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25 People in a Square Grid Puzzle (TANTON Mathematics)

Twenty-five people stand in a square 5x5 grid, one person per cell. At the blow of a whistle, each person is to take a single step, horizontally or vertically and move into a neighboring cell to end up as a new configuration of 25 people standing in a 5x5 grid, one person per cell. Can it be done? This little video gives away the answer, so perhaps try playing with this first before watching!
Length: 03:44

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