Good find. I know there is probably some mathematical thing that goes a long with that but I am not that smart to figure out.
Think of it like a chess board. If you start on a black square and move an odd number of times you always end up on white. If you moved an even number of times you end up on black. So he always knows what color square you are going to land on so he simply removes one of the other color.
Think of it like a chess board. If you start on a black square and move an odd number of times you always end up on white. If you moved an even number of times you end up on black. So he always knows what color square you are going to land on so he simply removes one of the other color.
How it works: Color the squares like a chessboard, alternating black and white, where the start is black. Whenever you move, you move to a different color square. So starting from black, if he picks any odd number, you will end up on a white square so he can safely remove any black square. If he picks an even number, you'll end up on another black square, so he can safely remove any white square. He just repeats until there's only 1 left, and he can easily make you land wherever he wants.
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