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<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|> \n\nSo I have this problem here: evaluate ⌈(-5/3)^2⌉. Let's break it down step by step.\n\nFirst, I need to understand what the ceiling function does. The ceiling function, denoted by ⌈x⌉, returns the smallest integer that is greater than or equal to x. For e... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nOkay, so I've got this problem about the thermal efficiency of a nuclear power plant that uses pressurized water reactors. I know that thermal efficiency is basically how well the plant converts the heat energy from the nuclear reactions into electrical po... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I've got this problem here about a grasshopper jumping on vowels in a string. Let's see what it's asking for.\n\nSo, the grasshopper is on a lawn and finds a string. It needs to jump from the start to the end, but it can only jump on vowels: A, E,... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Consider the set of numbers $\\{1, 10, 10^2, 10^3, \\ldots, 10^{10}\\}$. The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?\n$\\textbf{(A)}\\ 1 \\qquad\\textbf{(B)}\\ 9 \\qquad\\textbf{(C)}\\ 10 \\qquad\\textbf... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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.Polycarp watched TV-show where k jury members one by one rated a participant by adding him a certain... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I'm trying to solve this problem where Evi has N integers, and he wants to make all of them equal by transforming some of them. Transforming an integer x into another integer y costs (x - y)^2 dollars. I need to find the minimum total cost to achi... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's see what it's asking for. So, there's this game called Sirtet, where you have an n by m grid, and each cell has some number of cubes stacked on it, between L and R inclusive. The player can perform two types o... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Two cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a $\\diamondsuit$ and the second card is an ace?"
},
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"value": "<|begin_of_thought|>\n\nSo I've got this probability problem here: \"T... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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.One day you were visiting a museum where you saw a modern piece of art that shows a grid of $N$ rows... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, so I have this problem here. It seems a bit tricky, but I think I can figure it out. Let's see what it's asking for.\n\nSo, the problem is about reconstructing the weights of individual items from the multiset of all possible subset sums. Given th... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Expand $(2t^2 -3t+2)(-3t^2 + t-5)$."
},
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"value": "<|begin_of_thought|>\n\nSo I need to expand this expression: $(2t^2 -3t+2)(-3t^2 + t-5)$. I'm a bit rusty on expanding polynomials, but I remember that I have to multiply each term in the first p... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "The area of a circle is doubled when its radius $r$ is increased by $n$. Then $r$ equals:\n$\\textbf{(A)}\\ n(\\sqrt{2} + 1)\\qquad \\textbf{(B)}\\ n(\\sqrt{2} - 1)\\qquad \\textbf{(C)}\\ n\\qquad \\textbf{(D)}\\ n(2 - \\sqrt{2})\\qquad \\textbf{(E)}\\ \\frac{n\\pi}{\\sqrt{2}... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "\"How can the concept of cosmic strings help predict the behavior of matter falling into a black hole? Analyze any underlying physics principles that govern the potential connection between black holes and cosmic strings in the universe.\""
},
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"... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this geometry problem here. It's about an isosceles right triangle \\(ABC\\) with the right angle at \\(C\\), and the area is given as 12.5. The rays trisecting angle \\(ACB\\) intersect side \\(AB\\) at points \\(D\\) and \\(E\\), and I need to ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I'm trying to solve this problem about Manao trying to achieve a certain rank in a tournament by strategically investing effort into winning fights against various contestants. Let's break down the problem and understand what's being asked.\n\nSo,... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I have this problem to solve. Let's read it carefully.\n\nSo, Vova found n candy wrappers. He bought candies over k days, where on the first day he bought x candies, the second day 2x, the third day 4x, and so on, up to the k-th day when he bought... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. So, we have an integer \\( p \\) such that \\( q = 2^p - 1 \\) is a prime, and \\( n = 2^{p-1} q \\). We need to prove that the sum of the reciprocals of the divisors of \\( n \\) is 2.\n\nFirst, I need to understand... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I'm trying to solve this geometry problem. Let's see what we have here. We have triangle ABC with sides AC = BC = 7 and AB = 2. So, it's an isosceles triangle with AC and BC both equal to 7, and the base AB is 2. Then there's a point D on the line AB su... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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.For an integer n not less than 0, let us define f(n) as follows:\n - f(n) = 1 (if n < 2)\n - f(n) = ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nSo I have this problem about counting the number of memorable telephone numbers. The telephone number is in the form \\(d_1d_2d_3\\)-\\(d_4d_5d_6d_7\\), and it's considered memorable if the prefix \\(d_1d_2d_3\\) is exactly the same as either \\(d_4d_5d_6\... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\nSo I've got this problem here: I need to find the maximum value of \\( n \\) such that there exists a set of distinct positive integers \\( k_1, k_2, \\dots, k_n \\) for which the sum of their squares equals 2002. The options given are from 14 to 18.\n\nFirs... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Prove that there exist infinitely many pairs of consecutive natural numbers such that the prime factorization of each number in the pair contains every prime factor with at least the second power. Examples of such pairs are: $(8, 9)$, $(288, 289)$."
},
{
"from": "assistan... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nI'm going to tackle this problem step by step. So, we have a function \\( m(r) \\) defined for real numbers \\( r > 0 \\), and it's defined as the minimum of the absolute differences between \\( r \\) and the square root of \\( m^2 + 2n^2 \\), where \\( m ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Express as a common fraction: $\\cfrac{ \\frac{2}{5}+\\frac{3}{4} }{ \\frac{4}{9}+\\frac{1}{6}}$."
},
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"value": "<|begin_of_thought|>\n\nSo I have this problem to solve: express as a common fraction the expression \\(\\frac{ \\frac{2}{5} ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's see what it's asking for. So, I'm given an array of numbers, and I need to find the longest subsequence where the least common multiple (LCM) of the elements in that subsequence is less than or equal to a give... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nAlright, let's tackle this problem. So, I need to calculate the enthalpy change for dissolving 10 grams of sodium hydroxide (NaOH) in excess water. The final temperature of the solution is 25°C, and I'm given the specific heat capacity of the solution as 4... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Find the sum of all [positive](https://artofproblemsolving.com/wiki/index.php/Positive_number) [rational numbers](https://artofproblemsolving.com/wiki/index.php/Rational_number) that are less than 10 and that have [denominator](https://artofproblemsolving.com/wiki/index.php/Denom... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I have this problem to solve. Let me read it carefully.\n\nSo, Dolphin received a string s of length 19. The string has a specific format: five lowercase English letters, followed by a comma, then seven lowercase English letters, another comma, an... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let $P$ be a point inside $\\triangle ABC$. The necessary and sufficient condition for $P$ to be the exact Brocard point is \n$$\n\\frac{S_{\\triangle P B C}}{c^{2} a^{2}}=\\frac{S_{\\triangle P C A}}{a^{2} b^{2}}=\\frac{S_{\\triangle P A B}}{b^{2} c^{2}}=\\frac{S_{\\triangle A ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let $S = 1 - 2 + 3 - 4 + \\cdots + 2009 - 2010$. What is the residue of $S$, modulo 2010?"
},
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"value": "<|begin_of_thought|>\nLet's tackle this problem step by step. So, we have this sum S = 1 - 2 + 3 - 4 + ... + 2009 - 2010, and we need to find... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nOkay, so I've got this question here: \"What can you do if you say 'icw'?\" And there are several options to choose from. Let's see, the options are A: speak out, B: wait, C: petite, D: chemical reaction, and E: nigger. Hmm, first off, \"icw\" doesn't seem... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's see what it's asking for. So, I've polled n people, and for each person, I have three pieces of data: a_i, which is the number of digits of pi they've memorized; b_i, the number of hairs on their head; and c_i... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, so I've got this question about ADHD and its genetic basis, and how it affects brain development and behavior. I'm not super familiar with ADHD, but I know it's a common disorder that affects attention and causes hyperactivity. I think it has some... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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 Rebel fleet is afraid that the Empire might want to strike back again. Princess Heidi needs to k... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Altitudes $\\overline{AP}$ and $\\overline{BQ}$ of an acute triangle $\\triangle ABC$ intersect at point $H$. If $HP=5$ while $HQ=2$, then calculate $(BP)(PC)-(AQ)(QC)$. [asy]\nsize(150); defaultpen(linewidth(0.8));\npair B = (0,0), C = (3,0), A = (2,2), P = foot(A,B,C), Q = foo... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I need to solve this problem. Let's understand what's being asked. George woke up and saw the current time on a digital clock, which is given as s, and he knows he slept for t hours. I need to find out when he went to bed, which could be yesterday... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I need to tackle this question about dark matter and dark photons. So, dark matter is this mysterious stuff that doesn't emit light, but we know it's there because of its gravitational effects on galaxies and such. Dark photons are a hypothetical ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "\"How does the signaling molecule, epinephrine, trigger the activation of adenylyl cyclase and subsequent cAMP production in the signal transduction pathway?\""
},
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"value": "<|begin_of_thought|>\n\nAlright, so I've got this question about how ep... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nIn this problem, we have a right triangle ABC with the right angle at C, hypotenuse AB, and legs AC = 12 and BC = 35. We need to find the ratio of the perimeter of triangle ABI to the length of AB, where I is a point outside the triangle such that AI and B... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "What will be the effect on the equilibrium constant (Kc) of the chemical reaction N2O4(g) ⇌ 2NO2(g) when the temperature is increased from 25°C to 50°C? Show the calculation and explain the observed effect on the value of Kc."
},
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"value": "<|beg... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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 playing the following game. There are n points on a plane. They are the vertices of a regula... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "The equilibrium constant Kc for the reaction N2O4(g) ⇌ 2NO2(g) is 4.63 × 10^-3 at a certain temperature. If the initial concentration of N2O4(g) is 0.25 M, what will be the equilibrium concentration of NO2(g)?"
},
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"value": "<|begin_of_thought|>\... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "The [set](https://artofproblemsolving.com/wiki/index.php/Set) $\\{3,6,9,10\\}$ is augmented by a fifth element $n$, not equal to any of the other four. The [median](https://artofproblemsolving.com/wiki/index.php/Median) of the resulting set is equal to its [mean](https://artofpro... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let $n \\geq 2$ be an integer. Carl has $n$ books arranged on a bookshelf.\nEach book has a height and a width. No two books have the same height, and no two\nbooks have the same width.\nInitially, the books are arranged in increasing order of height from left to right. In a\nmov... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "In trapezoid $ABCD$ with $\\overline{BC}\\parallel\\overline{AD}$, let $BC = 1000$ and $AD = 2008$. Let $\\angle A = 37^\\circ$, $\\angle D = 53^\\circ$, and $M$ and $N$ be the midpoints of $\\overline{BC}$ and $\\overline{AD}$, respectively. Find the length $MN$.\n"
},
{
... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Square $ABCD$ has sides of length 2. Set $S$ is the set of all line segments that have length 2 and whose endpoints are on adjacent sides of the square. The midpoints of the line segments in set $S$ enclose a region whose area to the nearest hundredth is $k$. Find $100k$.\n"
},... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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.There are n types of coins in Byteland. Conveniently, the denomination of the coin type k divides th... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "For every \\( r \\in \\mathbb{N} \\), there exists \\( n \\in \\mathbb{N} \\) such that every graph with at least \\( n \\) vertices contains either \\( K^{r} \\) or \\( \\overline{K^{r}} \\) as an induced subgraph."
},
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"value": "<|begin_of_thou... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "In the $xy$-plane, the segment with endpoints $(-5,0)$ and $(25,0)$ is the diameter of a circle. If the point $(x,15)$ is on the circle, then $x=$\n$\\textbf{(A)}\\ 10 \\qquad\\textbf{(B)}\\ 12.5 \\qquad\\textbf{(C)}\\ 15\\qquad\\textbf{(D)}\\ 17.5 \\qquad\\textbf{(E)}\\ 20$"
}... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "The equations $x^3 + Ax + 10 = 0$ and $x^3 + Bx^2 + 50 = 0$ have two roots in common. Then the product of these common roots can be expressed in the form $a \\sqrt[b]{c},$ where $a,$ $b,$ and $c$ are positive integers, when simplified. Find $a + b + c.$"
},
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"from": "a... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "John draws a regular five pointed star in the sand, and at each of the 5 outward-pointing points and 5 inward-pointing points he places one of ten different sea shells. How many ways can he place the shells, if reflections and rotations of an arrangement are considered equivalent... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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 an experienced Codeforces user. Today you found out that during your activity on Codeforces ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|> \n\nSo I've got this geometry problem here involving two circles and a line that passes through their points of intersection. Let me try to understand what's being asked and how to approach it.\n\nFirst, there are two circles given:\n\n1. Circle 1: Center at ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I've got this equation: \\( x^2 + 2x = i \\). It's a quadratic equation, but it's set equal to \\( i \\), which is the imaginary unit. I need to find the product of the real parts of its two complex solutions. Okay, let's start by rewriting the equation... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nAlright, I'm trying to solve this problem about road networks and shortest paths. Let's see what it's asking for.\n\nWe have a country with N cities and M one-way roads. Each road has a length, and we're given the origin, destination, and length for each r... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "At a round table, there are 300 people: some of them are knights, and the others are liars. Anton asked each of them: \"How many liars are among your neighbors?\" and summed the received numbers. Then Anna did the same. When answering the question, knights always tell the truth, ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let \\( p \\equiv -1 \\pmod{4} \\) be a prime number. Prove that for any \\( n \\in \\mathbf{N}^{*} \\), the equation\n\\[ p^{n} = x^{2} + y^{2} \\]\nhas no positive integer solutions."
},
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"value": "<|begin_of_thought|>\n\nLet's tackle this prob... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Figures $0$, $1$, $2$, and $3$ consist of $1$, $5$, $13$, and $25$ nonoverlapping unit squares, respectively. If the pattern were continued, how many nonoverlapping unit squares would there be in figure 100?\n\n\n$\\textbf{(A)}\\ 10401 \\qquad\\textbf{(B)}\\ 19801 \\qquad\\textbf... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "In a new school $40$ percent of the students are freshmen, $30$ percent are sophomores, $20$ percent are juniors, and $10$ percent are seniors. All freshmen are required to take Latin, and $80$ percent of the sophomores, $50$ percent of the juniors, and $20$ percent of the senior... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nLet's see. I have to determine which of these statements about the binary operation of averaging are always true. The statements are:\n\nI. Averaging is associative.\n\nII. Averaging is commutative.\n\nIII. Averaging distributes over addition.\n\nIV. Addit... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this problem here. It says that \\(f(x)\\) is a function defined only for \\(0 \\leq x \\leq 1\\), and it's given by \\(f(x) = ax + b\\), where \\(a\\) and \\(b\\) are constants, and specifically, \\(a < 0\\). I need to find the range of \\(f\\) ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this problem here: I need to find a point on each of the 12 edges of an octahedron such that these points form the vertices of an icosahedron inscribed within the given octahedron. Hmm, that sounds a bit tricky, but let's see if I can figure it o... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nSo I've got this problem here. Let's see what it's asking.\n\nAn automobile travels \\( \\frac{a}{6} \\) feet in \\( r \\) seconds. If this rate is maintained for 3 minutes, how many yards does it travel in that time?\n\nOkay, first things first, I need to... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. We have two equations:\n\n1. \\(\\frac{1}{x} + \\frac{1}{y} = 3\\)\n\n2. \\(xy + x + y = 4\\)\n\nAnd we need to find the value of \\(x^2y + xy^2\\).\n\nFirst, I notice that \\(x^2y + xy^2\\) can be factored. Let's se... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "If the least common multiple of two 6-digit integers has 10 digits, then their greatest common divisor has at most how many digits?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I have this problem here: \"If the least common multiple of two 6-digit ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\nAlright, I need to solve this problem. So, Chef has an array of N elements, and I need to find the length of the longest subarray where the product of its elements is non-zero.\n\nFirst, I need to understand what a subarray is. A subarray is a contiguous seq... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "<|begin_of_thought|> \n\nSo I've got this problem here. Out of 1200 people polled, 30% do not like radio, and 10% of the people who do not like radio also do not like music. I need to find out how many people do not like both radio and music.\n\nAlright, let's break this down ste... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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 this problem we assume the Earth to be a completely round ball and its surface a perfect sphere. ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "For a positive integer $n,$ let\n\\[a_n = \\sum_{k = 0}^n \\frac{1}{\\binom{n}{k}} \\quad \\text{and} \\quad b_n = \\sum_{k = 0}^n \\frac{k}{\\binom{n}{k}}.\\]Simplify $\\frac{a_n}{b_n}.$"
},
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"value": "<|begin_of_thought|>\n\nSo I have this prob... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I have this geometry problem here involving an octahedron. Let me first make sure I understand what an octahedron is. I know it's a polyhedron with eight faces, and in this case, it's a regular octahedron, which means all its faces are equilateral trian... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\n\nAlright, I need to solve this problem. Let's read it carefully.\n\nA soldier wants to buy W bananas in the shop. He has to pay K dollars for the first banana, 2K dollars for the second one, and so on. So, for the I-th banana, he has to pay I * K dollars. H... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "Prove that the continuous random variable $T$ - the time between the occurrences of two successive events in a Poisson process with a given rate $\\lambda$ - has an exponential distribution $F(t) = 1 - e^{-\\lambda t} \\; (t \\geq 0)$."
},
{
"from": "assistant",
"valu... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I need to solve this problem where water spreads in a grid based on certain rules. Let's understand the problem first.\n\nWe have a grid with N rows and M columns. Each cell can be:\n\n- Air ('.')\n\n- Stone ('#')\n\n- Water ('V')\n\nThe water spr... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I have this problem about an ellipse. The endpoints of the major axis are given as (-11,4) and (9,4), and the ellipse passes through the point (7,7). I need to find the area of the ellipse.\n\nFirst, I need to recall some properties of ellipses. The sta... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nOkay, so I've got this riddle here, and I need to figure out what's in the pack. Let's see, there are two men in a desert, both have packs on. One is dead, and the other is alive. The alive guy has his pack open, and the dead guy has his pack closed. The o... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"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 three positive integers $n$, $a$ and $b$. You have to construct a string $s$ of length... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Two points in a thin spherical shell are joined by a curve shorter than the diameter of the shell. Show that the curve lies entirely in one hemisphere."
},
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"value": "<|begin_of_thought|>\n\nI'm trying to solve this problem: \"Two points in a thi... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "Mahdi practices exactly one sport each day of the week. He runs three days a week but never on two consecutive days. On Monday he plays basketball and two days later golf. He swims and plays tennis, but he never plays tennis the day after running or swimming. Which day of the wee... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"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.One day Polycarp decided to rewatch his absolute favourite episode of well-known TV series \"Tufuram... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Call a real-valued function \\( f \\) very convex if\n\\[ \\frac{f(x) + f(y)}{2} \\geq f\\left( \\frac{x+y}{2} \\right) + |x-y| \\]\nholds for all real numbers \\( x \\) and \\( y \\). Prove that no very convex function exists."
},
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"value": "<|b... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nLet's see what this problem is asking for. We have a list of 8 numbers where each new number is the product of the two previous numbers. The last three numbers are given as 16, 64, and 1024. We need to find the first number in the list.\n\nSo, let's denote... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here. I have nine numbers: 1 through 9, and they're assigned to variables a1, a2, a3, b1, b2, b3, c1, c2, c3 in some order. I need to find the smallest possible value of the sum a1a2a3 + b1b2b3 + c1c2c3. Each of these terms is a pr... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's break it down step by step.\n\nSo, Roman has n tabs open in his browser, numbered from 1 to n. Each tab is either a test information tab, represented by 1, or a social network tab, represented by -1. He wants ... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "In the figure, the outer equilateral triangle has area $16$, the inner equilateral triangle has area $1$, and the three trapezoids are congruent. What is the area of one of the trapezoids?\n[asy] size((70)); draw((0,0)--(7.5,13)--(15,0)--(0,0)); draw((1.88,3.25)--(9.45,3.25)); dr... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "A quadrilateral has vertices $P(a,b)$, $Q(b,a)$, $R(-a, -b)$, and $S(-b, -a)$, where $a$ and $b$ are integers with $a>b>0$. The area of $PQRS$ is $16$. What is $a+b$?\n$\\textbf{(A)}\\ 4 \\qquad\\textbf{(B)}\\ 5 \\qquad\\textbf{(C)}\\ 6 \\qquad\\textbf{(D)}\\ 12 \\qquad\\textbf{... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "For every integer $n\\ge2$, let $\\text{pow}(n)$ be the largest power of the largest prime that divides $n$. For example $\\text{pow}(144)=\\text{pow}(2^4\\cdot3^2)=3^2$. What is the largest integer $m$ such that $2010^m$ divides\n\n\n$\\prod_{n=2}^{5300}\\text{pow}(n)$?\n\n\n\n$... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I have this problem to solve. Let's see what it's asking for. So, I have to find the length of the longest subarray in a given array where the sum of its elements isn't divisible by a given number x. If no such subarray exists, I should return -1.... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let \\( F(x) \\) be the antiderivative of the function \\( f(x) \\) on the interval \\([a, b]\\), and let \\( \\varphi(y) \\) be a differentiable function on the interval \\([p, q]\\). Suppose \\( a \\leq \\varphi(y) \\leq b \\) for all \\( y \\) in the interval \\([p, q]\\), and... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"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.Bessie the cow has just intercepted a text that Farmer John sent to Burger Queen! However, Bessie is... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Find the residue at the point \\( z=0 \\) for the function\n\n$$\nf(z)=\\frac{\\sin 3 z - 3 \\sin z}{(\\sin z - z) \\sin z}\n$$"
},
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"value": "<|begin_of_thought|> \n\nTo find the residue of the function \\( f(z) = \\frac{\\sin 3z - 3 \\sin z}{(\... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|>\nLet's tackle this problem step by step. So, we have a set \\( \\mathcal{S} \\) of distinct positive integers, and it has this property: for every integer \\( x \\) in \\( \\mathcal{S} \\), when you remove \\( x \\) and take the arithmetic mean of the remaini... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "<|begin_of_thought|> \n\nLet's see. I have this problem about a parallelogram ABCD, and there's a point E which is the midpoint of diagonal BD. Then, point E is connected to point F on side DA such that DF is one-third of DA. I need to find the ratio of the area of triangle DFE t... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nSo I need to find out how many digits are in the smallest repeating block of the decimal expansion of 5/7. I know that some fractions have repeating decimals, like 1/3 is 0.333... with one digit repeating, and 1/7 is 0.142857142857... with six digits repe... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here: \"Which of these numbers is less than its reciprocal?\" and there are five options: -2, -1, 0, 1, and 2. Hmm, let's see how to approach this.\n\nFirst off, I need to understand what it means for a number to be less than its r... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nI've got this problem here. It's about an equilateral triangle with a side length of 12 cm, and one of its sides is the diameter of a circle. There are two small shaded regions, and I need to find the sum of their areas, which is given in the form \\(a\\pi... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
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"value": "The function $f$ is defined on the set of integers and satisfies \\[f(n)= \\begin{cases} n-3 & \\mbox{if }n\\ge 1000 \\\\ f(f(n+5)) & \\mbox{if }n<1000. \\end{cases}\\]Find $f(84)$."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I've got this proble... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nI'm trying to figure out this problem about tetrahedra. So, the statement is: There exist two tetrahedra, T1 and T2, such that the volume of T1 is greater than the volume of T2, and the area of each face of T1 does not exceed the area of any face of T2. I... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\nAlright, I've got this problem to solve. Let's try to understand it step by step. So, the problem is about building a \"k-step ladder\" using some planks of given lengths. The ladder consists of a base and some steps. Specifically, for a k-step ladder, we ne... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nLet's see what this problem is asking. We have a function S defined as S = { (2x + 3)/(x + 2) | x ≥ 0 }. So, S is the set of all values that this fraction can take when x is non-negative.\n\nFirst, I need to understand the behavior of this function for x ≥... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here with some axioms and theorems involving these undefined terms \"pib\" and \"maa.\" It seems like we're supposed to figure out which of the theorems can be derived from the given axioms. Let's see what we've got.\n\nFirst, the ... |
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