To each element of the set S = {1, 2,............, 1000} a colour is assigned. Suppose that for any
two elements m & n of S, if 15 divides (m + n) then they are both assigned the same colour.
What is the maximum possible number of distinct colours used?
two elements m & n of S, if 15 divides (m + n) then they are both assigned the same colour.
What is the maximum possible number of distinct colours used?
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