Mathematics · Reasoning and Logical Deduction
A residential layout contains a sequence of four interconnected rectangular rooms arranged in a 2 × 2 grid. Point P is located inside the top-left room, and Point Q is located inside the bottom-right room. Each wall separating two adjacent rooms has exactly one door connecting them, and there are no external exits. If all doors are initially closed, what is the minimum number of doors that must be opened to travel from point P to point Q?
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