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巧克力掰块

Chocolate Bar Problem

专题
Brainteaser / 脑筋急转弯
难度
L4

题目详情

一块 6×8 的巧克力由 48 个 1×1 小方块组成。每次只能把一块矩形巧克力沿网格线掰成两块,重复直到得到 48 个 1×1 小块。

问:最少需要掰几次?

A chocolate bar is 6×8, made up of 48 unit squares. You break a rectangle into two smaller rectangles at each step, until you end up with 48 individual squares. How many breaks does this require?

解析

需要 47 次。

每掰一次,块数只会增加 1。初始 1 块,目标 48 块,因此至少需要 481=4748-1=47 次,且可达到。


Original Explanation

It requires 47 breaks. Each break increases the total number of pieces by 1 (from 1 piece to 48 pieces, so 47 breaks).