Problem Analysis #15

DeepSeek V4 Pro · Run 1

Correct

3.71s

305 toks

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

L=\log 2-\frac12.

To avoid a logarithmic final answer, compute the integer

e^{L+1/2}.

Ground Truth

Recorded model response / solution

Reasoning Process

The original limit is $L = \log 2 - \frac{1}{2}$ . Adding $\frac{1}{2}$ gives $L + \frac{1}{2} = \log 2$ . Then $e^{L + 1/2} = e^{\log 2} = 2$ .

\boxed{2}

Final Model Output

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