system stringclasses 1
value | conversations listlengths 2 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": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.A triple of numbers is said to be poor when two of those numbers are equal but the other number is 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|> | [
{
"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.Consider an analog clock whose hour and minute hands are A and B centimeters long, respectively.\nAn... |
<|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.-----Input-----\n\nThe input contains a single integer a (10 ≤ a ≤ 999).\n\n\n-----Output-----\n\nOu... |
<|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.After winning gold and silver in IOI 2014, Akshat and Malvika want to have some fun. Now they are pl... |
<|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: It says, \"The expressions \\(a + bc\\) and \\((a + b)(a + c)\\) are:\" and then it gives a bunch of options. I need to figure out when these two expressions are equal. Let me see.\n\nFirst, I should probably start by expanding... |
<|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 about organizing a boxing tournament with n boxers, where n is a power of 2. Each boxer has a unique strength from 1 to n, and the one with higher strength always wins, unless I bribe the opponent to make my friend win, even ... |
<|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. Let's see what it's asking.\n\nWe have a triangle ABC with vertices at A(0,0), B(0,420), and C(560,0). So, it's a right triangle with the right angle at A. The die has six faces labeled with two A's, two B's, and two C's. So,... |
<|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 any integer \\( n \\in \\mathbb{N}^{*} \\), let \\(\\ell(n)\\) be the smallest common multiple of all integers \\( k \\leq n \\) and \\(\\hat{\\ell}(n)\\) be the product \\( n\\binom{2 n}{n} \\). Show that \\(\\hat{\\ell}(n)\\) divides \\(\\ell(2 n)\\) and that, for \\( n \\g... |
<|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": "Find all functions \\( f: \\mathbb{Q} \\rightarrow \\mathbb{Q} \\) satisfying\n\n$$\n\\forall x, y \\in \\mathbb{Q}, \\quad f(x+y)=f(x)+f(y)\n$$"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I have this problem: find all functions \\( f: \\mathbb{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": "A circle \\(\\omega\\) with center \\(O\\) is internally tangent to a circle \\(\\Gamma\\) at \\(S\\). A chord \\([AB]\\) of \\(\\Gamma\\) is tangent to \\(\\omega\\) at \\(T\\). The point \\(P\\) lies on \\((AO)\\). Show that \\((PB) \\perp (AB)\\) if and only if \\((PS) \\perp ... |
<|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 [area](https://artofproblemsolving.com/wiki/index.php/Area) of the shaded region $\\text{BEDC}$ in [parallelogram](https://artofproblemsolving.com/wiki/index.php/Parallelogram) $\\text{ABCD}$ is\n\n$\\text{(A)}\\ 24 \\qquad \\text{(B)}\\ 48 \\qquad \\text{(C)}\\ 60 \\qquad \\... |
<|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 understand what's being asked here.\n\nWe have a sequence defined based on a starting number s, and a function f(n) that depends on whether n is even or odd. The sequence starts with a_1 = s, and each subsequent... |
<|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. There's a figure with nine dots, and each dot needs to be colored either red, white, or blue. The tricky part is that no two dots connected by a segment can be the same color. Also, there are no other dots between the ones conne... |
<|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'm trying to figure out how dark matter affects gravitational lensing in galaxy clusters and what specific properties of dark matter contribute to this effect. Okay, first off, I know that gravitational lensing is when the gravity of a massive... |
<|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.Lee tried so hard to make a good div.2 D problem to balance his recent contest, but it still doesn'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": "[Functions](https://artofproblemsolving.com/wiki/index.php/Function) $f$ and $g$ are [quadratic](https://artofproblemsolving.com/wiki/index.php/Quadratic), $g(x) = - f(100 - x)$, and the graph of $g$ contains the [vertex](https://artofproblemsolving.com/wiki/index.php/Vertex) 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": "<|begin_of_thought|>\n\nAlright, I've got this problem about a regular quadrilateral pyramid \\(P-ABCD\\). So, first things first, I need to understand what a regular quadrilateral pyramid is. I think it means that the base is a square and the lateral faces are congruent isoscele... |
<|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": "Given \\(2n+2\\) numbers \\(a_{-n}, a_{-n+1}, \\ldots, a_{n+1}\\). Consider the \\(2n+2\\) numbers\n\n$$\nb_{q} = \\frac{1}{\\sqrt{2n}} \\sum_{p=-n}^{n+1} a_{p} \\varepsilon^{pq}, \\quad q = -n, -n+1, \\ldots, n+1\n$$\n\nwhere \\(\\varepsilon = \\cos \\frac{\\pi}{n} + i \\sin \\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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem about a checkerboard with 13 rows and 17 columns. They've got two different ways of numbering the squares, and I need to find the sum of the numbers that are the same in both numbering systems.\n\nFirst, I need to understand the tw... |
<|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": "A circle with center $O$ is tangent to the coordinate axes and to the hypotenuse of the $30^\\circ$-$60^\\circ$-$90^\\circ$ triangle $ABC$ as shown, where $AB=1$. To the nearest hundredth, what is the radius of the circle?\n\n\n$\\textbf{(A)}\\ 2.18\\qquad\\textbf{(B)}\\ 2.24\\qq... |
<|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 $Z$ be a 6-digit positive integer, such as 247247, whose first three digits are the same as its last three digits taken in the same order. Which of the following numbers must also be a factor of $Z$?\n$\\textbf{(A) }11\\qquad\\textbf{(B) }19\\qquad\\textbf{(C) }101\\qquad\\te... |
<|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.Let $n$ be an integer. Consider all permutations on integers $1$ to $n$ in lexicographic order, 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": "Let \\( L(n) \\) denote the least common multiple of \\(\\{1,2, \\ldots, n\\}\\).\n\n(i) Prove that there exists a positive integer \\( k \\) such that \\( L(k) = L(k+1) = \\cdots = L(k+2000) \\).\n\n(ii) Find all \\( m \\) such that \\( L(m+i) \\neq L(m+i+1) \\) for all \\( 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": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.After the war, the supersonic rocket became the most common public transportation.\n\nEach supersoni... |
<|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 where I have two strings, S and T, and I can perform operations on S to try to make it equal to T. The operation allowed is to choose two distinct lowercase English letters and swap all occurrences of these two let... |
<|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.Your program will be given an integer X. Find the smallest number larger than X consisting of the sa... |
<|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 says that three identical rectangles are put together to form rectangle \\( ABCD \\), and the shorter side of each smaller rectangle is 5 feet. I need to find the area of rectangle \\( ABCD \\). The options are 45, 75, 100... |
<|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": "A torus (donut) having inner radius $2$ and outer radius $4$ sits on a flat table. What is the radius of the largest spherical ball that can be placed on top of the center torus so that the ball still touches the horizontal plane? (If the $xy$-plane is the table, the torus is 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|> | [
{
"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 Cartesian coordinate system is set in the sky. There you can see n stars, the i-th has coordinat... |
<|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 two arrays A and B, each of size n. The error, E, between these two arrays is defined ... |
<|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 are $n$ consecutive seat places in a railway carriage. Each place is either empty or occupied ... |
<|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'm trying to solve this problem about dice. It says that when you roll n standard 6-sided dice, the probability of getting a sum of 1994 is greater than zero, and this probability is the same as getting a sum of s. I need to find the smallest possible... |
<|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.In some other world, today is Christmas.\nMr. Takaha decides to make a multi-dimensional burger in 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nLet's tackle this problem step by step. The expression we need to simplify is:\n\n\\[ x[x\\{x(2-x)-4\\}+10]+1 \\]\n\nOkay, so we have nested expressions here, and we need to expand it fully. I think the best way to approach this is to start from the innerm... |
<|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": "A proton travels at a velocity of 0.8c. Calculate the relativistic momentum and the total energy of the proton, where c is the speed of light."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nOkay, I need to calculate the relativistic momentum and total en... |
<|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": "A solid spherical segment with a specific gravity of $s$ floats in water such that only the spherical cap associated with the segment is above water. What is the half-angle of the cone associated with the spherical segment? What is the condition for solvability? What is the half-... |
<|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 a robot trying to find its way through a grid with obstacles. The grid is a 2D list where 0 means it's open and 1 means there's an obstacle. The robot can only move right or down from its current position, and it starts at 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": "Suppose \\(\\tan \\alpha = \\frac{p}{q}\\), where \\(p\\) and \\(q\\) are integers and \\(q \\neq 0\\). Prove that the number \\(\\tan \\beta\\) for which \\(\\tan 2\\beta = \\tan 3\\alpha\\) is rational only when \\(p^{2} + q^{2}\\) is the square of an integer."
},
{
"fr... |
<|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 have this chemistry problem here. It asks about the effect of increasing temperature on the equilibrium constant for a reaction that forms a complex ion, and it's exothermic with an enthalpy change of -100 kJ/mol. I need to calculate the new ... |
<|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 Paula with a bunch of coins in her purse: pennies, nickels, dimes, and quarters. The average value of these coins is 20 cents. If she adds one more quarter, the average jumps to 21 cents. 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|> | [
{
"from": "user",
"value": "Jack wants to bike from his house to Jill's house, which is located three blocks east and two blocks north of Jack's house. After biking each block, Jack can continue either east or north, but he needs to avoid a dangerous intersection one block east and one block north of his ho... |
<|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: \"If \\( x^2 + b x + 16 \\) has at least one real root, find all possible values of \\( b \\). Express your answer in interval notation.\"\n\nAlright, I need to find all possible values of \\( b \\) such that the quadratic 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem here with three equations involving the sign function. The equations are:\n\n\\[\n\\begin{align*}\nx &= 2018 - 2019 \\operatorname{sign}(y + z), \\\\\ny &= 2018 - 2019 \\operatorname{sign}(x + z), \\\\\nz &= 2018 - 2019 \\operatorn... |
<|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: find all solutions to \\( p^n = q^m \\pm 1 \\), where \\( p \\) and \\( q \\) are primes and \\( m, n \\) are integers greater than or equal to 2. Hmm, that seems tricky at first glance, but let's break it down step by step.\n\nFi... |
<|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: given the function \\( f(x) = \\frac{1 + x}{1 - 3x} \\), and then a sequence of functions where \\( f_1(x) = f(f(x)) \\), \\( f_2(x) = f(f_1(x)) \\), and in general \\( f_n(x) = f(f_{n-1}(x)) \\), I need to find \\( f_{1993}(3)... |
<|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.Alice has a lovely piece of cloth. It has the shape of a square with a side of length $a$ centimeter... |
<|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": "As shown in the figure, \\( D \\) is a point inside the acute triangle \\( \\triangle ABC \\) such that \\( \\angle ADB = \\angle ACB + 90^{\\circ} \\), and \\( AC \\cdot BD = AD \\cdot BC \\). Extend \\( AD \\), \\( BD \\), and \\( CD \\) to intersect the circumcircle \\(\\Gamma... |
<|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|>\nLet's tackle this problem step by step. So, we have two quadratic functions:\n\n\\[f(x) = x^2 + a x + b\\]\n\nand\n\n\\[g(x) = x^2 + c x + d\\]\n\nWe need to find the number of ordered triples \\((a, b, c)\\) where \\(a\\), \\(b\\), and \\(c\\) are integers ... |
<|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, $n$ people ($n$ is an even number) met on a plaza and made two round dances, each round dan... |
<|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 need to find the base-6 digit \\( d \\) such that the number \\( 2dd5_6 \\) is divisible by 11 in base 10. Okay, let's break this down.\n\nFirst, I need to understand what \\( 2dd5_6 \\) means. It's a number in base 6, with... |
<|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": "How many different prime numbers are factors of $N$ if\n\n$\\log_2 ( \\log_3 ( \\log_5 (\\log_ 7 N))) = 11?$\n$\\mathrm{(A) \\ }1 \\qquad \\mathrm{(B) \\ }2 \\qquad \\mathrm{(C) \\ }3 \\qquad \\mathrm{(D) \\ } 4\\qquad \\mathrm{(E) \\ }7$"
},
{
"from": "assistant",
"v... |
<|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 $O$ be the intersection point of medians $AP$ and $CQ$ of triangle $ABC.$ if $OQ$ is 3 inches, then $OP$, in inches, is:\n$\\text{(A) } 3\\quad \\text{(B) } \\frac{9}{2}\\quad \\text{(C) } 6\\quad \\text{(D) } 9\\quad \\text{(E) } \\text{undetermined}$"
},
{
"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|> | [
{
"from": "user",
"value": "What is the inverse of $f(x)=4-5x$?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|> \n\nSo I have this problem: I need to find the inverse of the function f(x) = 4 - 5x. Okay, I remember that the inverse of a function basically undoes what the original funct... |
<|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 algebraic expression to simplify: \n\n\\[((5p + 1) - 2p \\cdot 4)(3) + (4 - 1 \\div 3)(6p - 9)\\]\n\nAnd I need to simplify it into the form \\( ap - b \\), where \\( a \\) and \\( b \\) are positive integers.\n\nAlright, let's break this do... |
<|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": "Assuming without proof that the center of gravity of a uniform triangular plate coincides with the centroid of the triangle, i.e., the point where its medians intersect, prove that the center of gravity of a uniform quadrilateral plate (convex quadrilateral) coincides with the ce... |
<|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 expression: \\(4(x^2 - 2x + 2) - 7(x^3 - 3x + 1)\\). I need to simplify it and then find the sum of the squares of the coefficients of the terms. Alright, let's start by expanding each part.\n\nFirst, I'll distribute the 4 into the first set... |
<|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": "Find all functions \\( f: \\mathbf{Z}_{+} \\rightarrow \\mathbf{Z}_{+} \\) such that:\n\n(1) For all positive integers \\( n \\), we have\n\\[ f(n!) = f(n)! \\]\n\n(2) For all distinct integers \\( m \\) and \\( n \\), \\((m-n) \\) divides \\( f(m)-f(n) \\).\n\n(2012, USA Mathema... |
<|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 about finding the difference between the largest and smallest possible values obtained from an iterative averaging process on the numbers 1, 2, 3, 4, and 5. The procedure is to arrange these numbers in some order, then find 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 have this problem here: I need to find the third term in the expansion of \\(\\left(\\frac{a}{\\sqrt{x}} - \\frac{\\sqrt{x}}{a^2}\\right)^6\\) and then simplify it. The options are all different, so I need to make sure I do this step by step to get 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 problem here: find integer \\( a \\) such that \\( x^2 - x - 1 \\) is a factor of \\( a x^{17} + b x^{16} + 1 \\), where \\( a \\) and \\( b \\) are integers. Alright, let's break this down.\n\nFirst off, if \\( x^2 - x - 1 \\) is a factor... |
<|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": "A certain organism begins as three cells. Each cell splits and becomes two cells at the end of two days. At the end of another two days, every cell of the organism splits and becomes two cells. This process lasts for a total of 8 days, and no cells die during this time. How many ... |
<|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, Petya has an array of integers, and he wants to know if he can swap two distinct integers in the array to make it unsorted. There are a few constraints: he can't swap equal intege... |
<|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.Emuskald needs a fence around his farm, but he is too lazy to build it himself. So he purchased a fe... |
<|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 wrote down all integers from $0$ to $10^n - 1$, padding them with leading zeroes so their 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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nI'm going to try to solve this geometry problem. It's a bit tricky, but I'll take it step by step. So, we have three circles: k₁ with radius R, k₂ with radius 2R, and k₃ with radius 3R. K₁ and k₂ are externally tangent at point E₃, and both k₁ and k₂ are 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|> | [
{
"from": "user",
"value": "Triangle $ABC$ has a perimeter of 2007 units. The sides have lengths that are all integer values with $AB< BC \\leq AC$. What is the smallest possible value of $BC - AB$?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|> \n\nSo I've got this problem here: Tria... |
<|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'm trying to solve this geometry problem. Let me read it again to make sure I understand all parts.\n\nWe have a circle C with a unit radius. So, it's a circle centered somewhere, probably at the origin, with radius 1.\n\nFor any line L, we define d(L)... |
<|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": "LeRoy and Bernardo went on a week-long trip together and agreed to share the costs equally. Over the week, each of them paid for various joint expenses such as gasoline and car rental. At the end of the trip it turned out that LeRoy had paid A dollars and Bernardo had paid B doll... |
<|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 says that it takes four painters working at the same rate 1.25 work-days to finish a job. And if only three painters are available, how many work-days will it take them to finish the job, working at the same rate? And I 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": "You have nine coins: a collection of pennies, nickels, dimes, and quarters having a total value of $$1.02$, with at least one coin of each type. How many dimes must you have?\n$\\text{(A)}\\ 1\\qquad\\text{(B)}\\ 2\\qquad\\text{(C)}\\ 3\\qquad\\text{(D)}\\ 4\\qquad\\text{(E)}\\ 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": "Let $\\angle ABC = 24^\\circ$ and $\\angle ABD = 20^\\circ$. What is the smallest possible degree measure for $\\angle CBD$?\n$\\textbf{(A)}\\ 0\\qquad\\textbf{(B)}\\ 2\\qquad\\textbf{(C)}\\ 4\\qquad\\textbf{(D)}\\ 6\\qquad\\textbf{(E)}\\ 12$"
},
{
"from": "assistant",
... |
<|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 each positive integer $n$, let \n\n$a_n = \\frac{(n+9)!}{(n-1)!}$\nLet $k$ denote the smallest positive integer for which the rightmost nonzero digit of $a_k$ is odd. The rightmost nonzero digit of $a_k$ is\n$\\mathrm{(A) \\ }1 \\qquad \\mathrm{(B) \\ }3 \\qquad \\mathrm{(C) ... |
<|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.Vasya started working in a machine vision company of IT City. Vasya's team creates software and hard... |
<|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": "What is the difference in energy between the 2s state and the 2p state of a hydrogen atom, and what is the contribution of the Lamb shift to this energy difference? Please calculate this value using the perturbative approach and compare it to the experimental values."
},
{
... |
<|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. Mr. Jones has eight children of different ages, and his oldest child is 9. She spots a license plate with a 4-digit number where each of two digits appears twice. For example, something like 1122 or 2121, where two digits are... |
<|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 dive into this geometry problem. So, we have an equilateral triangle \\(ABC\\) with its incircle \\(\\omega\\). There's a variable line \\(\\ell\\) that's tangent to \\(\\omega\\) and intersects the interior of sides \\(BC\\) and \\(CA\\) at points \... |
<|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": "Find the sum of all positive integers $n$ such that $1.2n-4.4<5.2$."
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nSo I have this problem here: find the sum of all positive integers \\( n \\) such that \\( 1.2n - 4.4 < 5.2 \\). Hmm, okay, let's break 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|> | [
{
"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 a string made up of digits from 0 to 9, and I need to make this string \"good\" by erasing the minimum number of characters. A string is \"good\" if its left cyclic shif... |
<|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. Let's read it carefully.\n\nSo, Luba has a garden that's a straight line, length K. She has N buckets, each allowing her to water a continuous segment of the garden of exactly a certain length each hour. The catch 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": "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.Vasya has two arrays $A$ and $B$ of lengths $n$ and $m$, respectively.\n\nHe can perform the followi... |
<|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": "Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill?\n$\\textbf{(A)}\\ \\text{\\textdollar}120\\qquad\\textbf{(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|>\nSo I have this problem here. It says that a triangle is formed with one vertex at the vertex of the parabola y = x² - 1, and the other two vertices at the intersections of the line y = r and the parabola. I need to find all possible values of r such that 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\nI'm trying to solve this problem: Given positive integers \\(a_1, a_2, \\ldots, a_k\\) such that \\(n \\geq a_1 > a_2 > \\ldots > a_k\\) and the least common multiple (LCM) of any two of them is at most \\(n\\), prove that \\(i \\cdot a_i \\leq n\\) for al... |
<|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 need to find the number of ordered pairs \\((b, c)\\) of positive integers such that neither of the quadratic equations \\(x^2 + b x + c = 0\\) nor \\(x^2 + c x + b = 0\\) has two distinct real solutions. The options are fr... |
<|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 geometry problem to prove, and honestly, it's a bit intimidating at first glance. But I'll try to break it down step by step. So, we have two triangles, ABC and A'B'C', with their respective sides, circumradius, and inradius. We need to prove... |
<|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 looking at this geometry problem, and honestly, it's a bit overwhelming at first glance. There are a lot of elements to consider: midpoints, points on a side, angles, and collinearity. I need to prove that four points—B₁, C₁, F, and G—are collinear, wh... |
<|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 going to try to solve this geometry problem. It seems a bit tricky, but I'll take it step by step. So, we have a triangle with an incircle of radius \\(r\\), and then three smaller circles, each tangent to two sides of the triangle and the incircle, wi... |
<|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: a regular hexagon and an equilateral triangle have equal areas, and I need to find the ratio of the length of a side of the triangle to the length of a side of the hexagon. The options are sqrt(3), 2, sqrt(6), 3, and 6.\n\nFi... |
<|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": "If the points $(1,y_1)$ and $(-1,y_2)$ lie on the graph of $y=ax^2+bx+c$, and $y_1-y_2=-6$, then $b$ equals:\n$\\text{(A) } -3\\quad \\text{(B) } 0\\quad \\text{(C) } 3\\quad \\text{(D) } \\sqrt{ac}\\quad \\text{(E) } \\frac{a+c}{2}$"
},
{
"from": "assistant",
"value"... |
<|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": "What happens when aqueous solutions of barium chloride and sodium sulfate are mixed? Write the balanced chemical equation for the resulting reaction and identify the products formed by using solubility rules."
},
{
"from": "assistant",
"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": "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.Your state has just purchased a large, unspoiled tract of land, and wishes to turn it into a nature ... |
<|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": "How many $7$-digit palindromes (numbers that read the same backward as forward) can be formed using the digits $2$, $2$, $3$, $3$, $5$, $5$, $5$?\n$\\text{(A) } 6 \\qquad \\text{(B) } 12 \\qquad \\text{(C) } 24 \\qquad \\text{(D) } 36 \\qquad \\text{(E) } 48$"
},
{
"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|> | [
{
"from": "user",
"value": "<|begin_of_thought|>\n\nSo I've got this problem about a magic square, but it's not in base 10, and I need to figure out what base it is in. Let me try to understand this step by step.\n\nFirst, I need to recall what a magic square is. It's a grid where the sums of the numbers 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": "What functional group(s) are present in a compound with the molecular formula C3H6O, as determined by infrared spectroscopy?"
},
{
"from": "assistant",
"value": "<|begin_of_thought|>\n\nAlright, so I've got this chemistry question here: \"What functional group(s) are ... |
<|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 read it carefully.\n\nWe have a string `s` of length `n`, consisting only of digits 0 and 1. There's also an array `a` of length `n`, where `a_x` represents the points Vasya gets for erasing a substring of lengt... |
<|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 decrypting a message that's been encrypted using something called a grille cipher. From what I understand, the grille is like a mask with holes that you place over a grid containing the message. You read ... |
<|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, Carol has a piggy bank with only quarters and nickels, and the total amount is $4.55. Also, it's given that there are seven more nickels than quarters. I need to find out how many nickels she has.\n\nFirst, I sho... |
<|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 $a,$ $b,$ $c,$ be nonzero real numbers such that $a + b + c = 0.$ Find all possible values of\n\\[\\frac{a^2 b^2}{(a^2 - bc)(b^2 - ac)} + \\frac{a^2 c^2}{(a^2 - bc)(c^2 - ab)} + \\frac{b^2 c^2}{(b^2 - ac)(c^2 - ab)}.\\]Enter all possible values, separated by commas."
},
... |
<|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 Berland Forest can be represented as an infinite cell plane. Every cell contains a tree. That 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 dive into this problem. So, we have a natural number \\(n\\) with at least three proper divisors. Proper divisors are those divisors of \\(n\\) that are greater than 1 and less than \\(n\\) itself. For example, if \\(n = 6\\), its proper divisors are... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.