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null | [
{
"from": "human",
"value": "Write a Python code that takes a string and replaces all the non-alphanumeric characters with a given character, but only if the character is not surrounded by alphanumeric characters. The code should handle strings of any length efficiently.\n\nstring = 'Hello, world!'\ncharact... | Write a Python code that takes a string and replaces all the non-alphanumeric characters with a given character, but only if the character is not surrounded by alphanumeric characters. The code should handle strings of any length efficiently.
string = 'Hello, world!'
character = '#'
Example Input:
string = 'Hello, w... | null | null | null | null | null | null | null | null | 2,154 | [
"<think>\nOkay, I need to write a Python function that replaces all non-alphanumeric characters in a string with a given character. But wait, the catch is that this replacement should happen only if the non-alphanumeric character is not surrounded by alphanumeric characters on both sides. Hmm, this requires some th... | [
"<think>\nOkay, I need to write a Python function that replaces all non-alphanumeric characters in a string with a given character. But wait, the catch is that this replacement should happen only if the non-alphanumeric character is not surrounded by alphanumeric characters on both sides. Hmm, this requires some th... | <think>
Okay, I need to write a Python function that replaces non-alphanumeric characters in a string with a given character, but only if that character isn't surrounded by alphanumeric characters. Hmm, wait, the wording might be tricky. Oh, right, wait, the task says to replace all non-alphanumeric characters in the s... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Prove that the sum of the squares of the distances from an arbitrary point on the plane to two opposite vertices of a rectangle is equal to the sum of the squares of the distances from this point to the other two vertices of the rectan... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find all pairs of natural numbers \\((x, y)\\) such that \\( \\gcd(x, y) + \\frac{x y}{\\gcd(x, y)} = x + y \\)."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to find all pairs of natural numb... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. The sequence \\(\\left\\{a_{n}\\right\\}\\) is a nonnegative sequence of real numbers, and satisfies \\(a_{k} - 2a_{k+1} + a_{k+2} \\geq 0\\) and \\(\\sum_{i=1}^{k} a_{i} \\leq 1\\) for \\(k = 1, 2, \\cdots\\). Prove that:\n$$\n0 \\leq... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.Find the number of ways that a given integer, $\\mbox{X}$, can be expressed as the sum of the $N^{\\... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.After Fox Ciel won an onsite round of a programming contest, she took a bus to return to her castle.... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find the product of $218_9 \\cdot 5_9$. Express your answer in base 9."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let me try to figure out how to multiply these two numbers in base 9. The problem is... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Simplify \\(\\frac{\\sqrt{1 - 2 \\sin 20^\\circ \\cos 20^\\circ}}{\\cos 20^\\circ - \\sqrt{1 - \\cos^2 160^\\circ}}\\). \n\nA. \\(\\sqrt{1 - \\sin 40^\\circ}\\)\n\nB. \\(\\frac{1}{\\cos 20^\\circ - \\sin 20^\\circ}\\)\n\nC. 1\n\nD. -1"... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Does there exist a polynomial \\( f(x) \\) of degree 6 such that for any \\( x \\) the equality \\( f(\\sin x) + f(\\cos x) = 1 \\) holds?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to figu... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A taxi charges as follows: 10 yuan for the first 4 kilometers, 1.2 yuan per kilometer from 4 kilometers to 15 kilometers, and 2.2 yuan per kilometer for distances beyond 15 kilometers. How much would a fare be for a passenger traveling... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Two buses operate on a circular route, and the interval between them is 21 minutes. What is the interval if three buses operate on the route?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so there's thi... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let \\(ABC\\) be a triangle with \\(AB > AC\\) and let \\(M\\) be the midpoint of side \\(AC\\). Furthermore, let \\(D\\) be a point on side \\(AB\\) such that \\(DB = DC\\). The parallel to \\(BC\\) through \\(D\\) and the line \\(BM\... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find the range of the function \\( y=\\frac{x}{1+x^{2}} \\)."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to find the range of the function y = x/(1 + x²). Hmm, the range is all the possible ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.Given an array of digits (values are from 0 to 9), find the minimum possible sum of two numbers form... | null | null | null | null | null | null | null | null | null | null | null | null | null |
null | [
{
"from": "human",
"value": "You are tasked with implementing a function to find the top events based on their occurrence count. Given a dictionary `match` containing keys representing different events and their corresponding occurrence count, you need to write a function `find_top_events(match, n)` that re... | You are tasked with implementing a function to find the top events based on their occurrence count. Given a dictionary `match` containing keys representing different events and their corresponding occurrence count, you need to write a function `find_top_events(match, n)` that returns a list of the top `n` events based ... | null | null | null | null | null | null | null | null | 5,068 | [
"<think>\nOkay, so I need to write a Python function called find_top_events which takes a dictionary called match and an integer n. The function should return a list of the top n events based on their occurrence count. Hmm, let's think about how to approach this.\n\nFirst, the dictionary's keys are in the format \"... | [
"<think>\nOkay, so I need to write a Python function called find_top_events which takes a dictionary called match and an integer n. The function should return a list of the top n events based on their occurrence count. Hmm, let's think about how to approach this.\n\nFirst, the dictionary's keys are in the format \"... | <think>
Okay, I need to solve this problem where I'm given a dictionary called 'match' and an integer 'n'. The function is called find_top_events and should return a list of the top n events based on their occurrence count. Hmm, but wait, the events are stored with keys like "top_events_event1", right? So first, I need... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Through the centroid \\( O \\) of triangle \\( ABC \\), a line is drawn intersecting its sides at points \\( M \\) and \\( N \\). Prove that \\( NO \\leq 2 MO \\)."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A discrete random variable \\(X\\) has three possible values: \\(x_1 = 1\\), \\(x_2\\), and \\(x_3\\), with \\(x_1 < x_2 < x_3\\). The probabilities that \\(X\\) takes the values \\(x_1\\) and \\(x_2\\) are 0.3 and 0.2, respectively. T... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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 two integers $A$ and $B$, calculate the number of pairs $(a, b)$ such that $1 \\le a \... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given a circle \\( \\odot O \\) with diameter \\( AK \\), point \\( M \\) is inside \\( \\odot O \\) but not on \\( AK \\). Line \\( AM \\) intersects \\( \\odot O \\) at point \\( Q \\) for the second time. A perpendicular line from p... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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 middle of a nightmare, Maxine suddenly finds herself in a mysterious room with the following ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Using five sixes, arithmetic operations, and exponentiation, form numbers from 1 to 14."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to figure out how to create numbers from 1 to 14 using exa... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. The first $510$ positive integers are written on a blackboard: $1, 2, 3, ..., 510$ . An *operation* consists of of erasing two numbers whose sum is a prime number. What is the maximum number of operations in a row what can be done? ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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 official capital and the cultural capital of Berland are connected by a single road running thro... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find all integers \\( n \\) such that \\( 2^n + 3 \\) is a perfect square. The same question with \\( 2^n + 1 \\)."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nAlright, so I have this problem: find all integ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A large rectangle is composed of three identical squares and three identical small rectangles. The perimeter of a square is 24, and the perimeter of a small rectangle is 16. What is the perimeter of the large rectangle?\n\nThe perimete... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. In a round-robin tournament with no draws, 1 point was awarded for a win and 0 points for a loss. Then, a coefficient was determined for each participant, which was equal to the sum of the points scored by those whom the participant de... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Compute the sum \\(1+2x+3x^{2}+\\ldots+nx^{n-1}\\) by differentiating the equality \\(1+x+x^{2}+\\ldots+x^{n}=\\frac{1-x^{n+1}}{1-x}\\)."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to comput... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Is it possible to arrange 6 pencils so that any two of them touch? The same question for 7 pencils."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to figure out if it's possible to arrange 6 pe... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.Read problems statements in mandarin chinese, russian and vietnamese as well. \n\nYou are given 2 ar... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. \nGiven a positive integer \\( n \\), a polynomial \\( P(x) \\) of degree \\( n \\) with rational coefficients is known to be irreducible over \\( \\mathbb{Q}[x] \\). A non-constant polynomial \\( Q(x) \\) with rational coefficients an... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Someone initially has 64 yuan and makes 6 bets, winning three times and losing three times in any order. The probability of winning is equal to the probability of losing. If each bet is for half of the remaining money at the time, what... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Journalists found out that:\n\na) In the lineage of King Pafnutius, all descendants are male: the king had 2 sons, 60 of his descendants also had 2 sons each, and 20 had one son each.\n\nb) In the lineage of King Zenobius, all descenda... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let $\\sigma(n)$ be the sum of the prime divisors of $n$ (counted without multiplicity). Find all $n$ such that:\n\n$$\n\\sigma\\left(2^{n}+1\\right)=\\sigma(n)\n$$"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find all positive real numbers \\( a \\) such that the equation\n\\[ a^2 x^2 + ax + 1 - 13a^2 = 0 \\]\nhas two integer roots."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to find all positive... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. The points $M$ and $N$ are on the side $BC$ of $\\Delta ABC$ , so that $BM=CN$ and $M$ is between $B$ and $N$ . Points $P\\in AN$ and $Q\\in AM$ are such that $\\angle PMC=\\angle MAB$ and $\\angle QNB=\\angle NAC$... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.Rushitote went to a programming contest to distribute apples and oranges to the contestants. \nHe ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. On an \\( n \\times n \\) chessboard, place \\( n^2 - 1 \\) pieces (with \\( n \\geq 3 \\)). The pieces are numbered as follows:\n$$\n(1,1), \\cdots, (1, n), (2,1), \\cdots, (2, n), \\cdots, (n, 1), \\cdots, (n, n-1).\n$$\n\nThe chessb... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Using the digits 1, 2, 3, and 4 (with digits allowed to be repeated), how many $n$-digit numbers ($n \\geqslant 2$) can be formed that contain an odd number of 1's, an even number of 2's, and at least one 3?"
},
{
"from": "assi... | null | null | null | null | null | null | null | null | null | null | null | null | null |
null | [
{
"from": "human",
"value": "Please focus on the efficiency of this problem and provide code in Go:\nYou start at the cell `(rStart, cStart)` of an `rows x cols` grid facing east. The northwest corner is at the first row and column in the grid, and the southeast corner is at the last row and column.\n\nYou ... | Please focus on the efficiency of this problem and provide code in Go:
You start at the cell `(rStart, cStart)` of an `rows x cols` grid facing east. The northwest corner is at the first row and column in the grid, and the southeast corner is at the last row and column.
You will walk in a clockwise spiral shape to vis... | null | null | null | null | null | null | null | null | 826 | [
"<think>\nAlright, I need to solve this problem where I have to simulate walking in a clockwise spiral starting from a given position in a grid. Hmm, okay. Let's break down what's needed.\n\nSo, the idea is to move in a spiral, but the movement can go outside the grid and then come back. Every position according to... | [
"<think>\nAlright, I need to solve this problem where I have to simulate walking in a clockwise spiral starting from a given position in a grid. Hmm, okay. Let's break down what's needed.\n\nSo, the idea is to move in a spiral, but the movement can go outside the grid and then come back. Every position according to... | <think>
Okay, so I've got this problem to solve where I need to generate a spiral path in a grid, starting from a given point and moving in a clockwise spiral. Hmm, let me think about how to approach this.
First, I remember that spirals usually involve moving in a direction for a certain number of steps, then turning ... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given \\( M=\\left\\{(x, y) \\mid x^{2}+2 y^{2}=3\\right\\} \\) and \\( N=\\{(x, y) \\mid y=mx+b\\} \\). If for all \\( m \\in \\mathbf{R} \\), it holds that \\( M \\cap N \\neq \\varnothing \\), what is the range of values for \\( b \... | null | null | null | null | null | null | null | null | null | null | null | null | null |
null | [
{
"from": "human",
"value": "I need to create a Rust program that can retrieve a personal access token for a specific provider. The program should have an enum called Provider with a variant for Github. It should also have a method called from_domain that takes a domain string and returns the corresponding ... | I need to create a Rust program that can retrieve a personal access token for a specific provider. The program should have an enum called Provider with a variant for Github. It should also have a method called from_domain that takes a domain string and returns the corresponding Provider enum value. Additionally, there ... | null | null | null | null | null | null | null | null | 616 | [
"<think>\nOkay, so I need to create a Rust program that can retrieve a personal access token for a specific provider. The user has given me some specific requirements, so I should break this down step by step.\n\nFirst, the program needs an enum called Provider with a variant for Github. That's straightforward. Enu... | [
"<think>\nOkay, so I need to create a Rust program that can retrieve a personal access token for a specific provider. The user has given me some specific requirements, so I should break this down step by step.\n\nFirst, the program needs an enum called Provider with a variant for Github. That's straightforward. Enu... | <think>
Okay, so I need to create a Rust program that retrieves a personal access token for a specific provider, starting with Github. Let me break down the requirements.
First, there's an enum called Provider with a Github variant. That seems straightforward. I'll define the enum and make sure the variant is correctl... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A cylinder \\( C \\) and a cone \\( K \\) are circumscribed around a sphere; the volumes of the cylinder and cone are denoted by \\( V_{1} \\) and \\( V_{2} \\), respectively. What is the minimum possible value of \\( v \\) if \\( V_{1... | null | null | null | null | null | null | null | null | null | null | null | null | null |
null | [
{
"from": "human",
"value": "In the realm of data structures, arrays can be conceptualized as an arena for a bouncing ball, a notion that may initially appear abstract. To elucidate, consider the subsequent input example: \n[1, 2, 3, 4, 5, 6, 7, 8, 9] \n[9, 8, 7, 6, 5, 4, 3, 2, 1] \n[1, 2, 3, 4, 5, 6, 7,... | In the realm of data structures, arrays can be conceptualized as an arena for a bouncing ball, a notion that may initially appear abstract. To elucidate, consider the subsequent input example:
[1, 2, 3, 4, 5, 6, 7, 8, 9]
[9, 8, 7, 6, 5, 4, 3, 2, 1]
[1, 2, 3, 4, 5, 6, 7, 8, 9]
Your objective is to compute and r... | null | null | null | null | null | null | null | null | 7,044 | [
"<think>\nOkay, I have this programming problem to solve, and it looks a bit tricky. Let's try to understand what's being asked here.\n\nSo, the problem is about bouncing arrays. From the examples given, it seems like the task involves taking some input arrays and producing some bounced arrays based on diagonal tra... | [
"<think>\nOkay, I have this programming problem to solve, and it looks a bit tricky. Let's try to understand what's being asked here.\n\nSo, the problem is about bouncing arrays. From the examples given, it seems like the task involves taking some input arrays and producing some bounced arrays based on diagonal tra... | <think>
Okay, so I need to solve this problem where given a list of arrays, I have to compute all the bounced arrays based on some diagonal trajectories. Hmm. Let me try to understand the problem thoroughly.
From the example given, the input has three arrays, each presumably having the same length. The problem's outpu... |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.Due to COVID19 all employees of chemical factory are quarantined in home. So, company is organized b... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "How do changes in nucleic acid sequences affect protein binding affinity in nucleic acid-protein interactions, and what implications does this have for gene regulation and disease?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let me try to work t... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Compute the number of quadruples \\((a, b, c, d)\\) of positive integers satisfying\n\\[ 12a + 21b + 28c + 84d = 2024. \\]"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to figure out how many ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given the positive integers \\(a_{0}, a_{1}, \\cdots, a_{3030}\\) satisfying\n$$\n2a_{n+2} = a_{n+1} + 4a_{n} \\quad (n = 0, 1, \\cdots, 3028),\n$$\n\nprove that among \\(a_{0}, a_{1}, \\cdots, a_{3030}\\), there is at least one number... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let $a \\oslash b = (\\sqrt{2a+b})^3$. If $4 \\oslash x = 27$, find the value of $x$."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need to solve this equation where the operation is defined as a o... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "What is the concentration of a sulfuric acid solution if 25.0 mL of the solution is titrated with 0.1 M sodium hydroxide, and it takes 42.5 mL of the sodium hydroxide to neutralize the acid?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A plane undergoes rotation successively around the centers \\( A, B, C, \\) and \\( D \\) in the same direction by \\( 90^{\\circ} \\) (around each center). Prove that the sum of these rotations is an identity if and only if the segmen... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. $AB$ is a chord of a circle with center $O$ , $M$ is the midpoint of $AB$ . A non-diameter chord is drawn through $M$ and intersects the circle at $C$ and $D$ . The tangents of the circle from points $C$ and $D$ intersec... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Two positive rational numbers \\(x\\) and \\(y\\), when written in lowest terms, have the property that the sum of their numerators is 9 and the sum of their denominators is 10. What is the largest possible value of \\(x + y\\)?"
},
... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. For which prime numbers \\( p \\) and \\( q \\) does the equation \\( p^{2x} + q^{2y} = z^2 \\) have a solution in natural numbers \\( x \\), \\( y \\), and \\( z \\)?"
},
{
"from": "assistant",
"value": "<|begin_of_thought... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find all odd integers \\( y \\) such that there exists an integer \\( x \\) satisfying\n\n\\[ x^{2} + 2 y^{2} = y x^{2} + y + 1. \\]"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let's see. I need to fi... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. In the acute triangle \\( \\triangle ABC \\), \\( AC = 1 \\), \\( AB = c \\), and \\( \\angle A = 60^\\circ \\). If the circumradius \\( R \\leq 1 \\) for \\( \\triangle ABC \\), then:\n(A) \\( \\frac{1}{2} < c < 2 \\);\n(B) \\( 0 < c ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let $[x]$ denote the greatest integer less than or equal to the real number $x$. Determine how many elements are in the set\n$$\n\\{[x]+[2x]+[3x] \\mid x \\in \\mathbb{R}\\} \\cap \\{1, 2, \\ldots, 100\\}.\n$$"
},
{
"from": "as... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A set of five different positive integers has a mean (average) of 20 and a median of 18. What is the greatest possible integer in the set?\n(A) 60\n(B) 26\n(C) 46\n(D) 12\n(E) 61"
},
{
"from": "assistant",
"value": "<|begin... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Anna and Boris move simultaneously towards each other, from points A and B respectively. Their speeds are constant, but not necessarily equal. Had Anna started 30 minutes earlier, they would have met 2 kilometers nearer to B. Had Boris... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Some natural numbers are marked. It is known that on every segment of the number line of length 1999, there is a marked number.\n\nProve that there exists a pair of marked numbers, one of which is divisible by the other."
},
{
... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.Read problem statements in [Hindi],[Bengali], [Mandarin Chinese], [Russian], and [Vietnamese] as wel... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. A rectangle had one corner cut off, leaving the other corners intact. How many corners does the shape now have?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let's try to figure out how many corners a r... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. The first element of the sequence \\(a_{n}\\) is a positive integer. The subsequent elements of the sequence are defined by\n\n\\[\na_{n}=\\frac{1}{2} a_{n-1} \\text{ if } a_{n-1} \\text{ is even, and } 3a_{n-1}+1 \\text{ if } a_{n-1} ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given two natural numbers $ w$ and $ n,$ the tower of $ n$ $ w's$ is the natural number $ T_n(w)$ defined by\r\n\r\n\\[ T_n(w) = w^{w^{\\cdots^{w}}},\\]\r\n\r\nwith $ n$ $ w's$ on the right side. More precisely, $ T_1(w)... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "What are the different mechanisms involved in regulating the expression of genes in eukaryotic cells, and how do these mechanisms impact the overall development and function of an organism?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, so I need t... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Five soccer teams held a tournament - each team played with each other once. For a win, 3 points were awarded, for a draw - 1 point, and no points were given for a loss. Four teams scored 1, 2, 5, and 7 points respectively. How many po... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. The first term of an infinite arithmetic progression of natural numbers is 1. Prove that among its members, one can find 2015 consecutive terms of a geometric progression."
},
{
"from": "assistant",
"value": "<|begin_of_tho... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. There are 14 parallel lines \\( L \\) and 15 perpendicular lines \\( P \\) drawn on a sheet of paper. The distances between consecutive lines in \\( L \\) from the first to the last are given: \\( 2, 4, 6, 2, 4, 6, 2, 4, 6, 2, 4, 6, 2 ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given three natural numbers 1, 2, 3, perform an operation by replacing one of these numbers with the sum of the other two. After performing this operation 9 times, what is the maximum possible value of the largest number among the resu... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. In the triangle \\( T_{a} = \\triangle A_{1}A_{2}A_{3} \\), there is an inscribed triangle \\( T_{b} = \\triangle B_{1}B_{2}B_{3} \\), and in the triangle \\( T_{b} \\) there is an inscribed triangle \\( T_{c} = \\triangle C_{1}C_{2}C_... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let the set $S_n = \\{1, 2, \\cdots, n\\}$. If $X$ is a subset of $S_n$, the sum of all numbers in $X$ is called the \"capacity\" of $X$. (The capacity of the empty set is defined to be 0.) If the capacity of $X$ is an odd (even) numbe... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. The straight river is one and a half kilometers wide and has a current of $8$ kilometers per hour. A boat capable of traveling $10$ kilometers per hour in still water, sets out across the water. How many minutes will it take the bo... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find the largest natural number \\( n \\) for which the system of inequalities\n\n\\[ 1 < x < 2, \\]\n\\[ 2 < x^2 < 3, \\]\n\\[ \\vdots \\]\n\\[ n < x^n < n+1 \\]\n\nhas a solution."
},
{
"from": "assistant",
"value": "<|be... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let \\( m > 1 \\). Under the constraints \\[\n\\begin{cases}\ny \\geqslant x, \\\\\ny \\leqslant mx, \\\\\nx + y \\leqslant 1,\n\\end{cases}\n\\]\nthe maximum value of the objective function \\( z = x + my \\) is less than 2. The range... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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 AtCoder City, there are three stations numbered 1, 2, and 3.\nEach of these stations is operated ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. What is the value of $(2019-(2000-(10-9)))-(2000-(10-(9-2019)))$?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let's try to figure out this problem step by step. The question is asking for the value of... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "The goal of this code golf is to create a program or function that calculates and outputs the cube root of a number that's given as input.\nThe rules:\n\nNo external resources\nNo use of built-in cube root functions.\nNo use of methods/operators that can raise a number to a power... | The goal of this code golf is to create a program or function that calculates and outputs the cube root of a number that's given as input.
The rules:
No external resources
No use of built-in cube root functions.
No use of methods/operators that can raise a number to a power (that includes square root, 4th root, etc.).... | Okay, I need to create a program or function that calculates the cube root of a given number without using any built-in cube root functions or power operators. Hmm, right. Let's think about how to approach this.
First, the cube root of a number x is a value y such that y³ = x. So I need to find y where y multiplied by... | To solve this problem, we need to compute the cube root of a given number without using built-in cube root functions or power operators. The solution must handle both floating-point numbers and negative values, and return the result rounded to four decimal places.
### Approach
The approach uses the Newton-Raphson meth... | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. In triangle \\( \\triangle ABC \\), \\( AB = 6 \\), \\( BC = 4 \\), and the length of the median to side \\( AC \\) is \\( \\sqrt{10} \\). Find the value of \\( \\sin^6 \\left( \\frac{A}{2} \\right) + \\cos^6 \\left( \\frac{A}{2} \\rig... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Through point \\( A \\) of the common chord \\( BC \\) of intersecting circles, a line is drawn that intersects the circles at points \\( D \\) and \\( E \\) respectively, such that line \\( BD \\) is tangent to one circle, and line \\... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. During a secret meeting, 20 trainees elect their favorite supervisor. Each trainee votes for two supervisors. It is known that for any two trainees, there is always at least one supervisor for whom both have voted. What is the minimum ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. 1. Find all prime numbers \\( p \\) such that \\( p \\mid (3^{p+1} - 2^{p+1}) \\).\n2. Do there exist infinitely many positive integers \\( n \\) such that \\( n! \\mid (3^{n-1} - 2^{n-1}) \\)?\n3. Do there exist infinitely many prime ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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.Joisino is planning to open a shop in a shopping street.\n\nEach of the five weekdays is divided int... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given 8 oranges on the table, 7 of them have exactly the same weight and the 8th is a little bit lighter. You are given a balance that can measure oranges against each other and you are allowed to use the balance at most twice. How can... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Find all twice differentiable functions \\( f(x) \\) such that \\( f''(x) = 0 \\), \\( f(0) = 19 \\), and \\( f(1) = 99 \\)."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let's see. I need to find all t... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let the positive integers \\( x \\) and \\( y \\) satisfy\n\n\\[ x^{2}+84x+2016=y^{2} \\]\n\nThen, what is the value of \\( x^{3}+y^{2} \\)?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let's see. I ne... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Your task is to write a file which contains a line with many pep8 violations. \nThe rules:\n\nWe use pep8 version 1.5.7 and the default settings. \nCalling pep8 with other command line options or using a custom rc file is not allowed. \nMaximum line length 120 characters. You ... | Your task is to write a file which contains a line with many pep8 violations.
The rules:
We use pep8 version 1.5.7 and the default settings.
Calling pep8 with other command line options or using a custom rc file is not allowed.
Maximum line length 120 characters. You can violate E501, sure, but the line which yo... | Okay, I need to create a Python file where one line has as many PEP8 violations as possible according to version 1.5.7 with default settings. The line must be <=120 characters. Let me think about the different PEP8 errors and how to trigger multiple ones on a single line.
First, let's recall the common PEP8 errors. Le... | To create a Python file with a line that maximizes PEP8 violations under version 1.5.7, we need to combine multiple errors in a single line. Here's the line with the highest number of violations:
**violation_line.py**
```python
x = { 'a' : [1 ,2 ,3 ] , } ; y = 5 #badcomment
```
**Violations Breakdown:**
1. **... | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. The sequence is defined by \\( a_{1} = m \\) (an arbitrary positive number), \\( a_{n+1} = \\frac{-1}{a_{n} + 1}, n = 1, 2, 3, \\ldots \\). For which values of \\( n \\) does \\( a_{n} = m \\) necessarily hold? The correct options are:... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. What type of line graphically represents: \na) direct proportionality of two variables?\nb) inverse proportionality of two variables?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let me try to figure o... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let \\( x \\in \\left(-\\frac{1}{2}, 0\\right) \\). Determine the order of the following three numbers: \\( a_1 = \\cos (\\sin x \\pi) \\), \\( a_2 = \\sin (\\cos x \\pi) \\), and \\( a_3 = \\cos ((x+1) \\pi) \\).\nA. \\( a_3 < a_2 < a... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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 regular polygon with n vertices labeled from 1 to n in counter-clockwise order. The ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given \\( n \\in \\mathbb{N} \\) and \\( a \\in [0, n] \\), under the condition\n$$\n\\sum_{i=1}^{n} \\sin ^{2} x_{i}=a\n$$\nfind the maximum value of \\( \\left| \\sum_{i=1}^{n} \\sin 2 x_{i} \\right| \\)."
},
{
"from": "assis... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "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 Hat is a game of speedy explanation/guessing words (similar to Alias). It's fun. Try it! In this... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. On a line segment $OA$ of length 1, two points $B$ and $C$ are randomly chosen. Let the length of segment $OB$ be $b$, and the length of segment $OC$ be $c$. What is the probability that $[\\ln b]=[\\ln c]$?\n"
},
{
"from": "as... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. In a box, there are 2011 white and 2012 black balls. Two balls are randomly drawn. If they are of the same color, they are discarded and a black ball is placed into the box. If they are of different colors, the black ball is discarded ... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Let n be a set of integers. $S(n)$ is defined as the sum of the elements of n. $T=\\{1,2,3,4,5,6,7,8,9\\}$ and A and B are subsets of T such that A $\\cup$ $B=T$ and A $\\cap$ $B=\\varnothing$ . The probability that $S(A)\\... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Ninety fair six-sided dice were rolled (each side of the dice is numbered from 1 to 6, and each side has the same probability of landing face up) and the sum of the rolled numbers was calculated. Which probability is greater: the proba... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. After the 8th round of the game, Zhuzhuxia has defeated 20 monsters. How many times has Zhuzhuxia been defeated by the monsters?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, let's try to figure this ou... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. Given that \\( E, F, D \\) are the midpoints of the sides \\([AB],[BC],[CA]\\) of a triangle \\(ABC\\) respectively. A perpendicular height \\([BG]\\) is drawn. Show that \\(\\widehat{EGF} = \\widehat{EDF}\\)."
},
{
"from": "as... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. \nGiven five points inside an equilateral triangle of area 1, show that one can find three equilateral triangles with total area at most 0.64 and sides parallel to the original triangle, so that each of the five points is inside one or... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. On two squares of a chessboard, there are black and white pieces. In one move, you can move either piece to an adjacent square vertically or horizontally (two pieces cannot occupy the same square). Is it possible for all possible confi... | null | null | null | null | null | null | null | null | null | null | null | null | null |
Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate solutions. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and iteration to develop w... | [
{
"from": "user",
"value": "Return your final response within \\boxed{}. \nLet \\( x \\) and \\( y \\) be positive numbers whose sum is equal to 2. Find the maximum value of the expression \\( x^2 y^2 (x^2 + y^2) \\)."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nAlright, so I nee... | null | null | null | null | null | null | null | null | null | null | null | null | null |
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