditional probability \( p \) that a randomly chosen five-digit number from the set \( X \) is a multiple of 20 given that it is a multiple of 5. Then, we will compute \( 38p \).
### Step 1: Understanding the Set \( X \)
The set \( X \) consists of all five-digit numbe... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: If $M=\\left(\\begin{array}{rr}\\frac{5}{2} & \\frac{3}{2} \\\\ -\\frac{3... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 427 | JEEBench | {
"expected_answer": "A",
"problem_id": "16",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | To solve this problem, we need to determine which matrix is equal to \( M^{2022} \) where \( M \) is given as:
\[ M = \left(\begin{array}{rr}\frac{5}{2} & \frac{3}{2} \\ -\frac{3}{2} & -\frac{1}{2}\end{array}\right) \]
### Step 1: Diagonalize the Matrix
First, we check if matrix \( M \) can be diagonalized. To do thi... |
[
{
"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: The circle $C_{1}: x^{2}+y^{2}=3$, with centre at $O$, intersects the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 35 | JEEBench | {
"expected_answer": "ABC",
"problem_id": "48",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | To solve this problem, we need to determine the correct options based on the given geometric configurations. Let's proceed step by step.
1. **Find the Intersection Point P:**
The circle \( C_1 \) is given by \( x^2 + y^2 = 3 \) and the parabola \( C \) by \( x^2 = 2y \). Substitute \( x^2 = 2y \) into the circle's ... |
[
{
"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: Consider one mole of helium gas enclosed in a container at ini... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 247 | JEEBench | {
"expected_answer": "1.77",
"problem_id": "16",
"reference_solution": null,
"subject": "phy",
"type": "Numeric"
} | To solve this problem, we need to calculate the work done by helium gas during both isothermal and adiabatic expansions and then find the ratio of these works. Let's proceed step by step.
### Step 1: Isothermal Expansion
For an isothermal expansion of an ideal gas, the work done is given by:
\[ W_{\text{iso}} = nRT \l... |
[
{
"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 | 165 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. So the task is to find the maximum total petals the girl can get by selecting flowers such that the difference between any two flowers in the bouquet is at most one. And the cost is the sum of their petals, which must not exceed m. The goal is to maximize the sum.
Hmm, so first... |
[
{
"content": "Problem: If $\\sqrt{3x-5}=2$, find all possible values of $x$.\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 117 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve the equation \(\sqrt{3x-5} = 2\), we need to eliminate the square root by squaring both sides of the equation. Let's go through the steps in detail.
1. **Square both sides**: To remove the square root on the left side, we square both sides of the equation.
\[
(\sqrt{3x-5})^2 = 2^2
\]
This simplifi... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: When light of a given wavelength is incident on a metallic surface, the m... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 436 | JEEBench | {
"expected_answer": "A",
"problem_id": "34",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | To solve this problem, we need to determine the wavelength of the first source and the work function of the metal using the given information about the stopping potentials for two different light sources. Let's proceed step by step.
### Step 1: Understanding the Problem
We know that when light of a given wavelength \(... |
[
{
"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.Keyence has N bases worldwide, numbered 1 to N.\r\nBase i has W_i employees, and at 0 o'clock in Coordinated Universal... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 306 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to find the maximum number of employees that can participate in a one-hour meeting across all bases. The catch is that each employee can only participate if the meeting time is within their local 9:00-18:00 slot. So the meeting time has to be converted ... |
[
{
"content": "Problem: The data in the table below shows the percent of bus riders in a survey of Central H.S. students; 300 males and 300 females in each grade were surveyed. For which grade is the number of its male bus riders closest to $135\\%$ of the number of its female bus riders? \\begin{tabular}{|l|c|c... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 379 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the grade where the number of male bus riders is closest to 135% of the female bus riders. Hmm. So for each grade, I need to calculate 135% of the female percentage and then see how the male percentage compares to that.
Wait, wait. Wait, the problem says "closest to 135% of 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 the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 17 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to tackle this problem. Hmm, the problem statement says that we have to maximize the score by performing operations where we can increase certain elements of a array, and the score is the maximum of (a_i plus the median of the remaining elements).
So the first thing I need to think about is ho... |
[
{
"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.You are given a string S consisting of lowercase English letters and the character ..\r\nPrint the last substring when... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 375 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to write a Python function that takes a string S from stdin and prints the last substring when S is split by dots. Wait, the problem says split by .s, so splitting on each occurrence of '.' and then taking the last part. But wait, the example given is like atcoder.jp becomes jp. So the s... |
[
{
"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 an exam structured as follows.\n\n- The exam consists of N rounds called round 1 to N.\n- In each round, you ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 285 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the minimum score I need in the Nth round to get a final grade of X or higher. The final grade is the sum of all scores except the highest and lowest. Oh right, after sorting the list of all scores, we exclude the first and last elements, then sum the rest.
So the input is N, X... |
[
{
"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.AtCoder Inc. is planning to develop a product. The product has K parameters, whose values are currently all zero. The ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 293 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where AtCoder Inc. wants to raise all their parameters to at least P. The plan is to use development plans that each have a cost and increase certain parameters by certain amounts. But each plan can't be used multiple times. So I need to find the minimum cost to rea... |
[
{
"content": "Problem: In the diagram, two circles, each with center $D$, have radii of $1$ and $2$. The total area of the shaded region is $\\frac5{12}$ of the area of the larger circle. How many degrees are in the measure of (the smaller) $\\angle ADC$?\n[asy]\nsize(4cm);\ndefaultpen(linewidth(0.75));\nreal a... | {
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} | 0 | 324 | MATH500 | {
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} | To solve the problem, we need to determine the measure of angle \( \angle ADC \) in degrees, given that the total area of the shaded region is \( \frac{5}{12} \) of the area of the larger circle. The larger circle has a radius of 2, and the smaller circle has a radius of 1.
First, let's calculate the area of the large... |
[
{
"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... | {
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} | 0 | 365 | CodeElo | {
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} | <think>
Okay, let's tackle this problem. Hmm, the task is to split the array into m subarrays, each of odd length, such that the median of the medians of these subarrays is exactly k. And if possible, output the split; otherwise, output -1.
First, let's understand the problem. The array a is [1, 2, ..., n]. We need to... |
[
{
"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 ... | {
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} | 0 | 410 | CodeForces | {
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} | <think>
Okay, let's tackle this problem. Hmm, the task is to find the number of pairs (i, j) where i ≤ j, and the LCM of a_i and a_j is a semi-prime. A semi-prime is a product of two (not necessarily distinct) primes. So first, I need to figure out for each possible LCM value, whether it's a semi-prime.
Wait, but 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 the ... | {
"do_sample": false,
"max_new_tokens": 32768,
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} | 0 | 128 | CodeForces | {
"expected_answer": "",
"problem_id": "",
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"subject": null,
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} | <think>
Okay, let's tackle this problem. So, the problem is about a permutation and colors. For each position i, we need to find F(i), which is the number of black elements reachable from i by following the permutation's assignments. And the reachability is defined such that if you start at i, and keep applying p_i, ev... |
[
{
"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 | 392 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. Hmm, the problem statement says that Turtle needs to choose a subsequence of length m that satisfies two conditions: the a's are non-decreasing, and all b's in the subsequence are distinct. And we have to maximize the sum of the c's. If it's impossible, output -1.
First, I need... |
[
{
"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,
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} | 1 | 407 | CodeForces | {
"expected_answer": "",
"problem_id": "",
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"subject": null,
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} | <think>
Okay, let's see. The problem is to find the maximum possible score by concatenating arrays in any order. The score is calculated as the sum of the prefix sums of the concatenated array. Hmm.
So, each array is of length m, and there are n arrays. When we concatenate them in a permutation, the resulting array ha... |
[
{
"content": "Problem: Find the quotient when $x^9 + 1$ is divided by $x - 1.$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
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} | 0 | 439 | MATH500 | {
"expected_answer": "",
"problem_id": "",
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"subject": null,
"type": null
} | To solve the problem of finding the quotient when \(x^9 + 1\) is divided by \(x - 1\), we can use polynomial division. Let's go through the steps in detail.
1. **Set up the division**: We need to divide \(x^9 + 1\) by \(x - 1\). Let's write this as:
\[
(x^9 + 1) \div (x - 1)
\]
2. **Polynomial long division*... |
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