Problem Analysis #26

KT Mi:dm 2.0 Base Instruct · Run 1

Correct
0.77s
865 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 the revised parabola-area problem, the boundary values for the parameter kk are

19and13.\frac19 \quad\text{and}\quad \frac13.

To avoid a range as the final answer, compute the integer

11/9+11/3.\frac{1}{1/9}+\frac{1}{1/3}.
Ground Truth
12
Recorded model response / solution
Reasoning Process

To solve the given expression 11/9+11/3\frac{1}{1/9} + \frac{1}{1/3}, we proceed step-by-step:

  1. Compute 11/9\frac{1}{1/9}:

    11/9=1÷19=1×9=9.\frac{1}{1/9} = 1 \div \frac{1}{9} = 1 \times 9 = 9.

  2. Compute 11/3\frac{1}{1/3}:

    11/3=1÷13=1×3=3.\frac{1}{1/3} = 1 \div \frac{1}{3} = 1 \times 3 = 3.

  3. Add the results:

    9+3=12.9 + 3 = 12.

Thus, the final answer is 12\boxed{12}.

Final Model Output
12

Comparative Analysis (P26) (Average across runs)

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

Avg Time Taken

GPT-5.5
3.7
DeepSeek V4 Pro
3.2
K-EXAONE-236B-A23B
3.0
Gemini 3.5 Flash
2.9
Claude Opus 4.8
1.9
Solar Pro 3
0.8
KT Mi:dm 2.0 Base Instruct
0.6

Avg Token Usage

KT Mi:dm 2.0 Base Instruct
869.7
K-EXAONE-236B-A23B
555.0
Gemini 3.5 Flash
480.0
DeepSeek V4 Pro
346.7
Solar Pro 3
285.0
Claude Opus 4.8
273.0
GPT-5.5
242.7
    Tokyo · Problem 26 · KT Mi:dm 2.0 Base Instruct | EntropyMath