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Suppose we find the 8th term using the recursive implementation. The arguments passed to the function calls will be as follows: fibonacci(8)fibonacci(7) + fibonacci(6)fibonacci(6) + fibonacci(5) + fibonacci(5) + fibonacci(4)fibonacci(5) + fibonacci(4) + fibonacci(4) + fibonacci(3) + fibonacci(4)+ fibonacci(3) + fibonacci(3) + fibonacci(2)::: Which property is shown by the above function calls? Memoization Optimal substructure Overlapping subproblems Greedy

Question

Suppose we find the 8th term using the recursive implementation. The arguments passed to the function calls will be as follows: fibonacci(8)fibonacci(7) + fibonacci(6)fibonacci(6) + fibonacci(5) + fibonacci(5) + fibonacci(4)fibonacci(5) + fibonacci(4) + fibonacci(4) + fibonacci(3) + fibonacci(4)+ fibonacci(3) + fibonacci(3) + fibonacci(2)::: Which property is shown by the above function calls? Memoization Optimal substructure Overlapping subproblems Greedy

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Solution

The property shown by the above function calls is Overlapping Subproblems. This is because the same subproblems (like fibonacci(5), fibonacci(4), fibonacci(3), etc.) are being solved multiple times. In dynamic programming, this property is utilized to optimize the solution by storing the results of these subproblems so that when they are needed again, they can be directly used instead of being recalculated.

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