How many steps

Logic Level 2

How many steps are required to break a m × n m \times n sized bar of chocolate into 1 × 1 1 \times 1 pieces?

• You can break an existing piece of chocolate horizontally or vertically.

• You cannot break two or more pieces at once (so no cutting through stacks)

m × n m \times n - 1 steps m × n m \times n - 4 steps m × n m \times n - 2 steps m × n m \times n - 5 steps m × n m \times n - 3 steps

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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1 solution

Munem Shahriar
Jun 5, 2017

By breaking an existing piece horizontally or vertically, you merely increase the total number of pieces by one.

You already have 1 piece, so need m × n m \times n - 1 steps to get to m×n pieces

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