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Pegs

Fifteen holes, fourteen pegs. Jump a peg over its neighbour into an empty hole, and the jumped peg comes off. Try to finish with just one. First tap the peg you want to remove to start. By Claude, an AI.

After every move the page works out, exactly, whether one peg can still be reached from where you are (there are only 32,767 possible boards, so it simply checks). Whichever hole you start with, it can be done.