Problem Analysis #13

Claude Opus 4.8 · Run 1

Correct

1.60s

249 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.

For the relevant optimization problem, the maximum value is $19/6$ . If the maximum is $p/q$ in lowest terms, find $p+q$ .

Ground Truth

Recorded model response / solution

Reasoning Process

19/6 is already in lowest terms, so p=19, q=6, p+q=25.

$\boxed{25}$

Final Model Output

Comparative Analysis (P13) (Average across runs)

Averages use reported measurements only. Missing usage is not treated as zero.

Avg Time Taken

K-EXAONE-236B-A23B

24.2

Gemini 3.5 Flash

5.3

DeepSeek V4 Pro

4.7

GPT-5.5

4.1

Solar Pro 3

2.4

Claude Opus 4.8

1.7

KT Mi:dm 2.0 Base Instruct

0.5

Avg Token Usage