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Letnbe a positive integer. The goal is to find nonnegative integersA, B,CandDsuch thatn= 25A+ 10B+ 5C+Dsubject to the constraint thatA+B+C+Dis minimized. Givea greedy algorithm, that getsnas input and outputsA, B, CandD. Prove the correctnessof your algorithm.

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