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Chessboard You wish to color a chessboard (8×8) in such a way that, in any 2×2 block of contiguous squares, exactly two are white and exactly two are black. In how many ways can this be done? (Two colorings count as different even if one can be obtained from the other by a rotation or a reflection. True or False A sheet of paper contains n (n³2002) statements. The first statement reads "The number of false statements on this paper is a multiple of 1", the second statement reads "The number of false statements on this paper is a multiple of 2", and so on. Given that the 2002nd statement is in fact true, what are the two smallest possible values of n? |