Problem Analysis #geometry_23

Motif 3 · Run 1

Python ● execution succeeded

Correct

4.35s

1,766 toks

Infron · Motif 3 · 46문항 × 3회 · Python TAR. 131,072 output tokens · 기본 1,800초 · 6+1 turns. ACC는 전체 138회, Pass@1은 각 문항의 첫 유효 시도, Pass@3는 3회 내 정답으로 계산합니다.

Problem Statement

두 벡터 $\vec a=(4,1)$ , $\vec b=(-1,-1)$ 에 대하여 $\vec a+\vec b$ 의 모든 성분의 합은?

① $1$ ② $2$ ③ $3$ ④ $4$ ⑤ $5$

최종 답은 선택지 번호 1~5 중 하나를 $\boxed{}$ 안에 쓰세요.

Ground Truth

Recorded model response / solution

Reasoning Process

Recorded Python call:

a = (4, 1)
b = (-1, -1)
sum_vec = (a[0] + b[0], a[1] + b[1])
component_sum = sum_vec[0] + sum_vec[1]
print("a + b =", sum_vec)
print("Sum of components:", component_sum)

Tool Output

Execution succeeded a + b = (3, 0) Sum of components: 3

Reasoning Process

$\vec a + \vec b = (4,1) + (-1,-1) = (3,0)$ . 모든 성분의 합은 $3 + 0 = 3$ 이므로 정답은 ③입니다.

$\boxed{3}$

Final Model Output

Comparative Analysis (Pgeometry_23) (Average across runs)

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

Avg Time Taken

MiMo V2.6 Pro

23.6

Union Alpha

17.6

Grok 4.7

8.7

Solar Pro 4

6.7

Motif 3

6.2

Muse Spark 1.3

5.6

DeepSeek V4.1 Flash

3.0

Solar Mini 4 Preview

0.8

Avg Token Usage

Grok 4.7

4,488

Muse Spark 1.3

2,952

Solar Pro 4

2,604

Motif 3

2,205

DeepSeek V4.1 Flash

2,067

MiMo V2.6 Pro

1,722

Union Alpha

1,529

Solar Mini 4 Preview

1,108