Number N Perfect Sum Factors Except N Sum Exactly N Example 28 Perfect Since Factors 1 2 4 Q43785063
-A number n is perfect if the sum of its factors (except nitself) sum to exactly n. For example, 28 is perfect, since itsfactors (1,2,4,7,14) sum to 28. But 12 is not perfect: its factors(1,2,3,4,6) sum to 16, which is not 12. The PERFECT decisionproblem has as its input a number n written in binary and shouldoutput yes exactly when n is perfect. -Show that PERFECT is in NP.Is PERFECT in P? If yes, give a polynomial-time algorithm to checkif a given integer n is perfect.
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Answer to -A number n is perfect if the sum of its factors (except n itself) sum to exactly n. For example, 28 is perfect, since i…
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