API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.
Problem Statement
Return a single integer only. The problem has been revised so that no final answer is an irrational number, a parameterized expression, a range, a proof, a drawing, a graph, a locus equation, or a region description.
The original limit value is
To avoid a logarithmic final answer, compute the integer
Ground Truth
2
Recorded model response / solution
Reasoning Process
\boxed{2}
Final Model Output
2
Comparative Analysis (P15) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.
Avg Time Taken
K-EXAONE-236B-A23B
34.9
DeepSeek V4 Pro
5.0
Gemini 3.5 Flash
4.3
GPT-5.5
4.1
Claude Opus 4.8
2.7
Solar Pro 3
1.0
KT Mi:dm 2.0 Base Instruct
0.9
Avg Token Usage
K-EXAONE-236B-A23B
2002.0
KT Mi:dm 2.0 Base Instruct
901.0
Gemini 3.5 Flash
795.0
DeepSeek V4 Pro
367.7
Solar Pro 3
299.0
Claude Opus 4.8
243.7
GPT-5.5
223.3