8 × 8 8\times8 - 2.0

Probability Level 2

There is an 8 × 8 8\times8 square. Seven fields - chosen by us - are blue, the others are white. You can colour a white square to blue, if it shares an edge with minimum 2 blue squares (diagonals don't count). Is it possible that at some point the whole square will be blue?

No, it's not possible. Yes, it's possible.

Áron Bán-Szabó by Áron Bán-Szabó , 17, Hungary

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2 solutions

1 Helpful 0 Interesting 0 Brilliant 0 Confused
H K
Jul 3, 2017

The perimeter of the blue shape is non-increasing, as can be checked easily, so its impossible considering the initial perimeter.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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