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There is a 70cm x 70cm board. Let's shoot the board 50 times. By pigeonhole principle,...

There is a 70cm x 70cm board. Let's shoot the board 50 times. By pigeonhole principle, we can evenly divide the board into 49 squares and we can say there is at least two bullets that are closer than 15 cm. How could we improve the solution? i.e. find two bullets at least close than 14 cm or less.

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