Consider an n×n square board, where n is a fixed even positive integer. The board is...

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Advance Math

Consider an n×n square board, where n is a fixed even positiveinteger. The board is divided into n 2 unit squares. We say thattwo different squares on the board are adjacent if they have acommon side. N unit squares on the board are marked in such a waythat every unmarked square on the board is adjacent to at least onemarked square. Determine the smallest possible value of N.

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4.4 Ratings (742 Votes)
I believe this is a tough combinatorics problem that requires alot of imagination    See Answer
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