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Solution

Condition: No two adjacent boxes (including diagonally) can have the same colour.

First Figure (cross shape):
Due to diagonal touching, 3 colours are not sufficient.
Minimum colours required = 4

Second Figure (3×3 grid):
Each box touches many others including diagonally, forming a highly connected pattern.
At least 4 colours are required to avoid repetition.

Final Answer: (b) (4, 4)