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Problem #90 MEDIUM

The Recursive Chocolate Bar

Google Microsoft Invariants Combinatorics

Problem Statement

A chocolate bar is a rectangular grid of m × n small squares. You want to break it into individual squares. Each break snaps one piece (no matter its current size) along a straight line, splitting it into two pieces. You cannot stack pieces and break multiple at once. How many breaks are required to fully separate an m × n bar into individual squares? Does your strategy matter, or is the answer always the same regardless of how you break it?

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