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<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
<|im_start|>user 4. Calculate $\sqrt{4+\sqrt{15}}-\sqrt{4-\sqrt{15}}$.<|im_end|> <|im_start|>assistant <think> Okay, let's see. I need to calculate the expression √(4 + √15) minus √(4 - √15). Hmm, that looks a bit complicated with nested square roots. I remember sometimes these kinds of expressions can be simplified by...
open-r1/Mixture-of-Thoughts:math::open-r1/OpenR1-Math-220k
math
<|im_start|>user What happens to the internal energy of a thin lead sheet when it is hammered?A: first increases and then decreases B: remains the same C: decreases D: increases<|im_end|> <|im_start|>assistant <think> Okay, so the question is about what happens to the internal energy of a thin lead sheet when it's hamm...
open-r1/Mixture-of-Thoughts:science::nvidia/Llama-Nemotron-Post-Training-Dataset
generic
<|im_start|>user What is the product of the single displacement reaction between lead and lead nitrate?A: Nothing B: Lead carbonate (PbCO3) C: Lead oxide (PbO) D: Lead nitrate (Pb(NO3)2)<|im_end|> <|im_start|>assistant <think> Okay, so I need to figure out the product of a single displacement reaction between lead and ...
open-r1/Mixture-of-Thoughts:science::nvidia/Llama-Nemotron-Post-Training-Dataset
generic
<|im_start|>user ## Task A-2.4. Five sides of a wooden cube are painted blue, while one side remains unpainted. The cube is then cut into smaller, congruent cubes, of which 649 have exactly one blue side. How many of the smaller cubes have exactly two blue sides?<|im_end|> <|im_start|>assistant <think> Okay, let me tr...
open-r1/Mixture-of-Thoughts:math::open-r1/OpenR1-Math-220k
math
<|im_start|>user Let $f(x)$ be a continuous function defined on $0\leq x\leq \pi$ and satisfies $f(0)=1$ and \[\left\{\int_0^{\pi} (\sin x+\cos x)f(x)dx\right\}^2=\pi \int_0^{\pi}\{f(x)\}^2dx.\] Evaluate $\int_0^{\pi} \{f(x)\}^3dx.$<|im_end|> <|im_start|>assistant <think> Okay, so I need to evaluate the integral of [...
open-r1/Mixture-of-Thoughts:math::open-r1/OpenR1-Math-220k
math
<|im_start|>user What equation describes the heat of vaporization under reduced pressure?A: Dalton's Law B: Van der Waals C: Clausius-Clapeyron D: Raoult's Law<|im_end|> <|im_start|>assistant <think> Okay, let's see. The question is about which equation describes the heat of vaporization under reduced pressure. The opt...
open-r1/Mixture-of-Thoughts:science::nvidia/Llama-Nemotron-Post-Training-Dataset
generic
<|im_start|>user What thermodynamic relationship is true at equilibrium?A: \( T \Delta{S} = \Delta{G} \) B: \( \Delta{H} = \Delta{G} \) C: \( \Delta{S} = \Delta{G} \) D: \( T \Delta{S} = \Delta{H} \)<|im_end|> <|im_start|>assistant <think> Okay, let's see. The question is asking which thermodynamic relationship is true...
open-r1/Mixture-of-Thoughts:science::nvidia/Llama-Nemotron-Post-Training-Dataset
generic
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
<|im_start|>user You will be given a competitive programming problem. Analyze the maximum input constraints and identify the optimal algorithmic approach and data structures needed to process the largest possible test cases within the time and memory limits, then explain why your chosen implementation strategy is the m...
open-r1/Mixture-of-Thoughts:code::open-r1/codeforces-cots
code
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