context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 9
values | metadata dict | model_outputs stringlengths 1 158k |
|---|---|---|---|---|---|---|
[
{
"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 | 156 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where Robin Hood is trying to make people unhappy by increasing the richest person's wealth. Let's read the problem carefully.
So, the problem says that after the richest person increases their wealth by x (non-negative), more than half of the population becomes unhappy. Unha... |
[
{
"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 an integer N and a string S consisting of 0, 1, and ?.\nLet T be the set of values that can be obtained ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 193 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where given a binary string S with some '?' characters, and an integer N, I have to find the maximum number in the set T that's less than or equal to N. If there's none, return -1.
Let me think about the steps here. So, the problem is about generating all possible binary numb... |
[
{
"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 | 409 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where for each test case, I have a tree with n vertices and an array a. For each vertex i, I need to determine if there's a non-trivial path that has i as the majority. The output is a binary string where each bit is 1 if such a path exists for that vertex.
Let me start by un... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: trans-cinnamaldehyde was treated with methylmagnesium bromide, forming product 1.\n\n1 was treated with pyridinium chlorochromate, forming product 2.\n\n3 was treated wi... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 1 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let me think step by step.
First, the problem starts with trans-cinnamaldehyde being treated with methylmagnesium bromide. Trans-cinnamaldehyde is a molecule with a double bond in the trans configuration. When we react it with an格 (I assume this is a typo and should be "Grignard reagent," which is methylmagnesium brom... |
[
{
"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 | 214 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out how to solve this problem. So the problem is about cosmic rays deleting elements in an array over time, and we need to compute the strength of the array for each prefix of the given pairs. The strength is the number of seconds it takes for the array to become empty.
First, let's u... |
[
{
"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.In the calendar of AtCoder Kingdom, a year consists of M months from month 1 to month M, and each month consists of D ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 337 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where given a date in the AtCoder Kingdom's calendar, I have to find the next day. Let's see the problem statement again.
The calendar works such that each year has M months, and each month has D days. So, for example, if M is 12 and D is 30, like in sample input 1, then each... |
[
{
"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: Over the past several decades, attitudes toward premarital sex have __________; attitudes toward extramarital sex have __________.\nOptions: A. becom... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 19 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the correct sequence of changes in attitudes toward premarital sex and extramarital sex over several decades. Let's analyze each term step by step.
First, consider the term "premarital sex." Over the past several decades, many societies have become more permissive regarding ... |
[
{
"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 | 293 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to calculate the expected total strength of the deployment in the narrow passageway. Let's try to understand the problem step by step.
First, the passageway is a grid with 2 rows and N columns. Each cell (r,c) has a power P_r,c. Each column has a 50% chance of be... |
[
{
"content": "Problem: How many complex numbers satisfy the equation $z^5=\\overline{z}$, where $\\overline{z}$ is the conjugate of the complex number $z$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 5 | AMC23 | {
"expected_answer": "7",
"problem_id": "5",
"reference_solution": "",
"subject": null,
"type": null
} | To solve the equation \( z^5 = \overline{z} \), where \( \overline{z} \) is the conjugate of \( z \), we start by expressing \( z \) in its polar form. Let \( z = re^{i\theta} \), where \( r \) is the magnitude and \( \theta \) is the argument. The conjugate \( \overline{z} \) is then \( re^{-i\theta} \).
Substituting... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: All the following statements about the molecular biology of Severe Acute Respiratory Syndrome Coronavirus 2 (SARS‑CoV‑2) are correct except\n\n\n\nOptions: A) The rate o... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 10 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let me think carefully about each option to determine which one is incorrect.
Option A: The statement mentions that the rate of frameshifting in vitro is linearly correlated with the number of conformations a pseudoknot can adopt. It also notes that both SARS-CoV and SARS-CoV-2 have programmed -1 frameshift signals sh... |
[
{
"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: Highly excited states for hydrogen-like atoms (also called Rydberg sta... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 2 | JEEBench | {
"expected_answer": "ABD",
"problem_id": "6",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | $\boxed{\text{A, C}}$
To solve this problem, we need to analyze the behavior of hydrogen-like atoms (Rydberg states) with principal quantum number \( n \) where \( n \gg 1 \). We need to determine which of the given statements about the radii, energy, and angular momenta of consecutive orbitals are true.
### Step 1: ... |
[
{
"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: In a bimolecular reaction, the steric factor $P$ was experimentally de... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 105 | JEEBench | {
"expected_answer": "AB",
"problem_id": "28",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | $\boxed{B}$
To solve this problem, we need to understand the relationship between the steric factor \( P \) and the factors mentioned in the options. Let's break down each option step by step.
First, let's recall the Arrhenius equation and how the steric factor \( P \) affects it. The Arrhenius equation relates the r... |
[
{
"content": "Problem: Positive real numbers $x$ and $y$ satisfy $y^3=x^2$ and $(y-x)^2=4y^2$. What is $x+y$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 1 | AMC23 | {
"expected_answer": "36",
"problem_id": "1",
"reference_solution": "",
"subject": null,
"type": null
} | We start with the given equations for positive real numbers \(x\) and \(y\):
1. \( y^3 = x^2 \)
2. \( (y - x)^2 = 4y^2 \)
Our goal is to find the value of \(x + y\).
First, let's expand the second equation:
\[
(y - x)^2 = y^2 - 2xy + x^2 = 4y^2
\]
Subtract \(y^2\) from both sides:
\[
-2xy + x^2 = 3y^2
\]
Rearran... |
[
{
"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 string word and an integer k.\nWe consider word to be k-special if |freq(word[i]) - freq(word[j])| <= k for all indices i and j in the string.\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 463 | 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 number of deletions to make a word k-special. Let me understand the problem again.
So, the word is k-special if for every pair of characters in the word, the absolute difference of their frequencies is at most k. And I have to find the minimal... |
[
{
"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 graduate student’s dissertation chair, Dr. X, turns out to be of little help, and the student ends up obtaining advice and assistance from an assoc... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 384 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let's analyze the problem step by step.
The key points are:
1. The student's dissertation chair is Dr. X, but the student received significant help and advice from Dr. Z, who is an associate professor.
2. The student is writing a professional journal article based on the dissertation research.
3. The question is 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 th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 286 | 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 partition cards into decks with the same size, and no two cards in the same deck have the same value. The goal is to find the maximum possible deck size after buying up to k cards. Hmm.
First, let's understand the problem. The initial number of card... |
[
{
"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 | 184 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find k distinct points with a fixed center (x_c, y_c). Hmm, let's think about the requirements. The points must have integer coordinates, their average must be exactly (x_c, y_c), and all k points must be distinct. Also, each point's coordinates can be as big o... |
[
{
"content": "Problem: The product of two consecutive positive even integers is 288. What is the greater of the two integers?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 160 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve the problem where the product of two consecutive positive even integers is 288, we need to determine the greater of the two integers. Let's proceed step by step.
First, let's denote the two consecutive even integers. Let the smaller integer be \( x \). Then the next consecutive even integer is \( x + 2 \).
T... |
[
{
"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 containing positive integers.\nYour task is to minimize the length of nums by performing the following operations ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 162 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the minimum possible length of the array after performing the given operations any number of times. The operations allow me to pick two distinct indices, compute their modulus, append it to the end, and then delete those two. The goal is to minimize the length.
Hmm, the example... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: You want to create a mouse embryonic chimera with induced pluripotent stem cells from somatic cells of various tissues. You are interested in the iPSCs fate in the embry... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 75 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To answer this question, let's break down the problem step by step.
The problem involves creating a mouse embryonic chimera using induced pluripotent stem (iPSC) cells. These cells are labeled with mRaspberry, which is a red fluorescent protein, fused under a lineage-specific promoter for each cell type. The goal is t... |
[
{
"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 | 107 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where we have to find the minimum number of plans to distribute initially so that all cities are informed. Hmm. The problem statement says that messengers can carry the plan and when they visit a city, they can make unlimited copies for other messengers there. So th... |
[
{
"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 of length N consisting of lowercase English letters.\nFind the number of non-empty substrings... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 328 | 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 number of non-empty substrings in a given string S that are all the same character. Hmm. Let's think about how to approach this.
First, let's understand the problem. A substring is a contiguous sequence of characters from S. A non-empty substring is a... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Enamine reactions include nucleophilic substitutions, electrophilic additions, and the condensation of secondary amines with carbonyl compounds to generate enamines. Ena... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 37 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is about determining the product (B) of a reaction and the correct sequence of reagents (A) according to the reaction steps. The reaction given is (E)-N-methyl-N-(pentan-2-ylidene)ethanaminium + A → B. The options are provided, and I need to choose the correct one.
First, I 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 th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 379 | 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 compute the maximum possible sum of a prefix of an array after performing some operations. The operations allow us to take two distinct indices i and j (where i < j), and if b_i is even, divide it by 2 and multiply b_j by 2. We can do this any number... |
[
{
"content": "Problem: Points $A$ and $B$ lie on the graph of $y=\\log_{2}x$. The midpoint of $\\overline{AB}$ is $(6, 2)$. What is the positive difference between the $x$-coordinates of $A$ and $B$? The final answer can be written in the form $m \\sqrt{n}$, where $m$ and $n$ are relatively prime positive integ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 6,
"temperature": 0.7
} | 6 | 19 | AMC23 | {
"expected_answer": "9",
"problem_id": "21",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the positive difference between the x-coordinates of points A and B, which lie on the graph of \( y = \log_2 x \). The midpoint of segment AB is given as (6, 2).
First, let's denote the coordinates of points A and B as \( (x_1, y_1) \) and \( (x_2, y_2) \) respectively. Sinc... |
[
{
"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: Words of length 10 are formed using the letters $A, B, C, D, E, F, G, H, I, J$. Let $x$ be the number of such ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 92 | JEEBench | {
"expected_answer": "5",
"problem_id": "47",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | To solve this problem, we need to determine the values of \( x \) and \( y \) where \( x \) is the number of 10-letter words with all distinct letters, and \( y \) is the number of 10-letter words where exactly one letter is repeated twice and no other letters are repeated. Then, we compute the ratio \( \frac{y}{9x} \)... |
[
{
"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 players numbered 1 to N, who have played a round-robin tournament. For every match in this tournament, one... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 295 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to determine the ranking of players based on their match results. Let's see. The input is N players, each with a string S_i. For each i and j, if i != j, S_i[j] is 'o' if i won against j, 'x' if i lost, and '-' when i vs i.
The ranking is determined by the number... |
[
{
"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 representing the initial positions of some marbles. You are also given two 0-indexed integer arrays moveFrom and m... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 39 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to track the positions of marbles after a series of moves and then return the sorted list of occupied positions. Let's see.
The problem says that initially, there are marbles at certain positions given in the nums array. Then, for each step, all marbles at moveFr... |
[
{
"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 array of positive integers nums of length n.\nA polygon is a closed plane figure that has at least 3 sides. The longest side of a polygon is s... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 169 | 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 largest possible perimeter of a polygon that can be formed from the given array of numbers. If it's not possible, return -1. Let's think about how to approach this.
First, the problem states that a polygon with k sides (k >=3) must have its longest si... |
[
{
"content": "Problem: What is the degree measure of the acute angle formed by lines with slopes $2$ and $\\frac{1}{3}$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 2 | AMC23 | {
"expected_answer": "45",
"problem_id": "2",
"reference_solution": "",
"subject": null,
"type": null
} | To find the degree measure of the acute angle formed by lines with slopes \(2\) and \(\frac{1}{3}\), we can use the formula for the angle between two lines. The formula involves the tangent of the angle difference, which can be calculated using the slopes of the two lines.
The formula for the tangent of the angle \(\t... |
[
{
"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.The programming contest World Tour Finals is underway, where N players are participating, and half of the competition ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 296 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this programming problem. Let's read the problem statement carefully.
So, the task is to generate a Python function that takes stdin as input and prints the output. The function should answer, for each player, the minimum number of problems they need to solve from the unsolved ones to exc... |
[
{
"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 the lines $\\mathrm{L}_1$ and $\\mathrm{L}_2$ defined... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 332 | JEEBench | {
"expected_answer": "9.00",
"problem_id": "45",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve this problem, we need to determine the value of \(\lambda^2\) given the conditions described. Let's proceed step by step.
### Step 1: Understanding the Locus of Point P
The locus \(C\) is defined such that the product of the distances from any point \(P(x, y)\) to the lines \(L_1\) and \(L_2\) is \(\lambda^2\... |
[
{
"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 an electrochemical cell: $\\mathrm{A}(\\mathrm{s})\\l... | {
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"seed": 0,
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} | 0 | 169 | JEEBench | {
"expected_answer": "-11.62",
"problem_id": "32",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's try to tackle this problem. Hmm, the problem is about calculating the standard entropy change (ΔS°) for a cell reaction based on given conditions. Let's break down the information provided and see how to approach this step by step.
First, the cell is described as A(s) | A^n+ (aq, 2M) || B^{2n+} (aq... |
[
{
"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: The order of the oxidation state of the phosphorus atom in $\\mathrm{H}_{... | {
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"seed": 0,
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} | 0 | 102 | JEEBench | {
"expected_answer": "C",
"problem_id": "23",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | $\boxed{B}$
**Solution:**
To determine the order of oxidation states of the phosphorus atom in the given compounds, we need to calculate the oxidation state of P in each molecule. The oxidation state (or oxidation number) of an element in a compound is determined based on the charges of the other atoms and the rules ... |
[
{
"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: The electrostatic energy of $Z$ protons uniformly distributed throughout ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 42 | JEEBench | {
"expected_answer": "C",
"problem_id": "1",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | $\boxed{B}$
</s>
abilit. Let's go through the problem step by step.
**Step 1: Understanding the Given Information**
We need to find the radius of the nuclei of ${ }_{7}^{15} \mathrm{N}$ and ${ }_{8}^{15} \mathrm{O}$, which are given to have the same radius. The difference in their binding energies is attributed solel... |
[
{
"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: The mole fraction of urea in an aqueous urea solution containi... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 230 | JEEBench | {
"expected_answer": "2.98",
"problem_id": "30",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | To solve this problem, we need to determine the molarity of an aqueous urea solution given the mole fraction of urea, the mass of water, and the solution's density. Let's break down the problem step by step.
### Step 1: Understanding the Given Data
- **Mole fraction of urea (X\_urea) = 0.05**
- **Mass of water (H₂O) =... |
[
{
"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 pharmacist was employed by a drug store. A long-time customer of the drug store presented a prescription to the pharmacist for the medication Clino... | {
"do_sample": true,
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"seed": 0,
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} | 0 | 366 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
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"subject": null,
"type": null
} | Let's analyze the problem step by step. The customer brought a strict liability tort action against the pharmacist due to taking Clinitest instead of Clinoril, which caused her severe injuries. We need to determine the best defense the pharmacist can use.
First, understand strict liability in tort. Strict liability me... |
[
{
"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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"seed": 2,
"temperature": 0.7
} | 2 | 70 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this Grid Walk problem. Let's see the problem statement again. So, we have an n x n grid, and we start at (1,1) and want to reach (n,n). The allowed moves are right or down. The cost of each cell (i,j) is gcd(i,a) + gcd(j,b). The total cost is the sum of all cells visited along the path. W... |
[
{
"content": "Problem: Let $N$ be the greatest four-digit positive integer with the property that whenever one of its digits is changed to $1$ , the resulting number is divisible by $7$ . Let $Q$ and $R$ be the quotient and remainder, respectively, when $N$ is divided by $1000$ . Find $Q+R$ .\nMark ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 9,
"temperature": 0.7
} | 9 | 6 | AIME24 | {
"expected_answer": "699",
"problem_id": "aime24-6",
"reference_solution": "We note that by changing a digit to $1$ for the number $\\overline{abcd}$ , we are subtracting the number by either $1000(a-1)$ , $100(b-1)$ , $10(c-1)$ , or $d-1$ . Thus, $1000a + 100b + 10c + d \\equiv 1000(a-1) \\equiv 100(b-1... | To solve this problem, we need to find the greatest four-digit integer \( N \) such that changing any one of its digits to 1 results in a number divisible by 7. Then, we need to compute \( Q + R \) where \( Q \) and \( R \) are the quotient and remainder when \( N \) is divided by 1000.
### Approach
1. **Understanding... |
[
{
"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.A polyomino is a puzzle piece in the shape of a connected polygon made by connecting several squares by their edges.\n... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 292 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to determine if three given polyominoes can exactly cover a 4x4 grid without overlapping and without going outside the grid. The polyominoes can be rotated but not flipped or flipped. Hmm. Let's think about how to approach this.
First, the problem requires that a... |
[
{
"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 | 188 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. So the problem is to determine for each impression i whether it's unique. The uniqueness is based on whether there exists a possible array where all elements except i are different from i's value. Hmm.
So the key here is that for each i, if its interval [l_i, r_i] has some constraints. Let's t... |
[
{
"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: For a real number $\\alpha$, if the system\n\\[\n\\left[\\begin{array}{ccc}\n1 & \\alpha & \\alpha^{2} \\\\\n\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 91 | JEEBench | {
"expected_answer": "1",
"problem_id": "46",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | To determine the value of \(1 + \alpha + \alpha^2\) such that the given system of linear equations has infinitely many solutions, we need to analyze the system's matrix and the augmented matrix. The system will have infinitely many solutions if the determinant of the coefficient matrix is zero, and the augmented matrix... |
[
{
"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 | 45 | CodeElo | {
"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 number of special columns in an n x m binary matrix using XOR operations on rows. Let's start by understanding the problem properly.
A special column is one that has exactly one '1'. So, the goal is to flip some rows (using XOR) such that as 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": 0,
"temperature": 0.7
} | 0 | 144 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where Pak Chanek's friend wants to maximize the profit over n days by choosing which drink types to sell each day, with certain constraints. Let me try to understand the problem first.
So, each day, the friend must choose a subarray of drink types (from i to j inclusive) to s... |
[
{
"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 string s and an integer k.\nDefine a function distance(s_1, s_2) between two strings s_1 and s_2 of the same length n as:\n\nThe sum of the min... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 473 | 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 lexicographically smallest string t that can be obtained by changing some characters in s, such that the distance between s and t is at most k. The distance is calculated as the sum of the minimum cyclic distances between each corresponding character i... |
[
{
"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 | 304 | CodeForces | {
"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 possible length of an array after performing some operations. Let's read the problem carefully.
So, the array starts with n elements. Each operation allows choosing a position i (where 1 < i <= current length) such that a_i equals |a| + 1 - i.... |
[
{
"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: ${ }_{92}^{238} \\mathrm{U}$ is known to undergo radioactive d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 258 | JEEBench | {
"expected_answer": "1.2",
"problem_id": "35",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | $\boxed{6.0}$
To solve this problem, we need to determine the number of alpha particles emitted during three half-lives of Uranium-238 (${}_{92}^{238}\text{U}$) decaying to Lead-206 (${}_{82}^{206}\text{Pb}$). The key steps involve understanding the decay process, the number of decays over three half-lives, and conver... |
[
{
"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 arrays of equal length, nums1 and nums2.\nEach element in nums1 has been increased (or decreased in the case of negative) by an integer, repr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 489 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to find the integer x such that when added to each element in nums1, the resulting array equals nums2. The arrays are of equal length, and their element frequencies must match exactly. So, the problem is to determine x for each pair of elements in the two arrays.
Let me think about the examples. I... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A quantum mechanical particle of mass m moves in two dimensions in the following potential, as a function of (r,θ): V (r, θ) = 1/2 kr^2 + 3/2 kr^2 cos^2(θ)\nFind the ene... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 5 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let me tackle this problem step by step. The potential given is V(r, θ) = (1/2)kr² + (3/2)kr² cos²θ. My goal is to find the energy spectrum of a quantum mechanical particle in this potential.
First, I remember that for central potentials, it's convenient to separate variables in polar coordinates (r, θ). The Schröding... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: An atomic nucleus of mass M is at rest with rest-mass energy of 300 GeV. A spontaneous fission occurs in which it splits into two fragments (and nothing else), such that... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 173 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let me think through this problem step by step.
First, the problem states that an atomic nucleus of mass M (with rest-mass energy 300 GeV) undergoes spontaneous fission into two fragments. One fragment is twice as massive as the other, and their total rest mass is 99% of M. We need to find the difference between the a... |
[
{
"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 | 300 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where Pak Chanek has to choose which drink types to sell each day in a way that maximizes the total profit. The constraints are a bit tricky. Let's break it down.
First, the problem says that each day, he must sell at least one type of drink, and the types chosen must form a ... |
[
{
"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 | 157 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to create a matrix B that is a derangement of matrix A. All elements must be unique and cover 1 to n*m. Let's think about how to approach this.
First, the problem is to check if such a matrix B exists. Wait, but the problem says "construct any matrix B that meets... |
[
{
"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: Three lines are given by\n\\[\n\\vec{r} & =\\lambda \\hat{i}, ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 216 | JEEBench | {
"expected_answer": "0.75",
"problem_id": "54",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve this problem, we need to determine the area of the triangle formed by the points where three given lines intersect the plane \(x + y + z = 1\). The lines are given parametrically, and we need to find the coordinates of their intersection points with the plane. Then, we compute the area of the triangle using th... |
[
{
"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.Team Takahashi and Team Aoki are playing a baseball game, with Team Takahashi batting first.\nCurrently, the game has ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 431 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. So the problem is to find the minimum number of runs Team Aoki needs to score in the bottom of the ninth inning to make sure they win the game. Hmm.
The rules say that at the end of the top of the ninth inning, Team Takahashi's score is at least as much as Team Aoki's. So when we look at the i... |
[
{
"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 | 371 | 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 minimize the disturbance in a line of students by swapping certain elements. Hmm. The disturbance is the number of adjacent pairs with the same topic. So the goal is to arrange the array such that as few adjacent pairs as possible have the same a_i a... |
[
{
"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 | 187 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where for each starting position s of Bessie, I have to determine whether she can win (reach island n first) when both cows play optimally. Let's try to understand the problem first.
So the main points are:
- Bessie starts at s, Elsie at 1.
- They alternate turns, Bessie fir... |
[
{
"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 | 163 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to compute binomial coefficients using the wrong formula. Wait, the problem says that the correct formula is something else, but the wrong one was used by akshiM. But according to the example, the pattern is C(n, k) equals 2^k. Hmm, maybe that's a hint here. Let m... |
[
{
"content": "Problem: Find the projection of $\\mathbf{a}$ onto $\\mathbf{b} = \\begin{pmatrix} 2 \\\\ 6 \\\\ 3 \\end{pmatrix}$ if $\\mathbf{a} \\cdot \\mathbf{b} = 8.$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 420 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To find the projection of vector \(\mathbf{a}\) onto \(\mathbf{b} = \begin{pmatrix} 2 \\ 6 \\ 3 \end{pmatrix}\), given that \(\mathbf{a} \cdot \mathbf{b} = 8\), we can follow these steps:
1. **Recall the formula for the projection of \(\mathbf{a}\) onto \(\mathbf{b}\):**
The projection of \(\mathbf{a}\) onto \(\mat... |
[
{
"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": 2,
"temperature": 0.7
} | 2 | 276 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem. Let's read the problem carefully.
So, the problem is about a 3x3 grid where each cell has a number from 1 to 9. The constraints ensure that no row has all three same numbers, no column has all same, the main diagonal isn't all same, and the anti-diagonal (3,1, 2,2, 1,3) isn'... |
[
{
"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 | 366 | 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 operations needed to make sure that every triplet of distinct indices in the array forms a non-degenerate triangle. Hmm.
First, I need to understand what a non-degenerate triangle means. Oh right, the sum of any two sides... |
[
{
"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": 2,
"temperature": 0.7
} | 2 | 31 | AMC23 | {
"expected_answer": "11",
"problem_id": "40",
"reference_solution": "",
"subject": null,
"type": null
} | To determine the value of \( n \) 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 show a number from 1 to 6. The product of \( n \) dice is the product of \( n \) ... |
[
{
"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 integer array nums, an integer modulo, and an integer k.\nYour task is to find the count of subarrays that are interesting.\nA subarr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 74 | 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 number of interesting subarrays. Let me read the problem carefully again.
So, a subarray is interesting if the count of elements in it that are congruent to k modulo 'modulo' is such that this count mod 'modulo' equals k. Got it.
Hmm. So for each pos... |
[
{
"content": "Problem: Every morning Aya goes for a $9$ -kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 4,
"temperature": 0.7
} | 4 | 15 | AIME24 | {
"expected_answer": "204",
"problem_id": "aime24-15",
"reference_solution": "$\\frac{9}{s} + t = 4$ in hours and $\\frac{9}{s+2} + t = 2.4$ in hours. Subtracting the second equation from the first, we get, $\\frac{9}{s} - \\frac{9}{s+2} = 1.6$ Multiplying by $(s)(s+2)$ , we get $9s+18-9s=18=1.6s^{2} + 3.2s$ ... | To solve this problem, we need to determine the time Aya takes for her 9-kilometer walk when she walks at a speed of \( s + \frac{1}{2} \) kilometers per hour, including the time spent in the coffee shop. The problem provides two scenarios with different speeds and total times, which we can use to set up equations to f... |
[
{
"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 $f: \\mathbb{R} \\rightarrow \\mathbb{R}$ and $g: \\mathbb{R} \\ri... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 141 | JEEBench | {
"expected_answer": "BC",
"problem_id": "41",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | To solve this problem, we need to analyze the given differential equation and use the initial conditions to determine which of the provided statements are true.
Given:
1. \( f'(x) = e^{f(x) - g(x)} \cdot g'(x) \) for all \( x \in \mathbb{R} \)
2. \( f(1) = g(2) = 1 \)
We need to determine which of the statements (A),... |
[
{
"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 | 372 | CodeElo | {
"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 number of non-overlapping beautiful segments in an array. A beautiful segment is one where the sum from a[l] to a[r] is zero. And the segments can't overlap. Hmm. Let's think about how to approach this.
First, let's understand what a beautiful... |
[
{
"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 | 378 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where for a given n, I have to construct a permutation of 1 to n such that after performing these operations, the value of k is maximized. The operations alternate between AND and OR, starting with AND for the first step.
Hmm. Let's start by understanding the 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 the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 290 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the highest possible floor reachable from a starting floor S, using an elevator that can move to multiples of the current floor, with the difference not exceeding D. Let's think about how to approach this.
First, let's understand the problem. The elevator... |
[
{
"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 of size n, and a 0-indexed integer array pattern of size m consisting of integers -1, 0, and 1.\nA subarray nums[i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 173 | 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 subarrays in nums that match a given pattern. Let's see. The problem says that a subarray of size m+1 (since the pattern is size m) matches if each element in the pattern corresponds to the relationship between consecutive elements in the su... |
[
{
"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 | 385 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to determine if a melody is perfect. The definition of a perfect melody is that each adjacent pair of notes has an interval of either 5 or 7 semitones. So for each consecutive pair in the melody, the absolute difference must be 5 or 7.
First, let's think about th... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: 1-bromobenzene-2-d is treated with NaNH2 in condensed ammonia solvent. How many possible organic products are there in this reaction?\nOptions: A) 2, B) 1, C) 4, D) 3\nA... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 140 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | \boxed{A}
Step-by-step explanation:
1. The reactant is 1-bromobenzene-2-d. The "d" likely refers to deuterium labeling on the hydrogen in position 2 of the benzene ring. However, the exact structure might be 1-bromophenyl with a deuterium substituent on the 2-phenyl hydrogen. But for the reaction, the position of subs... |
[
{
"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 | 269 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. So the problem is to find the minimum x that the richest person needs to add to their wealth so that more than half the population is unhappy. And if it's impossible, output -1. Hmm.
First, let me understand the conditions. A person is unhappy if their wealth is strictly less than half of the ... |
[
{
"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: In a bimolecular reaction, the steric factor $P$ was experimentally de... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 105 | JEEBench | {
"expected_answer": "AB",
"problem_id": "28",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | $\textbf{Solution Step-by-Step:}$
To solve this problem, we need to understand the relationship between the steric factor \( P \) and the various options provided. Let's break down each option step by step based on the given information that the steric factor \( P \) is experimentally determined to be 4.5.
**Step 1: ... |
[
{
"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.A pair of sequences of length M consisting of positive integers at most N, (S, T) = ((S_1, S_2, \\dots, S_M), (T_1, T_... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 319 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to determine if a pair of sequences (A, B) is a good pair based on some conditions. Let me try to understand the problem first.
So, the problem says that (A, B) is a good pair if there exists a sequence X of length N (which is given) consisting of 0s and 1s such ... |
[
{
"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 $a^{2}+b^{2} \\neq 0$. Suppose $S=\\le... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 64 | JEEBench | {
"expected_answer": "ACD",
"problem_id": "47",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | To solve this problem, we need to determine the geometric locus of the point \( z = x + iy \) where \( z \in S \) and \( S \) is defined as the set of complex numbers \( z = \frac{1}{a + i b t} \) for \( t \in \mathbb{R} \) and \( t \neq 0 \). The parameters \( a \) and \( b \) are real numbers with \( a^2 + b^2 \neq 0... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 343 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where Alice has to cut a cake into m+1 pieces such that each of the m creatures gets a piece with at least v tastiness, and Alice wants the maximum possible tastiness for her own piece. If it's not possible, output -1.
Hmm. So the approach here probably involves tw... |
[
{
"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 | 16 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the loneliness of an array. The loneliness is the smallest k such that every k consecutive elements have the same bitwise OR. Hmm. Let's think about how to approach this.
First, the problem says that for each possible k (starting from 1 up to n), we check... |
[
{
"content": "Problem: Let $N$ be the greatest four-digit positive integer with the property that whenever one of its digits is changed to $1$ , the resulting number is divisible by $7$ . Let $Q$ and $R$ be the quotient and remainder, respectively, when $N$ is divided by $1000$ . Find $Q+R$ .\nMark ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 3,
"temperature": 0.7
} | 3 | 6 | AIME24 | {
"expected_answer": "699",
"problem_id": "aime24-6",
"reference_solution": "We note that by changing a digit to $1$ for the number $\\overline{abcd}$ , we are subtracting the number by either $1000(a-1)$ , $100(b-1)$ , $10(c-1)$ , or $d-1$ . Thus, $1000a + 100b + 10c + d \\equiv 1000(a-1) \\equiv 100(b-1... | To solve this problem, we need to find the greatest four-digit number \( N \) such that changing any one of its digits to 1 results in a number divisible by 7. Then, we need to compute \( Q + R \) where \( Q \) and \( R \) are the quotient and remainder when \( N \) is divided by 1000.
### Approach
1. **Understand the... |
[
{
"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: Monetary tools of the Federal Reserve do not include which of the following choices?\nOptions: A. Changing the reserve ratio, B. Changing the discoun... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 191 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | \boxed{F} |
[
{
"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: Atom $\\mathrm{X}$ occupies the fcc lattice sites as well as alternate te... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 447 | JEEBench | {
"expected_answer": "B",
"problem_id": "51",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | $\textbf{Solution}$
To determine the packing efficiency of the resultant solid formed by atom X occupying fcc lattice sites and alternate tetrahedral voids, we need to analyze the structure and calculate the volume occupied by the atoms relative to the total volume of the lattice.
**Step 1: Understanding the FCC Latt... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given three strings a, b, and c, your task is to find a string that has the minimum length and contains all three strings as substrings.\nIf there are multiple... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 60 | 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 shortest possible string that contains three given substrings a, b, and c. And if there are multiple options of the same length, pick the lexicographically smallest one. Hmm. Let's think about how to approach this.
First, I remember that for combining... |
[
{
"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 | 107 | CodeElo | {
"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 number of pairs of vertices that are reachable after removing exactly one edge from a connected undirected graph. Let's think through this step by step.
First, the problem says that after removing one edge, we need to minimize the number of pa... |
[
{
"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: For $x \\in \\mathbb{R}$, let $\\tan ^{-1}(x) \\in\\left(-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right)$. Then what... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 492 | JEEBench | {
"expected_answer": "0",
"problem_id": "8",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | To find the minimum value of the function \( f(x) = \int_{0}^{x \tan^{-1} x} \frac{e^{(t - \cos t)}}{1 + t^{2023}} \, dt \), we need to analyze the behavior of the integrand and the limits of integration with respect to \( x \).
First, let's understand the limits of integration. The upper limit is \( x \tan^{-1} x \).... |
[
{
"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: Which of the following styles of fuzzer is more likely to explore paths covering every line of code in the following program?\nOptions: A. Syntax-bas... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 499 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine which fuzzer is more likely to explore paths covering every line of code, we need to analyze each option's approach.
A. Syntax-based: Focuses on generating valid syntax but not necessarily logic coverage. Might not explore all paths.
B. Mutation-based: Starts with a valid input and mutates it. Could cove... |
[
{
"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.For a positive integer X, the Dragon String of level X is a string of length (X+3) formed by one L, X occurrences of o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 360 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to generate a Python function that takes an input N and prints the Dragon String of level N. Let's see. The Dragon String is constructed with specific counts of each character: one L, X occurrences of o, one n, and one g. Wait, wait, the problem says for a positive integer X, the Dragon String of l... |
[
{
"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 $l_{1}, l_{2}, \\ldots, l_{100}$ be consecutive terms of a... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 381 | JEEBench | {
"expected_answer": "18900",
"problem_id": "6",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve this problem, we need to determine the value of \( A_{100} - A_{90} \) given the conditions of the arithmetic progressions for the lengths and widths of the rectangles, and the difference in their areas between the 51st and 50th rectangles.
First, let's define the arithmetic progressions for the lengths and w... |
[
{
"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: What is wrong with the following statement? \"In many desert plants the roots grow very deep because they are searching out for deep underground wate... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 240 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | \boxed{F}
The statement is oversimplified and teleological, implying goal-directed behavior in plants which is not possible. The True reason for desert plants having long roots is natural selection. (Option F)
Explanation: The original statement suggests that roots grow deep to "search" for water, attributing intent... |
[
{
"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 | 223 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where for each test case, I have to compute the sum of f(0) to f(m), where f(i) is the maximum possible x after some operations starting with x=i. The operations involve choosing a sequence that hasn't been chosen yet and setting x to the mex of x and the elements o... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: There has been an outbreak of an viral infectious disease in your city. You have been asked to design a molecular diagnostic kit for quick detection of this retrovirus. ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 156 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine the best approach for designing a molecular diagnostic kit to detect a retrovirus, let's analyze each option step by step.
Option A: Identifying IgG antibodies via ELISA. ELISA is good for antibody detection, but since the virus is a retrovirus, which may have specific antigens, this could work. However, ... |
[
{
"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: Two identical non-conducting solid spheres of same mass and charge are... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 280 | JEEBench | {
"expected_answer": "AC",
"problem_id": "11",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | To solve this problem, we need to analyze the forces acting on the spheres both in air and in the dielectric liquid, considering the angle between the strings remains the same. Let's proceed step by step.
### Step 1: Understanding the Equilibrium Condition in Air
In air, the two identical spheres are in equilibrium. T... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A vector field f(r) falls off radially as 1/r^2 from the origin, i.e. the magnitude of the field is f(r) = 1/r^2. The field has non-zero component only along the radial... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 135 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to evaluate the volume integral of the divergence of the vector field f(r) inside a sphere of radius R. The field is radial and falls off as 1/r². So first, I remember that for a radial vector field in spherical coordinates, the divergence can be written in terms of the radial component.... |
[
{
"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 | 322 | 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 compute binomial coefficients using a wrong formula. The problem statement says that the correct formula is C(n, k) = C(n-1, k) + C(n-1, k-1), but here they used C(n)[k] = C(n)[k-1] + C(n-1)[k-1]. Oh right, so the formula is wrong. So the actual valu... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: In an industrial research lab, a scientist performs ethylene polymerization with a homogeneous organometallic catalyst system, generating a polymer of high density. He i... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 164 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | \boxed{B} |
[
{
"content": "Problem: Let $A$ , $B$ , $C$ , and $D$ be points on the hyperbola $\\frac{x^2}{20}- \\frac{y^2}{24} = 1$ such that $ABCD$ is a rhombus whose diagonals intersect at the origin. Find the greatest real number that is less than $BD^2$ for all such rhombi.\nMark your solution with \\boxed\nA... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 23 | AIME24 | {
"expected_answer": "480",
"problem_id": "aime24-23",
"reference_solution": "A quadrilateral is a rhombus if and only if its two diagonals bisect each other and are perpendicular to each other. The first condition is automatically satisfied because of the hyperbola's symmetry about the origin. To satisfy the sec... | To solve the problem, we need to find the greatest real number less than \( BD^2 \) for all possible rhombi \( ABCD \) inscribed in the hyperbola \( \frac{x^2}{20} - \frac{y^2}{24} = 1 \) with their diagonals intersecting at the origin.
### Step-by-Step Solution:
1. **Understanding the Hyperbola and Rhombus:**
- T... |
[
{
"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 | 81 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this osu!mania problem. Hmm. So the problem is about processing each row of a beatmap in reverse order (since the bottommost row is processed first). For each test case, the input gives n rows, each with 4 characters. Each row has exactly one '#', which represents the note. For ... |
[
{
"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 | 367 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where we have a cyclic array and we can perform certain operations to make all elements equal. Let's see the problem again.
So the operation is: choose an index i, then a_{i-1} increases by 1, a_i increases by 2, and a_{i+1} increases by 1. And since the array is cyclic, 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 a 0-indexed integer array nums, and an integer k.\nIn one operation, you can remove one occurrence of the smallest element of nums.\nReturn the m... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 188 | 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 number of operations to make all elements in the array >= k. The operation allowed is removing one occurrence of the smallest element each time. Let me think about how to approach this.
So, the goal is to compute how many times we need to remo... |
[
{
"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.For positive integers x and y, define f(x, y) as the remainder of (x + y) divided by 10^8.\nYou are given a sequence o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 442 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to compute the sum of f(A_i, A_j) for all pairs i<j. The function f(x,y) is (x+y) mod 1e8. But wait, the note says not to compute the remainder of the sum divided by 1e8. Wait, no, the problem says that f(x,y) is the remainder of (x+y) divided by 1e8. So each pair... |
[
{
"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. Find the character that appears most frequently in S... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 370 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to write a Python function that takes a string S as input and outputs the most frequent character. If there's a tie, pick the one that comes first alphabetically. Let's see.
First, the problem says to find the character with the highest count. If multiple, choose the earliest in alphabetical order... |
[
{
"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 $X$ be a set with exactly 5 elements and $Y$ be a set with... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 174 | JEEBench | {
"expected_answer": "119",
"problem_id": "45",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | To solve this problem, we need to determine the values of \(\alpha\) and \(\beta\), where \(\alpha\) is the number of one-one functions from set \(X\) to set \(Y\) and \(\beta\) is the number of onto functions from \(Y\) to \(X\). Then, we will compute \(\frac{1}{5!}(\beta - \alpha)\).
### Step 1: Determine \(\alpha\)... |
[
{
"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: In an experiment for determination of the focal length of a thin convex lens, the distance of the object from ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 471 | JEEBench | {
"expected_answer": "1",
"problem_id": "27",
"reference_solution": null,
"subject": "phy",
"type": "Integer"
} | To solve this problem, we need to determine the error in the focal length of a thin convex lens given the object distance and image distance with their respective uncertainties. The steps to solve this problem involve using the lens formula, propagating uncertainties, and calculating the percentage error.
### Step 1: ... |
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