HMMT 二月 2018 · 冲刺赛 · 第 35 题
HMMT February 2018 — Guts Round — Problem 35
题目详情
- [ 20 ] In a wooden block shaped like a cube, all the vertices and edge midpoints are marked. The cube is cut along all possible planes that pass through at least four marked points. Let N be the number of pieces the cube is cut into. Estimate N . An estimate of E > 0 earns b 20 min( N/E, E/N ) c points.
解析
- [ 20 ] In a wooden block shaped like a cube, all the vertices and edge midpoints are marked. The cube is cut along all possible planes that pass through at least four marked points. Let N be the number of pieces the cube is cut into. Estimate N . An estimate of E > 0 earns b 20 min( N/E, E/N ) c points. Proposed by: Yuan Yao Answer: 15600