olymmath

KöMaL 2007 B3985

    The lawn in our garden consists of nn blades of glass. We want to cut the grass so that each blade of glass becomes equal in length but the total length of them stays the same. We are allowed to make nn-1 cuts on the grass blades altogether, and we may fix the cut pieces to each other and to the remaining pieces. Is it always possible to complete the grass cutting in this way?

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