DEAR-Tao/Qwen2.5-1.5B-Instruct-GRPO-think-lora
Reinforcement Learning • 2B • Updated • 2
prompt listlengths 2 2 | solution stringlengths 2 307 |
|---|---|
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $3$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\sqrt{10}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $3$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\frac{2}{5}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $7$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $b^2 - a^2$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $3$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | No |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\infty$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $n \cdot n!$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $np - rs$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $7$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1865$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\sqrt{a_1 a_3}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $2$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $160$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\pi$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $2x^3$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{1}{21}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $16\pi$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $5$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $2^{1992}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $p$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $-1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $75$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{1}{6}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $21$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $21$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $2 \ln 2 - 1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{2}{\pi}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $e - 1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $-4\sqrt{2}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\mathbb{R}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{1}{2}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $C$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $3\sqrt{2}\pi$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $34179$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $e^{\frac{7}{8}}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $2$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $30$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $-30240$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $A$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $-i$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $-2\pi$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $B$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1776$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $42$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $4\pi^2 A B$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{T}{3}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $141$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $A$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{1}{2}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{1}{3}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{9}{100}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $6$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $a - a^3$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $2^n$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | No |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $0$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $p > 1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $A$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\dfrac{1}{3}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $21$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $1$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $(1, 1)$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $3$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $D$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $4$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\gamma$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | $\min\{k + 1, n\}$ |
[
{
"content": "Your role as an assistant involves thoroughly exploring questions through a systematic long thinking process before providing the final precise and accurate answers. This requires engaging in a comprehensive cycle of analysis, summarizing, exploration, reassessment, reflection, backtracing, and it... | Yes |
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