Question: A big house has many windows. Each window is facing one of four directions: North, East, South, or West. Among any 9 9 windows, there

A big house has many windows. Each window is facing one of four directions: North, East, South, or West. Among any 99 windows, there necessarily exist a window facing East, a window facing South, and a window facing West. What is the maximum number of windows that this house could have?

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