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 complex cubic problem, one endpoint of the possible range of is , and the relevant area is . Encode the endpoint by , and encode the area by squaring it. Find the sum of the two encoded integers.
Ground Truth
98
Recorded model response / solution
Reasoning Process
Endpoint encoded: 23+27 = 50
Area encoded: (4√3)² = 48
Sum: 50 + 48 = 98
\boxed{98}
Final Model Output
98
Comparative Analysis (P24) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.
Avg Time Taken
K-EXAONE-236B-A23B
27.1
Gemini 3.5 Flash
4.6
DeepSeek V4 Pro
4.0
GPT-5.5
3.6
Claude Opus 4.8
2.3
Solar Pro 3
2.0
KT Mi:dm 2.0 Base Instruct
0.7
Avg Token Usage
K-EXAONE-236B-A23B
1114.3
KT Mi:dm 2.0 Base Instruct
899.7
Gemini 3.5 Flash
850.3
Solar Pro 3
501.3
DeepSeek V4 Pro
372.7
Claude Opus 4.8
321.7
GPT-5.5
285.7