No Three Pawns on a Line
How many pawns can you place at most on a chess board so that no three pawns lie on a single line, horizontal, vertical, or diagonal?
SOLUTION
Since there are 8 rows on the chess board, if you place more than 16 pawns, then there will be at least 3 that lie on a single horizontal line. An example with 16 pawns is shown below:
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