API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.
Problem Statement
This is a Korean CSAT mathematics numerical-answer problem. Solve it and put only the final integer value inside \boxed{}.
Problem 22 LetA(a, b) be a point in the first quadrant on the curve y= log 16(8x+ 2), and letBbe a point in the first quadrant on the curve y= 4 x−1 − 1 2 . The reflection ofAacross the liney=xlies on the lineOB, whereOis the origin, and the midpoint of segmentABhas coordinates 77 8 , 133 8 . If a×b= p q , wherepandqare coprime natural numbers, computep+q. [4 points] 9 Mathematics (Probability and Statistics)
Ground Truth
457
Recorded model response / solution
Reasoning Process
\boxed{457}
Final Model Output
457
Comparative Analysis (P21) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.
Avg Time Taken
Kimi K3
147.8
Solar Pro 4
118.0
Motif 3
74.7
K-EXAONE-2
15.6
Avg Token Usage
Solar Pro 4
8465.0
K-EXAONE-2
4857.3
Kimi K3
3912.0