Problem Analysis #16

Gemini 3.5 Flash · Run 1

Correct
4.79s
947 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.

In a revised numeric version of the triangle-area problem, the target area is 1/21/2. If the target area is p/qp/q in lowest terms, find p+qp+q.

Ground Truth
3
Recorded model response / solution
Reasoning Process

To find the value of p+qp+q where the target area is 12\frac{1}{2} expressed as pq\frac{p}{q} in lowest terms:

  1. The target area is given as 12\frac{1}{2}.
  2. This fraction is already in its lowest terms, so p=1p = 1 and q=2q = 2.
  3. We calculate p+q=1+2=3p + q = 1 + 2 = 3.

\boxed{3}

Final Model Output
3

Comparative Analysis (P16) (Average across runs)

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

Avg Time Taken

DeepSeek V4 Pro
27.9
K-EXAONE-236B-A23B
24.9
Solar Pro 3
4.7
GPT-5.5
4.6
Gemini 3.5 Flash
4.2
Claude Opus 4.8
1.4
KT Mi:dm 2.0 Base Instruct
0.6

Avg Token Usage

DeepSeek V4 Pro
2330.7
Gemini 3.5 Flash
836.7
KT Mi:dm 2.0 Base Instruct
821.0
Solar Pro 3
813.7
K-EXAONE-236B-A23B
759.7
GPT-5.5
288.0
Claude Opus 4.8
224.0
    Tokyo · Problem 16 · Gemini 3.5 Flash | EntropyMath