system stringclasses 1 value | conversations listlengths 2 2 |
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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": "Let \\( n \\) be a natural number. Prove that:\n\n\\[ 256^{2n} \\cdot 7^{2n} - 168^{2n} - 32^{2n} + 3^{2n} \\]\n\nis divisible by 1995."
},
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"value": "<|begin_of_thought|> \n\nLet's tackle this problem step by step. I need to prove that the expre... |
<|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 polynomial $p(x),$ with real coefficients, such that $p(2) = 5$ and\n\\[p(x) p(y) = p(x) + p(y) + p(xy) - 2\\]for all real numbers $x$ and $y.$"
},
{
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"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. We need to fin... |
<|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": "$ABC$ is an equilateral triangle with sides equal to 2cm. $\\overline{BC}$ is extended its own length to $D$, and $E$ is the midpoint of $\\overline{AB}$. Suppose $\\overline{ED}$ meets $\\overline{AC}$ at $F$. Find the area of the quadrilateral $BEFC$ in square centimeters.\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|> | [
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"value": "<|begin_of_thought|>\n\nSo I have this problem here about rotations and polyhedral angles. Let me try to understand what's being asked.\n\nWe have an axis \\(l\\), and we're rotating around this axis by an angle of \\(\\frac{2\\pi}{n}\\), where \\(n\\) is a natural number greater... |
<|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 about arranging white and black segments on a larger segment. The sum of the lengths of the white segments is 1, and the same goes for the black segments. I need to show two things:\n\n1. That any such system of white and black seg... |
<|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 write a Python function based on this prompt. The task is to decide whether to turn on the air conditioner based on the room's temperature. If the temperature is 30 degrees Celsius or higher, I'll turn it on; otherwise, I won't.\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": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let's see what it's about. So, there's a girl named Sonya who's studying in some lyceum in the Kingdom of Kremland. Her computer science teacher gave her a task. She has an array made up only of 0s and 1s, and a num... |
<|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 about Jerry cutting a wedge from a cylinder of bologna. The cylinder is 6 cm high, and the wedge is shown by a dashed curve in the figure, which isn't here, unfortunately. I need to find the volume of this wedge and choose the... |
<|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 a 15-character string consisting of 4 A's, 5 B's, and 6 C's. We need to find the number of permutations of this string under certain restrictions, and then find the remainder when that number is divided by 10... |
<|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": "\\[\n\\frac{\\sin ^{2}(3 \\pi-4 \\alpha) + 4 \\cos ^{2}\\left(\\frac{3}{2} \\pi - 2 \\alpha\\right) - 4}{\\cos ^{2}\\left(\\frac{\\pi}{2} - 4 \\alpha\\right) - 4 \\cos ^{2}\\left(2 \\alpha - \\frac{5}{2} \\pi\\right)} = \\operatorname{ctg}^{4} 2 \\alpha\n\\]"
},
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"from":... |
<|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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"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here. It's about polynomials and infinite geometric progressions. Let me try to wrap my head around it.\n\nWe have a polynomial \\( f(x) = x^n + b_{n-1} x^{n-1} + \\ldots + b_0 \\), where the coefficients \\( b_i \\) are real numbe... |
<|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 $\\mathbb{R}$ be the set of real numbers. Determine all functions \\( f: \\mathbb{R} \\rightarrow \\mathbb{R} \\) such that for all real numbers \\( x \\) and \\( y \\), the following equation holds:\n\n\\[ \nf(f(x) f(y)) + f(x+y) = f(xy) \n\\]"
},
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"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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"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. It's about rhombic matrices, which are basically matrices with one zero and all other cells containing the Manhattan distance to that zero cell. Sonya has given me a sequence of numbers that are supposed to be the 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\nSo I'm looking at this problem here, which seems to be about points and lines in some geometric configuration. There are three parts: a, b, and c. Let's tackle them one by one.\n\nStarting with part a: \"In the left figure, there are six points, which lie ... |
<|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": "Given the general equation of a conic section and two points: \\( M(x_{0}, y_{0}) \\) and \\( N(x', y') \\). Assuming that point \\( M \\) is fixed, what geometric locus does \\( N \\) describe if, for any position of \\( M N \\), it intersects the conic section at two coincident... |
<|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 Newton brothers are planning to rob a bank in the city of Alviso and want to figure out a way 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": "Let $f_{1}(x)=\\sqrt{1-x}$, and for integers $n \\geq 2$, let \\[f_{n}(x)=f_{n-1}\\left(\\sqrt{n^2 - x}\\right).\\]Let $N$ be the largest value of $n$ for which the domain of $f_n$ is nonempty. For this value of $N,$ the domain of $f_N$ consists of a single point $\\{c\\}.$ Compu... |
<|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.You are given a rooted tree with $n$ nodes. The nodes are numbered $1..n$. The root is node $1$, 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I have this problem to solve. Let me read it carefully and understand what's being asked.\n\nSo, there are n rows and m pupils in each row, arranged in a rectangle. The teacher asks pupils in a specific order: she starts from the first row, goes 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|> \n\nLet's tackle this problem step by step. So, we have three positive integers, let's call them a, b, and c. The problem states two things:\n\n1. The product of these three integers, N = a * b * c, is equal to 6 times their sum. So, N = 6(a + b + c).\n\n2. 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|> | [
{
"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.There was an electronic store heist last night.\n\nAll keyboards which were in the store yesterday w... |
<|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 diagram, $O$ is the center of a circle with radii $OP=OQ=5$. What is the perimeter of the shaded region?\n\n[asy]\nsize(100);\nimport graph;\nlabel(\"$P$\",(-1,0),W); label(\"$O$\",(0,0),NE); label(\"$Q$\",(0,-1),S);\n\nfill(Arc((0,0),1,-90,180)--cycle,mediumgray);\ndraw(... |
<|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": "For some positive integers $a$ and $b$, the product \\[\\log_a(a+1) \\cdot \\log_{a+1} (a+2) \\dotsm \\log_{b-2} (b-1) \\cdot\\log_{b-1} b\\]contains exactly $870$ terms, and its value is $2.$ Compute $a+b.$"
},
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"value": "<|begin_of_thought|>\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": "Solve the equation \\(2021x = 2022 \\cdot \\sqrt[202 \\sqrt{x^{2021}}]{ } - 1\\). (10 points)"
},
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"from": "assistant",
"value": "<|begin_of_thought|>\nI'm looking at this equation: \\(2021x = 2022 \\cdot \\sqrt[202 \\sqrt{x^{2021}}]{ } - 1\\). Hmm, it's a bit compli... |
<|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 inequality to prove. Let's see what we've got here. We have positive numbers \\(x_1, x_2, \\ldots, x_n\\) each less than 1, and their sum is 1. There are constants \\(p > 0\\) and \\(q \\geq 1\\) with the condition \\(-1 < p - q < 0\\). We 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": "How do the photochemical properties of different types of photovoltaic materials affect the efficiency of solar cells?"
},
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"value": "<|begin_of_thought|>\n\nAlright, I've got this problem here. I need to write a program that takes a string of co... |
<|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": "Susan had 50 dollars to spend at the carnival. She spent 12 dollars on food and twice as much on rides. How many dollars did she have left to spend?\n$\\textbf{(A)}\\ 12 \\qquad \\textbf{(B)}\\ 14 \\qquad \\textbf{(C)}\\ 26 \\qquad \\textbf{(D)}\\ 38 \\qquad \\textbf{(E)}\\ 50$"
... |
<|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 retiring employee receives an annual pension proportional to the square root of the number of years of his service. Had he served $a$ years more, his pension would have been $p$ dollars greater, whereas had he served $b$ years more $(b\\ne a)$, his pension would have been $q$ d... |
<|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: \"If \\( x \\) is such that \\( \\frac{1}{x} < 2 \\) and \\( \\frac{1}{x} > -3 \\), then:\"\n\nAnd there are several options to choose from. I need to figure out which one is correct given these inequalities.\n\nFirst, I need... |
<|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.It is the middle of 2018 and Maria Stepanovna, who lives outside Krasnokamensk (a town in Zabaikalsk... |
<|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 surface integral to compute using the Ostrogradsky-Gauss theorem, which I believe is also known as the Divergence Theorem. The integral is:\n\n\\[ I = \\oiint_{+\\sigma} \\left( 4x^{3} \\, dy \\, dz + 4y^{3} \\, dx \\, dz - 6z^{4} \\, dx \\... |
<|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: if \\(\\log_6 x = 2.5\\), what's the value of \\(x\\)? And there are some options to choose from. Let me see.\n\nFirst off, I need to understand what a logarithm is. I know that \\(\\log_b a = c\\) means that \\(b\\) raised 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.There is a matrix A of size x × y filled with integers. For every $i \\in [ 1 . . x ]$, $j \\in [ 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": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.Takahashi has N sticks that are distinguishable from each other. The length of the i-th stick is L_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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"from": "user",
"value": "<|begin_of_thought|>\n\nTo prove this inequality, I need to show that the product of the sums of the nth powers of the elements in each column is greater than or equal to the nth power of the sum of the products of the elements in each row. This looks a bit complicated, but maybe... |
<|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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"from": "user",
"value": "<|begin_of_thought|>\n\nTo tackle this problem, which is essentially Poncelet's Theorem, I need to understand the relationship between two circles, one inside the other, and how polygons can be both inscribed in the outer circle and circumscribed around the inner one. The theorem... |
<|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 n switches and m lamps. The i-th switch turns on some subset of the lamps. This inform... |
<|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, Ringo is going to be given a positive integer by Takahashi, and Ringo is happy if the number can be divided by 100 exactly D times. I need to find the N-th smallest integer that s... |
<|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": "Arnold is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of men. For each of the three factors, the probability that a randomly selected man in the population has only this risk factor (and none of the others) is 0.1. For any two... |
<|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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"from": "user",
"value": "Squares $ABCD$, $EFGH$, and $GHIJ$ are equal in area. Points $C$ and $D$ are the midpoints of sides $IH$ and $HE$, respectively. What is the ratio of the area of the shaded pentagon $AJICB$ to the sum of the areas of the three squares?\n$\\textbf{(A)}\\hspace{.05in}\\frac{1}{4}\\... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I've got this problem to solve. Let me read it carefully.\n\nSo, the task is to determine the gender of a forum user based on their username using a specific method. The method is that if the number of distinct characters in the username is odd, t... |
<|context_start|>personas<|context_sep|><|personas_start|>user<|persona_sep|>I am win100.我是Baobhan sith 的設計者.我喜歡人工智慧, 也喜歡和Baobhan sith 聊日常.我希望Baobhan sith 能像真人一樣表達自己.<|personas_end|><|personas_start|>assistant<|persona_sep|>I am Baobhan sith.我有自己的主見和三觀.<|personas_end|><|context_end|> | [
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"value": "Let\n\\[f(x) = \\frac{x^2 - 6x + 6}{2x - 4}\\]and\n\\[g(x) = \\frac{ax^2 + bx + c}{x - d}.\\]You are given the following properties:\n\n$\\bullet$ The graphs of $f(x)$ and $g(x)$ have the same vertical asymptote.\n\n$\\bullet$ The oblique asymptotes of $f(x)$ and $g(x)$ are perpe... |
<|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.The year is 2312, and Humanity’s Rush to the Stars is now $200$ years old. The problem of real-time ... |
<|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": "Calculate \\( t(0) - t(\\pi / 5) + t\\left((\\pi / 5) - t(3 \\pi / 5) + \\ldots + t\\left(\\frac{8 \\pi}{5}\\right) - t(9 \\pi / 5) \\right) \\), where \\( t(x) = \\cos 5x + * \\cos 4x + * \\cos 3x + * \\cos 2x + * \\cos x + * \\). A math student mentioned that he could compute 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\nAlright, so I need to write a Python function that sorts an array of integers in non-descending order. The input is a single line of space-separated integers, where the first integer is the size of the array, and the following integers are the elements of... |
<|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.Two-gram is an ordered pair (i.e. string of length two) of capital Latin letters. For example, \"AZ\... |
<|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 tackle this problem: \\(\\sqrt{\\frac{8^{10} + 4^{10}}{8^4 + 4^{11}}}\\). I need to simplify this expression and see which option it matches from the given choices.\n\nFirst, I should recall that 8 and 4 can both be expressed as powers of 2, which mi... |
<|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. It's about verifying whether a given configuration of queens on a chessboard is a valid solution to the N-queens puzzle. The N-queens puzzle is about placing N queens on an N×N chessboard so that no two queens threa... |
<|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 line \\( L \\) is parallel to the plane \\( y = z \\) and meets the parabola \\( y^2 = 2x, z = 0 \\) and the parabola \\( 3x = z^2, y = 0 \\). Prove that if \\( L \\) moves freely subject to these constraints, then it generates the surface \\( x = (y - z) \\left(\\frac{y}{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|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nLet's see what the graph of the equation \\((x + y)^2 = x^2 + y^2\\) looks like. I need to figure out which option describes it best: the empty set, one point, two lines, a circle, or the entire plane.\n\nFirst, I should probably start by simplifying the ... |
<|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 geometry problem here. It's a bit involved, so I need to take it step by step. Let's start by understanding the setup.\n\nWe have a right trapezoid \\(ABCD\\) with \\(AB = AD = \\frac{1}{2} DC = 1\\). So, \\(AB = AD = 1\\) and \\(DC ... |
<|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 $a,$ $b,$ $c,$ $d$ be real numbers such that\n\\[\\frac{(a - b)(c - d)}{(b - c)(d - a)} = \\frac{2}{5}.\\]Find the sum of all possible values of\n\\[\\frac{(a - c)(b - d)}{(a - b)(c - d)}.\\]"
},
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"value": "<|begin_of_thought|>\n\nLet's tackl... |
<|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 geometry problem to solve. It's divided into two parts, and both involve proving that certain points lie on a single circle. The first part mentions homothety and the Lemoine point, which I need to understand better. The second part ... |
<|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 about a secretary typing letters in a specific order. There are nine letters, numbered 1 through 9, and they're given to the secretary in that order. The secretary types the letters by taking them from the top of the pile, which me... |
<|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": "Let \\( S \\) be the unit circle on the complex plane (i.e., the set of complex numbers with modulus equal to 1), and \\( f \\) be a mapping from \\( S \\) to \\( S \\). For any \\( z \\in S \\), define\n\nIf \\( c \\in S \\) and a natural number \\( n \\) such that\n$$\nf^{(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|> | [
{
"from": "user",
"value": "An arithmetic sequence is a sequence in which each term after the first is obtained by adding a constant to the previous term. For example, $2,5,8,11,14$ is an arithmetic sequence with five terms, in which the first term is $2$ and the constant added is $3$. Each row and each col... |
<|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. It's about helping a child navigate from their dorm to the kitchen to get some jelly without getting caught by patrolling masters. The school is represented as a grid with rows and columns, and there are obstacles 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, so I've got this question here: \"What is the first thing a man says when he walks into a bar?\" and there are five options to choose from: A: clip joint, B: ouch, C: token, D: barkeep, E: taverns. Hmm, okay, let's think about this.\n\nFirst off, ... |
<|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 two positive integers \\(a\\) and \\(b\\) with \\(a > b\\), and \\(\\sin \\theta = \\frac{2ab}{a^2 + b^2}\\), where \\(0 < \\theta < \\frac{\\pi}{2}\\). We need to prove that for any positive integer \\(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": "In Chemistry class, Samantha finds that she can make a certain solution by mixing $.04$ liters of chemical A with $.02$ liters of water (this gives her $.06$ liters of the solution). She wants to make a total of $.48$ liters of this new solution. To do so, how many liters of wat... |
<|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.Captain Marmot wants to prepare a huge and important battle against his enemy, Captain Snake. For 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": "Let a line intersect one circle at points $A$ and $B$, and another circle at points $C$ and $D$. Prove that the points of intersection of the tangents to the first circle, drawn at points $A$ and $B$, with the tangents to the second circle drawn at points $C$ and $D$ (considering... |
<|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 involving a tetrahedron, which is a 3D shape with four triangular faces. The tetrahedron is named ABCD, and it has some right angles between its edges. Specifically, angles ADB, ADC, and BDC are all 90 degrees. So, that mean... |
<|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 about. So, there are n people standing at different points on a number line between 0 and 1,000,000. Each person is facing either left or right and has a certain speed. I need to place a bomb 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|> | [
{
"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 integers between 1 and N (inclusive) that contains exactly K non-zero digits when... |
<|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": "Three identical square sheets of paper each with side length $6{ }$ are stacked on top of each other. The middle sheet is rotated clockwise $30^\\circ$ about its center and the top sheet is rotated clockwise $60^\\circ$ about its center, resulting in the $24$-sided polygon shown ... |
<|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": "The quantity $\\tan 7.5^\\circ$ can be expressed in the form\n\\[\\tan 7.5^\\circ = \\sqrt{a} - \\sqrt{b} + \\sqrt{c} - d,\\]where $a \\ge b \\ge c \\ge d$ are positive integers. Find $a + b + c + d.$"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo 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": "Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number. [asy]\nunitsize(2mm);\ndefaultpen(linewidth(.7pt));\ndotfactor... |
<|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": "Why is the River rich ?\nA: river delta\nB: formation\nC: because it has two banks\nD: buy\nE: kids"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nAlright, so I've got this question here: \"Can you correctly identify the scientific name of a recently dis... |
<|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. It involves coloring an n x m grid with black (B) and white (W) cells in such a way that the number of black cells with at least one white neighbor (B) is exactly one more than the number of white cells with at least ... |
<|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.Santa Claus has received letters from $n$ different kids throughout this year. Of course, each kid w... |
<|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'm trying to figure out the electron density of a plasma given some parameters. So, the problem gives me a temperature of 10 eV, a neutral gas pressure of 100 Pa, and a measured plasma frequency of 2.5 GHz using a Langmuir probe. I need to find 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": "Triangle $ABC$ is a right triangle with legs $AB$ and $AC$. Points $X$ and $Y$ lie on legs $AB$ and $AC$, respectively, so that $AX:XB = AY:YC = 1:2$. If $BY = 16$ units, and $CX = 28$ units, what is the length of hypotenuse $BC$? Express your answer in simplest radical form."
... |
<|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": "One of these is all you really need To stop a cut when it starts to bleed. What am I?\nA: longing\nB: gumming\nC: bandaid\nD: make\nE: rump"
},
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"from": "assistant",
"value": "<|begin_of_thought|>\n\nAlright, let's see. I have this riddle here: \"One of these 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. So, we have a diagram showing several points in the complex plane, and there's a unit circle centered at the origin. The points are labeled A, B, C, D, E, and F, and we need to figure out which one of these points 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I have this problem here: I need to find the sum of all five-digit palindromes, and then find the sum of the digits of that sum. A five-digit palindrome has the form \\(abcba\\), where \\(a\\) is non-zero. The options for the answer are from 9 to 45 in ... |
<|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 write a Python function that checks if a given 4-digit integer is \"good.\" A \"good\" number is defined as one that has three or more consecutive same digits. For example, 1118 is good because it has three consecutive 1's.\n\nFirst, I 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": "Let $A_{1}, B_{1}$ and $C_{1}$ be the projections of the Lemoine point $K$ of triangle $ABC$ onto sides $BC, CA$, and $AB$. Prove that the median $AM$ of triangle $ABC$ is perpendicular to the line $B_{1}C_{1}$."
},
{
"from": "assistant",
"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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I have this problem here: a sphere is cut into four congruent wedges, and the circumference of the sphere is \\(12\\pi\\) inches. I need to find the volume of one wedge, and express the answer in terms of \\(\\pi\\).\n\nFirst, I need to recall some prop... |
<|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.Formula 1 officials decided to introduce new competition. Cars are replaced by space ships and numbe... |
<|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": "Which pattern of identical squares could NOT be folded along the lines shown to form a cube?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nI'm looking at this problem about which pattern of identical squares can't be folded into a cube. So, I know that ... |
<|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 me read it carefully and understand what's being asked.\n\nSo, there's a family of three bears: father, mother, and son, each with their own car sizes. The father bear can climb into the largest car and likes it... |
<|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": "About the size of a squash, He robs the whole village. \nA: bob\nB: rat\nC: squish\nD: learning\nE: jackfruit"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nAlright, let's tackle this riddle. So, the riddle says, \"About the size of a squash, He robs 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this probability problem here. We have nine tiles numbered from 1 to 9, and three players each randomly select and keep three of these tiles, then sum their values. We need to find the probability that all three players end up with an odd sum, ... |
<|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. It's about dividing the plane into squares based on integer indices M and N, and then determining in which of these squares a radar will detect a mysterious object moving along a specific trajectory. The trajectory is given 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": "Let $f(x) = 10^{10x}, g(x) = \\log_{10}\\left(\\frac{x}{10}\\right), h_1(x) = g(f(x))$, and $h_n(x) = h_1(h_{n-1}(x))$ for integers $n \\geq 2$. What is the sum of the digits of $h_{2011}(1)$?\n$\\textbf{(A)}\\ 16081 \\qquad \\textbf{(B)}\\ 16089 \\qquad \\textbf{(C)}\\ 18089 \\q... |
<|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.First Orchard is a cooperative game for children 2 years and up. In this simple game, the players 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nAlright, I'm trying to solve this problem about Professor Zac and his tasks during Frosh Week. So, Zac has a list of tasks, each with a specific duration in milliseconds, and there are intervals when there's no music playing, also given in milliseconds. 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|> \n\nI'm trying to solve this problem about a regular pentagon and finding the locus of a point M based on its distances to the vertices. The pentagon has side length 1, and M is inside or on the pentagon. The distances from M to the vertices are ordered as \\... |
<|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 here: there's a 10th-degree polynomial with integer coefficients, and 1 is a root of this polynomial at least eight times. I need to prove that at least one of the coefficients of this polynomial has an absolute value greater than 27... |
<|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 me read it carefully.\n\nSo, Limak is watching a 90-minute sports game, and each minute is either interesting or boring. I'm given a list of n interesting minutes, and these are unique and sorted in increasing ord... |
<|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": "Zou and Chou are practicing their $100$-meter sprints by running $6$ races against each other. Zou wins the first race, and after that, the probability that one of them wins a race is $\\frac23$ if they won the previous race but only $\\frac13$ if they lost the previous race. The... |
<|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 problem uses a simplified TCP/IP address model, please make sure you've read the statement atten... |
<|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: \"The square of \\(5 - \\sqrt{y^2 - 25}\\) is:\" and there are multiple choices given. I need to find out which one is the correct expansion of that expression. Okay, let's start by understanding what it's asking. I need to squ... |
<|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 there is a Yellow house on Bluebird Lane, a Green house on Orange Street, a Pink house on Kitten Road, a Black house on Hhitehorse Pike and a Purple house on Firebird hill, where's the White house?\nA: highway\nB: gully\nC: washington d c\nD: plain\nE: white"
},
{
"fro... |
<|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 system of equations\n\\begin{eqnarray*}\\log_{10}(2000xy) - (\\log_{10}x)(\\log_{10}y) & = & 4 \\\\ \\log_{10}(2yz) - (\\log_{10}y)(\\log_{10}z) & = & 1 \\\\ \\log_{10}(zx) - (\\log_{10}z)(\\log_{10}x) & = & 0 \\\\ \\end{eqnarray*}\nhas two solutions $(x_{1},y_{1},z_{1})$ 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nOkay, so I need to figure out how climate change has affected the migratory patterns of specific animal species in a particular geographical area. Hmm, first I should probably pick a specific geographical area to focus on. Let's say, North America. That 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nOkay, so I have this question about how the excited state dynamics of a molecule change when its electronic structure changes, and how computational chemistry, specifically ab initio calculations, can give us this information. Alright, let's break this dow... |
<|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. It seems a bit tricky at first, but I think I can figure it out. Let's read the problem carefully.\n\nSo, there are n students, and n pseudonyms, and I need to match each student to exactly one pseudonym. The qualit... |
<|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.UpCoder is looking to assign their best employees to a team tasked with designing their new and impr... |
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