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": "Given the equations\n\\[ a^4 + 8b = 4a^3 - 4 - 16\\sqrt{3} \\... |
[
{
"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": "In a triangle \\(ABC\\), let point \\(I\\) be the incenter. L... |
[
{
"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 remainder when \\( 6^{51} + 8^{51} \\) is divided... |
[
{
"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{}. Ava's machine ta... |
[
{
"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 polynomial \\( P(x) \\) of degree \\( n \\) satisfies \\( P... |
[
{
"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": "Total energy for MnO magnetic solid by considering a spin con... |
[
{
"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": "Suppose \\((p, q) = 1\\), \\((p, 10) = 1\\), and \\((q, 10) =... |
[
{
"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{}. Show that in eve... |
[
{
"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 the isosceles... |
[
{
"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": "Why is it assumed that in this experiment, the jump will be 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": "Given positive real numbers \\( x_1, x_2, \\dots, x_n \\) suc... |
[
{
"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 can a hybrid Raft/MultiβPaxos protocol be designed to ach... |
[
{
"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 you give me an example of pasta with avocado nad cooked 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": "Return your final response within \\boxed{}. \nFind all 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": "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 does the interplay between defunctionalization, closure 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": "What microscopic mechanisms reconcile the emergence of correl... |
[
{
"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": "Let \\( x, y, z \\) be real numbers such that\n\\[\n\\frac{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": "Solve the equation: $\\frac{66}{5} + x + \\frac{x^2}{3x-1} + ... |
[
{
"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": "Compute \\( \\lim_{x \\to 0^+} x^{x^{x^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": "In a square \\(ABCD\\), point \\(H\\) is inside the square su... |
[
{
"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 named `plot` that generates a scatt... |
[
{
"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 a polynomial \\( P(x_1, x_2, \\ldots, x_n) \\) over ... |
[
{
"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{}. Let the 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": "Derive the conditions under which the Lindblad master equatio... |
[
{
"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 looking for data sets which clock the time and precise l... |
[
{
"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 rigorous finiteβsize scaling analysis can be employed to... |
[
{
"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": "Formulate the crossβcorrelation statistic for a pulsar timing... |
[
{
"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 double-decker bus, there are different types of seating ... |
[
{
"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 kinetic competition between DNA repair pathways ... |
[
{
"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": "Suppose $ABCD$ is a regular triangular pyramid, which is a fo... |
[
{
"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 trying to determine the boltzmann constant by using a bi... |
[
{
"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 a Python program to calculate the average of every ... |
[
{
"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 inequality: 7x + 7 > -18. Express the solution in i... |
[
{
"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 plane intersects a sphere of radius $R$ at a distance $x$ 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": "Create a python module that implements a web page fetcher wit... |
[
{
"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 $[x]$ and $\... |
[
{
"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": "What is the total sum of the first five terms in the geometri... |
[
{
"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_a^{\\infty} \\frac{n^2xe^{-n^2x^... |
[
{
"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 function that takes a list of integers and ret... |
[
{
"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": "Starting with the number $0$ and a positive integer $k > 1$, ... |
[
{
"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 the angles... |
[
{
"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 comprehensive gyrokinetic model incorporating both micr... |
[
{
"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 generator function that reads through an ope... |
[
{
"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": "What's the difference between character and embodied cognitio... |
[
{
"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 limit $\\sum\\limits_{x=1}^{\\infty}\\frac{1}{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": "Entropy for constant temperature process, when instead of vol... |
[
{
"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 integers \\( n \\) are there such that the sum of 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": "Given a square \\(ABCD\\) and a square \\(AEFG\\) with side l... |
[
{
"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": "What would be an effective approach to implement an artificia... |
[
{
"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": "What is the answer to this question? sequel to the book holes... |
[
{
"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": "Generate a SQL query that returns the employees whose names 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": "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": "In a group of 8 people, six people are selected for a club. 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": "Given a complete binary tree with the height of H, we index 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": "Return your final response within \\boxed{}. For four distinc... |
[
{
"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 ways can 'n' guests (where \\( n > 2 \\)) be arrange... |
[
{
"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": "Entry fee is Re.1.there are 3 rides each is of Re.1. total bo... |
[
{
"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 functions \\( f: \\mathbb{R} \\rightarrow \\mathbb{R... |
[
{
"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": "If $\\gcd(a,b)=1$ and $3n+1$ is prime, find the smallest 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": "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{}. In a red box, 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": "Given a circle with center $O$ and diameter $AB$. Let $P$ be ... |
[
{
"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": "Let \\(a\\), \\(b\\), and \\(c\\) be the sides of a triangle ... |
[
{
"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 DPLLβbased SAT solver with advanced constraint propagat... |
[
{
"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 |3x - 3| = 15. List all solutions."
},
{
"role"... |
[
{
"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 you tell me more about the traditional crafts showcased 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": "I have heard that gravity came from energy and momentum so ph... |
[
{
"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 graphβtheoretic model best captures the cooperative bind... |
[
{
"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 python GUI application using tkinter that displays 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": "Given a string S, in an operation you can remove 3 consecutiv... |
[
{
"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 boat follows the curve given by \\( x = -2 + 3h \\) and \\(... |
[
{
"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{}. 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": "Write a python 3 program that measures and prints the executi... |
[
{
"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 function in JavaScript that removes all occurrences 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": "Let \\( S_k = 1 + 2 + 3 + \\ldots + k \\) and \\( Q_n = \\fra... |
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