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 123k |
|---|---|---|---|---|---|---|
[
{
"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
} | To determine the key factor in converting a sequential algorithm into a parallel algorithm for solving higher-dimensional heat equations using fractional approximation of the matrix exponential function, let's analyze each option:
A) **Existence of nonlocal boundary conditions**: While nonlocal boundary conditions can... |
[
{
"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>
Alright, let me try to figure out this problem step by step. So, we have three equations involving zinc and different reagents, and we need to determine which of the given options (A, B, C, D) are correct. Let me start by analyzing each reaction one by one.
First reaction: Zn + hot concentrated H₂SO₄ → G + 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... | {
"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 XOR operations on subarrays. Let me start by understanding the problem better.
First, each test case gives two binary sequences, s and t, of the same length n. The question is whether Vanya can apply some number of operations... |
[
{
"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 ways Bob can win this game where Alice and Bob take turns removing stones from piles. The key difference here is that the number of stones in each pile isn't fixed—it can be any number between 1 and some upper bound given for each pile. The question is asking for the numbe... |
[
{
"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 value of f(2023) where f is a unique function defined on positive integers such that the sum over all divisors d of n of d times f(n/d) equals 1 for all positive integers n. Hmm, let's parse this step by step.
First, the function f is defined on positive integers, and there's an equ... |
[
{
"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 me 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 probability of 60% and beta-decay with a probability of 40%. Initially, there are 1000 nuclei of Q. The question is asking for the number of alpha-decays of Q... |
[
{
"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>
Alright, so I need to solve this problem where Rostam is in a maze, and the goal is to maximize the number of starting cells from which he gets trapped forever. The maze is given as a grid with some cells having fixed directions (U, D, L, R) and others with unspecified directions denoted by ?. The key is to ass... |
[
{
"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 problem where Farmer Buba has to walk through a town with houses connected by roads. Some of these roads have NPCs, and he needs to talk to each NPC exactly once. The challenge is to find a route that starts and ends at the same house, doesn't repeat any road, and covers all roads ... |
[
{
"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 me try to figure out this problem. So, the chemist has an unknown white solid, and they've done some spectral analysis. Let me note down all the information given and see which option fits best.
First, the mass spectrometry (MS) data: the molecular ion peak is at m/z 156 (100%), and there's anothe... |
[
{
"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 it's possible to make two arrays, a and b, the same by swapping elements in specific ranges. Let me try to break down the problem step by step.
First, the problem states that we can perform moves where we swap elements in a range [l, r] of array a with another range [p, q]... |
[
{
"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>
Alright, so I need to figure out the maximum rating the last remaining fighter can have in this tournament. Let me start by understanding the problem.
We have n fighters with ratings a1, a2, ..., an. In each battle, we choose two fighters i and j (i < j), and i is eliminated. Then j's rating is reduced by i's ... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print 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>
Alright, so I need to solve this problem where Mayaw has to arrange bottles in a two-row rack. The goal is to find the minimum number of bottle caps that need to be removed (so that the front bottles can be shorter) to make sure that each back row bottle isn't blocked by the front row bottle in front of it, and... |
[
{
"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
} | To solve this problem, we need to simulate the movement of a dragon composed of N parts on a coordinate plane. The dragon's parts are initially placed along the x-axis at positions (i, 0) for each part i from 1 to N. The game processes Q queries of two types: moving the head (part 1) in a specified direction and queryi... |
[
{
"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>
Alright, so I need to figure out whether, for each pair of vertices (i, j) in a cycle with n vertices, there exists a palindrome route between them. The cycle has edges colored either R (red) or B (blue). The key points are:
1. A palindrome route means that when you traverse from i to j, the sequence of edge c... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: 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 sum: f(1/40) + f(2/40) + ... + f(39/40) minus f(1/2). The function f(x) is given as 4^x divided by (4^x + 2). Hmm, let's start by understanding the problem step by step.
First, let me write down the function again to make sure I have it right:
f(x) = 4^x / (4^x + 2)
... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print 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 solve this competitive fishing problem where Alice and Bob have caught n fish, and we need to split them into m groups such that the difference in their scores is at least k. The goal is to find the minimum number of groups needed, or determine if it's impossible. Let me try to break this dow... |
[
{
"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. The problem says that cyclohexanone was treated with bromine to form product 1. Then, product 1 was heated with sodium hydroxide to make product 2. Product 2 was then treated with thionyl chloride and pyridine to become ... |
[
{
"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 if Alex can find a free interval of at least s minutes to take a shower, given his tasks for the day. Let me start by understanding the problem step by step.
First, the problem states that each test case involves n tasks, each with a time interval (l_i, r_i) where Alex is busy. 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.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
} | ```python
import sys
def calculate_f(x, y):
return int(str(x) + str(y))
def compute_sum(N, A):
mod = 998244353
total_sum = 0
for i in range(N - 1):
for j in range(i + 1, N):
total_sum += calculate_f(A[i], A[j])
total_sum %= mod
return total_sum
if __name_... |
[
{
"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 synthesize 1-(cyclohexyl(hydroxy)methyl)cyclohexanecarbaldehyde from ethynylcyclohexane. Let me start by understanding the target molecule and the starting material.
The target compound is 1-(cyclohexyl(hydroxy)methyl)cyclohexanecarbaldehyde. Le... |
[
{
"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 replacing subarrays with their sums. Hmm, let me start by understanding the problem better.
First, the original array is 0-indexed, and each operation allows me to pick any subarray (contiguous elements) and replace ... |
[
{
"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 what's given and what needs to be found.
We have a parallelogram PQRS with adjacent sides:
- \(\overrightarrow{PQ} = a\hat{i} + b\hat{j}\)
- \(\overrightarrow{PS} = a\hat{i} - b\hat{j}\)
So, the vectors \(\overrightarrow{PQ}\) ... |
[
{
"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 p of length n, and I need to find another permutation q that minimizes the number of subarray sum equal pairs. That is, pairs (i, j) where the sum from p_i to p_j is equal to the sum from q_i to q_j.
First, let me understand the problem better. ... |
[
{
"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
} | To solve this problem, we need to determine the total amount of money Takahashi will pay until all integers not less than 2 are removed from the blackboard. The key insight is that regardless of the order in which operations are performed, the total amount paid remains the same. This is because each operation of removi... |
[
{
"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 find the value of 8 cos² α where α is the angle that vector c is inclined to both vectors a and b. The problem gives me that vectors a and b are unit vectors with a dot product of 0, which means they are perpendicular. Then c is defined as x a + y b + (a × b), and the magnitude of c is 2. Als... |
[
{
"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 solve this problem where I have to select 4 sticks from a given list to form an isosceles trapezoid. The problem is a bit complex, but let me try to break it down step by step.
First, I recall that an isosceles trapezoid has two parallel sides (bases) and two non-parallel sides of equal leng... |
[
{
"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 make sure I understand what's given and what's being asked.
We have a parallelogram PQRS with adjacent sides PQ = a i + b j and PS = a i - b j. So, the sides PQ and PS are adjacent, meaning they meet at point P. The vectors u and v are the proj... |
[
{
"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>
Alright, let me try to figure out this problem step by step. So, we have an electron in a state proportional to (1+i)|up> + (2-i)|down>. First, I need to normalize this state because the coefficients are given with complex numbers, right? The probabilities depend on the squared magnitudes of these coefficients.... |
[
{
"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 the coefficient of \( x^2 \) in the expansion of the sum \( (1+x)^2 + (1+x)^3 + \cdots + (1+x)^{49} + (1+mx)^{50} \) is equal to \( (3n + 1)^{51} \binom{51}{3} \) for some positive integer \( n \). Then, I have to find the value of \( n \).... |
[
{
"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 figure out the inradius of triangle ABC given that there are these two arrangements of circles. Let me start by understanding the problem step by step.
First, the problem says there are eight circles of radius 34 that are sequentially tangent. Two of these circles are tangent to sides AB and... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print 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 constraints on the elements. Let me start by understanding the problem step by step.
First, the problem defines a "good array" as one that is strictly increasing, and also the differences between consecutive elements are increasing. So,... |
[
{
"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... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 474 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the minimum number of operations required to make the median of an integer array equal to a given non-negative integer k. The operations allowed are increasing or decreasing any element by 1. Let me start by understanding the problem step by step.
First, the median of an array is ... |
[
{
"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... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 323 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | import sys
def count_consecutive_duplicates(s, queries):
def count_duplicates(substring):
count = 0
for i in range(len(substring) - 1):
if substring[i] == substring[i + 1]:
count += 1
return count
results = []
for l, r in queries:
substring = s[l... |
[
{
"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"
}
] | {
"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 see. First, I should try to understand the pattern here. The terms are alternating in sign, starting with positive for 2³, then negative for 1³, positive for 4³, negative for 3³, and so on. So, each pair... |
[
{
"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
} | <think>
Okay, so I need to solve this problem where we have a set of integers and we perform operations on it: insert, remove, and query the k-load. The k-load is the smallest positive integer d such that the interval [d, d + k - 1] is not covered by any elements in the set.
First, let me understand the problem bette... |
[
{
"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 solve this problem where we have a strip divided into cells numbered from 0 to 10^18. Initially, all cells are white. We need to paint some cells black. The cells to be painted are given in a list, and we can also optionally paint one more cell that's not in the list. The goal is to find the ... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 359 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where QED has a permutation and a string with Ls and Rs. He can perform certain swap operations on the permutation based on the characters in the string. The goal is to check after each query if the permutation can be sorted in non-decreasing order. Let me break this down s... |
[
{
"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... | {
"do_sample": false,
"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, so I need to find the value of y, which is the percentage of iron in the sample by weight. The problem gives me a sample of 5.6 g containing iron, which is dissolved in cold dilute HCl to make 250 mL of solution. Then, titrating 25.0 mL of that solution with 0.03 M KMnO4 requires 12.5 mL to reach the endp... |
[
{
"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 2xN grid with some cells blocked. The task is to find how many cells, when blocked, will result in exactly 3 connected regions. Each region must consist of only free cells, and they need to be connected.
First, let me try to understand the problem step by ... |
[
{
"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... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 96 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine which molecular mechanism is responsible for less prominent phenotypic consequences of Klinefelter's syndrome compared to Down's syndrome, we need to analyze the given options and their implications.
First, Klinefelter's syndrome is caused by an extra X chromosome in males (usually XXY), whereas Down's sy... |
[
{
"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 if 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 game involves performing n-1 operations where each time we choose an index k such that s[k] ≠ s[k+1] and replace s[k:k+2] with r[i]. If we can do this for al... |
[
{
"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 | 375 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, let me try to figure out this problem. So, the task is to determine if we can make a number divisible by 9 by squaring some of its digits. The catch is that when we square a digit, it has to result in a single digit. So, squaring 2 gives 4, which is still a single digit, but squaring 3 gives 9, which 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... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 429 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, so I need to create a Python function that transforms a given permutation A into the sequence (1,2,...,N) by swapping elements. The function should output the number of swaps needed and the pairs of indices swapped each time. Let me think through this step by step.
First, the problem states that we ca... |
[
{
"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... | {
"do_sample": true,
"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 says that The Daily Planet's rate for one agate line of print is $4. It has a circulation of 2 million. We need to find the millinerate. Hmm, wait, what exactly is a millinerate? I think it's the cost per thousand people or something like that? Let me recall. Maybe it's the rate per... |
[
{
"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>
Alright, let's tackle this problem. So, we have a tree with n nodes, each having a value constraint between l_i and r_i. We need to make all the node values equal with the minimum possible value by performing operations where we can choose two nodes u and v, and increase all nodes in the subtree of v by 1, cons... |
[
{
"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 whether the Sheriff can avoid losing the game when the targets are restricted to a certain range [l, r]. The problem is a bit complex because it involves two players (Robin Hood and the Sheriff) taking turns to shoot targets, each wanting to maximize their score. The key is to dete... |
[
{
"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 interacts with a tree in the forest. There are two types of queries: one that flips the weights of all edges using a bitwise XOR with some integer y, and another that adds a new edge from a vertex v to another vertex u (mentally) and then finds the maximum XOR c... |
[
{
"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... | {
"do_sample": false,
"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. Let me try to understand the problem first.
The operation allows me to choose an index i (from 0 to n-2) where the element at i is less than or equal to the element at i+1. Then... |
[
{
"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 of a box. The problem gives me the vector field F = sin(πx)i + (zy³)j + (z² + 4x)k, and the box is bounded by -1 ≤ x ≤ 2, 0 ≤ y ≤ 1, and 1 ≤ z ≤ 4. They mentioned using the divergence theorem, so I should probably start 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": 0,
"temperature": 0.7
} | 0 | 178 | CodeForces | {
"expected_answer": "",
"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. The operation allowed is selecting a non-empty subsequence where any two adjacent characters are different, then flipping all characters in that subsequence. Hmm, interesting. Let me try to ... |
[
{
"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... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 38 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let me try to figure out the value of 'a' here. So, the problem is about a large number of particles moving along a tube, and their wave function is given as (a / sqrt(1 + x)) - 0.5i. They mentioned that when measuring the positions, none were found at x < 1 or x > 3, so the particles are only between 1 a... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 202 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have to find the latest time I can leave home (intersection 1) to have time for a phone call (from t1 to t2) and still make it to an event at intersection n by t0. If it's impossible, return -1. Let me try to break this down step by step.
First, let me parse the pr... |
[
{
"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... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 300 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out what the marginal revenue (MR) curve looks like for a monopoly with a straight, downward-sloping demand curve. Hmm, let me start by recalling some basic principles of microeconomics.
First, I remember that for a monopolist, the demand curve is downward sloping because as they incr... |
[
{
"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:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 325 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how many cylindrical beakers it will take to fill a spherical tank. Let me start by writing down what I know.
First, the beaker is a cylinder with a height of 8 cm and a radius of 3 cm. The tank is a sphere with a radius of 6 cm. The question is asking for the number of beakers re... |
[
{
"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 | 340 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how many ways Bob can win the Bit Game when the number of stones in each pile isn't fixed. The game is similar to the classic Nim game but with a twist where you can only remove a number of stones that is ANDed with the current number of stones in the pile. The player who can't mak... |
[
{
"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 $N \\rightarrow P+Q$, ... | {
"do_sample": false,
"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>
Alright, let me try to figure out this problem step by step. So, we have a heavy nucleus N at rest that undergoes fission, breaking into two lighter nuclei P and Q. The given parameters are the masses of N, P, Q, and their kinetic energies E_P and E_Q. We also have the speeds v_P and v_Q. The question is asking... |
[
{
"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... | {
"do_sample": false,
"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. The question is asking which of the given statements A, B, C, D are false. I need to analyze each statement carefully, understand the concepts involved, and verify their validity. Let me start with each statement one by one.
**Statement A:** $\arg(-1 - i) = \frac{\... |
[
{
"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] ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 97 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to write a function that takes a 2D integer array called nums, where each element is [start_i, end_i], and returns the number of integer points on the number line that are covered by any car. The cars are parked from start_i to end_i, inclusive.
First, I should understand what exactly is being... |
[
{
"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... | {
"do_sample": false,
"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 find the frequency of beats heard by the stationary man when the two walking men are 10 meters apart. Let me start by visualizing the problem. There are two men walking in the same direction, with the front man at a speed of 1.0 m/s and the back man at 2.0 m/s. There's a third man standing 12... |
[
{
"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 | 114 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the minimum number of operations required to make a given tree "wonderful." Let me start by understanding the problem.
A tree is called wonderful if for every vertex v (except the root, since it's rooted at 1), the value a_v is less than or equal to the sum of the values of its di... |
[
{
"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^{\\... | {
"do_sample": false,
"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, so I need to figure out this problem where p, q, r are nonzero real numbers that are the 10th, 100th, and 1000th terms of a harmonic progression. Then there's a system of linear equations, and I have to match the conditions (I), (II), (III), (IV) with the respective outcomes (P), (Q), (R), (S), (T). The c... |
[
{
"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) ... | {
"do_sample": false,
"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 compounds, when they undergo hydrolysis, release oxygen gas. Let me recall what hydrolysis is. Hydrolysis is the breakdown of a compound using water, usually resulting in the formation of simpler compounds. In this case, we want one of the products to be oxygen gas. ... |
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Okay, so I need to figure out how to split an array into segments such that the bitwise OR of each segment is non-decreasing. Then, count the number of ways to do this. The problem gives constraints up to n=200,000, so brute force might not work. Hmm, maybe divide and conquer?
First, let me understand the prob... |
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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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Alright, so I need to solve this problem where I have a strip of cells with numbers and directions 'L' or 'R'. The goal is to maximize the score by choosing segments [l, r] where s_l is 'L' and s_r is 'R'. Then, I add the sum of the numbers from l to r and turn all the s_i in that segment to '.'.
First, let m... |
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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 I have an array of integers, and I need to find the maximum number of non-overlapping segments (subarrays) such that each segment sums to zero. Let me try to break this down step by step.
First, the problem mentions that each segment [l, r] is considered beautiful if... |
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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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Okay, so I need to create a function that finds the maximum distance between two prime numbers in an integer array. Let me think step by step.
First, the problem says that the array can be up to 300,000 elements long, and each element is between 1 and 100. Also, there's at least one prime number in the array. ... |
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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 figure out whether a permutation exists for a given string where certain positions have restrictions on the permutation's elements. The string consists of characters 'p', 's', and '.', where 'p' requires the first i elements to form a permutation, 's' requires the remaining elements from i+1 ... |
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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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"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, so I have this problem about triangle XYZ. Let me try to parse through it step by step. The problem states:
In a triangle \( X Y Z \), let \( x, y, z \) be the lengths of sides opposite to the angles \( X, Y, Z \), respectively, and \( 2 s = x + y + z \). If \( \frac{s - x}{4} = \frac{s - y}{3} = \frac{s... |
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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",
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"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Alright, let me try to figure out which of these statements are true. Okay, starting with statement A: Monosaccharides cannot be hydrolysed to give polyhydroxy aldehydes and ketones. Hmm, wait, monosaccharides are simple sugars, right? They are the simplest form of carbohydrates. Hydrolysis usually breaks down ... |
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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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} | To determine the legal relationship between the boss and the employee, we need to analyze whether the boss's promise to provide lifetime employment constitutes a valid contract.
Key points to consider:
1. **Consideration**: A contract requires mutual consideration. The employee provided emergency CPR, which was presu... |
[
{
"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 the minimum number of pieces to cut a binary string into so that the pieces can be rearranged to form a sorted binary string. Hmm. Let me start by understanding the problem better.
First, a sorted binary string is one where all the 0s come before all the 1s. So, if I have a string... |
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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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} | 1 | 233 | CodeForces | {
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} | <think>
Alright, so I need to solve this problem where there are n+2 coffee machines in a row, and initially, there are a_i students around the i-th coffee machine (from i=1 to n). The task is to determine, for each coffee machine (from 1 to n), the maximum number of students that can be gathered around it by turning o... |
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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 integer N such that if any one of its digits is changed to 1, the resulting number is divisible by 7. Then, I have to divide N by 1000 and find the sum of the quotient Q and the remainder R. Hmm, let's break this down step by step.
First, let's understand the pro... |
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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, so I need to figure out this sequence problem. Let me read the problem again to make sure I understand it correctly.
The sequence starts with 0. Then each subsequent term is produced by alternately adding and multiplying by the next integer starting from 1. So, the second term is add 1, the third term is... |
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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. Let me start by understanding the requirements again. The function needs to take an integer array `nums`, and two positive integers `m` and `k`. The goal is to find the maximum sum of a subarray of length `k` that has at least `m` distinct elements. If no... |
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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,
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} | 1 | 427 | CodeForces | {
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} | <think>
Alright, so I need to solve this problem where we have families traveling to Pénjamo on a bus with r rows and 2 seats per row. Each family has a certain number of members, and we need to arrange them to maximize the number of happy people. A person is happy if they're either seated with another family member 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 the ... | {
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"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 237 | 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 there's a building with n floors, and people are launching paper airplanes. The goal is to find the number of ways to fill in the gaps (which floors launched which airplanes) so that the total number of airplanes launched is m, with at least c airplanes seen by each p... |
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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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} | 1 | 54 | LiveCodeBench | {
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"problem_id": "",
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"subject": null,
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} | <think>
Alright, so I need to figure out how to solve this problem. The question is asking for the total number of continuous subarrays in a given integer array `nums` where the difference between any two elements in the subarray is at most 2.
First, let me restate the problem to make sure I understand it correctly. ... |
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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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} | 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 \(6m_2 + 4n_2 + 8m_2n_2\), where \(m_2\) and \(n_2\) are the number of points of local minima and local maxima of the function \(f_2\) in the interval \((0, \infty)\). The function \(f_2\) is given as \(98(x-1)^{50} - 600(x-1)^{49} + 2450\).
... |
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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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} | <think>
Okay, so I need to figure out what percentage of the world population lived in extreme poverty in 2019. The options given are A. 35%, B. 10%, C. 50%, D. 45%, E. 5%, F. 20%, G. 15%, H. 25%, I. 40%, J. 30%. Hmm, let me think.
First, I remember that extreme poverty is defined as living on less than $1.90 per day.... |
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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: 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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} | 1 | 54 | GPQADiamond | {
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Alright, let me try to figure out which compound this NMR spectrum corresponds to. The problem gives me the 1H NMR data with specific chemical shifts and couplings, and I need to choose between four possible compounds: Cis-propenyl acetate, Trans-propenyl acetate, Cis-butenyl acetate, or Trans-butenyl acetate. ... |
[
{
"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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} | 2 | 333 | CodeForces | {
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} | <think>
Okay, so I need to solve this problem where I have a grid of non-negative integers, and I need to go from the top-left cell to the bottom-right cell by moving right or down. Before moving, I can perform any number of row cyclic shifts. Each shift costs k, and then the total cost is k times the number of shifts ... |
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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 | 167 | CodeForces | {
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"problem_id": "",
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} | <think>
Okay, so I need to solve this problem where we have an array of n elements, all initially zero, and q queries. Each query gives two indices, x_i and y_i, and we have to choose either x_i or y_i, and add or subtract 1 to that element. After each query, all elements must be non-negative. The goal is to process al... |
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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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} | <think>
Okay, let's tackle this problem step by step. First, I need to understand what each part is asking. The question mentions that compounds can be isomers, either constitutional or stereoisomers. Then it asks about two specific pairs of compounds and their behaviors: tautomerism and optical isomerism.
Starting wi... |
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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 solve this problem where I have a string `s` that consists of lowercase letters and some question marks. Then there's another string `t` which should be a subsequence of `s` after replacing the question marks with lowercase letters. The goal is to figure out if such a substitution is possible... |
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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": "",
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} | <think>
Alright, let's tackle this problem. It's a bit complex, but I'll try to break it down step by step. The problem is about a tree with n vertices and m queries. There are two types of queries: one that flips the weight of all edges using a bitwise XOR with a given number y, and another that adds a new edge from a... |
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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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"seed": 1,
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} | 1 | 138 | LiveCodeBench | {
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"problem_id": "",
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} | <think>
Alright, so I need to figure out how to solve this problem. Let me start by understanding what exactly is being asked here. The task is to find the number of non-empty beautiful substrings in a given string `s` where a beautiful substring has an equal number of vowels and consonants, and the product of the numb... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print 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,
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} | <think>
Okay, so I need to figure out how to maximize the largest connected component of '#' cells in a grid by performing at most one operation, which is selecting a row or a column and setting all cells in that row or column to '#'. Let me break this down step by step.
First, let's understand the problem. We have an... |
[
{
"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,
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} | <think>
Okay, so I need to figure out which of these options describes an ideal solution. Hmm, let me start by recalling what an ideal solution is. From my chemistry class, I remember that an ideal solution is one where the interactions between the molecules of the solute and the solvent are similar to those between 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 ... | {
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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>
Alright, so I need to figure out if each impression is unique or not based on the given ranges. Let me try to break down the problem step by step.
First, the problem states that for each test case, we have multiple impressions, each with a range of possible values they can take. We need to determine if each im... |
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{
"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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"max_new_tokens": 32768,
"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 see. I need to find the ratio T_A / T_B where T_A is the initial temperature for an adiabatic expansion to final state (T_f, 5V_0) and T_B is the initial temperature for an isothermal expansion to the same final state. The ratio of specific heats is γ. Hmm.
First, let me recall the equations for ad... |
[
{
"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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} | 0 | 402 | MMLUPro | {
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} | <think>
Okay, so I need to find the boiling point of water at the top of Mt. Everest, which is 8848 meters high. The normal boiling point of water is 373.12 K, and the barometric pressure there is 253 Torr. The given ΔH_vaporization is 40.656 kJ/mol. Hmm, let's think about how to approach this.
First, I remember 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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"max_new_tokens": 32768,
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} | <think>
Okay, so I need to figure out the maximum number of points Kevin can earn by rearranging the integers. Let me start by understanding the problem step by step.
First, the problem says that for each integer \( a_i \), we add it to a sum \( s \). If \( s \) becomes even, Kevin earns a point and keeps dividing \( ... |
[
{
"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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} | 2 | 104 | CodeForces | {
"expected_answer": "",
"problem_id": "",
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"subject": null,
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} | <think>
Okay, so I need to solve this problem where I have a 2xN matrix, and I can swap any two columns any number of times. Then, I have to find the maximum possible cost of a path from the top-left cell (1,1) to the bottom-right cell (2,N). The cost is the sum of all cells visited, including the starting and ending c... |
[
{
"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... | {
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"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 probability of 60% and beta-decay with a probability of 40%. Initially, there are 1000 nuclei of Q. The question is asking for the number of alpha-decays of Q ... |
[
{
"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 ... | {
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} | 1 | 172 | LiveCodeBench | {
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} | <think>
Alright, so I need to figure out the longest special substring in a given string `s` that occurs at least three times. A special substring is one that's made up of a single character. Let me break this down step by step.
First, I understand that special substrings are those that consist of only one unique char... |
[
{
"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
} | Okay, so I need to write a program that figures out which restaurant I should go to on Friday based on the ones I've already visited from Monday to Thursday. Each day I visited a different restaurant, and all five restaurants are numbered 1 through 5. The problem is essentially asking for the remaining restaurant that ... |
[
{
"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 find the value of 14p, where p is the probability that the perfect square obtained from rolling two fair dice is an odd number. The process of rolling the dice continues until either a prime number or a perfect square is obtained, and it's given that the perfect square comes before the prime ... |
[
{
"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>
Alright, so I need to figure out the minimum number of operations to make num1 equal to 0 by subtracting (2^i + num2) from num1 for each operation. If it's impossible, return -1. Let me break this down step by step.
First, let's understand the operation: in each step, we choose an integer i between 0 and 60 (i... |
[
{
"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, so I have this matrix M and its adjugate, adj M. The problem is asking which of the four options are correct. Let me go through each one step by step.
First, let me recall some linear algebra concepts. The adjugate of a matrix M, denoted adj M, is the transpose of the cofactor matrix of M. For a 3x3 mat... |
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