HMMT 十一月 2016 · 冲刺赛 · 第 4 题
HMMT November 2016 — Guts Round — Problem 4
题目详情
英文原题
- [ 6 ] A square can be divided into four congruent figures as shown:
For how many n with 1 ≤ n ≤ 100 can a unit square be divided into n congruent figures?
解析
英文解析
- [ 6 ] A square can be divided into four congruent figures as shown:
For how many n with 1 ≤ n ≤ 100 can a unit square be divided into n congruent figures?
Proposed by: Kevin Sun
Answer: 100
We can divide the square into congruent rectangles for all n , so the answer is 100 .