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 193k |
|---|---|---|---|---|---|---|
[
{
"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 | 156 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where we have a town with n people and some wealth. The goal is to figure out the minimum amount of gold the richest person needs to find so that more than half of the people become unhappy. Let me try to break this down step by step.
First, let me understand the problem s... |
[
{
"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 a string S consisting of 0, 1, and ?.\nLet T be the set of values that can be obtained ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 193 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | from math import log2, floor
def find_max_value():
import sys
input = sys.stdin.read
s, n = input().split()
n = int(n)
# Convert the string to a list for easier manipulation
s = list(s)
length = len(s)
# Replace '?' with 1 first to maximize the number
for i in range(length):
... |
[
{
"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 | 409 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have a tree with n vertices, each labeled with a value from 1 to n. For each vertex i, I need to determine if there's a non-trivial path in the tree where i is the majority value of the sequence of labels on the vertices along that path. The output should be a binar... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: trans-cinnamaldehyde was treated with methylmagnesium bromide, forming product 1.\n\n1 was treated with pyridinium chlorochromate, forming product 2.\n\n3 was treated wi... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 1 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to figure out this problem step by step. The question is about determining the number of carbon atoms in product 3 after a series of reactions starting from trans-cinnamaldehyde. Let me break down each step carefully.
First, the starting material is trans-cinnamaldehyde. I need to recall what t... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 214 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this cosmic rays problem. The challenge is to compute the strength of an array for each prefix of given compressed sequences. The strength is defined as the number of seconds until the array becomes empty due to cosmic ray deletions.
First, let me parse the problem statement. The input consists ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.In the calendar of AtCoder Kingdom, a year consists of M months from month 1 to month M, and each month consists of D ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 337 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | ```python
# Generated Python function based on the provided prompt
def next_day_in_atcoder_kingdom():
# Read input values
M, D = map(int, input().split())
y, m, d = map(int, input().split())
# Calculate the next day
if d < D:
d += 1
else:
d = 1
if m < M:
... |
[
{
"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: Over the past several decades, attitudes toward premarital sex have __________; attitudes toward extramarital sex have __________.\nOptions: A. becom... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 19 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so the question is about how attitudes toward premarital and extramarital sex have changed over the past several decades. The options are given, and I need to figure out the correct answer.
First, let me recall what I know about changes in social attitudes regarding sex. Premarital sex refers to having 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": 0,
"temperature": 0.7
} | 0 | 293 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where there's a passageway with 2 rows and N columns. Each column has a soldier with a power P_{r,c}. The columns have a 50% chance of being covered by fog each day. The goal is to calculate the expected total strength of the deployment. The strength of a connected area is ... |
[
{
"content": "Problem: How many complex numbers satisfy the equation $z^5=\\overline{z}$, where $\\overline{z}$ is the conjugate of the complex number $z$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 5 | AMC23 | {
"expected_answer": "7",
"problem_id": "5",
"reference_solution": "",
"subject": null,
"type": null
} | To solve the equation \( z^5 = \overline{z} \) for complex numbers \( z \), we start by expressing \( z \) in polar form. Let \( z = re^{i\theta} \), where \( r \) is the modulus and \( \theta \) is the argument of \( z \). The complex conjugate \( \overline{z} \) is then \( re^{-i\theta} \).
Substituting these into t... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: All the following statements about the molecular biology of Severe Acute Respiratory Syndrome Coronavirus 2 (SARS‑CoV‑2) are correct except\n\n\n\nOptions: A) The rate o... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 10 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this question step by step. The user is asking about the molecular biology of SARS-CoV-2, specifically which statement is incorrect among the four options provided. I need to carefully analyze each option and compare it with known scientific literature to identify the false statement.
First,... |
[
{
"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: Highly excited states for hydrogen-like atoms (also called Rydberg sta... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 2 | JEEBench | {
"expected_answer": "ABD",
"problem_id": "6",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | <think>
Okay, so I need to figure out which statements are true about Rydberg states for hydrogen-like atoms. Let me start by recalling what I know about these states. Rydberg states are highly excited states where the principal quantum number n is very large. For hydrogen-like atoms, the nucleus has a charge Ze, where... |
[
{
"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 bimolecular reaction, the steric factor $P$ was experimentally de... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 105 | JEEBench | {
"expected_answer": "AB",
"problem_id": "28",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, so I have this problem about a bimolecular reaction where the steric factor P is experimentally determined to be 4.5. I need to figure out which of the options A to D are correct. Let me start by recalling what the steric factor is. From my notes, the steric factor, also known as the phase factor, has to ... |
[
{
"content": "Problem: Positive real numbers $x$ and $y$ satisfy $y^3=x^2$ and $(y-x)^2=4y^2$. What is $x+y$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 8,
"temperature": 0.7
} | 8 | 1 | AMC23 | {
"expected_answer": "36",
"problem_id": "1",
"reference_solution": "",
"subject": null,
"type": null
} | We start with the given equations for positive real numbers \(x\) and \(y\):
1. \(y^3 = x^2\)
2. \((y - x)^2 = 4y^2\)
Our goal is to find \(x + y\).
First, let's expand the second equation:
\[
(y - x)^2 = y^2 - 2xy + x^2 = 4y^2
\]
Subtracting \(y^2\) from both sides:
\[
-2xy + x^2 = 3y^2
\]
Now, we can express \... |
[
{
"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 word and an integer k.\nWe consider word to be k-special if |freq(word[i]) - freq(word[j])| <= k for all indices i and j in the string.\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 463 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the minimum number of deletions required to make a string k-special. A string is k-special if the absolute difference between the frequencies of any two characters does not exceed k. Here's a step-by-step approach:
1. **Frequency Calculation**: First, compute the frequency o... |
[
{
"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 graduate student’s dissertation chair, Dr. X, turns out to be of little help, and the student ends up obtaining advice and assistance from an assoc... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 384 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the correct answer to this publication credit question. Let me start by reading the problem again to make sure I understand the situation.
A graduate student's dissertation chair, Dr. X, isn't very helpful. The student gets advice and help from an associate professor, Dr. Z. Dr. ... |
[
{
"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 | 286 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Okay, so I need to solve this problem where I have to partition cards into decks of equal size, such that no two cards with the same value are in the same deck. I can buy up to k new cards, which can be any value between 1 and n. The goal is to maximize the deck size.
First, I need to understand the constraints. The n... |
[
{
"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 | 184 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this problem step by step. So, the task is to find k distinct integer coordinate points such that their center (average of all x-coordinates and average of all y-coordinates) is exactly (x_c, y_c). The points must have coordinates between -10^9 and 10^9. The constraints are that there are up to 10... |
[
{
"content": "Problem: The product of two consecutive positive even integers is 288. What is the greater of the two integers?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 160 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find two consecutive positive even integers whose product is 288. And then figure out which one is bigger. Hmm, let's start by understanding what consecutive even integers are. Even integers are numbers like 2, 4, 6, 8, and so on. Consecutive means they come one after another, so like 2 and 4... |
[
{
"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 containing positive integers.\nYour task is to minimize the length of nums by performing the following operations ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 162 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to write a Python function that minimizes the length of a given list of positive integers by performing certain operations. The operations are: selecting two distinct indices i and j where the elements are positive, inserting the result of nums[i] % nums[j] at the end of the list, and then delet... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: You want to create a mouse embryonic chimera with induced pluripotent stem cells from somatic cells of various tissues. You are interested in the iPSCs fate in the embry... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 75 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let me try to figure out this question. The problem is about creating a mouse embryonic chimera using induced pluripotent stem cells (iPSCs) from various somatic cells. The iPSCs are labeled with mRaspberry (which is a red fluorescent protein) fused under a lineage-specific promoter. They're injected into... |
[
{
"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 | 107 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where we have a bunch of cities connected by one-way roads, and we need to figure out the minimum number of plans we have to start with so that eventually, every city gets informed. If it's impossible, we should output -1. Let me try to break this down step by step.
First,... |
[
{
"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 N consisting of lowercase English letters.\nFind the number of non-empty substrings... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 328 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | import sys
def count_repetition_substrings():
N = int(input())
S = input().strip()
count = 0
for i in range(N):
for j in range(i+1, N+1):
if S[i:j].count(S[i]) == j - i:
count += 1
print(count)
count_repetition_substrings() |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Enamine reactions include nucleophilic substitutions, electrophilic additions, and the condensation of secondary amines with carbonyl compounds to generate enamines. Ena... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 37 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's tackle this problem. So, we need to figure out the product of the reaction between (E)-N-methyl-N-(pentan-2-ylidene)ethanaminium and the given reagents, and also determine the correct sequence of reagents according to the reaction steps. The answer choices are A to D, and we have to pick the correct... |
[
{
"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 | 379 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this problem step by step. First, I need to understand the problem statement. The task is to take an array of integers and perform an operation any number of times. The operation allows choosing two distinct indices i and j (with 1 ≤ i < j ≤ m) where the element at i is even, then divide b_i by 2 ... |
[
{
"content": "Problem: Points $A$ and $B$ lie on the graph of $y=\\log_{2}x$. The midpoint of $\\overline{AB}$ is $(6, 2)$. What is the positive difference between the $x$-coordinates of $A$ and $B$? The final answer can be written in the form $m \\sqrt{n}$, where $m$ and $n$ are relatively prime positive integ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 6,
"temperature": 0.7
} | 6 | 19 | AMC23 | {
"expected_answer": "9",
"problem_id": "21",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where points A and B are on the graph of y = log₂x. The midpoint of segment AB is (6, 2). I need to find the positive difference between the x-coordinates of A and B, which is supposed to be in the form m√n, with m and n being relatively prime positive integers. Then, I hav... |
[
{
"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: Words of length 10 are formed using the letters $A, B, C, D, E, F, G, H, I, J$. Let $x$ be the number of such ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 92 | JEEBench | {
"expected_answer": "5",
"problem_id": "47",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | <think>
Okay, so I need to find the value of y divided by 9 times x, where x is the number of 10-letter words with no repeated letters, and y is the number of 10-letter words where exactly one letter is repeated twice and the rest are unique. Hmm, let's break this down step by step.
First, let's figure out x. Since we... |
[
{
"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 players numbered 1 to N, who have played a round-robin tournament. For every match in this tournament, one... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 295 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | from collections import Counter
def parse_input():
import sys
input = sys.stdin.read
N = int(input().strip())
results = []
for _ in range(N):
results.append(input().strip())
return N, results
def calculate_wins(N, results):
wins = []
for i in range(N):
wins.append(Count... |
[
{
"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 representing the initial positions of some marbles. You are also given two 0-indexed integer arrays moveFrom and m... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 39 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | def final_positions(nums, moveFrom, moveTo):
occupied_positions = set(nums) # Start with initial positions
for i in range(len(moveFrom)):
current_pos = moveFrom[i]
new_pos = moveTo[i]
if current_pos in occupied_positions:
occupied_positions.remove(current_pos) ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given an array of positive integers nums of length n.\nA polygon is a closed plane figure that has at least 3 sides. The longest side of a polygon is s... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 169 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to find the largest possible perimeter of a polygon that can be formed from the given array `nums`. The key steps are:
1. **Sort the Array**: First, sort the array in non-decreasing order. This allows us to check the largest possible sides first while ensuring that the smaller sides can ... |
[
{
"content": "Problem: What is the degree measure of the acute angle formed by lines with slopes $2$ and $\\frac{1}{3}$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 2 | AMC23 | {
"expected_answer": "45",
"problem_id": "2",
"reference_solution": "",
"subject": null,
"type": null
} | To find the acute angle between two lines with slopes \(2\) and \(\frac{1}{3}\), we can use the formula for the angle \(\theta\) between two lines:
\[
\theta = \left| \arctan\left( \left| \frac{m_1 - m_2}{1 + m_1 m_2} \right| \right) \right|
\]
where \(m_1\) and \(m_2\) are the slopes of the two lines. Let's plug in ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.The programming contest World Tour Finals is underway, where N players are participating, and half of the competition ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 296 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | import sys
# The following function is designed to solve the problem where we need to determine the minimum number of problems each player must solve to exceed all other players' total scores.
def solve():
# Read the input
input = sys.stdin.read
data = input().split()
N = int(data[0])
M = int(... |
[
{
"content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Consider the lines $\\mathrm{L}_1$ and $\\mathrm{L}_2$ defined... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 332 | JEEBench | {
"expected_answer": "9.00",
"problem_id": "45",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, let's try to tackle this problem step by step. It seems a bit complex, but let's break it down.
First, we have two lines, L1 and L2. Their equations are given as:
L1: x√2 + y - 1 = 0
L2: x√2 - y + 1 = 0
We need to find the value of λ² such that when a point P has the product of its distances from L1 a... |
[
{
"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 an electrochemical cell: $\\mathrm{A}(\\mathrm{s})\\l... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 169 | JEEBench | {
"expected_answer": "-11.62",
"problem_id": "32",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let's try to tackle this problem. Hmm, it's about an electrochemical cell and some thermodynamic quantities. The question gives a cell diagram and mentions that the change in enthalpy (ΔH°) is twice the change in Gibbs energy (ΔG°) at 300 K. The emf is zero, and we need to find the entropy change (ΔS°) pe... |
[
{
"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 order of the oxidation state of the phosphorus atom in $\\mathrm{H}_{... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 102 | JEEBench | {
"expected_answer": "C",
"problem_id": "23",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | <think>
Okay, so I need to figure out the order of the oxidation states of phosphorus in those four compounds: H₃PO₂, H₃PO₄, H₃PO₃, and H₄P₂O₆. Hmm, let's start by recalling that the oxidation number (or oxidation state) of an element in a compound is calculated based on the atoms around it.
Phosphorus is the main el... |
[
{
"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 electrostatic energy of $Z$ protons uniformly distributed throughout ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 42 | JEEBench | {
"expected_answer": "C",
"problem_id": "1",
"reference_solution": null,
"subject": "phy",
"type": "MCQ"
} | <think>
Okay, let's see. I need to find the radius of the nuclei for nitrogen-15 and oxygen-15, given that their binding energies differ only due to electrostatic energy. The problem gives the formula for electrostatic energy as E = (3/5) * [Z(Z-1) * e²/(4πε₀ R)]. Also, the masses are provided for the particles involve... |
[
{
"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: The mole fraction of urea in an aqueous urea solution containi... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 230 | JEEBench | {
"expected_answer": "2.98",
"problem_id": "30",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, let me try to figure out this problem step by step. So, we need to find the molarity of an urea solution given some data. Let me read the problem again carefully.
The problem states: The mole fraction of urea in an aqueous urea solution containing 900 g of water is 0.05. The density of the solution is 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 pharmacist was employed by a drug store. A long-time customer of the drug store presented a prescription to the pharmacist for the medication Clino... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 366 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The problem is about a customer who got injured after taking the wrong medication. The question is about the pharmacist's best defense in a strict liability tort case. Hmm. Strict liability usually means someone is liable for injuries caused by their product, regardless of fault. But in tort la... |
[
{
"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 | 70 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this grid walk problem. Let me try to wrap my head around it. The task is to find the path from the top-left corner (1,1) to the bottom-right corner (n,n) of an n x n grid. Each step can either move right or down. The cost of each cell is determined by the greatest common divisor (gcd) ... |
[
{
"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 ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 9,
"temperature": 0.7
} | 9 | 6 | AIME24 | {
"expected_answer": "699",
"problem_id": "aime24-6",
"reference_solution": "We note that by changing a digit to $1$ for the number $\\overline{abcd}$ , we are subtracting the number by either $1000(a-1)$ , $100(b-1)$ , $10(c-1)$ , or $d-1$ . Thus, $1000a + 100b + 10c + d \\equiv 1000(a-1) \\equiv 100(b-1... | <think>
Okay, so I need to find the greatest four-digit number N such that if any one of its digits is changed to 1, the resulting number is divisible by 7. Then, after finding N, divide it by 1000 to get Q and R, and add them up. Hmm, let's break this down.
First, let me think about the problem. The number N must hav... |
[
{
"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 polyomino is a puzzle piece in the shape of a connected polygon made by connecting several squares by their edges.\n... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 292 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|python3|
# Since the problem involves checking if three polyominoes can fit into a 4x4 grid without overlapping and covering all squares,
# we need to parse the input which consists of 16 characters per polyomino, each either '#' or '.'.
# The grid is 4x4, so each polyomino is represented by four lines with four 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": 2,
"temperature": 0.7
} | 2 | 188 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out whether each impression is unique based on the given ranges. Let me start by understanding the problem. We have multiple test cases, each with a number of impressions (integer arrays) where each impression has a range of possible values. The goal is to determine if each impression ... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: For a real number $\\alpha$, if the system\n\\[\n\\left[\\begin{array}{ccc}\n1 & \\alpha & \\alpha^{2} \\\\\n\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 91 | JEEBench | {
"expected_answer": "1",
"problem_id": "46",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | <think>
Okay, so I need to figure out for which real number α the system of equations given has infinitely many solutions. Then, I have to find the value of 1 + α + α². Let me start by writing down the system properly. The coefficient matrix is:
\[
\begin{bmatrix}
1 & \alpha & \alpha^2 \\
\alpha & 1 & \alpha \\
\alpha... |
[
{
"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 | 45 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this XORificator problem. Let me try to wrap my head around it. The problem is about a binary matrix where each cell is either 0 or 1. We have an XORificator that can flip all the bits in a chosen row (0 becomes 1 and vice versa). The goal is to find the maximum number of columns that c... |
[
{
"content": "You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print the ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 144 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where Pak Chanek has to plan the sales of drinks over n days, each with m types of drinks. The key constraints are that each day's selected drinks must form a subarray (i.e., continuous) and the selection must include at least one drink from the previous day and one not inc... |
[
{
"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 an integer k.\nDefine a function distance(s_1, s_2) between two strings s_1 and s_2 of the same length n as:\n\nThe sum of the min... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 473 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Here's a possible implementation in Python. The function `smallestStringAfterReplacements` takes a string `s` and an integer `k` as input and returns the lexicographically smallest string `t` such that the distance between `s` and `t` is less than or equal to `k`.
The function first calculates the distance between eac... |
[
{
"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 | 304 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have an array a of length n, and each element a_i is a positive integer. The task is to perform operations where, for each position i (from 1 to n), if a_i equals |a| + 1 - i, where |a| is the current length of the array, we can append i - 1 zeros to the end. The go... |
[
{
"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: ${ }_{92}^{238} \\mathrm{U}$ is known to undergo radioactive d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 258 | JEEBench | {
"expected_answer": "1.2",
"problem_id": "35",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <think>
Okay, so I need to find the number of alpha particles emitted by Uranium-238 decaying into Lead-206 over three half-lives, given that the initial amount of U-238 is 68 micrograms. Hmm, let's start by recalling some basics about radioactive decay.
First, the problem states that U-238 undergoes decay by emitting... |
[
{
"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 arrays of equal length, nums1 and nums2.\nEach element in nums1 has been increased (or decreased in the case of negative) by an integer, repr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 489 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | def find_x(nums1, nums2):
# Calculate the difference between corresponding elements of nums2 and nums1
differences = [num2 - num1 for num1, num2 in zip(nums1, nums2)]
# Since x is added to each element in nums1 to get nums2, x should be the same for all elements
# Find the unique difference which should... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A quantum mechanical particle of mass m moves in two dimensions in the following potential, as a function of (r,θ): V (r, θ) = 1/2 kr^2 + 3/2 kr^2 cos^2(θ)\nFind the ene... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 5 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the energy spectrum for a quantum mechanical particle in a two-dimensional potential given by V(r, θ) = (1/2)kr² + (3/2)kr² cos²θ. Hmm, let me start by recalling how to approach such problems.
First, I remember that in quantum mechanics, particles in central potentials (which are usual... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: An atomic nucleus of mass M is at rest with rest-mass energy of 300 GeV. A spontaneous fission occurs in which it splits into two fragments (and nothing else), such that... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 173 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out the difference between the correct kinetic energy of the more massive fragment in a spontaneous fission and the one calculated using classical mechanics. Let me start by understanding the problem step by step.
First, the initial nucleus has a rest-mass energy of 300 GeV. That mean... |
[
{
"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 | 300 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this coding problem. The task is about maximizing the total profit by selling drinks over n days, where each day you can choose a subarray of drink types. The constraints are that each day's selection must include at least one drink from the previous day and one not included before. Hmm, interesti... |
[
{
"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 | 157 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this problem step by step. First, I need to understand the requirements. We have a matrix 'a' of size n x m, containing all integers from 1 to n*m, each integer appearing exactly once. The goal is to construct another matrix 'b' of the same size where each element b_{i,j} is different from a_{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: Three lines are given by\n\\[\n\\vec{r} & =\\lambda \\hat{i}, ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 216 | JEEBench | {
"expected_answer": "0.75",
"problem_id": "54",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to find the area of triangle ABC formed by the points where three given lines intersect the plane x + y + z = 1, and then compute (6Δ)². Let me start by understanding the problem step by step.
First, the three lines are given in parametric form. Let me write them down again:
1. The first line ... |
[
{
"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.Team Takahashi and Team Aoki are playing a baseball game, with Team Takahashi batting first.\nCurrently, the game has ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 431 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | import numpy as np
def baseball():
# Read input
A = list(map(int, input().split()))
B = list(map(int, input().split()))
# Calculate scores at the end of the top of the ninth inning
total_A = sum(A)
total_B = sum(B)
# Since Team Takahashi's score is not less than Team Aoki's, total... |
[
{
"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 | 371 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Okay, so I need to solve this problem where students are lined up, each with a topic of interest, and the goal is to minimize the number of neighboring students with the same topic by swapping pairs of students. The swaps are allowed only between positions i and n-i+1. Hmm, interesting. Let me try to break this down 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 th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 187 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine for each starting island s whether Bessie can win the race against Elsie. Let's break down the problem step by step.
### Key Understanding:
1. **Islands and Bridges**:
- There are n islands connected by main bridges (i ↔ i+1 for 1 ≤ i < n).
- Additional alternative br... |
[
{
"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 | 163 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this binomial coefficient problem where the coefficients are calculated using the wrong formula. The problem states that instead of using the correct formula, which is C(n, k) = C(n-1, k-1) + C(n-1, k), they used a different one, probably C(n, k) = C(n-1, k-1) + C(n-2, k-1). And now, I ... |
[
{
"content": "Problem: Find the projection of $\\mathbf{a}$ onto $\\mathbf{b} = \\begin{pmatrix} 2 \\\\ 6 \\\\ 3 \\end{pmatrix}$ if $\\mathbf{a} \\cdot \\mathbf{b} = 8.$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 420 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to find the projection of vector a onto vector b. Hmm, vector b is given as (2, 6, 3) and the dot product of a and b is 8. Let me recall the formula for the projection of a vector onto another vector.
I think the projection of vector a onto vector b is given by the formula:
proj_{\mathbf{b}} ... |
[
{
"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 3\\times3 grid with numbers between 1 and 9, inclusive, written in each square. The square at the i-th row ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 276 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | from fractions import Fraction
def solve():
from collections import Counter
from math import comb
# Initialize the grid and get the numbers in order
grid = []
for _ in range(3):
row = list(map(int, input().split()))
grid.extend(row)
# Convert the grid into a single lis... |
[
{
"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 | 366 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where we have an array, and we can assign any element to any other element any number of times. The goal is to make sure that for every triplet of distinct indices, the three elements can form a non-degenerate triangle. The output is the minimum number of operations require... |
[
{
"content": "Problem: When $n$ standard six-sided dice are rolled, the product of the numbers rolled can be any of $936$ possible values. What is $n$?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 31 | AMC23 | {
"expected_answer": "11",
"problem_id": "40",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how many dice, n, are required such that when they are rolled, there are 936 possible products of the numbers rolled. Hmm, interesting. Let me start by understanding the problem.
First, each die is a standard six-sided die, so each die can show numbers 1 through 6. The product of ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed integer array nums, an integer modulo, and an integer k.\nYour task is to find the count of subarrays that are interesting.\nA subarr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 74 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out how to count the number of interesting subarrays in the given array. Let me start by understanding the problem again.
An interesting subarray is defined as a contiguous subarray where the count of elements that are congruent to k modulo modulo is itself congruent to k modulo modul... |
[
{
"content": "Problem: Every morning Aya goes for a $9$ -kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 4,
"temperature": 0.7
} | 4 | 15 | AIME24 | {
"expected_answer": "204",
"problem_id": "aime24-15",
"reference_solution": "$\\frac{9}{s} + t = 4$ in hours and $\\frac{9}{s+2} + t = 2.4$ in hours. Subtracting the second equation from the first, we get, $\\frac{9}{s} - \\frac{9}{s+2} = 1.6$ Multiplying by $(s)(s+2)$ , we get $9s+18-9s=18=1.6s^{2} + 3.2s$ ... | <think>
Okay, let's see. Aya goes for a 9-kilometer walk every morning and stops at a coffee shop. The time she spends includes the walking time and the time in the coffee shop, which is t minutes. There are two scenarios given here: one where she walks at speed s km/h taking 4 hours total, and another where she walks ... |
[
{
"content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: Let $f: \\mathbb{R} \\rightarrow \\mathbb{R}$ and $g: \\mathbb{R} \\ri... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 141 | JEEBench | {
"expected_answer": "BC",
"problem_id": "41",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, so I need to figure out which of the options (A), (B), (C), or (D) are true given the differential equation and the boundary conditions. Let me start by understanding the problem.
We have two functions, f and g, both differentiable on the real numbers and non-constant. The derivative of f is given by e 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 | 372 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this problem step by step. The task is to find the maximum number of non-overlapping segments in an array such that the sum of each segment is zero. The array can have up to 10^5 elements, and there are up to 10^4 test cases. The constraints suggest that a naive approach might not work, so we need... |
[
{
"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 | 378 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Okay, so I need to solve this problem where Alya has to maximize the value of k after performing n operations. The operations alternate between AND and OR, depending on whether the index is odd or even. The initial value of k is 0, and we need to construct a permutation p of integers from 1 to n such that after all ope... |
[
{
"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 | 290 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this ICPC Square problem. Let me try to wrap my head around it. The problem is about a hotel with N floors, and you can move between floors using an elevator. The elevator rule is that if you're on floor x, you can go to floor y if y is a multiple of x and y - x is less or equal to D. Y... |
[
{
"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 of size n, and a 0-indexed integer array pattern of size m consisting of integers -1, 0, and 1.\nA subarray nums[i... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 173 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Here's a possible implementation in Python. The function `count_matching_subarrays` takes two parameters, `nums` and `pattern`, and returns the count of subarrays in `nums` that match the given pattern.
The function uses a nested loop to iterate through all possible subarrays of `nums` with a size of `len(pattern) + 1... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 385 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this problem step by step. So, we have a bunch of melodies, each composed of notes, and we need to check if they're perfect based on the intervals between adjacent notes. Let me try to parse the problem again to make sure I get it right.
First, the input consists of multiple test cases, each with... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: 1-bromobenzene-2-d is treated with NaNH2 in condensed ammonia solvent. How many possible organic products are there in this reaction?\nOptions: A) 2, B) 1, C) 4, D) 3\nA... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 140 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's see. The question is about the reaction of 1-bromobenzene-2-d with NaNH₂ in condensed ammonia solvent. I need to figure out how many possible organic products there are. Hmm.
First, I remember that 1-bromobenzene-2-d is a substituted benzene derivative. The structure would be a benzene ring with 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 | 269 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to determine the minimum amount of gold \( x \) the richest person must find such that more than half of the population becomes unhappy. An unhappy person is one whose wealth is strictly less than half the average wealth.
### Key Steps:
1. **Calculate the average wealth**: For each tes... |
[
{
"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 bimolecular reaction, the steric factor $P$ was experimentally de... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 105 | JEEBench | {
"expected_answer": "AB",
"problem_id": "28",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <think>
Okay, so I need to figure out which options are correct given that the steric factor P is experimentally determined to be 4.5 in a bimolecular reaction. Let me start by recalling what the steric factor is. From what I remember, the steric factor, also known as the collision frequency factor, is part of the tran... |
[
{
"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 pair of sequences of length M consisting of positive integers at most N, (S, T) = ((S_1, S_2, \\dots, S_M), (T_1, T_... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 319 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | import numpy as np
def solve():
input = stdin.readline
N, M = map(int, input().split())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
# Create a graph where each node is connected if A_i and B_i are different
graph = [set() for _ in range(N+1)]
for i in range(... |
[
{
"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 $a, b \\in \\mathbb{R}$ and $a^{2}+b^{2} \\neq 0$. Suppose $S=\\le... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 64 | JEEBench | {
"expected_answer": "ACD",
"problem_id": "47",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <think>
Okay, so I have this problem where I need to figure out on which geometric figure the points (x, y) lie when z is in the set S. The set S is defined as all complex numbers z of the form 1 divided by (a + i b t) where a and b are real numbers, not both zero, and t is a real number not equal to zero. Then z is ex... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 343 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Okay, so I need to solve this cake cutting problem where Alice has to divide the cake into m+1 pieces such that each of the m creatures gets at least v tastiness, and Alice wants to maximize her own piece. If it's impossible, she should output -1. Let me think through this step by step.
First, let's parse the problem.... |
[
{
"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 | 16 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Alright, let's tackle this problem step by step. The problem is about finding the "loneliness" of an array, which is defined as the smallest positive integer k such that for every k consecutive elements, their bitwise OR is the same. The goal is to determine this k for each test case.
First, let me understand the prob... |
[
{
"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 ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 3,
"temperature": 0.7
} | 3 | 6 | AIME24 | {
"expected_answer": "699",
"problem_id": "aime24-6",
"reference_solution": "We note that by changing a digit to $1$ for the number $\\overline{abcd}$ , we are subtracting the number by either $1000(a-1)$ , $100(b-1)$ , $10(c-1)$ , or $d-1$ . Thus, $1000a + 100b + 10c + d \\equiv 1000(a-1) \\equiv 100(b-1... | <think>
Okay, so I need to find the greatest four-digit number N such that if any one of its digits is changed to 1, the resulting number is divisible by 7. Then, I have to compute Q + R where Q and R are the quotient and remainder when N is divided by 1000. Hmm, let's break this down step by step.
First, let me think... |
[
{
"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: Monetary tools of the Federal Reserve do not include which of the following choices?\nOptions: A. Changing the reserve ratio, B. Changing the discoun... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 191 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which of these options isn't a monetary tool used by the Federal Reserve. Let me start by recalling what I know about the Federal Reserve's monetary policies.
First, the main tools they use are changing the reserve ratio, adjusting the discount rate, and selling or buying Treasur... |
[
{
"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: Atom $\\mathrm{X}$ occupies the fcc lattice sites as well as alternate te... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 447 | JEEBench | {
"expected_answer": "B",
"problem_id": "51",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | <think>
Okay, so I need to figure out the packing efficiency of a solid where an atom X occupies both the fcc lattice sites and alternate tetrahedral voids. Hmm, let's start by recalling what an fcc lattice is. An fcc lattice, or face-centered cubic lattice, has atoms at each corner and each face center. The basis for ... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given three strings a, b, and c, your task is to find a string that has the minimum length and contains all three strings as substrings.\nIf there are multiple... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 60 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to write a Python function that takes three strings a, b, and c as input and returns a string that is the shortest possible and contains all three as substrings. If there are multiple such strings, it should return the lexicographically smallest one. Hmm, let me think about how to approach this.... |
[
{
"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 | 107 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this problem where I have a connected undirected graph, and I can remove one edge to minimize the number of pairs of vertices that are still connected. Hmm. Let me think about how to approach this.
First, the problem is about minimizing the number of pairs of vertices (u, v) where u < ... |
[
{
"content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: For $x \\in \\mathbb{R}$, let $\\tan ^{-1}(x) \\in\\left(-\\frac{\\pi}{2}, \\frac{\\pi}{2}\\right)$. Then what... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 492 | JEEBench | {
"expected_answer": "0",
"problem_id": "8",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | <think>
Okay, so I need to find the minimum value of this function f(x) which is an integral from 0 to x arctangent of x of e^(t - cos t) over 1 + t^2023 dt. Hmm, first, let me make sure I understand the problem correctly. The function f is defined as an integral that depends on x, and we need to find its minimum value... |
[
{
"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 of the following styles of fuzzer is more likely to explore paths covering every line of code in the following program?\nOptions: A. Syntax-bas... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 499 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out which type of fuzzer is more likely to explore every line of code in a program. The options are A to J, which are different styles of fuzzers. Let me start by recalling what each of these terms means.
First, fuzzers are tools used to test software by providing invalid, unexpected,... |
[
{
"content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.For a positive integer X, the Dragon String of level X is a string of length (X+3) formed by one L, X occurrences of o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 360 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | def generate_dragon_string():
import sys
def dragon_string(n):
# Check if the input is within the constraints
if not 1 <= n <= 2024:
raise ValueError("N must be between 1 and 2024")
# Define the components of the Dragon String
components = {'L': 1, 'o': ... |
[
{
"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 $l_{1}, l_{2}, \\ldots, l_{100}$ be consecutive terms of a... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 381 | JEEBench | {
"expected_answer": "18900",
"problem_id": "6",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to solve this problem where there are two arithmetic progressions, one for lengths and one for widths, with a common difference product of 10. Then, each term is used to form a rectangle with area A_i = l_i * w_i. The difference between A_51 and A_50 is 1000, and I need to find A_100 - A_90. Let... |
[
{
"content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: What is wrong with the following statement? \"In many desert plants the roots grow very deep because they are searching out for deep underground wate... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 240 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out what's wrong with the statement: "In many desert plants the roots grow very deep because they are searching out for deep underground water to supply the plant." The options are given, and I have to choose the correct one that explains why the statement is incorrect.
First, let me ... |
[
{
"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 | 223 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To tackle this problem, I need to understand the relationship between the function f(i) and how it's influenced by the mex operation. The key idea is that f(i) represents the maximum value of x after performing any number of operations starting with x = i. Each operation replaces x with the mex of x and the elements of... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: There has been an outbreak of an viral infectious disease in your city. You have been asked to design a molecular diagnostic kit for quick detection of this retrovirus. ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 156 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so the problem is about designing a molecular diagnostic kit for a retroviral outbreak. Let me think through the steps carefully.
First, I need to recall what a retrovirus is. Retroviruses have RNA as their genetic material, which they reverse-transcribe into DNA to integrate into the host genome. So, wh... |
[
{
"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: Two identical non-conducting solid spheres of same mass and charge are... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 280 | JEEBench | {
"expected_answer": "AC",
"problem_id": "11",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | <think>
Okay, let me try to figure out this physics problem. So, we have two identical non-conducting solid spheres, right? They have the same mass and charge. They're suspended from a common point by massless strings of the same length. When they're in air, at equilibrium, the angle between the strings is α. Then they... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A vector field f(r) falls off radially as 1/r^2 from the origin, i.e. the magnitude of the field is f(r) = 1/r^2. The field has non-zero component only along the radial... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 135 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to evaluate the volume integral of the divergence of the vector field f(r) inside a sphere of radius R centered at the origin. The vector field falls off as 1/r² radially, meaning its magnitude is f(r) = 1/r². It only has a radial component in spherical coordinates. The options are A) 1, B) 0, C... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 322 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to solve this binomial coefficient problem where the formula is slightly wrong. The user mentioned that the correct formula is C[n][k] = C[n-1][k] + C[n-1][k-1], but the code provided uses a different formula. The task is to compute the coefficients using the wrong formula and output them modulo... |
[
{
"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 industrial research lab, a scientist performs ethylene polymerization with a homogeneous organometallic catalyst system, generating a polymer of high density. He i... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 164 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, let's try to tackle this question. So, the problem is about a scientist who's polymerizing ethylene using a homogeneous organometallic catalyst to make a high-density polymer. Now, he wants to add a second catalyst system to introduce regular branches in the polymer backbone, still using only ethylene as ... |
[
{
"content": "Problem: Let $A$ , $B$ , $C$ , and $D$ be points on the hyperbola $\\frac{x^2}{20}- \\frac{y^2}{24} = 1$ such that $ABCD$ is a rhombus whose diagonals intersect at the origin. Find the greatest real number that is less than $BD^2$ for all such rhombi.\nMark your solution with \\boxed\nA... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 7,
"temperature": 0.7
} | 7 | 23 | AIME24 | {
"expected_answer": "480",
"problem_id": "aime24-23",
"reference_solution": "A quadrilateral is a rhombus if and only if its two diagonals bisect each other and are perpendicular to each other. The first condition is automatically satisfied because of the hyperbola's symmetry about the origin. To satisfy the sec... | <think>
Okay, so I need to find the greatest real number that is less than \( BD^2 \) for all rhombi \( ABCD \) inscribed in the hyperbola \( \frac{x^2}{20} - \frac{y^2}{24} = 1 \), with diagonals intersecting at the origin. Hmm, let's start by recalling some properties of hyperbolas and rhombi.
First, the given hyper... |
[
{
"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 | 81 | CodeForces | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Okay, so I need to solve this osu!mania problem where the task is to determine the column of each note in a beatmap, processed from the bottommost row to the topmost row. Let me break down the problem step by step.
First, the problem mentions a beatmap with n rows and 4 columns. Each row has exactly one note represent... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 367 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | Okay, let's tackle this problem step by step. First, I need to understand the problem statement. We have a cyclic array of length n (n is odd), and each operation allows us to increase the element before the current one (i-1) by 1, the current one (i) by 2, and the next one (i+1) by 1. The goal is to make all elements ... |
[
{
"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, and an integer k.\nIn one operation, you can remove one occurrence of the smallest element of nums.\nReturn the m... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 188 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to figure out a Python function that will return the minimum number of operations needed to make all elements of a given array `nums` greater than or equal to `k`. Each operation consists of removing one occurrence of the smallest element of `nums`. The function should handle the examples provid... |
[
{
"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 the remainder of (x + y) divided by 10^8.\nYou are given a sequence o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 442 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | from typing import List
def compute_expression(N: int, A: List[int]) -> int:
# Precompute the sum of all pairs modulo 10^8
total_sum = sum(A[i] + A[j] for i in range(N) for j in range(i+1, N)) % 100000000
print(total_sum)
if __name__ == "__main__":
import sys
input = sys.stdin.read
data = inpu... |
[
{
"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 consisting of lowercase English letters. Find the character that appears most frequently in S... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 370 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <think>
Okay, so I need to create a Python function that takes a string from standard input and prints the character that appears most frequently. If there are multiple characters with the same highest frequency, it should print the one that comes first alphabetically. Let me think about how to approach this step by st... |
[
{
"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 $X$ be a set with exactly 5 elements and $Y$ be a set with... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 174 | JEEBench | {
"expected_answer": "119",
"problem_id": "45",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <think>
Okay, so I need to find the value of (β - α)/5! where α is the number of one-one functions from set X to set Y, and β is the number of onto functions from Y to X. Let me start by understanding the problem better.
First, set X has 5 elements, and set Y has 7 elements. Since both α and β are counts of certain fu... |
[
{
"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 an experiment for determination of the focal length of a thin convex lens, the distance of the object from ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 471 | JEEBench | {
"expected_answer": "1",
"problem_id": "27",
"reference_solution": null,
"subject": "phy",
"type": "Integer"
} | <think>
Okay, so I need to find the error in the determination of the focal length of a convex lens based on the given measurements and their uncertainties. The object distance is 10 cm with an uncertainty of 0.1 cm, and the image distance is 20 cm with an uncertainty of 0.2 cm. Then, the error in the focal length is g... |
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