context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 9
values | metadata dict | model_outputs stringlengths 1 200k |
|---|---|---|---|---|---|---|
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: While solving higher dimensional heat equations subject to suitable initial and boundary conditions through higher order finite difference approximations and parallel sp... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 83 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let me try to figure out this problem. So, the question is about converting a sequential algorithm into a parallel algorithm when solving higher-dimensional heat equations using higher-order finite difference approximations and parallel splitting. The key factor mentioned is the approximation of the matri... |
[
{
"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: Consider the following reactions (unbalanced)\n$\\mathrm{Zn}+$ hot con... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 224 | JEEBench | {
"expected_answer": "ACD",
"problem_id": "21",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, let me try to figure out this chemistry problem. So, there are three reactions given, all involving zinc. I need to determine which of the options (A, B, C, D) are correct based on the products mentioned and some basic chemistry concepts. Let me start by writing down each reaction and analyzing them step ... |
[
{
"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 | 158 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out whether Vanya can transform the sequence s into t using the given operations. Let me start by understanding the problem again.
Each test case gives two binary sequences, s and t, both of length n. Vanya can choose a segment [l, r] (1 ≤ l ≤ r ≤ n) and perform an XOR operation betwe... |
[
{
"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 | 340 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how many games Bob wins in this modified game of stones. The rules are that each pile has an associated value \( a_i \), and you can remove any number \( d \) from the \( i \)-th pile as long as \( 1 \leq d \leq a_i \) and \( x \& d = d \), where \( x \) is the current number of st... |
[
{
"content": "Problem: Let $f$ be the unique function defined on the positive integers such that \\[\\sum_{d\\mid n}d\\cdot f\\left(\\frac{n}{d}\\right)=1\\] for all positive integers $n$. What is $f(2023)$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 12 | AMC23 | {
"expected_answer": "96",
"problem_id": "14",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the function f defined on positive integers such that for every positive integer n, the sum of d times f(n/d) over all divisors d of n equals 1. Then, specifically, I need to find f(2023). Hmm, let's start by understanding the problem.
First, the function f is uniquely defined by the eq... |
[
{
"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 heavy nucleus $Q$ of half-life 20 minutes undergoes alpha-decay with pr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 312 | JEEBench | {
"expected_answer": "D",
"problem_id": "4",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, let's see. I need to find the number of alpha-decays of the heavy nucleus Q in the first one hour. The half-life of Q is 20 minutes, and it has a 60% chance of undergoing alpha-decay and 40% for beta-decay. Initially, there are 1000 nuclei. Hmm.
First, let me recall some basic concepts. Half-life is 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 | 53 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to maximize the number of starting cells from which Rostam will be trapped forever in the witch's labyrinth. The problem is presented as a grid where each cell has a direction (U, D, L, R) or is unspecified (denoted by ?). The goal is to assign directions to the unspecified cel... |
[
{
"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 | 162 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this Stardew Valley problem where Farmer Buba has to walk through each road with an NPC exactly once, starting and ending at the same house. The graph can have multiple edges and loops, and the input gives multiple test cases. Let me break down the problem and my approach step by step.
... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: In the lab, a chemist discovers an unnamed bottle with a white solid inside. He gathers the following spectral information in order to identify the liquid. Make a reason... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 153 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, let's try to figure out this unidentified drug. The chemist has some spectral data: mass, IR, and NMR. I need to match these to one of the given options. Let me start by breaking down each piece of information.
First, the molecular ion peak at m/z 156. That's the molecular weight. Let me note the mole... |
[
{
"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 | 80 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out whether two given arrays a and b can be made the same by swapping elements in a specific way. The problem allows me to select intervals [l, r] in array a and [p, q] in array b, where the length of the interval in b (q - p + 1) is equal to the length of the interval in a (r - l + 1)... |
[
{
"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 | 433 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to maximize the rating of the last remaining fighter after a series of battles. Each battle between two fighters i and j reduces the rating of the loser (fighter j) by the rating of the winner (fighter i). The key here is that the order of the battles matters, and we need to ch... |
[
{
"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 | 272 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where Mayaw has to arrange two rows of bottles in a specific way. The first row must have bottles that are each lower in height than the corresponding bottles in the back row, and the heights of the front row must form a non-strictly increasing followed by a non-strictly de... |
[
{
"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 created a game where the player controls a dragon on a coordinate plane.\nThe dragon consists of N parts... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 358 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | # A function to simulate the dragon game as described. The dragon has N parts numbered 1 to N, with part 1 being the head. Initially, each part i is at coordinates (i, 0). The function processes Q queries where each query can either move the head in a direction or request the coordinates of part p.
from collections im... |
[
{
"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 | 352 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out for each test case whether there's a palindrome route between any two vertices in a cycle with colored edges. The cycle has n vertices, and each edge is either red (R) or blue (B). The problem wants to know if for every pair of vertices (i, j), there's a palindrome route connecting... |
[
{
"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 the function $f:[0,1] \\rightarrow \\mathbb{R}$ be defined... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 309 | JEEBench | {
"expected_answer": "19",
"problem_id": "52",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to find the value of this big sum where each term is the function f evaluated at different fractions of 40, and then subtract f(1/2). The function f is defined as (4^x)/(4^x + 2). Let me write down the problem again to make sure I have it right:
Compute the sum:
f(1/40) + f(2/40) + f(3/40) + .... |
[
{
"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 | 76 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the minimum number of groups to split the fishes into so that Bob's score exceeds Alice's by at least k points. Let me start by understanding the problem again.
We have n fish, each caught by either Alice or Bob. Each fish is assigned a value based on its group: the first group's ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: cyclohexanone was treated with bromine, forming product 1.\n1 was heated with sodium hydroxide, forming product 2.\n2 was treated with thionyl chloride and pyridine, for... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 47 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out how many chemically distinct hydrogen atoms are on product 4. Hmm, the problem involves a series of reactions starting from cyclohexanone. Let me break it down step by step.
First, the starting material is cyclohexanone. Cyclohexanone has the formula C6H10O. The structure is a six... |
[
{
"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 | 192 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out whether Alex can find a free time interval of at least 's' minutes to shower during a day with 'm' minutes, given that he has 'n' tasks scheduled. Each task is an interval (l_i, r_i), and no two tasks overlap. The challenge is to check for each test case if there's at least one fre... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.For positive integers x and y, define f(x, y) as follows:\n\n- Interpret the decimal representations of x and y as str... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 446 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to compute this sum where each term is the concatenation of two numbers from the array A, right? The problem is asking for the sum of f(A_i, A_j) for all pairs (i, j) where i < j, and then take that sum modulo 998244353.
First, let me make sure I understand the function f(x, ... |
[
{
"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 correct sequence of reagents to synthesize 1-(cyclohexyl(hydroxy)methyl)cyclohexanecarbaldehyde from ethynylcyclohexane.\n\n\nOptions: A) 1. NaNH2, methyl c... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 61 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the correct sequence of reagents to convert ethynylcyclohexane into 1-(cyclohexyl(hydroxy)methyl)cyclohexanecarbaldehyde. Let me break down the problem step by step.
First, let's understand the target molecule: 1-(cyclohexyl(hydroxy)methyl)cyclohexanecarbaldehyde. That's a bit 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 a 0-indexed integer array nums.\nYou can perform any number of operations, where each operation involves selecting a subarray of the array and re... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 139 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the maximum length of a non-decreasing array that can be made by performing operations on the given array. Let me try to understand the problem step by step.
First, the problem says that an operation involves selecting a subarray and replacing it with the sum of its elements. 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: Let $a$ and $b$ be positive real numbers. Suppose $\\overrightarrow{P ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 304 | JEEBench | {
"expected_answer": "AC",
"problem_id": "47",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, let's tackle this problem step by step. First, let me make sure I understand all the given information and what's being asked.
We have a parallelogram PQRS with adjacent sides PQ and PS given by vectors a i + b j and a i - b j respectively. The vectors u and v are the projections of the vector w = i + j... |
[
{
"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 | 185 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have a permutation of numbers from 1 to n, and I have to find another permutation q such that the number of subarray sums that are equal is minimized. The problem states that for each test case, we need to output a permutation q that does this.
First, let me under... |
[
{
"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 single integer N written on a blackboard.\r\nTakahashi will repeat the following series of operations until... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 381 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to solve this problem where Takahashi keeps doing these operations on a number until all that's left are 1s, and we have to find out how much money he spent in total. Let me try to break it down step by step.
First, let me make sure I understand the problem correctly. We start... |
[
{
"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 $\\vec{a}$ and $\\vec{b}$ be two unit vectors such that $\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 147 | JEEBench | {
"expected_answer": "3",
"problem_id": "48",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to solve this problem where we have two unit vectors a and b with a⋅b=0, meaning they're perpendicular. Then there's a vector c defined as c = x a + y b + (a × b). The magnitude of c is 2, and c is inclined at the same angle α to both a and b. We need to find the value of 8 cos² α.
Let me start... |
[
{
"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 | 364 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out whether Kevin can form an isosceles trapezoid from the given sticks. The problem states that he needs to select four sticks to form such a trapezoid. If possible, we need to output the lengths of those four sticks; otherwise, print -1.
First, let me recall what an isosceles trape... |
[
{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: Let $a$ and $b$ be positive real numbers. Suppose $\\overrightarrow{P ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 304 | JEEBench | {
"expected_answer": "AC",
"problem_id": "47",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, let's try to tackle this problem step by step. First, let me understand the given information and what's being asked.
We have a parallelogram PQRS with adjacent sides PQ and PS. The vectors for these sides are given as PQ = a i + b j and PS = a i - b j. We need to find the projections of the vector w = ... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 111 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let me try to figure out this problem step by step. So, we have an electron described by the state |α⟩, which is proportional to (1 + i)|up⟩ + (2 - i)|down⟩. We need to calculate the probability of measuring the particle in each of the eigenstates of an operator with matrix elements A_ij = ℏ/2 if i ≠ j, a... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Let $m$ be the smallest positive integer such that the coefficient of $x^{2}$ in the expansion of $(1+x)^{2}+(... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 38 | JEEBench | {
"expected_answer": "5",
"problem_id": "51",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | <think>
Okay, so I need to find the smallest positive integer m such that when we expand the sum (1+x)^2 + (1+x)^3 + ... + (1+x)^49 + (1+mx)^50, the coefficient of x^2 is equal to (3n + 1) choose 51, which is written as (3n + 1)^{51} C_{3}. Then I have to find the value of n. Hmm, let me break this down step by step.
... |
[
{
"content": "Problem: Eight circles of radius $34$ are sequentially tangent, and two of the circles are tangent to $AB$ and $BC$ of triangle $ABC$ , respectively. $2024$ circles of radius $1$ can be arranged in the same manner. The inradius of triangle $ABC$ can be expressed as $\\frac{m}{n}$ , w... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 22 | AIME24 | {
"expected_answer": "197",
"problem_id": "aime24-22",
"reference_solution": "Draw an altitude from both end circles of the diagram with the circles of radius one, and call the lengths you get drawing the altitudes of the circles down to $BC$ $a$ and $b$ . Now we have the length of side $BC$ of being $(2)... | <think>
Okay, so I need to solve this problem about circles arranged in a triangle and find the inradius of triangle ABC. Let me try to understand the problem step by step.
First, the problem says there are eight circles of radius 34, arranged in such a way that they're all tangent to each other. Two of these circles ... |
[
{
"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 | 255 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the maximum length of a good array given the lower bound l and upper bound r. A good array is one that's strictly increasing, and the differences between consecutive elements are also increasing. That means the second difference is positive. Let me try to understand the problem ste... |
[
{
"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 a non-negative integer k. In one operation, you can increase or decrease any element by 1.\nReturn the minimum number o... | {
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Okay, so I need to figure out the minimum number of operations required to make the median of an integer array equal to a non-negative integer k. The operations allow me to increase or decrease any element by 1. Let me start by understanding the problem step by step.
First, the median of an array is the middle... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a string S = S_1S_2\\ldots S_N of length N consisting of lowercase English letters.\nAdditionally, you a... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 323 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to solve this problem where I have a string S and Q queries. Each query gives me a substring of S, and I need to count how many places within that substring have the same lowercase English letter occurring twice in a row. The challenge here is to do this efficiently because bot... |
[
{
"content": "Problem: What is the value of\n\\[2^3 - 1^3 + 4^3 - 3^3 + 6^3 - 5^3 + \\dots + 18^3 - 17^3?\\]\nMark your solution with \\boxed\nAnswer:",
"role": "user"
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] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 3 | AMC23 | {
"expected_answer": "3159",
"problem_id": "3",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the value of this series: 2³ - 1³ + 4³ - 3³ + 6³ - 5³ + ... + 18³ - 17³. Hmm, let me think about how to approach this.
First, I notice that the series alternates between adding an even number's cube and subtracting an odd number's cube. The pattern starts with 2³ - 1³, then 4³ - 3³, 6³... |
[
{
"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_solution": "",
"subject": null,
"type": null
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Okay, so I need to solve this problem where we have a set of integers and we perform operations to insert, remove, or query the k-load of the set. The k-load is the smallest positive integer d such that the integers d, d+1, ..., d+k-1 are not in the set.
First, let me try to understand the problem step by ste... |
[
{
"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 | 448 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the minimum value of k such that we can paint all the given cells black by using operations where we paint two cells black if their difference is at most k. Additionally, we can paint at most one extra cell not in the given list.
First, let me understand the problem. We have a li... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 359 | CodeElo | {
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"problem_id": "",
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"subject": null,
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} | <think>
Okay, so I need to solve this problem where QED has a permutation and a string of Ls and Rs. He can perform certain operations based on the string's characters to sort the permutation in non-decreasing order. There are also queries where he flips a character in the string from L to R or vice versa, and we need ... |
[
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"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: A sample $(5.6 \\mathrm{~g})$ containing iron is completely di... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 358 | JEEBench | {
"expected_answer": "18.75",
"problem_id": "30",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's try to figure out how to solve this problem step by step. So, we have a sample of iron that's dissolved in hydrochloric acid to make a 250 mL solution. Then, when we take 25 mL of that solution and titrate it with potassium permanganate (KMnO4) solution, we need 12.5 mL of the KMnO4, which is 0.03 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 | 179 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where there's a grid with 2 rows and n columns. Each cell can be either free or blocked. The question is about figuring out how many cells, when blocked, will result in exactly 3 connected regions.
First, let me make sure I understand the problem correctly. A connected re... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: In gametogenesis, the germline undergoes two cycles of meiosis to give rise to haploid gametes. The goal of meiosis, unlike mitosis, is to separate not only the replicat... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 96 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
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} | <think>
Okay, so I need to figure out which molecular mechanism is responsible for the less prominent phenotypic consequences of Klinefelter's syndrome compared to Down's syndrome. Let me start by recalling what Klinefelter's syndrome and Down's syndrome are.
Klinefelter's syndrome is a condition where males have an e... |
[
{
"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 | 170 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out whether it's possible to win this game where we have a binary string s of length n and another binary string r of length n-1. The goal is to perform n-1 operations where each operation replaces two consecutive characters in s with a single character from r. If we can do this withou... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 375 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out if it's possible to convert a given number into a number divisible by 9 by squaring some of its digits. The key points are:
1. Each operation consists of choosing a digit, squaring it, and replacing the original digit with the result. However, the square must be a single digit (i.... |
[
{
"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... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 429 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to transform the given permutation A into the identity permutation (1, 2, ..., N) using the minimum number of swaps, right? The problem says that we can perform any number of operations between 0 and N-1 times. Wait, but the output has to be K+1 lines where K is the number of o... |
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{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: The Daily Planet's rate for one agate line of print is $4. It has a circulation of 2 million. What is themillinerate?\nOptions: A. $6.00, B. $1.50, C... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 120 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is about calculating the millinerate for the Daily Planet's agate line of print. The given information is that the rate is $4 per one agate line, and they have a circulation of 2 million. I need to figure out what the millinerate is based on that.
First, let me recall what milline... |
[
{
"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 | 181 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let me try to figure out how to solve this problem. The goal is to make a tree balanced by performing operations where we increase the values of all nodes in a subtree by 1, starting from some root node. We need to find the minimum possible value of the tree after operations.
First, let me understand 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": 2,
"temperature": 0.7
} | 2 | 161 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out for each query whether the Sheriff can avoid losing the game when only considering targets from l to r. The game is between Robin Hood and the Sheriff, with Robin starting. Both play optimally. The key here is probably figuring out the maximum possible score each player can get in ... |
[
{
"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 | 64 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where Yasya is dealing with a tree and some queries. There are two types of queries: one that flips the bits of the edge weights using XOR with a number y, and another that adds a new edge from a vertex v to any other vertex u with weight x, and then asks for the maximum po... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed array nums consisting of positive integers.\nYou can do the following operation on the array any number of times:\n\nChoose an intege... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 57 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to maximize the largest element in the array by performing the given operation any number of times. The operation is: choose an integer i (0 ≤ i < nums.length - 1) where nums[i] ≤ nums[i + 1], then replace nums[i + 1] with nums[i] + nums[i + 1] and delete nums[i].
Let me star... |
[
{
"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: Use divergence therem to evaluate $\\iint_S \\vec{F} \\cdot d \\vec{S}$ where $\\vec{F} = sin(\\pi x) \\vec{i} + (z y^3)\\vec{j} + (z^2 + 4x)\\vec{k}... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 227 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to evaluate the surface integral of the vector field F over the surface S, which is the box defined by -1 ≤ x ≤ 2, 0 ≤ y ≤ 1, and 1 ≤ z ≤ 4. The vector field is given by F = sin(πx) i + (z y³) j + (z² + 4x) k. The options are all numerical, so I guess after computing the integral, I just 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 | 178 | CodeForces | {
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"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the minimum number of operations required to change all characters in a binary string to '0' using the given rules. Let me start by understanding the problem again.
We have a string made up of '0's and '1's. An operation consists of selecting a non-empty subsequence where any two... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: We have a large ensemble of 10.000 (ten thousand) identical systems. Each system has a particle that are the same and under the same conditions. Each particle can move a... | {
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"seed": 1,
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} | 1 | 38 | GPQADiamond | {
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"problem_id": "",
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"subject": null,
"type": null
} | <think>
Alright, let's see. I need to find the value of "a" in the wave function given that there are 10,000 particles, and they are only found between x=1 and x=3. The wave function is (a / sqrt(1 + x)) - 0.5i. Hmm, okay. So the wave function is a complex function, and the probability of finding a particle at position... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 202 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how late I can leave home to make both the phone call and the event. Let me start by understanding the problem.
We have a city with n intersections and m streets. Each street has two travel times: one by bus (l_{i1}) and one on foot (l_{i2}). The goal is to determine the latest ti... |
[
{
"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 monopoly with a straight, downward-sloping demand curve has a marginal revenue curve that is\nOptions: A. initially upward sloping and then downwar... | {
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"seed": 0,
"temperature": 0.7
} | 0 | 300 | MMLUPro | {
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"problem_id": "",
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"subject": null,
"type": null
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Okay, so I need to figure out the shape of the marginal revenue curve for a monopoly with a straight, downward-sloping demand curve. Let me start by recalling some basic concepts about demand and revenue curves.
First, a monopoly is a single seller in the market, so it faces the entire demand curve. The demand... |
[
{
"content": "Problem: A cylindrical beaker is 8 cm high and has a radius of 3 cm. How many such beakers of water will it take to fill a spherical tank of radius 6 cm?\nMark your solution with \\boxed\nAnswer:",
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}
] | {
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"subject": null,
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Okay, so I need to figure out how many cylindrical beakers, each 8 cm high with a radius of 3 cm, it takes to fill a spherical tank with a radius of 6 cm. Hmm, let's start by recalling the formulas for the volumes of a cylinder and a sphere.
The volume of a cylinder is given by \( V = \pi r^2 h \), where \( r... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 340 | CodeElo | {
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"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this "Bit Game (Hard Version)" problem. Let me try to understand the problem first.
Alice and Bob are playing a game with n piles of stones. Each pile has a value a_i, and the number of stones in the i-th pile can be any integer from 1 to b_i. The game is similar to the classic Nim gam... |
[
{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: A heavy nucleus $N$, at rest, undergoes fission $N \\rightarrow P+Q$, ... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 344 | JEEBench | {
"expected_answer": "ACD",
"problem_id": "5",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | <think>
Okay, let's tackle this problem step by step. So, we have a heavy nucleus N at rest undergoing fission into two lighter nuclei P and Q. We need to analyze the given statements about their kinetic energies, momenta, and velocities. Let me recall some basic principles here.
First, in nuclear fission, the total m... |
[
{
"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: For a non-zero complex number $z$, let $\\arg (z)$ denote the principa... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 137 | JEEBench | {
"expected_answer": "ABD",
"problem_id": "37",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, let's tackle this problem step by step. First, I need to understand what's being asked here. The question is about the argument of complex numbers and some properties related to them. There are four statements (A) to (D), and we need to determine which ones are false. For each option, I need to verify the... |
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{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed 2D integer array nums representing the coordinates of the cars parking on a number line. For any index i, nums[i] = [start_i, end_i] ... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 97 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
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"subject": null,
"type": null
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Okay, so I need to figure out how to solve this problem where there are cars parked on a number line, each defined by their start and end points, and I have to find out how many integer points are covered by any part of these cars. Let me try to break this down step by step.
First, the problem gives a 2D integ... |
[
{
"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: Two men are walking along a horizontal straight line in the sa... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 125 | JEEBench | {
"expected_answer": "5",
"problem_id": "8",
"reference_solution": null,
"subject": "phy",
"type": "Numeric"
} | <think>
Okay, so I need to figure out the frequency of beats heard by the stationary man when the two moving men are 10 meters apart. Let me start by understanding the problem step by step.
First, there are three men: two are walking in the same direction, and the third is stationary at a height of 12 meters. The walk... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 114 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to solve this problem where we have a tree with n vertices, and each vertex has an integer value. The goal is to make the tree "wonderful" by performing the minimum number of operations, where each operation consists of increasing the value of a single vertex by 1.
First, let... |
[
{
"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 $p, q, r$ be nonzero real numbers that are, respectively, the $10^{\\... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 391 | JEEBench | {
"expected_answer": "B",
"problem_id": "17",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | <think>
Okay, let's try to tackle this problem step by step. It's about harmonic progression and systems of linear equations. Hmm, harmonic progression... So, if p, q, r are the 10th, 100th, and 1000th terms of a harmonic progression, that means their reciprocals form an arithmetic progression. Let me recall: if three ... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Which of the following liberates $\\mathrm{O}_{2}$ upon hydrolysis?\n(A) ... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 250 | JEEBench | {
"expected_answer": "B",
"problem_id": "20",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | <think>
Okay, so I need to figure out which of these options—Pb3O4, KO2, Na2O2, or Li2O2—will liberate oxygen gas (O2) when hydrolyzed. Let me start by recalling what hydrolysis means. Hydrolysis is a chemical reaction where a compound reacts with water, typically breaking down into simpler substances. In the case of t... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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Okay, so I need to solve this problem where I have an array of integers, and I have to split it into segments such that each element is in exactly one segment. The segments need to be ordered in such a way that the bitwise OR of each subsequent segment is less than or equal to the previous one. Then, I need to ... |
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"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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Okay, so I need to solve this problem where Vlad has a strip of cells with numbers and directions 'L' or 'R'. The goal is to score the maximum points by choosing segments where the first cell is 'L' and the last cell is 'R', adding the sum of the numbers in that segment, and then replacing all the cells in that... |
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"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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Okay, so I need to solve this problem where Kousuke has to find the maximum number of non-overlapping segments in an array such that each segment sums to zero. Let me try to understand the problem step by step.
First, the problem states that a segment [l, r] is considered beautiful if the sum of the elements f... |
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{
"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.\nReturn an integer that is the maximum distance between the indices of two (not necessarily different) prime numbers in nu... | {
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} | <think>
Okay, so I need to create a Python function that takes an integer array called 'nums' and returns the maximum distance between the indices of two prime numbers in the array. Let me start by understanding the problem step by step.
First, the function should identify all the prime numbers in the given array. Pri... |
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"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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} | <think>
Okay, so I need to figure out whether a given string s can be permuted into a permutation that satisfies certain conditions based on the characters p, s, and . Let me try to parse the problem again.
The problem states that we have a string s of length n, which consists of the characters p, s, and dots. We need... |
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{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: In a triangle $X Y Z$, let $x, y, z$ be the lengths of sides opposite ... | {
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"problem_id": "45",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, let's try to tackle this problem step by step. It seems a bit complex at first glance, but maybe if I break it down, I can figure out which options are correct. Let's start by understanding the given information.
First, we have a triangle XYZ with sides opposite to angles X, Y, Z denoted by x, y, z respe... |
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"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... | {
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"problem_id": "29",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, let me try to figure out which of these statements about sugars are true. Let's start with each one by one.
First, statement (A): "Monosaccharides cannot be hydrolysed to give polyhydroxy aldehydes and ketones." Hmm, monosaccharides are simple sugars, right? They usually have one sugar unit. Hydrolysis u... |
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{
"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: One morning, an employee arrived at work and found his boss passed out on the floor of his office. The employee determined that his boss was not brea... | {
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Okay, let's try to figure out this problem. So, an employee saves his boss's life by performing CPR and then the boss promises to give him a job for life. The question is about the legal relationship between them on that date. Let me go through the options one by one.
First, let's recall some basic contract la... |
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{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
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Okay, so I need to figure out how to solve this Binary Cut problem. Let me start by understanding the problem statement properly.
We have a binary string, and we need to cut it into the minimum number of pieces such that we can rearrange those pieces to form a sorted binary string. A sorted binary string is on... |
[
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"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 233 | CodeForces | {
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"problem_id": "",
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"subject": null,
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} | <think>
Okay, so I need to figure out how to maximize the number of students around each coffee machine by turning off lights in other rooms. The problem says that when you turn off the lights in a room, half the students leave, and the other half go to adjacent rooms. The key here is that the teachers can do this for ... |
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"content": "Problem: Let $N$ be the greatest four-digit positive integer with the property that whenever one of its digits is changed to $1$ , the resulting number is divisible by $7$ . Let $Q$ and $R$ be the quotient and remainder, respectively, when $N$ is divided by $1000$ . Find $Q+R$ .\nMark ... | {
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} | 5 | 6 | AIME24 | {
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"problem_id": "aime24-6",
"reference_solution": "We note that by changing a digit to $1$ for the number $\\overline{abcd}$ , we are subtracting the number by either $1000(a-1)$ , $100(b-1)$ , $10(c-1)$ , or $d-1$ . Thus, $1000a + 100b + 10c + d \\equiv 1000(a-1) \\equiv 100(b-1... | <think>
Okay, so I need to find the greatest four-digit number N such that if any one of its digits is changed to 1, the resulting number is divisible by 7. Then, when N is divided by 1000, the quotient Q and remainder R are to be found, and their sum Q + R is to be determined. Alright, let's break this down step by st... |
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{
"content": "Problem: In the sequence 0, 1, 1, 3, 6, 9, 27, ..., the first term is 0. Subsequent terms are produced by alternately adding and multiplying by each successive integer beginning with 1. For instance, the second term is produced by adding 1 to the first term; the third term is produced by mu... | {
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Okay, let's see. I need to figure out the first term in this sequence that's greater than 125. The sequence starts with 0, then each subsequent term alternates between adding and multiplying by the next integer starting from 1. Let me try to break this down step by step.
First, the given sequence is: 0, 1, 1, ... |
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{
"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... | {
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Okay, so I need to figure out how to solve this problem where I have to find the maximum sum of an "almost unique" subarray of length k. The array is called nums, and m and k are given. The key here is that the subarray must have at least m distinct elements. If no such subarray exists, I should return 0.
Fir... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 427 | CodeForces | {
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"problem_id": "",
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"subject": null,
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} | <think>
Okay, so I need to figure out how to maximize the number of happy people on the bus. Each family wants their members to be either sitting together in the same row or alone in a row with an empty seat next to them. The problem gives me the number of families and the number of rows with 2 seats each. Each family ... |
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{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 237 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where people are launching paper airplanes from different floors of a building, and each person can see up to the floor they are on. They need to launch at least c airplanes, and by the end, every resident must have seen at least c airplanes. Some of the airplanes have been... |
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{
"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 subarray of nums is called continuous if:\n\nLet i, i + 1, ..., j_ be the indices in the subarray. Then, for ea... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 54 | LiveCodeBench | {
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"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to solve this problem where I have to find the total number of continuous subarrays in a given array. Let me start by understanding the problem again.
A continuous subarray is defined as a subarray where for any two elements in the subarray, the absolute difference between th... |
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{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Let $f_1:(0, \\infty) \\rightarrow \\mathbb{R}$ and $f_2:(0, \... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 371 | JEEBench | {
"expected_answer": "6",
"problem_id": "46",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I have this problem here where I need to find the value of 6m₂ + 4n₂ + 8m₂n₂, where m₂ and n₂ are the number of local minima and maxima respectively of the function f₂ in the interval (0, ∞). The functions f₁ and f₂ are given, but I think the key is to analyze f₂ since that's what the question is focus... |
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"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: As of 2019, about what percentage of the world population lives in extreme poverty (less than $1.90 a day)?\nOptions: A. 35%, B. 10%, C. 50%, D. 45%,... | {
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"max_new_tokens": 32768,
"seed": 0,
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Okay, so I need to figure out what percentage of the world population lived in extreme poverty in 2019, specifically those earning less than $1.90 a day. Let me start by recalling any information I might have on this topic.
First, I remember that extreme poverty is defined by the World Bank as living on less ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: You have prepared an unknown organic compound. The following 1H NMR data was obtained:\n1H NMR: chemical reference (ppm): 7.0 (1H, d, J = 16.0 Hz), 5.5 (1H, dq), 2.1 (3H... | {
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Alright, let's try to figure out which compound this is based on the 1H NMR data provided. The options are cis-propenyl acetate, trans-propenyl acetate, cis-butenyl acetate, and trans-butenyl acetate. The NMR data given has four different peaks: one at 7.0 ppm (d, J = 16.0 Hz), one at 5.5 ppm (dq), one at 2.1 p... |
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{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
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"problem_id": "",
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"subject": null,
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} | <think>
Okay, so I need to figure out how to solve this problem where Evirir the dragon is moving from (1,1) to (n,m) in a grid. Before moving, they can perform a certain number of row shifts, which cyclically shift each cell in a row to the left by 1. Each shift costs some amount, and the total cost is calculated as k... |
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{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 2,
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"problem_id": "",
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Okay, so I need to solve this problem where we have an array of size n, initially all zeros, and we process q queries. Each query gives two indices x_i and y_i, and we have to choose one of them and either add 1 or subtract 1. After each query, all elements of the array must be non-negative. The goal is to proc... |
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{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Compounds that have the same molecular formula but are different in their structural arrangement are known as isomers. Isomers have two types, constitutional isomers and... | {
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} | 0 | 20 | GPQADiamond | {
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"problem_id": "",
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} | <think>
Okay, let's try to figure out this problem step by step. So, the question is about isomers and tautomerism. Let me first recall what tautomerism is. Tautomerism refers to the interconversion of constitutional isomers where the movement of a proton (H+) leads to a change in the structure. For example, between 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 ... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 214 | CodeForces | {
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"problem_id": "",
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"subject": null,
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} | <think>
Okay, so I need to solve this problem where Slavic has a string with some '?' characters and he needs to replace each '?' with a lowercase letter such that the resulting string has another given string as a subsequence. If that's impossible, we output "NO". Otherwise, output "YES" followed by the modified strin... |
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{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 64 | CodeElo | {
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"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where Yasya is working with a tree and some queries. The problem involves two types of queries: one that flips the bits of the edge weights using XOR with a given number y, and another that adds a new edge from vertex v to some other vertex u with weight x, then finds the m... |
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{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string s and a positive integer k.\nLet vowels and consonants be the number of vowels and consonants in a string.\nA string is beautiful if:\n\... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 138 | LiveCodeBench | {
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"problem_id": "",
"reference_solution": "",
"subject": null,
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} | <think>
Okay, so I need to figure out how to solve this problem where I have a string s and a positive integer k. The goal is to find the number of non-empty beautiful substrings in s. A substring is considered beautiful if the number of vowels and consonants in it are equal, and their product is divisible by k.
Firs... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 100 | CodeElo | {
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"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to maximize the largest connected component of '#' cells in a grid after performing one operation: either setting an entire row or an entire column to '#'. The problem is similar to a grid-based puzzle where connected components are formed by adjacent cells (sharing a side). Th... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: An ideal solution is a\nOptions: A. mixture where the solvents cannot be dissolved in any ratio, B. mixture that reacts violently when combined, C. m... | {
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"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 189 | MMLUPro | {
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"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which option best describes an ideal solution. Let me start by recalling what an ideal solution is. From what I remember, an ideal solution is one where the interactions between the molecules of the different components (solute and solvent) are the same as the interactions between ... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 188 | CodeForces | {
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"problem_id": "",
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} | <think>
Okay, let me try to figure out how to solve this problem. So, we have a series of test cases where each test case involves determining whether each impression (from 1 to n) can be unique. An impression is unique if there exists an array where all the other impressions are different from it.
First, let's parse... |
[
{
"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: One mole of an ideal gas expands adiabatically from an initial state $\\l... | {
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"seed": 1,
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} | 1 | 468 | JEEBench | {
"expected_answer": "A",
"problem_id": "23",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, let's try to figure out this problem. We have two different processes: one adiabatic and one isothermal, both starting from different initial states but ending at the same final state. The question is asking for the ratio of the initial temperatures T_A and T_B. The key here is that the gas is the same, s... |
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{
"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: For water, $\\Delta H_{\\text {vaporization }}$ is $40.656 \\mathrm{~kJ} \\mathrm{~mol}^{-1}$, and the normal boiling point is $373.12 \\mathrm{~K}$.... | {
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"seed": 0,
"temperature": 0.7
} | 0 | 402 | MMLUPro | {
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"problem_id": "",
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} | <think>
Okay, so I need to figure out the boiling point of water at the top of Mount Everest, where the barometric pressure is 253 Torr. The given options are from 325 K to 365 K, so I need to calculate which one is correct. Let me start by recalling what I know about vaporization and boiling points.
First, the normal... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"seed": 2,
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} | 2 | 363 | CodeForces | {
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"problem_id": "",
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"subject": null,
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} | <think>
Okay, so I need to figure out how to maximize the number of points Kevin can earn by rearranging the array of integers. Let me start by understanding the problem step by step.
First, the problem states that Kevin's mother wants him to train his arithmetic skills by manipulating an array of numbers and a runnin... |
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{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
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"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where we have a 2xN matrix, and we can swap columns to maximize the cost of a path from (1,1) to (2,N). The path can move right or down, but since it's only two rows, moving down would go from one row to the other. The key idea is to realize that depending on which columns ... |
[
{
"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 heavy nucleus $Q$ of half-life 20 minutes undergoes alpha-decay with pr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 312 | JEEBench | {
"expected_answer": "D",
"problem_id": "4",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, let's try to figure out this problem step by step. So, we have a heavy nucleus Q with a half-life of 20 minutes. It can undergo alpha-decay with a 60% probability and beta-decay with a 40% probability. Initially, there are 1000 nuclei of Q. The question is asking for the number of alpha-decays of Q in the... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a string s that consists of lowercase English letters.\nA string is called special if it is made up of only a single character. For example, the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 172 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the longest special substring in the given string `s` that occurs at least three times. A special substring is one that's made up of only a single character, like "aaa" or "ttt". If there's no such substring that appears three times, I should return -1.
First, let me understand t... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 263 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which restaurant the person hasn't visited yet. They're visiting a different restaurant each day from Monday to Friday, right? But they've already visited four restaurants from Monday to Thursday, and now they need to go to the fifth one on Friday. The key here is that each day the... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Two fair dice, each with faces numbered 1,2,3,4,5 and 6, are r... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 308 | JEEBench | {
"expected_answer": "8",
"problem_id": "51",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to figure out the value of 14p, where p is the probability that the first perfect square obtained when rolling two dice is odd. Let me start by understanding the problem step by step.
First, when rolling two dice, the possible sums range from 2 to 12. The question mentions that we keep rolling ... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 40 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the minimum number of operations to make num1 equal to 0 by subtracting 2^i + num2 each time. Hmm. Let's start by understanding the problem.
First, the operation is defined as subtracting 2^i + num2 from num1, where i is between 0 and 60. Each operation is choosing a specific i an... |
[
{
"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\n\\[\nM=\\left[\\begin{array}{lll}\n0 & 1 & a \\\\\n1 & 2 & 3 \\\\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 205 | JEEBench | {
"expected_answer": "ABD",
"problem_id": "42",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, let's tackle this problem step by step. We have a matrix M and its adjugate matrix adj M, given. The question is about determining which of the options (A) to (D) are correct regarding the entries of M, the adjugate matrix, determinants, and solving a system of equations. Let's go through each option one ... |
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