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: In an experiment, compound X (C11H12O) was subjected to a reaction with 1,4-diazabicyclo[2.2.2]octane in nonpolar solvent at a temperature of 403 K for a duration of 1 d... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 78 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which compound X is, based on the 1H and 13C NMR spectra given. The options are A, B, C, or D. Let me start by recalling what each NMR signal represents and then analyze the patterns provided.
First, the 1H NMR signals. The spectrum shows several peaks: δ 2.28 and 2.31 (both 3H, s... |
[
{
"content": "Problem: Among the 900 residents of Aimeville, there are 195 who own a diamond ring, 367 who own a set of golf clubs, and 562 who own a garden spade. In addition, each of the 900 residents owns a bag of candy hearts. There are 437 residents who own exactly two of these things, and 234 residents wh... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 9,
"temperature": 0.7
} | 9 | 0 | AIME24 | {
"expected_answer": "73",
"problem_id": "aime24-0",
"reference_solution": "Let $w,x,y,z$ denote the number of residents who own 1,2,3 and 4 of these items, respectively. We know $w+x+y+z=900$ , since there are 900 residents in total. This simplifies to $w+z=229$ , since we know $x=437$ and $y=234$ . Now, w... | <think>
Okay, so I need to find the number of residents in Aimeville who own all four things: a diamond ring, a set of golf clubs, a garden spade, and a bag of candy hearts. The problem gives me the total number of residents, which is 900. It also tells me how many residents own each of the four items individually: 195... |
[
{
"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 EXO product of the following [4+2] cycloaddition reaction.\n2,5-dimethylthiophene + Furan-2,5-dione + Heat ---> ?\nOptions: A) (3aR,4S,7R,7aS)-4,7-dimethyl-... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 32 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the product of a [4+2] cycloaddition reaction between 2,5-dimethylthiophene and furan-2,5-dione when heated. Hmm, let me start by recalling what a [4+2] cycloaddition is. It's a type of pericyclic reaction where two components combine with the addition of four electrons from one co... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.We have N cups of ice cream.\r\nThe flavor and deliciousness of the i-th cup are F_i and S_i, respectively (S_i is an ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 266 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to find the maximum satisfaction achievable by choosing and eating two ice cream cups. The satisfaction depends on whether the two cups have the same flavor or different flavors. If they have the same flavor, we add the deliciousness of both and half of the smaller one's deliciousness 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 | 267 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to create a Python program that generates a beautiful array for A-Ming's birthday present. The array has to have a mean of a and a median of b. Let me start by understanding the problem step by step.
First, the mean of the array is given by the sum of all elements divided by the number of eleme... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a string S of length 16 consisting of 0 and 1.\nIf the i-th character of S is 0 for every even number i ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 294 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | ```python
def check_string():
import sys
def is_zero_for_even_indices(s):
# Check every even index starting from 2 (which is the 3rd character)
for i in range(2, 16, 2):
if s[i] != '0':
return False
return True
def main():
s = sys.stdin.read().st... |
[
{
"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 | 201 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have a bunch of segments, and I need to find the maximum size of a complex subset of these segments. A complex subset is one where all the subsets have the same size, and any two segments in the same subset intersect. If I remember correctly, this is similar to a gr... |
[
{
"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 rocket is launched normal to the surface of the Earth, away from the Su... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 96 | JEEBench | {
"expected_answer": "B",
"problem_id": "6",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, so I need to find the minimum initial velocity required for a rocket launched from the Earth's surface, moving along the line joining the Sun and the Earth, to escape the Sun-Earth system. The problem gives some key data: the Sun is 3×10⁵ times heavier than the Earth, the distance from the Sun to the Eart... |
[
{
"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 | 115 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, let's tackle this problem. So, we need to find a non-empty substring of the given string such that the number of distinct non-empty substrings of this chosen substring is even. If such a substring doesn't exist, we have to return -1.
First, let me try to understand what the function f(p) represents. ... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 118 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, so I need to solve this problem where we have a permutation of numbers from 1 to n, and a string with characters L, R, or ?, and we need to add edges to the graph based on these characters. The goal is to find the maximum possible diameter of a connected graph we can form. If it's impossible, return -1... |
[
{
"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 deficiency of which vitamin has been associated with enamel defects and increased risk of dental caries?\n \nOptions: A. Vitamin E, B. Vitamin C, C... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 375 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine which vitamin deficiency is associated with enamel defects and an increased risk of dental caries, I need to recall the roles of different vitamins in oral health.
1. **Vitamin E**: This is an antioxidant, but I don't recall its direct role in enamel formation or caries prevention.
2. **Vitamin C**: This ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 1-indexed integer array nums of length n.\nAn element nums[i] of nums is called special if i divides n, i.e. n % i == 0.\nReturn the sum of the... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 42 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to create a Python function that takes a list of integers called `nums` and returns the sum of the squares of the special elements. A special element is one where its index divides the length of the list. Let me try to break this down step by step.
First, let's make sure I understand the proble... |
[
{
"content": "Problem: Find the number of rectangles that can be formed inside a fixed regular dodecagon ( $12$ -gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. The diagram below shows three of those rectangles. [asy] unitsize(0.6 inch); for(int i=0; i<360; i+=30) { d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 14 | AIME24 | {
"expected_answer": "315",
"problem_id": "aime24-14",
"reference_solution": "By Furaken There are two kinds of such rectangles: those whose sides are parallel to some edges of the regular 12-gon (Case 1), and those whose sides are not (Case 2). For Case 1, WLOG assume that the rectangle's sides are horizontal an... | <think>
Okay, so I need to find the number of rectangles that can be formed inside a regular dodecagon (12-gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. Hmm, let me start by understanding the problem.
First, a regular dodecagon has 12 sides, all of equal length, and each i... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 191 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to solve this problem. Let me start by understanding the game and the conditions for Aron's win.
The problem is about a game played on a tree with n vertices. The caterpillar is initially positioned at a pair of vertices (p, q), with p and q being different. The game is playe... |
[
{
"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 | 421 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out if the first player can win the Game of Division. Let me start by understanding the problem step by step.
First, the game is between two players: the first player and the second player. They have an array of integers and a number k. The first player picks an index, then the second... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: The least value of $\\alpha \\in \\mathbb{R}$ for which $4 \\alpha x^{2}+... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 28 | JEEBench | {
"expected_answer": "C",
"problem_id": "41",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | <think>
Okay, so I need to find the least value of α (alpha) in real numbers such that the inequality 4αx² + 1/x ≥ 1 holds for all x > 0. Let me think about how to approach this.
First, the problem states that this inequality must be true for all positive x. That means no matter what positive x we choose, the left-han... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A methanol solution of (R)-(+)-Limonene is stirred with Pd/C under a Hydrogen atmosphere. After 1 equivalent of hydrogen is consumed, product 1 is isolated as the major ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 12 | 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 start with a solution of (R)-(+)-Limonene, which is a chiral compound. Then it's stirred with Pd/C under hydrogen atmosphere. The goal is to convert it into product 1 after 1 equivalent of hydrogen is consumed. Then product 1 is treated with 3-... |
[
{
"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": 0,
"temperature": 0.7
} | 0 | 323 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to create a Python function that answers these queries about a string. The problem is about counting the number of consecutive duplicate characters in a substring. Let me break this down step by step.
First, the main function will take the input string S and a list of queries. Each query is a p... |
[
{
"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 compound. To identify the product, you have used the following characterisation techniques: FTIR and 1H NMR. The FTIR spectrum shows a very ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 98 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out which compound we have here. The problem says we have an unknown compound and we've used FTIR and 1H NMR to characterize it. The FTIR spectrum has a very broad peak at 3000 wavenumbers and a strong peak at 1700. The 1H NMR has some complex signals, including a doublet of triplets o... |
[
{
"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 of integers nums, and an integer target.\nReturn the length of the longest subsequence of nums that sums up to target. If no su... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 109 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the length of the longest subsequence in `nums` that sums up to `target`. If no such subsequence exists, return -1. Hmm, let's start by understanding the problem.
First, a subsequence doesn't have to be contiguous, right? So, it's about selecting elements from `nums` in order, but... |
[
{
"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 sales tax that you pay at the grocery store is commonly labeled a\nOptions: A. direct tax., B. indirect tax., C. flat tax., D. luxury tax., E. ad... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 272 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out what type of tax the sales tax you pay at the grocery store is. Let me think. The options given are A. direct tax., B. indirect tax., C. flat tax., D. luxury tax., E. ad valorem tax., F. inheritance tax., G. progressive tax., H. proportional tax., I. excise tax., J. regressive tax.... |
[
{
"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 | 212 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how many ways Suneet can win the game given the cards each player has. Let me start by understanding the problem step by step.
First, each player has two cards with values between 1 and 10. The game has two rounds, and in each round, both players pick one of their two cards to com... |
[
{
"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 0-indexed strings source and target, both of length n and consisting of lowercase English letters. You are also given two 0-indexed character... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 156 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the minimum cost to convert the source string into the target string using the given original, changed, and cost arrays. Let me start by understanding the problem step by step.
First, the source and target strings are both of length n, and they consist of lowercase English letters... |
[
{
"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: Fusion of $\\mathrm{MnO}_{2}$ with $\\mathrm{KOH}$ in presence of $\\m... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 191 | JEEBench | {
"expected_answer": "ABD",
"problem_id": "24",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, let's try to tackle this problem step by step. First, I need to understand what each part of the problem is asking and figure out the correct statements among the options given.
The problem starts by describing a chemical process: fusing $\mathrm{MnO}_2$ with $\mathrm{KOH}$ in the presence of $\mathrm{O}... |
[
{
"content": "Problem: Find the number of rectangles that can be formed inside a fixed regular dodecagon ( $12$ -gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. The diagram below shows three of those rectangles. [asy] unitsize(0.6 inch); for(int i=0; i<360; i+=30) { d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 3,
"temperature": 0.7
} | 3 | 14 | AIME24 | {
"expected_answer": "315",
"problem_id": "aime24-14",
"reference_solution": "By Furaken There are two kinds of such rectangles: those whose sides are parallel to some edges of the regular 12-gon (Case 1), and those whose sides are not (Case 2). For Case 1, WLOG assume that the rectangle's sides are horizontal an... | <think>
Okay, so I need to find the number of rectangles that can be formed inside a regular dodecagon (12-gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. Hmm, let's start by understanding the problem.
First, a regular dodecagon has 12 sides, all of equal length, and each in... |
[
{
"content": "Problem: The weight of $\\frac{1}{3}$ of a large pizza together with $3 \\frac{1}{2}$ cups of orange slices is the same as the weight of $\\frac{3}{4}$ of a large pizza together with $\\frac{1}{2}$ cup of orange slices. A cup of orange slices weighs $\\frac{1}{4}$ of a pound. What is the weight, i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 9 | AMC23 | {
"expected_answer": "4",
"problem_id": "11",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the weight of a large pizza. The problem says that 1/3 of a large pizza plus 3 1/2 cups of orange slices is the same as 3/4 of a large pizza plus 1/2 cup of orange slices. And each cup of orange slices is 1/4 pound. Hmm, let me try to write this out step by step.
First, let me convert t... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: In a triangle $A B C$, let $A B=\\sqrt{23}, B C=3$ and $C A=4$. Then what is the value of\n\\[\n\\frac{\\cot A... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 341 | JEEBench | {
"expected_answer": "2",
"problem_id": "54",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | <think>
Okay, so I need to find the value of (cot A + cot C) divided by cot B in triangle ABC where AB = √23, BC = 3, and CA = 4. Hmm, let's start by recalling some trigonometric identities related to cotangents in a triangle. I remember that in any triangle, the sum of the angles is π radians, but I'm not sure if that... |
[
{
"content": "Problem: When converting $\\frac{31}{11111}$ to a decimal, the decimal turns out to be a repeating decimal. How many digits repeat in this repeating decimal?\n\nFor example, if you get the repeating decimal $0.\\overline{123},$ then your answer should be $3,$ and if you get $0.436\\overline{7},$ y... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 302 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how many digits repeat when I convert 31/11111 to a decimal. Hmm, let me start by recalling that converting a fraction to a decimal often results in a repeating sequence if the denominator isn't a power of 10. Since 11111 isn't a power of 10, this fraction should have a repeating d... |
[
{
"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: Dissolving $1.24 \\mathrm{~g}$ of white phosphorous in boiling... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 404 | JEEBench | {
"expected_answer": "2.38",
"problem_id": "41",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's try to figure out this problem step by step. So, we have 1.24 grams of white phosphorus dissolved in a boiling NaOH solution in an inert atmosphere, which produces a gas Q. Then we need to find out how much CuSO₄ (in grams) is required to completely consume this gas Q. Alright, let's break this down... |
[
{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: The crystalline form of borax has\n(A) tetranuclear $\\left[\\mathrm{B... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 18 | JEEBench | {
"expected_answer": "ACD",
"problem_id": "26",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, so I need to figure out the correct statements about the crystalline form of borax. Let me start by recalling what borax is. Borax, also known as sodium tetraborate, has the chemical formula Na2B4O7·10H2O. It's a white crystalline compound commonly used in cleaning products and as a flux in metallurgy. Bu... |
[
{
"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: In a historical experiment to determine Planck's constant, a metal surfac... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 0 | JEEBench | {
"expected_answer": "B",
"problem_id": "1",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, so I need to find Planck's constant using the data provided. Let me recall the relevant equation. I think it's related to the photoelectric effect, right? The one that connects the stopping voltage with the frequency of the incident light.
The formula I remember is \( e V_0 = \frac{hc}{\lambda} \). Let ... |
[
{
"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: An ideal gas is expanded from $\\left(\\mathrm{p}_{1}, \\mathrm{~V}_{1... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 75 | JEEBench | {
"expected_answer": "ABC",
"problem_id": "19",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, let's try to figure out which of these statements are correct. The problem is about an ideal gas expanding from state (p1, V1, T1) to (p2, V2, T2) under different conditions. There are four options given, and we need to determine which ones are correct. Let me go through each one step by step.
Starting w... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: The value of $\\int_{-\\frac{\\pi}{2}}^{\\frac{\\pi}{2}} \\frac{x^{2} \\c... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 59 | JEEBench | {
"expected_answer": "A",
"problem_id": "40",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | <think>
Okay, so I need to solve this integral: the integral from -π/2 to π/2 of (x² cos x)/(1 + e^x) dx. Hmm, let's see. First, I remember that when dealing with integrals over symmetric intervals, especially around zero, symmetry might play a role. The limits here are from -π/2 to π/2, which is symmetric around zero.... |
[
{
"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 | 356 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where Dora has a matrix that's supposed to be filled with two colors using two brushes. The first brush can color a whole column, and the second can color a whole row. The matrix starts all zeros, and Dora wants to know the expected beauty of the matrix, which is the number... |
[
{
"content": "Problem: Let $ABC$ be a triangle inscribed in circle $\\omega$ . Let the tangents to $\\omega$ at $B$ and $C$ intersect at point $D$ , and let $\\overline{AD}$ intersect $\\omega$ at $P$ . If $AB=5$ , $BC=9$ , and $AC=10$ , $AP$ can be written as the form $\\frac{m}{n}$ , wher... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 6,
"temperature": 0.7
} | 6 | 24 | AIME24 | {
"expected_answer": "113",
"problem_id": "aime24-24",
"reference_solution": "From the tangency condition we have $\\let\\angle BCD = \\let\\angle CBD = \\let\\angle A$ . With LoC we have $\\cos(A) = \\frac{25+100-81}{2*5*10} = \\frac{11}{25}$ and $\\cos(B) = \\frac{81+25-100}{2*9*5} = \\frac{1}{15}$ . Then, ... | <think>
Okay, so I need to solve this triangle problem where we have triangle ABC inscribed in a circle ω. The tangents at B and C intersect at point D, and then line AD intersects the circle again at point P. The lengths of AB, BC, and AC are given as 5, 9, and 10 respectively. I need to find the length of AP, which i... |
[
{
"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 a di-substituted 6-membered aromatic ring compound containing 8 carbon atoms in total. Peaks in the FTIR spectrum of this compound indicate the presenc... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 86 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, let me try to figure out this problem. So, we have a di-substituted 6-membered aromatic ring compound with 8 carbon atoms in total. The FTIR spectrum shows a carbonyl group and an aromatic-halogen bond. We need to identify the correct 1H NMR data from the given options.
First, let's visualize the comp... |
[
{
"content": "Problem: A rectangular box $P$ has distinct edge lengths $a$, $b$, and $c$. The sum of the lengths of all $12$ edges of $P$ is $13$, the areas of all $6$ faces of $P$ is $\\frac{11}{2}$, and the volume of $P$ is $\\frac{1}{2}$. Find the length of the longest interior diagonal connecting two vertic... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 26 | AMC23 | {
"expected_answer": "13",
"problem_id": "29",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem about a rectangular box with distinct edges a, b, and c. Let me read through the problem again to make sure I understand all the given information.
First, the sum of the lengths of all 12 edges is 13. Since a rectangular box has 12 edges (4 edges of length a, 4 edges of le... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 189 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where Iris is looking at stars in a row and trying to calculate her lucky value based on some rules. The problem is a bit complex, but let me try to break it down step by step.
First, let me restate the problem in my own words. There are n stars arranged in a row. Iris has... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 361 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out whether a given subarray is "orangutan-approved". The problem is a bit abstract, but let me try to parse it step by step.
First, the definition: An array is orangutan-approved if you can empty it by repeatedly selecting a subarray that has all elements equal to some value present ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Two quantum states with energies E1 and E2 have a lifetime of 10^-9 sec and 10^-8 sec, respectively. We want to clearly distinguish these two energy levels. Which one of... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 0 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which energy difference would allow two quantum states with different lifetimes to be clearly resolved. The given lifetimes are 10^-9 sec and 10^-8 sec. The options for the energy difference are 10^-8 eV, 10^-11 eV, 10^-9 eV, and 10^-4 eV. Hmm, let me recall how energy levels and l... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is an ultramarathon course totaling 100\\;\\mathrm{km}.\r\nWater stations are set up every 5\\;\\mathrm{km} alon... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 212 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | def nearest_water_station():
N = int(input())
nearest = N - N % 5 if N % 5 < 5 else N + 5 - N % 5
if nearest - N < N - (nearest - 5) if nearest - 5 > 0 else N - nearest:
if nearest - 5 > 0:
print(nearest)
else:
print(nearest - 5)
else:
print(nearest - 5)
... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: Which one of following statements about nitrogen balance is correct?\n\nOptions: A. Positive nitrogen balance means that there is a net loss of prote... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 1 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which statement about nitrogen balance is correct. Let me start by recalling what nitrogen balance means. From what I remember, nitrogen balance is the difference between the amount of nitrogen the body takes in and the amount it excretes. If the body is taking in more nitrogen tha... |
[
{
"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.\r\nFind the maximum length of a contiguous substring of S that is a palindrome.\r\nNote that... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 280 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | import sys
def find_max_palindrome_length():
S = input().strip()
n = len(S)
max_length = 1
for i in range(n):
for j in range(i + 1, n + 1):
substring = S[i:j]
if substring == substring[::-1] and len(substring) > max_length:
max_length = len(substring)
... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are N rectangular sheets spread out on a coordinate plane.\nEach side of the rectangular region covered by each ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 271 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, so I need to write a Python function that calculates the total area covered by multiple rectangular sheets on a coordinate plane. Each sheet is defined by its own set of coordinates (A_i, B_i, C_i, D_i), which are the bounds for x and y. The challenge is to find the total area that's overlapping or cov... |
[
{
"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 | 42 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, so I need to figure out if it's possible for Little Nikita to build a tower with exactly m cubes after n moves. Each move, he can either add or remove one cube. Let me start by understanding the problem step by step.
First, let's parse the question. The tower starts with zero cubes. Each move, Nikita ... |
[
{
"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 | 44 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to help Narek create a string of length n using only the vowels a, e, i, o, u. The goal is to minimize the number of palindrome subsequences in the string. Hmm, interesting. Let me try to break this down step by step.
First, let's understand what a subsequence is. A subsequence is a sequence th... |
[
{
"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, which is known to be a concatenation of anagrams of some string t.\nReturn the minimum possible length of the string t.\nAn anagram i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 494 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the minimum possible length of the string t such that s is a concatenation of anagrams of t. Hmm, let me think.
First, let's parse the problem again. The string s is a concatenation of anagrams of some string t. That means if we take t and rearrange its letters, we can form several ana... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: An ideal gas is in thermodynamic equilibrium. The number of degrees of fr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 502 | JEEBench | {
"expected_answer": "C",
"problem_id": "21",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, so I need to figure out which of these options is correct based on the given information about an ideal gas in thermodynamic equilibrium. The problem mentions the number of degrees of freedom (n), the internal energy per mole (U_n), and the speed of sound (v_n). The question is asking about the relationsh... |
[
{
"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": 0,
"temperature": 0.7
} | 0 | 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 have this problem here about triangle ABC with an inradius that needs to be found. The problem mentions eight circles of radius 34 that are tangent to each other and two of them are tangent to sides AB and BC. Then, 2024 circles of radius 1 are arranged in the same way, and from that, we need to find... |
[
{
"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 | 232 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have a grid with some cells filled (marked with '.') and others free (marked with '#'). The task is to find a subset of the free cells such that every free cell is either in the subset or adjacent to a cell in the subset. Also, the size of this subset should be at m... |
[
{
"content": "Problem: There exist real numbers $x$ and $y$ , both greater than 1, such that $\\log_x\\left(y^x\\right)=\\log_y\\left(x^{4y}\\right)=10$ . Find $xy$ .\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 16 | AIME24 | {
"expected_answer": "25",
"problem_id": "aime24-16",
"reference_solution": "By properties of logarithms, we can simplify the given equation to $x\\log_xy=4y\\log_yx=10$ . Let us break this into two separate equations: \\[x\\log_xy=10\\] \n \\[4y\\log_yx=10.\\] \nWe multiply the two equations to get: \n \\[4xy\\... | <think>
Okay, so I need to solve this problem where there are real numbers x and y, both greater than 1, such that log base x of y^x equals log base y of x^(4y) equals 10. And I need to find xy. Hmm, let me start by writing down the equations given.
First, log_x(y^x) = 10. I remember that log_b(a^c) = c*log_b(a), so a... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given an integer N and strings R and C of length N consisting of A, B, and C. Solve the following problem.\nTh... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 314 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Here's the Python function to solve the problem. The function is designed to take input from stdin and print the output according to the specified format. It checks if it's possible to fill the N×N grid with characters A, B, C such that each row and column contains exactly one of each, and the leftmost and topmost 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 th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 85 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, so I need to figure out if a given number x can be expressed as the sum of two large positive integers with the same number of digits. Each large digit is between 5 and 9, inclusive. The problem gives me a range of 10 to 1e18 for x. Hmm, okay. Let's break this down step by step.
First, understanding w... |
[
{
"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 best conclusion that can be drawn about the four-day ( compressed) workweek is that it has:\nOptions: A. negative effects on productivity but lit... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 482 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To determine the best conclusion about the four-day (compressed) workweek, we need to consider the effects on both productivity and attitudes.
1. **Productivity**: Research on compressed workweeks, such as the four-day workweek, has shown mixed results. Some studies indicate that productivity can increase because empl... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There is an election to choose one winner from N candidates with candidate numbers 1, 2, \\ldots, N, and there have be... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 329 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | from collections import Counter
def determine_winner(N, M, votes):
def get_winner(counts):
max_count = max(counts.values())
min_candidate = min([c for c, count in counts.items() if count == max_count])
return min_candidate
result = []
counts = Counter()
for i, vote in enumerate... |
[
{
"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 | 122 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to minimize the health decrement when battling these monsters. The problem is presented as a tree with n vertices, each having a monster with a certain number of attack points. In each round, all living monsters attack me, and then I can choose to kill some monsters, but there'... |
[
{
"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 | 298 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, so I need to solve this problem where we have an array A of N integers and another array X of M integers. We need to find the number of pairs (u, v) where A is (X_u, X_v)-xorderable. The key here is to figure out for each pair (X_u, X_v), whether the array A can be rearranged such that for every i < j,... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Consider the region $R=\\left\\{(x, y) \\in \\mathbb{R} \\time... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 369 | JEEBench | {
"expected_answer": "2.00",
"problem_id": "44",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to find the value of α where the largest circle centered on the x-axis and contained within the region R meets the curve y² = 4 - x. Let me start by understanding the problem step by step.
First, the region R is defined as all points (x, y) where x is non-negative and y² is less than or equal t... |
[
{
"content": "Problem: Find the number of rectangles that can be formed inside a fixed regular dodecagon ( $12$ -gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. The diagram below shows three of those rectangles. [asy] unitsize(0.6 inch); for(int i=0; i<360; i+=30) { d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 6,
"temperature": 0.7
} | 6 | 14 | AIME24 | {
"expected_answer": "315",
"problem_id": "aime24-14",
"reference_solution": "By Furaken There are two kinds of such rectangles: those whose sides are parallel to some edges of the regular 12-gon (Case 1), and those whose sides are not (Case 2). For Case 1, WLOG assume that the rectangle's sides are horizontal an... | <think>
Okay, so I need to find the number of rectangles that can be formed inside a regular dodecagon (12-gon) where each side of the rectangle lies on either a side or a diagonal of the dodecagon. Hmm, let's start by understanding the problem.
First, a regular dodecagon has 12 sides, all of equal length, and each in... |
[
{
"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 k and an integer x.\nConsider s is the 1-indexed binary representation of an integer num. The price of a number num is the number of i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 159 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Alright, so I need to figure out this problem where given an integer k and x, I have to find the greatest integer num such that the sum of the prices of all numbers from 1 to num is less than or equal to k. The price of a number is the number of positions in its binary representation where the bit is set (i.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 ... | {
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Alright, so I need to solve this problem where there are two doctors: one serves patients in the order they arrived (a queue) and the other serves them in the reverse order (a stack). The goal is to check after each operation whether the current configuration of patients in the queue and stack is "good," meanin... |
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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 binary array and I need to find the sum of the medians of all possible subsequences of length k, then return that sum modulo 10^9 + 7. Let me try to break this down step by step.
First, let's understand the problem. We have a binary array (consisting of 0... |
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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 string s, a string a, a string b, and an integer k.\nAn index i is beautiful if:\n\n0 <= i <= s.length - a.length\ns[i..(i + a.length... | {
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Okay, so I need to create a function that finds all beautiful indices in the string `s` based on the given conditions. Let me try to break down the problem step by step.
First, let me restate the problem in my own words. We have a string `s`, and two other strings `a` and `b`, along with an integer `k`. An ind... |
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{
"content": "Problem: Two sides of a triangle are each $8$ units long. If the third side has a whole number length, what is the greatest possible perimeter, in units, for the triangle?\nMark your solution with \\boxed\nAnswer:",
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Okay, so I have this problem here: Two sides of a triangle are each 8 units long. The third side has a whole number length. What is the greatest possible perimeter for the triangle? Hmm, let me think. Alright, let's start by recalling some basics about triangles.
First off, a triangle has three sides, and 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... | {
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} | <think>
Alright, so I need to solve this problem where we have a rooted tree with n vertices, and we need to add exactly k edges to it. The goal is to minimize the number of bridges after adding these edges. A bridge is an edge whose removal increases the number of connected components. The problem asks for the smalles... |
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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 whether Bessie can win the race on each island starting position. The problem is a bit complex, but let me break it down step by step.
First, let me understand the problem again. We have n islands connected by main bridges and m alternative bridges. The main bridges connect each ... |
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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 many moves it will take for two teachers to catch David in a classroom with n cells. The problem is given for multiple test cases, each with different values for n, the teachers' starting positions, and David's positions for each query. The goal is to find the minimum number of... |
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"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A bus is in operation. The number of passengers on the bus is always a non-negative integer.\nAt some point in time, t... | {
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} | ```python
def minimum_passengers():
import sys
input = sys.stdin.read
data = input().split()
n = int(data[0])
a = list(map(int, data[1:n+1]))
current_passengers = 0
min_passengers = 0
for i in range(n):
current_passengers += a[i]
if current_passengers < min_passengers:
... |
[
{
"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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"problem_id": "",
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} | <think>
Alright, so I need to solve this problem where we have a canteen with a drink stall that needs to be run over n days, each day with m types of drinks. The goal is to maximize the total profit over these n days, with some constraints on how the drinks are selected each day.
First, let's parse the problem again... |
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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: (a) (z = 11) 1s^2 2s^2 2p^6, (b) (z = 25) 1s^2 2s^2 2p^6 3s^2 3p^6 3d^5, and (c) (z = 29) 1s^2 2s^2 2p^6 3s^2 3p^6 3d^10; provide the proper ionic sy... | {
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Okay, so I need to figure out the proper ionic symbols for these three elements based on their electron configurations. Let me start by recalling that when an atom becomes an ion, it either gains or loses electrons, which changes its charge. The key is to look at the electron configuration and see how many elec... |
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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: Consider an aperture, which shapes like a N-sided polygon. All the apothems are of the same length a. When a monochromatic light (of wavelength \\lambda), travelling alo... | {
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Okay, so I need to figure out the angular distance between the first two minima when an aperture shaped like an N-sided polygon with all apothems of length a is illuminated by monochromatic light. And when N is infinitely large. Hmm. Let me start by recalling some diffraction grating concepts because this seems... |
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{
"content": "Problem: For how many integers $n$ does the expression\\[\\sqrt{\\frac{\\log (n^2) - (\\log n)^2}{\\log n - 3}}\\]represent a real number, where log denotes the base $10$ logarithm?\nMark your solution with \\boxed\nAnswer:",
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Okay, so I need to figure out for how many integers n the expression √[ (log(n²) - (log n)² ) / (log n - 3) ] is a real number. Hmm. Let's start by breaking down the components of this expression.
First, the expression inside the square root must be non-negative because the square root of a negative number isn... |
[
{
"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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} | 2 | 212 | CodeElo | {
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"problem_id": "",
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} | <think>
Okay, so I need to solve this problem where we have a perfect binary tree and a permutation of its vertices. We have to answer multiple queries where we swap two elements in the permutation and check if the resulting permutation is a valid DFS order of the tree. The swaps are persistent, meaning they affect all... |
[
{
"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 0-indexed integer arrays, cost and time, of size n representing the costs and the time taken to paint n different walls respectively. There a... | {
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} | 1 | 25 | LiveCodeBench | {
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} | <think>
Alright, so I need to figure out the minimum amount of money required to paint all the walls. There are two painters: a paid one and a free one. The paid painter has to be used for some walls, and the free one can help out as long as the paid one is busy.
First, let me parse the problem again. Each wall i has... |
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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: The correct statement(s) regarding the binary transition metal carbony... | {
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} | 1 | 129 | JEEBench | {
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"problem_id": "20",
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"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Alright, let me try to figure out this problem step by step. The question is about the properties of binary transition metal carbonyl compounds, specifically regarding iron (Fe) and nickel (Ni) carbonyls. The options given are A, B, C, and D, and I need to determine which of these statements are correct. Let me... |
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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: A 4-year-old boy is brought to the physician because of temperatures to 39.4°C (102.9°F) for 8 days. Examination shows anterior cervical lymphadenopa... | {
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Okay, let's see. The problem is about a 4-year-old boy with a high temperature for 8 days. The examination shows some specific symptoms: swollen lymph nodes in the neck, red eyes, a strawberry tongue, a red rash on his trunk, and swelling in his hands and feet. The question is asking which medication would be b... |
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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: The nitrogen containing compound produced in the reaction of $\\mathrm... | {
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"problem_id": "29",
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"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, so I need to figure out which of these options are correct regarding the nitrogen-containing compound produced when HNO₃ (nitric acid) reacts with P₄O₁₀ (which is diphosphorus decaoxide). Let me start by writing down the equation for the reaction to see what product is formed.
First, let me recall that w... |
[
{
"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: If the foot is abducted, it is moved in which direction?\nOptions: A. Backward, B. Circular motion, C. No movement, it remains stationary, D. Toward ... | {
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} | 0 | 108 | MMLUPro | {
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} | <think>
Okay, so I need to figure out which direction the foot moves when it's abducted. Hmm, let me start by recalling what "abducted" means in medical terms. I think abduction usually refers to moving a limb away from the midline of the body. For example, when you move your arm out to the side, away from your body, t... |
[
{
"content": "Problem: For complex number $u = a+bi$ and $v = c+di$ (where $i=\\sqrt{-1}$), define the binary operation\n$u \\otimes v = ac + bdi$\nSuppose $z$ is a complex number such that $z\\otimes z = z^{2}+40$. What is $|z|^2$?\nMark your solution with \\boxed\nAnswer:",
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} | 8 | 25 | AMC23 | {
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"problem_id": "28",
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"subject": null,
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} | <think>
Okay, so I need to solve this problem where we have two complex numbers u and v, defined as u = a + bi and v = c + di. The binary operation is defined as u ⊗ v = ac + bdi. Then, there's a complex number z such that z ⊗ z = z² + 40, and I need to find |z|². Hmm, let me try to parse this step by step.
First, 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 ... | {
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} | 0 | 353 | CodeForces | {
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Okay, so I need to solve this problem where I have an array of integers, and I need to count the number of subarrays that become consecutive when you perform certain operations. The operations are adding pairs of numbers with an average that's not already in the set. The key insight is that the final set can be... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: Why do economists stress the cross-elasticitiesbetween different factors of production?\nOptions: A. Cross-elasticity is used to calculate the gross ... | {
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} | I think the correct answer is I. Because cross-elasticity between factors of production shows how they complement or substitute each other, which is important for understanding production processes and making efficient use of resources. So the answer is I.
**Final Answer**
\boxed{I} |
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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 solve this problem where I have an array a and a binary array b. The goal is to maximize the score by performing operations where I can increase elements of a at positions where b is 1, up to k times. The score is the maximum of (a_i + median of the remaining elements) for each i.
First, le... |
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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>
Alright, so I need to solve this problem where there are n + m points on a plane: n points on the x-axis (y=0) and m points on a line y=2. The task is to find the maximum number of triangles (k_max) that can be formed such that each triangle doesn't have collinear points, and then compute the maximum score (f(k... |
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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: Model studies of a sea wall are conducted at a scale of 1 : 25. If the wave period in the prototype is 10 sec, what should be the period of wave gene... | {
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} | <think>
Okay, so I need to figure out two things here. First, the period of the wave in the model to ensure similarity with the prototype sea wall, and second, the corresponding prototype force per foot of wall when the model wave force is 12 lb/ft. The scale of the model is 1:25. Let me start with the first part about... |
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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 have this problem where I need to compute the sum of (a_i XOR i) for each node along the path from x to y. The input is a tree with n nodes, each with a value a_i, and there are q queries asking for the sum along different paths. Let me try to break this down step by step.
First, let me understand t... |
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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 we have an n-story building with people on each floor. They're launching paper airplanes, and each person can see all the airplanes launched from the floors below them. The goal is to find the number of ways to assign which floor each airplane was launched from, given... |
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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 the winner of this game where Alice and Bob play on a tree. The problem is a bit complex because it's given multiple times with different configurations, but the key is to determine the winner based on where Bob starts along the path from u to v.
First, let me parse the problem a... |
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Okay, so I need to figure out how many loops are in this Feynman diagram based on the given size estimate. The expression provided is α³ * g² * sqrt(2) * 8 * 1/(4π)⁶ * (Q/M)². Hmm, let's break this down.
First, I remember that in perturbative quantum field theory, the number of loops in a Feynman diagram relat... |
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{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.There are zero or more sensors placed on a grid of H rows and W columns. Let (i, j) denote the square in the i-th row ... | {
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} | 1 | 307 | LiveCodeBench | {
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} | Here's a possible Python function to solve the problem. The function first constructs the grid from the input, then iterates over each cell to find sensors and check their interactions. It uses a set to track interacting sensors and another set to count unique sensors. For each sensor, it checks adjacent cells within t... |
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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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} | <think>
Alright, so I need to solve this problem where I have to find the N-th Fibonacci number that's divisible by K, and then output that number modulo 10^9 + 7. Let me break this down step by step.
First, let's understand the problem. We're given two numbers, n and k, and we need to find the N-th Fibonacci number t... |
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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: Two alternatives for interconnecting a set of processors with bidirectional links are (1) the fully interconnected network, in which each processor i... | {
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Okay, so I need to figure out the ratio of the figure of merit for the fully interconnected network compared to the ring network. The figure of merit is the product of the number of links times the worst-case path length. Let me start by understanding each part.
First, the fully interconnected network (FIN). F... |
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{
"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 and Aoki are playing a game using N cards. The front side of the i-th card has A_i written on it, and the ba... | {
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} | To determine the winner of the game between Takahashi and Aoki, we need to analyze the given cards and simulate the optimal moves for both players. The key idea is to check if the game can be forced into a winning position for one player by considering all possible pairs of cards and their front and back sides.
Here's... |
[
{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: The correct option(s) about entropy (S) is(are)\n$[\\mathrm{R}=$ gas c... | {
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} | 0 | 443 | JEEBench | {
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"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, let's tackle this problem step by step. The question is about entropy (S) and which of the given options are correct. Let me go through each one carefully, explaining my reasoning.
**Option A:**
The reaction is M(s) + 2 H⁺(aq) → H₂(g) + M²⁺(aq). The given condition is that the derivative of the cell pote... |
[
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} | 1 | 104 | CodeForces | {
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} | <think>
Alright, so I need to solve this problem where I have a 2xN matrix, and I can swap any two columns any number of times. After swapping columns, I need to find the path from the top-left cell (1,1) to the bottom-right cell (2,N) that has the maximum cost. The cost of the path is the sum of all the integers in th... |
[
{
"content": "Problem: Consider the set of complex numbers $z$ satisfying $|1+z+z^{2}|=4$. The maximum value of the imaginary part of $z$ can be written in the form $\\tfrac{\\sqrt{m}}{n}$, where $m$ and $n$ are relatively prime positive integers. What is $m+n$?\nMark your solution with \\boxed\nAnswer:",
"... | {
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} | <think>
Okay, so I need to find the maximum value of the imaginary part of a complex number \( z \) that satisfies the equation \( |1 + z + z^2| = 4 \). The answer should be in the form \( \frac{\sqrt{m}}{n} \) where \( m \) and \( n \) are relatively prime positive integers, and then I need to find \( m + n \).
First... |
[
{
"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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} | 2 | 357 | CodeElo | {
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} | <think>
Okay, so I need to solve this problem where I have to find a binary string of length n with the smallest possible oneness. Oneness is defined as the absolute difference between the number of non-empty subsequences that only contain 0s (f(t)) and the number of non-empty subsequences that contain at least one 1 (... |
[
{
"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 of integers nums of length n, and a positive odd integer k.\nThe strength of x subarrays is defined as strength = sum[1] * x - ... | {
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} | <think>
Okay, so I need to figure out how to maximize the strength of k disjoint subarrays from the given nums array. The problem is a bit complex, but let's break it down step by step.
First, let's understand the strength formula. For each subarray of length x, the strength contribution is sum[i] * (x - i + 1) multip... |
[
{
"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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} | 0 | 383 | CodeElo | {
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} | <think>
Okay, so I need to solve this problem where we have an array of length n and m tests. Each test is a pair (x_i, k_i), which means that the element at index x_i should be k_i. The task is to find the minimum number of tests we can remove so that there exists an array that satisfies all the remaining tests. Addit... |
[
{
"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 | 226 | CodeForces | {
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} | <think>
Okay, so I need to solve this problem where we have an array a of length n, and we can change up to k elements. The goal is to minimize the function f(a), which is defined as the minimum number of operations needed to empty the array. Each operation involves selecting a subarray from l to r where the minimum el... |
[
{
"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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} | 2 | 13 | CodeElo | {
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} | <think>
Okay, so I need to figure out how to reverse-engineer a Fenwick Tree (also known as a Binary Indexed Tree) operation. The problem gives me an array b which is the result of applying the function f, k times, to some original array a. I need to find array a such that applying f^k(a) gives b.
First, let me recal... |
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