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RECURSION . Consider the following fibonacci implementation: int Fib (n): if (n= 0) return 0; else if(n= 1) return 1: else return Fib (n-1) Fib

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RECURSION . Consider the following fibonacci implementation: int Fib (n): if (n= 0) return 0; else if(n= 1) return 1: else return Fib (n-1) Fib (n-2); Prove C(N) = FN+2 + FN-1-1 for N 3 where CN) is the number of Fib calls to calculate Nth fibonacci number. Fk represents kth fibonacci number. Q: How many Fib calls are needed to calculate Fib(4)? Q: Which fundamental rule of recursion does this go against

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