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 147k |
|---|---|---|---|---|---|---|
[
{
"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, let's try to figure out this problem. So the task is to find the minimum x that the richest person needs to add to their wealth so that more than half of the population is unhappy. If it's impossible, we return -1.
Hmm, first, let's understand what makes a person unhappy. A person is unhappy if their wea... |
[
{
"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, let's see. I need to solve this problem where given a string S with 0,1,? and an integer N, I have to find the maximum value in the set T (replacing ? with 0 or 1) that's ≤ N. If none exists, output -1.
Hmm. So first, the problem is to generate all possible binary numbers from S, replace each ? with 0 or... |
[
{
"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 vertex in a tree, I have to determine if there exists a non-trivial path (meaning not the entire tree) such that the majority of the vertices in the path is the value of that vertex. The majority here requires more than floor(k/2) occurrences, where k is the num... |
[
{
"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's see. So the problem is about a series of reactions leading to product 3, and we need to determine the number of carbon atoms in that product. Let's break down each step carefully.
First, the starting material is trans-cinnamaldehyde. Let's recall its structure. Trans-cinnamaldehyde has a structure with a benzene... |
[
{
"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 this problem. So the task is to compute the strength of an array that's built by concatenating the first i pairs given. Each pair is a count a_i and a value b_i, so the sequence starts with a_1 copies of b_1, then a_2 copies of b_2, etc. The strength is the number of seconds it tak... |
[
{
"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 I have to compute the next day given a certain calendar system. Let's read the problem carefully.
The calendar has M months per year, each month has D days. So, each month has D days, and months are numbered from 1 to M. The input is y (year), m (month), d (day), and I ... |
[
{
"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 pairing of attitudes toward premarital and extramarital sex over several decades. The problem states that over the past several decades, attitudes toward premarital sex have changed in one way and attitudes toward extramarital sex have changed in another way. Our ... |
[
{
"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 we have to calculate the expected total strength of soldiers in a passageway with possible fog. Let me read the problem carefully.
The passageway is a 2xN grid. Each cell (r,c) has a soldier with power P_r,c. Each column has a 50% chance of being fogged. If fogged, the ... |
[
{
"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 \( z \) is a complex number and \( \overline{z} \) is its conjugate, we will use polar coordinates. Let's represent \( z \) in polar form as \( z = re^{i\theta} \), where \( r \) is the modulus and \( \theta \) is the argument. The conjugate \( \overline{z} \) is \(... |
[
{
"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
} | C |
[
{
"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)"
} | To solve this problem, we need to analyze the properties of highly excited states (Rydberg states) for hydrogen-like atoms. These states are characterized by a large principal quantum number \( n \gg 1 \). Let's examine each statement one by one to determine which are true.
### Step 1: Bohr Model Overview
The Bohr mod... |
[
{
"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)"
} | Okay, let's tackle this problem step by step. The problem is about understanding the steric factor \( P \) in a bimolecular reaction and how it affects the activation energy and the frequency factor.
First, let's recall what the steric factor \( P \) represents. In collision theory, the frequency factor \( A \) is th... |
[
{
"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
} | Let's solve the problem step by step. We are given two equations involving 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:
\[
(y - x)^2 = 4y^2
\]
Expanding the left side:
\[
y^2 - 2xy + x^2 = 4y^2
... |
[
{
"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, so I need to solve this problem where I have to find the minimum number of deletions required to make a string k-special. Let me think through the problem step by step.
The problem says that a string is k-special if for all indices i and j, the absolute difference between their frequencies is <=k. So, th... |
[
{
"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
} | 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 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
} | Okay, I need to solve this problem called "Cards Partition". Let me read the problem carefully.
So the problem is: We have some cards with numbers from 1 to n. For each i, there are a_i cards with number i. Then, we can buy up to k more cards, each of which can be any number from 1 to n. After buying, we need to parti... |
[
{
"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 generate k distinct points with a given center. Let's think about how to approach this.
The problem says that the center is the average of all the points. So, the sum of all the points' x-coordinates divided by k gives x_c, and similarly for y. So, the sum of ... |
[
{
"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
} | Let's denote the two consecutive even integers. Let the smaller one be \( x \). Then the next consecutive even integer is \( x + 2 \).
According to the problem, their product is 288. So, we can set up the equation:
\[ x \cdot (x + 2) = 288 \]
Expanding this, we get:
\[ x^2 + 2x = 288 \]
To form a standard quadrati... |
[
{
"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 these operations. The allowed operations are selecting two distinct elements, inserting their remainder into the end, and deleting those two. Hmm.
So, the goal is to minimize the number of elements as much as possible. Le... |
[
{
"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
} | A) There is no green signal.
Wait, but the problem says that the iPSCs are labeled with mRaspberry, which is a red fluorescent protein. The TUNEL-FITC staining is green. So when you look under the confocal microscope, you would expect the red and green signals to be separate if there's no co-localization. But the que... |
[
{
"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 try to figure out this problem. So, the task is to determine the minimum number of initial plans needed so that all cities are informed by messengers. Each plan can be given to a messenger, and messengers can pass the plan to others as they move through the roads. The key is that a messenger can mak... |
[
{
"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 of a given string S that are all the same character. The key here is that two substrings that are the same as strings are considered the same regardless of their positions, so we need to count each unique substring once, ... |
[
{
"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
} | Okay, let's try to figure this problem out. So, the question is about Enamine reactions, which involve nucleophilic substitutions, electrophilic additions, and condensations. The specific reaction here is the condensation of a secondary amine with a carbonyl compound to form an enamine. The product B is either pentan-2... |
[
{
"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 tackle this problem. Hmm, the problem says we have to find the maximum possible sum of an array after performing certain operations any number of times. The operations allow us to take two distinct elements, i and j (with i < j), where b_i is even. Then we divide b_i by 2 and multiply b_j by 2. Wait... |
[
{
"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 lying on the graph of \( y = \log_2 x \), given that their midpoint is \((6, 2)\). The final answer should be in the form \( m \sqrt{n} \) where \( m \) and \( n \) are relatively prime positive integers, and... |
[
{
"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"
} | Okay, I need to solve this problem where I have to calculate the number of valid words and then find the ratio y/(9x). Let's break it down step by step.
First, let's understand the problem. We're forming words of length 10 using the letters A-J (so 10 letters in total). Each word must be such that no letter is repeate... |
[
{
"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, let's see. I need to solve this problem where I have to generate a ranking of players based on their tournament results. The input is N strings, each of length N. For each player i, the j-th character in S_i tells us if i beat j. But if i == j, it's a '-', which we can ignore. So the first thing I need to... |
[
{
"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 programming problem. Let's read the problem carefully.
So, the problem is about marbles moving positions based on some steps. After all steps are done, we need to return the sorted list of positions that are occupied by at least one marble.
Hmm. Let's understand the input. The initi... |
[
{
"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, let's see. I need to find the largest possible perimeter of a polygon that can be formed from the given array of numbers. If it's not possible to form a polygon with at least 3 sides, return -1.
Hmm, the key here is understanding the polygon condition. The polygon must have at least 3 sides, and the long... |
[
{
"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 two lines with slopes \(2\) and \(\frac{1}{3}\), we can use the formula for the tangent of the angle between two lines. The formula for the tangent of the angle \(\theta\) between two lines with slopes \(m_1\) and \(m_2\) is given by:
\[
\tan \theta = \left| \fra... |
[
{
"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, let's see. I need to generate a Python function that solves this problem. The function should take stdin input and process it according to the problem statement, then output the correct answers for each player. Hmm.
So the problem is, for each player i, we need to determine the minimum number of problems... |
[
{
"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 geometric conditions involving lines and loci. Let's proceed step by step.
### Step 1: Understanding the Problem
We are given two lines \(L_1\) and \(L_2\):
\[ L_1: x\sqrt{2} + y - 1 = 0 \]
\[ L_2: x\sqrt{2} - y + 1 = 0 \]
The locus \(C\... |
[
{
"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... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 169 | JEEBench | {
"expected_answer": "-11.62",
"problem_id": "32",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | ### Solution
The problem involves calculating the entropy change (ΔS°) for a cell reaction based on given thermodynamic parameters. Let's break down the solution step by step.
First, let's write down the given information and what we need to find. The problem states that the emf (cell potential) is zero, and the entha... |
[
{
"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}_{... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 102 | JEEBench | {
"expected_answer": "C",
"problem_id": "23",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | <think>
Okay, let's see. I need to determine the order of oxidation states of phosphorus in these different acids. Hmm. So the problem gives four compounds: H3PO2, H3PO4, H3PO3, and H4P2O6. I have to arrange them in the correct order based on the oxidation state of phosphorus, from highest to lowest or vice versa. Wait... |
[
{
"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"
} | Okay, let's tackle this problem step by step. The goal is to find the radius of the nuclei for nitrogen-15 (N) and oxygen-15 (O), given that their radii are the same and the difference in their binding energies is due to electrostatic energy.
First, let's understand the given formula for the electrostatic energy. 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: 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"
} | Okay, let's tackle this problem step by step. The goal is to find the molarity of a urea solution given certain information. Hmm, molarity is moles of solute per liter of solution, right? So the key steps here are calculating the moles of urea and the volume of the solution. Once I have those two, dividing moles by vol... |
[
{
"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,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 366 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Let's think about this problem. The customer took Clinitest instead of Clinoril due to the pharmacist's misreading. She got hurt. Now, she's suing the pharmacist for strict liability. We need to find the best defense the pharmacist can use.
First, let's understand the key elements here. Strict liability in tort means ... |
[
{
"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 | 70 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I have this problem where I need to find the minimal cost path from (1,1) to (n,n) in an n x n grid. The cost of each cell (i,j) is the gcd of i and a plus the gcd of j and b. And the minimal total cost of the path is what I need to compute. Hmm, let's think about how to approach this.
First, the move... |
[
{
"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... | <think>
Okay, I need to find the greatest four-digit number N such that if any digit in N is changed to 1, the resulting number is divisible by 7. Then, divide N by 1000, get the quotient Q and remainder R, and find Q + R. Hmm, let's think step by step.
First, N is a four-digit number, so it's between 1000 and 9999. 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.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, let's see. The problem is to determine if three given polyominoes can be placed on a 4x4 grid such that all squares are covered, they don't overlap, and they're within the grid. Also, each polyomino must be placed by rotating (but not flipping) and translating. Hmm.
First, I need to parse the input. 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 | 188 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where for each impression i in a test case, I have to determine if it's possible for that impression to be unique in the array. The uniqueness here means that there's an assignment of values to each impression such that all the others are different from the value of... |
[
{
"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 \(1 + \alpha + \alpha^2\) for which the given system of linear equations has infinitely many solutions, we need to analyze the conditions under which the system is dependent. The system has infinitely many solutions if the augmented matrix's rank is less than the number of variables, implying ... |
[
{
"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 a binary matrix after possibly flipping some rows using the XORificator. A special column has exactly one 1. The XORificator allows me to invert all elements in a chosen row. So the challenge is to decide which rows... |
[
{
"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, let's try to understand this problem. So, the task is to maximize the total profit over n days by selecting which drinks to sell each day, following certain constraints. The key points are:
Each day, you must sell a contiguous subarray of drinks (so from j to k inclusive for some j and k). Also, for cons... |
[
{
"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 such that the distance between s and t is <= k. Hmm, let's break this down.
First, I need to understand the distance function. The distance between two strings is the sum of the minimal cyclic distances between each... |
[
{
"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, let's try to understand this problem. So, the task is to find the maximum possible length of an array after performing some operations. The operations allow us to append zeros based on certain conditions. Let me read the problem statement again carefully.
The operation is done by choosing an index i wher... |
[
{
"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"
} | ### Solution
Okay, let's tackle this problem step by step. The problem is about radioactive decay, specifically the decay of Uranium-238 ($^{238}\text{U}$) into Lead-206 ($^{206}\text{Pb}$) through the emission of alpha and beta particles. We need to find the number of alpha particles emitted during three half-lives, g... |
[
{
"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, let's see. I need to find the integer x that when added to each element of nums1 makes it equal to nums2. Hmm. So the problem says that after adding x to every element in nums1, the two arrays become the same. So the key here is to find x such that for all elements i, nums1[i] + x = nums2[i].
Wait, righ... |
[
{
"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’s see. The given potential is V(r, θ) = (1/2) k r² + (3/2) k r² cos²(θ). Let me simplify that. Combining the terms, V(r, θ) becomes (1/2 + 3/2) k r² cos²(θ) = 2k r² cos²(θ). Wait, no. Wait, the original expression is 1/2 kr² + 3/2 kr² cos²θ. So adding them gives (1/2 + 3/2) kr² cos²θ = 2 k r² cos²θ. Oh right, that’... |
[
{
"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’s see. We have an atomic nucleus initially at rest with rest-mass energy 300 GeV. So the rest mass M is such that Mc² = 300 GeV. When it splits into two fragments, one is 2 times more massive than the other. But the sum of their rest masses is 99% of M. Let’s denote the rest masses of the two fragments as m1 and m2... |
[
{
"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, let's try to understand this problem. So, the task is to maximize the total profit over n days by selecting which drinks to sell each day with certain constraints. The main constraints are that each day after the first, the selected drinks must form a subarray that includes at least one drink from the pre... |
[
{
"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 given a matrix a, I have to create a matrix b such that all elements in b are different from the corresponding elements in a. And if it's not possible, output -1. Let's think about how to approach this.
First, the problem states that matrix b must contain all integers f... |
[
{
"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 points where three given lines intersect the plane \(x + y + z = 1\), then compute the area of the triangle formed by these points, and finally find the value of \((6\Delta)^2\).
### Step 1: Find Intersection Points
The three lines are:
1. Line 1: \(\vec{r} = \lambda \h... |
[
{
"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. The problem is about calculating the minimum runs Team Aoki needs to score in the bottom of the ninth inning so that their total is strictly greater than Team Takahashi's.
So, the input gives the runs scored by each team in each inning. For Team Takahashi, there are 9 innings (top of 1st to 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 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 find the minimal disturbance after performing any number of swaps where each swap is between positions i and n-i+1. Hmm. So for each possible i, swapping those two positions can help reduce the disturbance. But how do I model this efficiently for large n (up to 1e5)?
The disturbance ... |
[
{
"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, let's try to figure out this problem. So, the problem is about Bessie and Elsie racing on islands. Bessie can only use main bridges, which are the ones connecting consecutive islands. Elsie can use both main and alternative bridges. The race starts with Bessie on island s and Elsie on island 1. They 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 | 163 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have to compute these binomial coefficients according to the wrong formula that akshiM wrote. The correct formula is C(n, k) = 2^k, but the problem says we have to compute the values as if the formula was wrong. Wait, wait. Let me re-read the problem statement.
Ah,... |
[
{
"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 vector \(\mathbf{b}\), we use the formula for the projection of \(\mathbf{a}\) onto \(\mathbf{b}\), which is given by:
\[
\text{proj}_{\mathbf{b}} \mathbf{a} = \frac{\mathbf{a} \cdot \mathbf{b}}{\mathbf{b} \cdot \mathbf{b}} \mathbf{b}
\]
We are given that \(\mathbf... |
[
{
"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, let's try to figure out this problem. So, the problem is about calculating the probability that Takahashi doesn't get disappointed when he sees the numbers in a certain order. The key is to determine all possible permutations of the grid cells and count how many of them don't have any occurrence where two... |
[
{
"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. The operation allowed is setting a_i to a_j, which essentially allows us to make all elements in the array ... |
[
{
"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 number of dice \( n \) such that the product of the numbers rolled can be any of 936 possible values, we need to analyze the possible products and their multiplicities.
First, note that each die can roll a number between 1 and 6. The product of \( n \) dice rolls is the product of \( n \) numbers eac... |
[
{
"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, let's see. I need to find the count of interesting subarrays in the given array. The definition is a bit tricky. So, a subarray is interesting if the number of elements that are congruent to k modulo the given modulo, when taken modulo the same value, equals k.
Hmm. Let me rephrase that. For a subarray ... |
[
{
"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 $9s+18-9s=18=1.6s^{2} + 3.2s$ ... | Okay, let's break down the problem step by step. So Aya walks 9 kilometers. The problem gives two scenarios: when she walks at speed s, and when she walks at s+2. We need to find the time taken when she walks at s+0.5 km/h, including the coffee shop break.
First, let's convert all times into hours since speed is in km... |
[
{
"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 provided conditions to determine which of the statements (A), (B), (C), or (D) are true.
Given:
\[ f^{\prime}(x) = e^{f(x) - g(x)} \cdot g^{\prime}(x) \]
for all \( x \in \mathbb{R} \).
Also, \( f(1) = 1 \) and \( g(2) = 1 \).
Let's... |
[
{
"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": "",
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"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. So the task is to find the maximum number of non-overlapping beautiful segments in an array. A beautiful segment is one where the sum is zero. Hmm, right.
First, I need to understand what's the best way to approach this. The constraints are tight: up to 1e5 elements per test c... |
[
{
"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 find a permutation of numbers from 1 to n that maximizes the final k value after performing a series of operations. The operations alternate between AND and OR, starting with AND for the first operation. The key is to figure out how to arrange the elements of the permutation to maximi... |
[
{
"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, let's see. The problem is about finding the highest floor reachable from S, where each elevator ride can take you to a multiple of the current floor, and the difference (y - x) must be at most D. Hmm.
So, the initial position is S. We need to find the maximum possible y that can be achieved through multi... |
[
{
"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` of 1s, 0s, and -1s. Let's think about how to approach this.
First, the problem says a subarray of length m+1 (since the pattern has m elements) matches the pattern if each element in the patt... |
[
{
"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
} | Okay, let's tackle this problem. So the task is to determine if a given melody is perfect based on the intervals between consecutive notes. The perfect melody must have each adjacent pair with an interval of either 5 or 7 semitones.
First, I need to read the input correctly. The input starts with the number of test c... |
[
{
"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
} | Let me think about this problem. So, the reaction is between 1-bromobenzene-2-d and NaNH2 in condensed ammonia. Hmm. Let's break this down.
First, 1-bromobenzene-2-d. The structure here probably is a benzene ring with a bromine atom at position 1 and two deuterium atoms (D) at positions 2 and 2? Wait, maybe the number... |
[
{
"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": "",
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"subject": null,
"type": null
} | <think>
Okay, let's try to figure out this problem. So the task is to find the minimum x that the richest person needs to add to their wealth so that more than half of the population is unhappy. If it's impossible, we return -1.
First, let's understand what makes a person unhappy. The unhappy condition is when their w... |
[
{
"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)"
} | Okay, let's tackle this problem step by step. The question is about understanding the steric factor \( P \) in a bimolecular reaction and determining which options are correct based on the given value of \( P = 4.5 \).
First, let's recall what the steric factor \( P \) represents. In chemical kinetics, the Arrhenius e... |
[
{
"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 and B) is a "good pair". The definition is a bit tricky, but let's break it down.
So, the problem says that (A, B) is a good pair if there exists a binary sequence X (of 0s and 1s) of length N such that for every i from 1 to... |
[
{
"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)"
} | $\boxed{A}$
Let’s start by analyzing the problem. We are given a set \( S \) which consists of complex numbers \( z \) of the form \( \frac{1}{a + i b t} \) where \( t \) is a real number and \( t \neq 0 \). We need to determine which geometric figure the points \( (x, y) \) corresponding to \( z \) lie on.
First, le... |
[
{
"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": "",
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"subject": null,
"type": null
} | <think>
Okay, let's see. So the problem is that Alice needs to cut the cake into m+1 pieces. Then, m of those pieces are given to the creatures, and one (the last) is kept by Alice. The creatures must each get a piece with at least v tastiness. We need to maximize Alice's part, but only if it's possible for all creatur... |
[
{
"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, let's see. I need to find the loneliness of an array. The problem says the smallest k such that all consecutive k-length subarrays have the same bitwise OR. Hmm. So for each possible k starting from 1 upwards, check if all the sliding windows of size k have the same OR. The smallest such k is the answer.
... |
[
{
"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... | <think>
Okay, I need to find the largest four-digit number N such that if any digit in N is replaced by 1, the resulting number is divisible by 7. Then, divide N by 1000 to get Q and R, and find their sum. Hmm, let's think step by step.
First, let's understand the problem. For N to satisfy the condition, changing any ... |
[
{
"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"
} | Okay, let's tackle this problem step by step. The problem says that atom X occupies the fcc lattice sites as well as alternate tetrahedral voids. We need to find the packing efficiency of this resultant solid. Hmm, right. So first, I need to understand the structure here.
An fcc lattice is a face-centered cubic struct... |
[
{
"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 minimal length string that contains three given substrings. Let's see. The problem says that the output string must have all three inputs as substrings. Also, if there are multiple such strings with the same minimal length, I have to choose the lex sma... |
[
{
"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, so I have this programming problem to solve. Let's read the problem carefully.
The task is: Given a connected undirected graph, remove exactly one edge such that the number of pairs of reachable vertices is minimized. The output is the smallest possible number of pairs after removing one edge.
Hmm. Wait... |
[
{
"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 \( f(x) \) as \( x \) varies over the real numbers.
First, let's consider the properties of the integrand. The integrand is \( \frac{e^{(t - \cos t)}}{1 + t^{... |
[
{
"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": "",
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"subject": null,
"type": null
} | \boxed{E} |
[
{
"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 solve this problem where I have to generate a dragon string based on a given level N. Let's see the problem statement again.
So, the Dragon String of level X is a string of length X+3. The arrangement is one L, X occurrences of o, one n, and one g. So the order is L followed by X o's, then n a... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: 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"
} | ### Solution
Let's start by understanding the problem. We have two arithmetic progressions (APs) for lengths and widths of rectangles. Each rectangle's area is the product of its length and width. We need to find the difference between the area of the 100th rectangle and the 90th rectangle, given that the difference be... |
[
{
"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} |
[
{
"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 try to understand this problem. Hmm, the problem is about turtles and mex operations. Let me read the description carefully.
So, the problem says that for each test case, we have n sequences. Each sequence can't be chosen more than once. The turtle can perform operations where in each operation, th... |
[
{
"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
} | C |
[
{
"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 two identical non-conducting solid spheres both in air and in a dielectric liquid. The key is to determine how the introduction of the liquid affects the electric force between the spheres and the tension in the strings, given that the angle between the... |
[
{
"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 a vector field f(r) inside a sphere of radius R. The field is radial, so in spherical coordinates, it's just along the r direction. The divergence in spherical coordinates for a radial vector field is straightforward. Let me recall the... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 322 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this programming problem. Let's read the problem carefully.
The problem is about calculating binomial coefficients using the wrong formula that akshiM used. The correct formula is C[n][k] = C[n-1][k] + C[n-1][k-1], but the code they wrote uses C[n][k] = C[n][k-1] + C[n-1][k-1]. So we h... |
[
{
"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
} | Let's think about this problem step by step. The question is about forming a polymer with regular branches using only ethylene as the monomer and a dual catalyst system. The scientist wants to add a second catalyst to introduce branches while using ethylene as the only reactant.
First, the key points here are understa... |
[
{
"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 this problem, we need to find the greatest real number that is less than \( BD^2 \) for all rhombuses \( ABCD \) inscribed in the hyperbola \( \frac{x^2}{20} - \frac{y^2}{24} = 1 \) with diagonals intersecting at the origin.
### Approach
1. **Identify Points on Hyperbola**: Let the points \( A, B, C, D \) li... |
[
{
"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 | {
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"problem_id": "",
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"subject": null,
"type": null
} | Okay, let's see. The problem is about processing the rows of a beatmap in reverse order—starting from the bottommost row first and moving up to the topmost. For each row, we need to find the column where the '#' is located and output those columns in the order they are processed.
So the input gives multiple test case... |
[
{
"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 try to understand the problem step by step.
First, the operation allowed is choosing an index i and increasing a_{i-1} by 1, a_i by 2, and a_{i+1} by 1. Since the array is cyc... |
[
{
"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, let's see. I need to find the minimum number of operations to make all elements in the array at least k. The operation allowed is removing one occurrence of the smallest element. Hmm, so each time I remove the smallest element. Wait, but after each removal, the array gets smaller, right? So the approach h... |
[
{
"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, let's see. I need to compute the sum of f(A_i, A_j) for all pairs i < j. The function f is (x + y) mod 1e8. So the problem is to calculate the sum of all these pairwise sums modulo 1e8, but wait, no—the problem says to compute the sum normally, not modulo anything. Wait, no, the problem statement says to ... |
[
{
"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 solve this programming problem. Let's read the problem carefully.
The task is to find the character that appears most frequently in a given string S. If there are multiple characters with the same highest frequency, we choose the one that comes earliest in alphabetical order. The input is a sin... |
[
{
"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"
} | Okay, let's tackle this problem step by step. Hmm. The problem is about functions between two sets, X and Y, with specific counts of elements. Let me read the question again carefully.
So, X has 5 elements, Y has 7 elements. α is the number of one-one functions from X to Y. β is the number of onto functions from Y to ... |
[
{
"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"
} | $\textbf{Problem Analysis}$
Okay, let's see. I need to find the error percentage in the determination of the focal length of a convex lens given the distances and their uncertainties. Hmm. The problem states that the object distance is 10 cm with an uncertainty of 0.1 cm, and the image distance is 20 cm with an uncerta... |
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