messages listlengths 3 3 |
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[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find the real values of \\( m \\) such that the following sys... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Simplify the expression $\\frac{a^2}{b+c} + \\frac{b^2}{c+d} ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Use Fermat's little theorem to compute 3^68 mod 23."
},
{... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find the largest real number \\( a \\) such that for any two ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "What formal verification techniques can be integrated into re... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Given a $5 \\times 5$ chessboard, define $S$ to be the set of... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "The average temperature for Tuesday, Wednesday, and Thursday ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Solve in TypeScript: Merge 5 sorted linked lists into one sor... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Can a microscopic spin‑fluctuation model simultaneously repro... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "How does the OTP supervisor's one_for_all strategy interact w... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "We have a tree with N vertices numbered 1 to N. The i-th edge... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Given non-negati... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Gus eats 2 eggs-omelet for breakfast. He has an egg salad sa... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "In an election where 17,853 people voted, the first group of ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find all the real solutions \\((x, y, z)\\) to the following ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Let \\( a, b, c \\) be real numbers such that \\( a + b + c =... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Consider real numbers \\(a_1, a_2, \\ldots, a_n\\) such that ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Create a Python3 module that builds and structures geospatial... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "This is a great post about environmentally friendly fashion b... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "How many distinct ways are there to color each edge of an n-v... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find all natural numbers \\( n \\) such that there exist \\( ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Let \\( 0 < x < ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Several girls (a... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Given four posit... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Consider an $n$-dimensional cube. How many distinct intersect... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Define a function $h(x),$ for positive integer values of $x,$... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. A basket contain... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Solve the differential equation:\n\\[ f''(x)\\left( {1 - f'(f... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Weiwei is 8 year... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Given an unsorted array Arr of length N. Your task is to find... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "I am using the `maven-assembly-plugin` to assemble different ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. In triangle \\(A... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. How many differe... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "For each \\( n \\in \\omega \\), let \\( X_n \\) be the set \... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Inside the triangle \\(ABC\\) there is a point \\(D\\) such t... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. The area of the ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Define the seque... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Solve in C++: Given 6 strings, find the longest common prefix... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Find the value o... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "A 50-digit prime number \\( p \\) is divided by 120, and the ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Create a Python3 function that calculates the average of a li... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Assume if we had a 2 tonne weight placed on ground attached w... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Is it possible t... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Given a quadrilateral \\(ABCD\\) inscribed in circle \\(K\\),... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "What is the simplified fraction form of the product of $0.\\o... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Implement the Singleton design pattern in Ruby using a paymen... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Create a Python3 configuration module that defines database c... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Let \\(ABCD\\) be a cyclic quadrilateral with \\(m(\\angle A)... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Calculate the integral\n\n\\[\n\\int^{\\frac{3\\pi}{2}}_{\\fr... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Nick has six nic... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Given that \\(a + b + c = 1\\) and \\(a, b, c \\geq 0\\), fin... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find all integer solutions to the equation \\(2^n = 615 + x^2... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Calculate the area of a circle with radius 10.22."
},
{
... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "What universal scaling laws govern the non-equilibrium critic... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "How many four-digit natural numbers $\\overline{abcd}$ are th... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "How can one rigorously quantify the bias and variance trade‑o... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Below you are given code written in python that contains the ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "How many 5-digit numbers can be formed using the digits 1, 2,... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find all lists $(k, n, 2007)$ such that $(k+i) \\mid (n+i)$ f... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "The sequence $6075, 2025, 675 \\ldots$, is made by repeatedly... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Return your final response within \\boxed{}. Let point \\( S ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Rectangle $ABCD$ has $AB=4$ and $BC=3$. Segment $EF$ is const... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find all real numbers \\( (x_{1}, x_{2}, \\ldots, x_{2012}) \... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Develop an efficient and accurate computer vision algorithm t... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Create a Quarkus (Java) REST service for tags with write-opti... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Given the four digits 2, 4, 6, and 7, how many different posi... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find all $(x, y, z) \\in \\mathbb{N}^3$ such that $4^x + 4^y ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "In a right-angled triangle \\(ABC\\) with a right angle at \\... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Evaluate the integral $\\int \\cot^{4} x \\ dx$."
},
{
... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "In a Dyna-style architecture, how does the bias-variance trad... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Considering CUDA’s memory hierarchy, how can one design a war... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "In an orthogonal $ABCD$ with $AB = a$ and $AD = b$, a line $(... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Find all $a \\in \\mathbb{R}$ for which the functional equati... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Given a rank‑n cluster algebra with initial seed (x, B), how ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Create a Python3 script that generates random control sequenc... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Write a Python 3 script that measures and compares the execut... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Let D be an interior point of the acute triangle ABC with AB ... |
[
{
"role": "system",
"content": "You are a highly capable AI assistant. For every response, you must first show your step-by-step reasoning process within a <think> block, followed by the final answer."
},
{
"role": "user",
"content": "Generate an executable Python function generated from the giv... |
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