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GULF 2019 Problem 2

    1. Find NN , the smallest positive multiple of 4545 such that all of its digits are either 77 or 00 .
    2. Find MM , the smallest positive multiple of 3232 such that all of its digits are either 66 or 11 .
    3. How many elements of the set {1,2,3,...,1441}\{1,2,3,...,1441\} have a positive multiple such that all of its digits are either 55 or 22 ?

    Dataset text AI-MO AoPS. Quoted with source.

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