Encoding integers

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Chef recently came to know about a theorem, which states that any natural number n can be uniquely represented as a sum of Fibonacci numbers: N=Fk1+Fk2+…+Fkr such that k1≥k2+2, k2≥k3+2, …,(i.e.: the representation cannot use two consecutive Fibonacci numbers). It follows that any number can be uniquely encoded in the Fibonacci coding. And we can describe this representation with binary codes

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solution.cppC++17

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