City of Primes

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Alan lives in the beautiful city of primes with $N$ houses where each house is numbered with some positive integer $h_i$ and no two houses in the city have a road connecting them, So Alan decided that he will lay a road between two houses A and B if the numbers written on those have same set of prime factors and if neither of the two houses already has a road connecting to some other house. Ala

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solution.cppC++17

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