context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 513 | task_name stringclasses 12
values | metadata dict | model_outputs stringlengths 481 18.5k |
|---|---|---|---|---|---|---|
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Identify the starting material, A, in the following reaction.\nA + a methyleneruthenium compound + 1-propene ---> 1-(prop-1-en-1-yl)-2-vinylcyclopentane\nOptions: A) 1,2... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 97 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
\nThe problem presents a chemical reaction and asks to identify the starting material, A. The reaction involves a methyleneruthenium compound and 1-propene, resulting in the formation of 1-(prop-1-en-1-yl)-2-vinylcyclopentane.
\nThe key elements in this problem are the reactants, products, and the specific com... |
[
{
"content": "Problem: The 9 members of a baseball team went to an ice-cream parlor after their game. Each player had a singlescoop cone of chocolate, vanilla, or strawberry ice cream. At least one player chose each flavor, and the number of players who chose chocolate was greater than the number of players who... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 2 | AIME25 | {
"expected_answer": "16",
"problem_id": "I-3",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves assigning ice cream flavors to 9 baseball team members, with specific conditions on the distribution of flavors.
# We need to find the number of different assignments of flavors that meet these conditions and then calculate the remainder when this number is divided by 1000.
# The condit... |
[
{
"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 | 352 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves a rooted tree with n vertices, where each vertex i has an edge connecting to vertex p_i with a weight t_i.
# The sum of all edge weights is given as w, and each t_i is a non-negative integer.
# The task is to find the maximum possible value of dist(i, (i mod n) + 1) for each i, after ea... |
[
{
"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}\nFor the design of a new toroidal particle detector for a particle accelerator the central... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 386 | HLESubset | {
"expected_answer": "A",
"problem_id": "6728b69ce3c03cd66bc102fe",
"reference_rationale": "The key parameter of interest is radiation length, $X_0$, this is because the particle detector is interested in minimizing the interaction between the detector material and the particles being measured; radiation length q... | [ASSESS]
# The problem requires selecting the optimum material for the tubes of the integrated cooling system in a particle detector, considering a unique parameter that is not specified in the problem statement.
# The unique parameter is not explicitly mentioned, but given the context of maximizing a parameter and th... |
[
{
"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 $S$ be a log scheme and $G \\to S$ a group object in the category of fs log schemes o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 340 | HLESubset | {
"expected_answer": "D",
"problem_id": "6724ed87a36a8ef783edc2ec",
"reference_rationale": "The correct answer is D, a counterexample is given by the $p$ torsion of a log abelian variety with $p$ invertible on $S$. Concrete examples in the case where the log abelian variety is a log jacobian can be found in Secti... | [ASSESS]
# The problem involves understanding the relationship between log schemes and their underlying schemes, specifically in the context of group objects.
# We need to determine whether the underlying scheme of a group object in the category of fs log schemes over $S$ is itself a group object in the category of sc... |
[
{
"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 | 225 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires maximizing the sum of MEX across all rows and columns in a table with n rows and m columns.
# The MEX of a set of numbers is the smallest non-negative integer that does not appear in the set.
# The input consists of multiple test cases, each with two integers n and m.
# The output shoul... |
[
{
"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": 0,
"temperature": 0.7
} | 0 | 502 | JEEBench | {
"expected_answer": "C",
"problem_id": "21",
"reference_rationale": null,
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | [ASSESS]
# The problem involves understanding the relationship between the number of degrees of freedom of a molecule in an ideal gas, its internal energy, and the speed of sound in the gas.
# We need to determine how the speed of sound and internal energy change with the number of degrees of freedom at a fixed temper... |
[
{
"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. A pair of integers x and y is called a strong pair if it satisfies the condition:\n\n|x - y| <= min(x, y)\n\nYou ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 128 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the maximum XOR value among all possible strong pairs in the given array.
# A strong pair is defined as a pair of integers x and y that satisfies the condition |x - y| <= min(x, y).
# The XOR operation is used to calculate the difference between two integers.
# The problem const... |
[
{
"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 $7 \\overbrace{5 \\cdots 5}^{r} 7$ denote the $(r+2)$ digit number where the first and the last digits are... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 459 | JEEBench | {
"expected_answer": "1219",
"problem_id": "10",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | [ASSESS]
# The problem presents a series of numbers where each number starts and ends with 7 and has a varying number of 5s in between, with the number of 5s increasing by one for each subsequent number in the series.
# We are tasked with finding the sum of these numbers, denoted as S, and expressing it in a specific ... |
[
{
"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 $f:(0,1) \\rightarrow \\mathbb{R}$ be the function defined as $f(x... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 490 | JEEBench | {
"expected_answer": "AB",
"problem_id": "6",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | [ASSESS]
# The problem involves analyzing the properties of a given function $f(x)$ defined on the interval $(0,1)$.
# The function $f(x)$ is a product of several factors, including the greatest integer function $[4x]$ and quadratic expressions.
# We need to determine the truth of four statements regarding the continu... |
[
{
"content": "Problem: Let $A$ be the set of positive integer divisors of $2025$. Let $B$ be a randomly selected subset of $A$. The probability that $B$ is a nonempty set with the property that the least common multiple of its element is $2025$ is $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 5,
"temperature": 0.7
} | 5 | 21 | AIME25 | {
"expected_answer": "237",
"problem_id": "II-7",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves finding the probability of a randomly selected subset B of the set A, where A consists of the positive integer divisors of 2025, having a specific property related to the least common multiple (LCM) of its elements.
# The LCM of the elements in B must be 2025, and B must be a nonempty s... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You have an array of floating point numbers averages which is initially empty. You are given an array nums of n integers where n is even.\nYou repeat the follo... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 62 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: We need to write a Python function that takes an array of integers, repeatedly removes the smallest and largest elements, calculates their average, and adds it to a separate array. The function should return the minimum element in the averages array.
# Identify key elements: The inpu... |
[
{
"content": "Problem: If $a\\star b = 9a+2b-ab+5$, what is the value of $5\\star1$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 449 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem introduces a binary operation denoted by $\star$, which combines two variables $a$ and $b$ in a specific way.
# The operation is defined as $a\star b = 9a+2b-ab+5$.
# We are asked to find the value of $5\star1$, which means we need to substitute $a=5$ and $b=1$ into the given expression.
# The o... |
[
{
"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 | 118 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires writing a Python program to solve a coding competition problem. The problem involves finding the maximum possible diameter over all connected graphs that can be formed based on a given permutation and string.
# The input consists of multiple test cases, each containing a permutation and... |
[
{
"content": "Problem: Find the largest $x$-value at which the graphs of $f(x)=e^{3x^2-|\\lfloor x \\rfloor|!}+\\binom{22+735235|\\lfloor x \\rfloor |}{2356}+\\phi(|\\lfloor x \\rfloor|+1)+72x^4+3x^3-6x^2+2x+1$ and $g(x)=e^{3x^2-|\\lfloor x \\rfloor|!}+\\binom{22+735235|\\lfloor x \\rfloor |}{2356}+\\phi(|\\lfl... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 188 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem asks for the largest x-value at which the graphs of two given functions intersect. The functions are complex and involve various mathematical operations such as exponentiation, binomial coefficients, and the floor function.
# The functions f(x) and g(x) have several common terms, including the e... |
[
{
"content": "Problem: The complex numbers $\\alpha_1, \\alpha_2, \\alpha_3$, and $\\alpha_4$ are the four distinct roots of the equation $x^4+2x^3+2=0$. Determine the unordered set \\[\n\\{\\alpha_1\\alpha_2 + \\alpha_3\\alpha_4, \\alpha_1\\alpha_3 + \\alpha_2\\alpha_4, \\alpha_1\\alpha_4 + \\alpha_2\\alpha_3\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 422 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves finding the unordered set of products of roots of a given quartic equation.
# The equation provided is $x^4+2x^3+2=0$.
# We need to determine the values of $\alpha_1\alpha_2 + \alpha_3\alpha_4$, $\alpha_1\alpha_3 + \alpha_2\alpha_4$, and $\alpha_1\alpha_4 + \alpha_2\alpha_3$.
# The prob... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: The Pinacol-Pinacolone rearrangement is a chemical reaction involving the conversion of a pinacol molecule, containing two adjacent alcohol groups, into a pinacolone und... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 142 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
\nThe problem presents a Pinacol-Pinacolone rearrangement reaction and asks for the starting materials and products. The reaction involves the protonation of one alcohol group, followed by a 1,2-hydride shift, leading to the formation of a ketone and the rearrangement of the molecule's structure.
\nWe need to ... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 439 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves a coding challenge where we need to write a Python program to solve it.
# The problem description explains the scenario and the input/output formats.
# We need to find the string 'b' that Ship observes from inside the store, given the string 'a' that Ship observes from outside the store... |
[
{
"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 denoting the total number of servers and a 2D 0-indexed integer array logs, where logs[i] = [server_id, time] denotes that the serve... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 38 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: We need to generate a Python function that takes in the number of servers (n), a list of logs where each log contains the server ID and time of the request, an integer x, and a list of queries. The function should return a list where each element represents the number of servers that... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Five binary compounds of fluorine with element Y are known. The bright-red substance A1 decomposes at 293 K into A2 (ɷF=31,96%) and fluorine. A1 oxidizes xenon under nor... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 147 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
\nThe problem involves identifying the molecular weight range of substance A4 based on the given information about its relationship with other compounds and elements.
\nKey elements include A1, A2, A3, A4, A5, element Y, xenon, fluorine, and their respective properties and reactions.
\nThe objective is to dete... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.AtCoder cafeteria sells meals consisting of a main dish and a side dish.\r\nThere are N types of main dishes, called m... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 341 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the price of the most expensive set meal offered in the AtCoder cafeteria.
# The input consists of the number of main dishes (N), side dishes (M), and the number of pairs of main and side dishes that do not go well together (L).
# The prices of the main dishes and side dishes ar... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is an integer sequence A=(A_1,A_2,\\ldots,A_N) of length N, where all elements are initially set to 0. Also, the... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 414 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves processing a series of queries on a sequence A and a set S. The sequence A is initially filled with zeros, and the set S is empty.
# The queries are in the format of an integer x_i, which is either inserted into or removed from the set S.
# For each query, we need to update the sequence... |
[
{
"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 | 394 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires constructing a permutation of length n to minimize the sum of the minimum values of all subarrays of length k.
# The input consists of multiple test cases, each containing two integers n and k.
# The output should be a permutation of length n for each test case.
# The problem statement ... |
[
{
"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 $z$ be a complex number with non-zero imaginary part. If\n... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 379 | JEEBench | {
"expected_answer": "0.5",
"problem_id": "4",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | [ASSESS]
# We are given a complex number $z$ with a non-zero imaginary part, and we need to find the value of $|z|^{2}$ if the expression $\frac{2+3 z+4 z^{2}}{2-3 z+4 z^{2}}$ is a real number.
# The expression involves a quadratic polynomial in the numerator and denominator, and we know that the result is a real numb... |
[
{
"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}\n\"Fat people eat accumulates.\"\n\nFor the above sentence, what part of speech does the f... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 458 | HLESubset | {
"expected_answer": "B",
"problem_id": "67381a8ee4ea03183132a559",
"reference_rationale": "The above sentence is known in linguistics as a 'garden path' sentence. Here, to properly parse the sentence, the word 'fat' must be read as a noun, rather than the commonly thought adjective. Thus, the sentence must be re... | [ASSESS]
# The given sentence is "Fat people eat accumulates." We need to identify the part of speech of the first word, "Fat".
# The word "Fat" is describing a characteristic of the people, which suggests it is an adjective.
# Adjectives are used to modify nouns or pronouns, and "Fat" is modifying the noun "people".
... |
[
{
"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}\nSuppose $B_n$ is the braid group on $n$ strands. For $1 \\leqslant n \\in \\mathbb{Z}$, l... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 92 | HLESubset | {
"expected_answer": "E",
"problem_id": "66fbbe8cb6f8564117792b00",
"reference_rationale": "By definition of the Iwahori-Hecke algebra of a Coxeter group, and since $S_n$ is a Coxeter group, we know that $T_i ^2 = zT_i +q$, which, after multiplying both sides by $T_i^{-1}$ gives $T_i = z+qT_i^{-1}$, meaning that ... | [ASSESS]
# We are given a problem involving the computation of the Ocneanu trace $tr_2$ applied to the image of the braid group element $\sigma_1^{-3}$ under the homomorphism $f_2$.
# The problem involves understanding the structure of the braid group, the Iwahori-Hecke algebra, and the properties of the Ocneanu trace.... |
[
{
"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}\nWhen ammonium sulfate aerosol particles dissolve in water, how does this process unexpect... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 210 | HLESubset | {
"expected_answer": "D",
"problem_id": "671bc0c855449c636f4bbd36",
"reference_rationale": "As ammonium sulfate surfaces dissolve, phase transitions at the surface alter charge distribution, which effectively lowers the activation energy required for the sulphate-reducing ammonium oxidation reaction. This catalyt... | [ASSESS]
# The problem involves understanding the process by which ammonium sulfate aerosol particles enable the sulphate-reducing ammonium oxidation reaction when dissolved in water.
# The key elements are the dissolution of ammonium sulfate, the sulphate-reducing ammonium oxidation reaction, and the role of water in... |
[
{
"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}\nIn the Kunoichi no Jutsu section of the Bansenshukai scroll, all known versions contain a... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 101 | HLESubset | {
"expected_answer": "C",
"problem_id": "66fcc286eab6d512704d96af",
"reference_rationale": "The Bansenshuaki was compiled in 1676. Lady Saigō died in 1589 - making this answer the least plausible.",
"reference_solution": null,
"subject": null,
"type": null
} | [ASSESS]
# The problem presents a scenario where the original version of the Bansenshukai scroll is lost, and the blank circles in the Kunoichi no Jutsu section are missing from all existing transcriptions.
# The task is to determine the least plausible explanation for the missing kanji from the given options.
# Each ... |
[
{
"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 of size 3.\nReturn the maximum possible number whose binary representation can be formed by concatenating the binary re... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 196 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: We need to generate a Python function that takes an array of three integers and returns the maximum possible number whose binary representation can be formed by concatenating the binary representation of all elements in the array in some order.
# Identify key elements: The input arr... |
[
{
"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: Concentration of $\\mathrm{H}_{2} \\mathrm{SO}_{4}$ and $\\mathrm{Na}_{2} \\mathrm{SO}_{4}$ in a solution is $... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 438 | JEEBench | {
"expected_answer": "6",
"problem_id": "37",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "Integer"
} | [ASSESS]
# The problem involves finding the molar solubility of $\mathrm{PbSO}_{4}$ in a solution containing $\mathrm{H}_{2} \mathrm{SO}_{4}$ and $\mathrm{Na}_{2} \mathrm{SO}_{4}$.
# The concentration of $\mathrm{H}_{2} \mathrm{SO}_{4}$ is given as $1 \mathrm{M}$, and the concentration of $\mathrm{Na}_{2} \mathrm{SO}_... |
[
{
"content": "Problem: The twelve letters $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$, $I$, $J$, $K$, and $L$ are randomly grouped into six pairs of letters. The two letters in each pair are placed next to each other in alphabetical order to form six two-letter words, and then those six words are listed alphabetical... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 6 | AIME25 | {
"expected_answer": "821",
"problem_id": "I-7",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves randomly pairing twelve letters into six pairs, forming two-letter words, and listing them alphabetically.
# We need to find the probability that the last word listed contains the letter $G$.
# To approach this problem, we should consider the total number of possible pairings and the nu... |
[
{
"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.Takahashi sent a string T consisting of lowercase English letters to Aoki. As a result, Aoki received a string T' cons... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 301 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves determining which strings among S_1, S_2,..., S_N could be equal to the original string T sent by Takahashi.
# We are given the altered string T' and the constraints on the length of T' and the strings S_i.
# The four conditions for T' to be derived from T are: T' is equal to T, T' is 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 a permutation A=(A_1,\\ldots,A_N) of (1,2,\\ldots,N).\r\nTransform A into (1,2,\\ldots,N) by performing the following operation between 0 and N-1... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 429 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires generating a Python function that takes a permutation of (1,2,...,N) as input and outputs the number of operations and the pairs of indices to perform the operations to transform the permutation into (1,2,...,N).
# The input is given in a specific format, with the first line containing ... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 492 | JEEBench | {
"expected_answer": "0",
"problem_id": "8",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | [ASSESS]
# We are given a function $f(x)=\int_{0}^{x \tan ^{-1} x} \frac{e^{(t-\cos t)}}{1+t^{2023}} d t$ and we need to find the minimum value of this function.
# The function involves an integral with a variable upper limit, which is $x \tan ^{-1} x$.
# We also notice that the integrand involves the exponential func... |
[
{
"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}\nWe consider a two-level atom interacting with a single mode of an electromagnetic field i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 256 | HLESubset | {
"expected_answer": "B",
"problem_id": "671fbb0cc6abf8266c1892ca",
"reference_rationale": "using the Fermi's Golden Rule:\nΓ_1f=2π/ℏ |(<f|H^' |i>)|^2 ρ(E)\n|i> =|+,0> \n<f| = <-,1| + <-,0|\nWhere:\nH=ℏω_c a^† a+g(σ_+ a+a^† σ_- )+ℏω_a σ_+ σ_-\nH=H_0+H^'\nWhere H^' is the perturbation Hamiltonian that causes the ... | [ASSESS]
# The problem describes a two-level atom interacting with a single mode of an electromagnetic field inside a cavity. The system is described in a combined Hilbert space of the atom and the cavity field.
# The Hamiltonian for the system includes terms for the cavity mode, the atom, and the interaction between ... |
[
{
"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 circuit, a metal filament lamp is connected in series wit... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 347 | JEEBench | {
"expected_answer": "100.00",
"problem_id": "11",
"reference_rationale": null,
"reference_solution": null,
"subject": "phy",
"type": "Numeric"
} | [ASSESS]
# The problem involves a circuit with a metal filament lamp connected in series with a capacitor across an AC supply.
# We are given the power consumed by the lamp, the voltage drop across it, the supply voltage, and the frequency of the supply.
# We need to find the capacitance of the capacitor, denoted as C... |
[
{
"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 drop of liquid of radius $\\mathrm{R}=10^{-2} \\mathrm{~m}$ having surface tension $\\mathrm{S}=\\frac{0.1}{... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 71 | JEEBench | {
"expected_answer": "6",
"problem_id": "8",
"reference_rationale": null,
"reference_solution": null,
"subject": "phy",
"type": "Integer"
} | [ASSESS]
# The problem involves a drop of liquid dividing into smaller drops, resulting in a change in surface energy. We need to determine the value of K, which is the number of smaller drops, and express it in the form 10^α.
# The given information includes the radius of the original drop (R = 10^(-2) m), the surfa... |
[
{
"content": "Problem: The solutions of the equation $z^4+4z^3i-6z^2-4zi-i=0$ are the vertices of a convex polygon in the complex plane. The area of this polygon can be expressed in the form $p^{a/b},$ where $a,$ $b,$ $p$ are positive integers, $p$ is prime, and $a$ and $b$ are relatively prime. Find $a + b +... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 295 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves finding the area of a convex polygon in the complex plane, with vertices being the solutions to a given equation.
# The equation is $z^4+4z^3i-6z^2-4zi-i=0$, and we need to express the area in the form $p^{a/b}$.
# The problem requires a combination of algebraic manipulation, geometric ... |
[
{
"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 | 355 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the minimum possible variance of an array after performing a certain number of operations.
# The operations involve selecting an interval and increasing each element in the interval by a given value.
# The variance of the array is defined as the average of the squared difference... |
[
{
"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.Takahashi will embark on an adventure.\nDuring the adventure, N events will occur.\r\nThe i-th event (1\\leq i\\leq N)... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 350 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves determining whether Takahashi can defeat all monsters without being defeated during an adventure.
# The adventure consists of N events, each represented by a pair of integers (t_i, x_i), where t_i indicates the type of event (finding a potion or encountering a monster) and x_i represent... |
[
{
"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 | 230 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves finding the minimum cost to move between cities with different colored portals.
# Each city has two colored portals, and the cost to move between cities is the absolute difference in their indices.
# We need to process multiple test cases, each with a different number of cities and quer... |
[
{
"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 pattern of AtCoder's wallpaper can be represented on the xy-plane as follows:\n\n- \nThe plane is divided by the f... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 451 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves calculating the area of black-painted regions inside a rectangle defined by integers A, B, C, D.
# The pattern of AtCoder's wallpaper is divided by three types of lines: x = n, y = n, and x + y = n, where n is an integer, even number, or even number respectively.
# The region containing... |
[
{
"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 | 17 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves maximizing a score by performing operations on an array a and a binary array b.
# The score is defined as the maximum value of a_i + median(c_i) over all i from 1 to n, where c_i denotes the array of length n-1 that gets by deleting a_i from a.
# We need to find the maximum score that 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": 2,
"temperature": 0.7
} | 2 | 1 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves finding the minimum value of a subsequence sum after performing a specific operation on the sequence.
# The operation involves reversing a subsequence of the sequence, and the goal is to minimize the sum of the subsequence within a given range [l, r].
# The problem statement provides 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.There is a graph with N + Q vertices, numbered 1, 2, \\ldots, N + Q. Initially, the graph has no edges.\nFor this grap... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 44 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves a graph with N + Q vertices and Q operations to add edges.
# The goal is to determine if the graph is connected after all operations and find the cost of a minimum spanning tree if it is connected.
# The input consists of N and Q, followed by Q lines of L_i, R_i, and C_i for each operat... |
[
{
"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 | 288 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the minimum number of operations to transform a set of arrays into a desired state.
# The operation involves inserting an element at the beginning of an array, shifting all elements to the right, and removing the last element from the last array.
# The input consists of multiple... |
[
{
"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 form are the following two lines written in?\n\n& all the stars are palaces\nthe wor... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 410 | HLESubset | {
"expected_answer": "B",
"problem_id": "672e6368958c5d0efe9d037d",
"reference_rationale": "The lines adhere to ballad form https://www.poetryfoundation.org/education/glossary/ballad\n\nThe first line can be scanned as follows (the ampersand cannot be capitalised but it represents an 'and' and would be characteri... | [ASSESS]
# The task requires identifying the form of two given lines of poetry.
# The lines are: "& all the stars are palaces" and "the world a hollow road".
# The answer choices include various poetic forms: free verse, ballad, modernist free verse, iambic pentameter, and trimeter.
# To proceed, I need to analyze the ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: There is a spin 1/2 particle with magnetic moment mu (= gamma*Sz), aligned with a magnetic field pointing in the +Z direction. Suddenly, the magnetic field is turned off... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 67 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves a spin 1/2 particle with a magnetic moment aligned with a magnetic field, which is then changed to point in a different direction.
# The initial alignment is with the +Z direction, and the magnetic field is suddenly turned off and another one is turned on along the +Y direction.
# Both f... |
[
{
"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 43-year-old man presents to the dermatology clinic with a rash that affects both axilla... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 447 | HLESubset | {
"expected_answer": "B",
"problem_id": "6736c2e82db9d8cc7cd8e607",
"reference_rationale": "This patient's presentation is suggestive of tinea corporis. Tinea infections are part of the differential diagnosis of allergic contact dermatitis so one of the initial approaches is to scrape the skin for KOH preparation... | [ASSESS]
# The patient presents with a rash on the axillae, which began a week ago, and has progressively worsened. The rash is characterized by severe intense itching, but no pain or burning.
# The patient denies exposure to known sick contacts, recent travels, and has no family history of eczema or asthma.
# The phy... |
[
{
"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 | 94 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the integer x that maximizes the sum of its multiples less than or equal to n.
# The input consists of t test cases, each containing a single integer n.
# The output should be the optimal value of x for each test case.
# The problem constraints are 2 ≤ x ≤ n and 2 ≤ n ≤ 100.
Ne... |
[
{
"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": 0,
"temperature": 0.7
} | 0 | 184 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem statement, which involves generating a key from three given positive integers.
# The key is a four-digit number where each digit is the smallest among the corresponding digits of the three numbers.
# If a number has less than four digits, it is padded with leading zeros.
# The objecti... |
[
{
"content": "Problem: Let \\[f(x)=\\frac{(x-18)(x-72)(x-98)(x-k)}{x}.\\]There exist exactly three positive real values of $k$ such that $f$ has a minimum at exactly two real values of $x$. Find the sum of these three values of $k$.\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 3,
"temperature": 0.7
} | 3 | 29 | AIME25 | {
"expected_answer": "240",
"problem_id": "II-15",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# We are given a function f(x) with a specific form, and we need to find the sum of three positive real values of k such that f has a minimum at exactly two real values of x.
# The function f(x) has four roots: 0, 18, 72, and 98, and one unknown root k.
# To find the minimum values of f(x), we need to analyze... |
[
{
"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}\nWe have a perfectly conducting incompressible liquid ($\\sigma \\to \\infty$) with mass d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 233 | HLESubset | {
"expected_answer": "E",
"problem_id": "671ee933019b32e00d827382",
"reference_rationale": "Reply: Thank you for your careful review, there was a small typo with the answer of $\\xi$. I have updated the step-by-step solution and also modified the answer choice 1.\n\nStep-by-Step Solution:\nStep 1: The gravitatio... | [ASSESS]
# The problem involves a perfectly conducting incompressible liquid with mass density ρ that partially fills the gap between parallel plate electrodes separated by a distance s and stressed by voltage V0.
# The applied voltage lifts the fluid interface between the parallel plate electrodes by a height ξ, wher... |
[
{
"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 | 187 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires determining whether Bessie wins if she starts a race on island s, given the number of islands n and alternative bridges m.
# The race involves Bessie and Elsie moving between islands, with Bessie only able to use main bridges and Elsie able to use both main and alternative bridges.
# 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.There are N seats in a row, numbered 1, 2, \\ldots, N.\nThe state of the seats is given by a string S of length N cons... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 212 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires writing a Python function that takes the number of seats (N) and the state of the seats (S) as input, and prints the number of integers i that satisfy the given condition.
# The condition is that seats i and i + 2 are occupied, and seat i + 1 is unoccupied.
# The input is given in a spe... |
[
{
"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}\nUsing Vogel's algorithm, what is an upper bound for the braid index of the three-twist kn... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 160 | HLESubset | {
"expected_answer": "G",
"problem_id": "670f72aea9f4a4bebca02b4a",
"reference_rationale": "Using Vogel's algorithm, we can transform the three-twist knot into an equivalent knot consisting of only nested coherent Seifert circles. For simplicity, we denote each crossing between Seifert circles by a single straigh... | [ASSESS]
\nThe problem asks for an upper bound for the braid index of the three-twist knot using Vogel's algorithm. To approach this, I need to understand the basics of braid theory and Vogel's algorithm. The braid index is the smallest number of strands required to represent a knot as a braid. Vogel's algorithm is a m... |
[
{
"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 an n-bit floating-point number represented in exponential form as\n\n (-1)^s ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 307 | HLESubset | {
"expected_answer": "C",
"problem_id": "6723ac21af0a31f10468be05",
"reference_rationale": "m + B\n\nThis solution is somewhat unexpected because the binary representation of the float only relies on the m mantissa bits and the e exponent bits to be set. Naively a problem solver might think they can generate rand... | [ASSESS]
# The problem asks for the fewest random bits required to generate a uniform random n-bit floating-point number with specific characteristics.
# The representation of the floating-point number is given as (-1)^s × 2^{E - B} × (1 + M), where s, M, E, and B have specific roles.
# The question focuses on generat... |
[
{
"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: Choose the correct option(s) from the following\n(A) Natural rubber is... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 226 | JEEBench | {
"expected_answer": "BC",
"problem_id": "26",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | [ASSESS]
# The problem presents four options related to polymers and their structures, and we need to evaluate each option to determine its correctness.
# Option (A) mentions natural rubber as polyisoprene containing trans alkene units, which is a known fact about natural rubber.
# Option (B) states that Nylon-6 has 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 grid with H rows and W columns. Initially, all cells are painted with color 0.\nYou will perform the follow... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 409 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves a grid with H rows and W columns, initially all painted with color 0.
# We need to perform M operations, where each operation is either repainting a row or a column with a specific color.
# After all operations, we need to find the number of cells painted with each color and print the r... |
[
{
"content": "Problem: In how many ways can 6 girls and 2 boys sit in a row if the 2 boys insist on sitting next to each other?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 198 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Identify the key elements: 6 girls and 2 boys, and the constraint that the 2 boys must sit next to each other.
# Recognize that the boys can be treated as a single unit when they sit together, reducing the number of "units" to arrange from 8 to 7.
# Note that within the unit of 2 boys, they can be arranged ... |
[
{
"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": 0,
"temperature": 0.7
} | 0 | 337 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires generating a Python function that takes input from stdin and prints the output.
# The function should calculate the day following a given year, month, and day in the AtCoder Kingdom calendar.
# The input format is M D, y m d, where M is the number of months, D is the number of days in a... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Imagine an uncharged spherical conductor of radius $R$ having a small spherical cavity inside. The centre of the cavity is separated by a distance $s$ from the centre of... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 191 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves an uncharged spherical conductor with a small spherical cavity inside, and a small amount of positive charge +q placed inside the cavity.
# We need to find the magnitude of the electric field E at a point P outside the spherical conductor, at a distance L from the center of the spherica... |
[
{
"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 | 131 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires writing a Python program to solve a coding competition problem.
# The problem involves finding the maximum possible value of mex_k of an array after any number of operations.
# The input consists of the number of test cases, the number of elements in the array, the value k for mex_k, an... |
[
{
"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 | 291 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves finding the smallest number of light bulbs (n) such that after performing a series of operations, exactly k bulbs are on.
# The operations involve flipping the state of bulbs that are divisible by the current number (i) for i = 1 to n.
# The goal is to determine the minimum value of n t... |
[
{
"content": "Problem: Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center of the disk. He draws 25 more line segments through the disk, drawing each segment by selecting two points at random on the perimeter of the disk in different quadrants and connecting those... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 5,
"temperature": 0.7
} | 5 | 12 | AIME25 | {
"expected_answer": "204",
"problem_id": "I-13",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves dividing a disk into regions using line segments drawn between random points on the perimeter of the disk in different quadrants.
# There are 27 line segments in total, with the first 25 drawn randomly and the last 2 drawn as diameters.
# The objective is to find the expected number of ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.There is a snake in an n x n matrix grid and can move in four possible directions. Each cell in the grid is identified by the position: grid[i][j] = (i * n) + ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 84 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: We need to generate a Python function that simulates a snake's movement in an n x n grid based on a sequence of commands.
# Identify key elements: The grid size (n), the sequence of commands, and the snake's starting position (cell 0).
# Identify constraints: The snake will remain wi... |
[
{
"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 | 323 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves determining the maximum number of cards Monocarp can take from a deck during a game, given certain rules and constraints.
# The rules state that Monocarp can take any card from the deck on the first turn, and on subsequent turns, he can take a card with the same number as the previous c... |
[
{
"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 scientific basis of the commonly used praxis in the industrial design of shee... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 434 | HLESubset | {
"expected_answer": "F",
"problem_id": "6734d0fd45aa0757a21c4ddc",
"reference_rationale": "The scientific basis of this praxis is to provide optimal or minimally acceptable trimming conditions. Apart from the provide option-F none of the other answers have any effect on that condition, but those focus rather on ... | [ASSESS]
# The question asks about the scientific basis of adding negative and positive bypass notches along the contour of certain sheet metal parts in the industrial design of sheet metal forming stamping dies.
# The options provided relate to various aspects of sheet metal forming, including stress management, mater... |
[
{
"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 $\\kappa$ be an infinite cardinal and suppose there exists a $\\kappa^+$-Kurepa tree.... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 491 | HLESubset | {
"expected_answer": "D",
"problem_id": "674365a2b5d4e34a242899c5",
"reference_rationale": "We build a system of functions $\\langle f_{\\beta} : \\beta \\in \\kappa^{++} \\rangle$ based on the assumptions of the problem, together forming $f$, showing that such an $f$ always exists under these assumptions. First,... | [ASSESS]
# The problem involves a complex set-theoretic concept, specifically a Kurepa tree and a function defined on subsets of $\kappa^{++}$.
# We are asked to determine whether a certain function $f$ exists, with specific properties, given the existence of a $\kappa^+$-Kurepa tree.
# The problem involves understand... |
[
{
"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 | 316 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires maximizing the difference in the number of problems solved by Monocarp and Stereocarp.
# We are given the number of days left until the Olympiad (n) and the number of problems each can solve on each day (a_i and b_i).
# We need to determine the optimal training schedule for Monocarp 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.KEYENCE has a culture of addressing everyone with the suffix \"-san,\" regardless of roles, age, or positions.\nYou ar... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 207 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires creating a Python function that takes a string input from stdin, checks if the string ends with "san", and prints "Yes" if it does, otherwise prints "No".
# The input string S consists of lowercase English letters and has a length between 4 and 30, inclusive.
# The function should be ex... |
[
{
"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 | 58 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves determining the minimum number of colors required to assign to warrior segments such that every real time contained in at least one segment has a color that belongs to exactly one segment containing that time.
# The input consists of multiple test cases, each with a number of warrior se... |
[
{
"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 non-negative integers A=(A_1,\\ldots,A_N) of length N. Find the number of pairs of integer... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 393 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the number of pairs of integers (i, j) in a given sequence A=(A_1,...,A_N) that satisfy two conditions: 1 <= i < j <= N and A_i * A_j is a square number.
# The input consists of a sequence of non-negative integers A=(A_1,...,A_N) of length N, where 2 <= N <= 2*10^5 and 0 <= A_i ... |
[
{
"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}\nWhich of the following accurately describes the relationship between the retinoic acid re... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 312 | HLESubset | {
"expected_answer": "D",
"problem_id": "672403a54850f72c4c930d47",
"reference_rationale": "The correct answer is based on the observation that all mutants which are defective in RA binding are also defective in both DNA binding and transcriptional activation. This suggests that RA binding induces a conformationa... | [ASSESS]
\nThe question requires an understanding of the relationship between retinoic acid receptor (RAR) mutants and their ability to bind DNA, as well as the implications for transcriptional activation. The correct answer should accurately describe how the mutations affect DNA binding and transcriptional activation.... |
[
{
"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 | 248 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the smallest integer with a length of n digits, consisting only of 3s and 6s, that is divisible by both 33 and 66.
# The input is a positive integer n, and the output should be the smallest required integer if it exists, or -1 otherwise.
# The problem statement provides examples... |
[
{
"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}\nThe geometrical integrity of aeroengine turbine blades degrades during their service life... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 291 | HLESubset | {
"expected_answer": "B",
"problem_id": "6722728827542064f9b14815",
"reference_rationale": "The aerofoil shape of a compressor blade means very modest heat input must be used in the root pass on the narrow edge of a compressor blade to avoid defects such as blow-out or elsewise further damaging the blade shape. T... | [ASSESS]
# The problem requires determining the optimal current and voltage for manual TIG welding of a Rolls-Royce Trent 1000 compressor blade tip during the repair process.
# The given information includes the dimensions of the turbine blade (3.5 cm in width and 5 cm in height) and the material (Inconel 718).
# The w... |
[
{
"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 integers num1 and num2.\nIn one operation, you can choose integer i in the range [0, 60] and subtract 2^i + num2 from num1.\nReturn the integ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 40 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: We need to find the minimum number of operations to make num1 equal to 0 by subtracting 2^i + num2 from num1 in each operation.
# Identify key elements: num1, num2, and the operation of subtracting 2^i + num2 from num1.
# Identify constraints: 1 <= num1 <= 10^9 and -10^9 <= num2 <= 1... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.We have a sequence of length N consisting of positive integers: A=(A_1,\\ldots,A_N). Any two adjacent terms have diffe... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 191 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves a sequence of positive integers where any two adjacent terms have different values.
# The task is to insert numbers into this sequence based on a specific procedure until every pair of adjacent terms has an absolute difference of 1.
# The procedure involves identifying the first pair of... |
[
{
"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 of length n and an integer array queries.\nLet gcdPairs denote an array obtained by calculating the GCD of all possible pai... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 197 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: We are given two arrays, nums and queries. We need to calculate the GCD of all possible pairs of numbers in nums, sort these GCD values in ascending order, and then use the sorted GCD values to answer queries.
# Identify key elements: nums (array of integers), queries (array of indic... |
[
{
"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 range of reward that can guarantee the geometric convergence of the value ite... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 467 | HLESubset | {
"expected_answer": "E",
"problem_id": "6739691ecea30e65e1f96876",
"reference_rationale": "Setting and Notation\n\n\\begin{itemize}\n \\item States ($\\mathcal{S}$): A finite set of states.\n \\item Actions ($\\mathcal{A}$: A finite set of actions.\n \\item Transition Probabilities ($P(s'|s,a)$): Probab... | [ASSESS]
# The problem is asking about the range of rewards that can guarantee the geometric convergence of the value iteration algorithm.
# The value iteration algorithm is a dynamic programming technique used to solve Markov decision processes (MDPs).
# Geometric convergence refers to the convergence of the algorith... |
[
{
"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 products labeled 1 to N flowing on a conveyor belt.\r\nA Keyence printer is attached to the conveyor belt,... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 308 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves finding the maximum number of products that a Keyence printer can print on, given the timing of product entry and exit from the printer's range.
# The printer can instantly print on one product within its range, but requires a 1-microsecond charge time before printing again.
# The input... |
[
{
"content": "Problem: In a table tennis tournament every participant played every other participant exactly once. Although there were twice as many right-handed players as left-handed players, the number of games won by left-handed players was $40\\%$ more than the number of games won by right-handed players. ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 5,
"temperature": 0.7
} | 5 | 4 | AMC23 | {
"expected_answer": "36",
"problem_id": "4",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# We are given that there are twice as many right-handed players as left-handed players, but the exact numbers are not provided.
# The number of games won by left-handed players is 40% more than the number of games won by right-handed players.
# We need to find the total number of games played in the tourname... |
[
{
"content": "Problem: Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by $20\\%$ on every pair of shoes. Carlos also knew that he had to pay a $7.5\\%$ sales tax on the discounted price. He had $$43$ dollars. What is the original (before discount) price of th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 30 | AMC23 | {
"expected_answer": "50",
"problem_id": "36",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: Carlos needs to buy running shoes with a 20% discount and then a 7.5% sales tax on the discounted price. He has $43 to spend.
# Identify the objective: Find the original price of the most expensive shoes he can afford.
# Note the constraints: The total cost (discounted price + sales ... |
[
{
"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 | 218 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves counting the number of integer sequences that satisfy certain conditions when used as input for Problem 101.
# We need to understand the constraints and objectives of the problem, including the modulo operation and the specific conditions for each test case.
# The problem requires us 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: A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of $400 \\mathrm{p... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 79 | JEEBench | {
"expected_answer": "2",
"problem_id": "26",
"reference_rationale": null,
"reference_solution": null,
"subject": "chem",
"type": "Integer"
} | [ASSESS]
# The problem involves finding the number of atoms in a given mass of a crystalline solid with a face-centred cubic structure.
# We are given the cell edge length (400 pm), the density of the substance (8 g/cm^3), and the mass of the crystal (256 g).
# The objective is to calculate the number of atoms present... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Let |alpha> be the state describing an electron, such that it is proportional to (1+i) |up> + (2-i) |down>, where |up> and |down> are the eigenstates of the z-projection... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 111 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves calculating probabilities and the average value of an operator for a given electron state.
# The electron state is described by a linear combination of eigenstates of the z-projection of the spin operator.
# The operator in question has a matrix representation with specific elements, wh... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.AtCoder Inc. sells merchandise through its online shop.\nTakahashi has decided to purchase N types of products from th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 342 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires writing a Python function that calculates the total amount Takahashi will pay for online shopping.
# The function should take the number of products (N), the shipping threshold (S), the shipping fee (K), and the prices and quantities of each product as input.
# The function should calcu... |
[
{
"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 | 310 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves determining the maximum number of points Prokhor can achieve in an olympiad with n problems, each having a score a_i and a parameter b_i.
# The participant can either submit a problem to receive points or skip it, which affects the next problem they receive.
# The goal is to maximize 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.Takahashi has recorded the number of steps he walked for N weeks. He walked A_i steps on the i-th day.\nFind the total... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 222 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires writing a Python function that takes the number of weeks (N) and the steps walked each day (A_i) as input, and prints the total number of steps walked each week.
# The input is given in a specific format, with the number of weeks on the first line, followed by the steps walked each day ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: The universe is filled with the Cosmic Microwave Background. Consider the annihilation of high energy \\gamma-rays with a photon from the CMB Radiation into electron-pos... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 6 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
\nThe problem involves the annihilation of high-energy γ-rays with a photon from the Cosmic Microwave Background (CMB) Radiation into electron-positron pairs. We need to determine the energy of γ-rays that would have their lifetimes limited by this process.
\nThe average photon energy of the CMB is given as 10... |
[
{
"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}\nProtein-protein interaction between mammalian proteins expressed in bacteria was studied ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 181 | HLESubset | {
"expected_answer": "F",
"problem_id": "6716e28929a01505aba1ddb5",
"reference_rationale": "Experiment1\nThe result of the experiment shows that proteins C and D exist as monomers and proteins A and B exist as dimers.\n\nExperiment 2. \nThe results show us that proteins A, C, and D make the complex with mass 210k... | [ASSESS]
# The problem involves analyzing the results of four experiments on protein-protein interactions in bacteria, using Size Exclusion Chromatography coupled to Multi-Angle Light Scattering detector (SEC-MALS).
# The experiments involve studying the effects of protein kinase and phosphatase on the interactions be... |
[
{
"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 | 10 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires determining if Alice can trade up from card 1 to card n in a card game with three other players.
# Each player has a permutation of the n card types, and they are willing to trade card b to Alice in exchange for card a if p_a > p_b.
# Alice's preferences are straightforward: she values ... |
[
{
"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 | 120 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem involves determining if it's possible to make a sequence of 0s and 1s into a single 1 by applying a series of operations.
# Each operation involves selecting a subsequence and replacing it with the majority element of that subsequence.
# The majority element is defined as the element that appear... |
[
{
"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 | 52 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the maximum integer k at which Alice is guaranteed to win the game.
# The game involves an array of integers and Bob choosing two integers i and j to find the maximum among the integers a_i, a_{i+1},..., a_j.
# Alice wins if the obtained maximum is strictly greater than k, other... |
[
{
"content": "Problem: Mrs. Jones is pouring orange juice into four identical glasses for her four sons. She fills the first three glasses completely but runs out of juice when the fourth glass is only $\\frac{1}{3}$ full. What fraction of a glass must Mrs. Jones pour from each of the first three glasses into t... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 22 | AMC23 | {
"expected_answer": "7",
"problem_id": "25",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# Understand the problem: Mrs. Jones has four identical glasses and four sons. She fills the first three glasses completely but only partially fills the fourth glass. The goal is to find out how much she needs to pour from the first three glasses into the fourth glass so that all four glasses have the same am... |
[
{
"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 points where points[i] = [x_i, y_i] represents the coordinates of a point on an infinite plane.\nYour task is to find the maximum area o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 342 | LiveCodeBenchV5 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem asks us to find the maximum area of a rectangle that can be formed using four points as its corners, with edges parallel to the axes, and without containing any other point inside or on its border.
# We are given an array of points, where each point is represented by its coordinates [x, y].
# Th... |
[
{
"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: If a chord, which is not a tangent, of the parabola $y^{2}=16 x$ has t... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 84 | JEEBench | {
"expected_answer": "C",
"problem_id": "38",
"reference_rationale": null,
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | [ASSESS]
# The problem involves a parabola with the equation $y^{2}=16x$ and a chord that is not a tangent, with the equation $2x+y=p$.
# The midpoint of the chord is given as $(h, k)$.
# We need to determine the possible values of $p, h,$ and $k$.
# To start, we should find the relationship between the equation of th... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an integer sequence A=(A_1,A_2,\\dots,A_N).\r\nYou can perform the following operation any number of tim... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 257 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# The problem requires finding the minimum number of operations to make the difference between the minimum and maximum values of a given integer sequence at most one.
# The input consists of an integer N representing the length of the sequence, followed by N integers representing the sequence A.
# The constra... |
[
{
"content": "Problem: An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the circle is 3, and the area of the trapezoid is 72. Let the parallel sides of the trapezoid have lengths $r$ and $s$, with $r \\neq s$. Find $r^2 + s^2$.\nMark your solution with \\boxed\nAns... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 5,
"temperature": 0.7
} | 5 | 5 | AIME25 | {
"expected_answer": "504",
"problem_id": "I-6",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# We are given an isosceles trapezoid with an inscribed circle tangent to each of its four sides. The radius of the circle is 3, and the area of the trapezoid is 72.
# The problem asks us to find the value of $r^2 + s^2$, where $r$ and $s$ are the lengths of the parallel sides of the trapezoid.
# We need to u... |
[
{
"content": "Problem: Let $a$ be a positive real number such that all the roots of\n\\[x^3 + ax^2 + ax + 1 = 0\\]are real. Find the smallest possible value of $a.$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 19 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_rationale": null,
"reference_solution": "",
"subject": null,
"type": null
} | [ASSESS]
# We are given a cubic equation $x^3 + ax^2 + ax + 1 = 0$ and asked to find the smallest possible value of $a$ such that all the roots of the equation are real.
# The equation has the form of a cubic polynomial with real coefficients, and we know that a cubic polynomial must have at least one real root.
# Our... |
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