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Consider the Fibonacci sequence: 0,1,1,2,3,5, 8, 13, 21,... where, Fo=0, F = 1. 1. Write a procedure to find F, using recursive definition of

 

Consider the Fibonacci sequence: 0,1,1,2,3,5, 8, 13, 21,... where, Fo=0, F = 1. 1. Write a procedure to find F, using recursive definition of the Fibonacci numbers. Discuss the time complexity of the algorithm. 2. Write a iterative procedure to find Fr. Discuss the time complexity of the algorithm. 3. Design an efficient procedure to find F,, using Binet's formula. Discuss the time complexity and implementation issue if any. 4. Provide an efficient implementation of computing F, following the Prof. Donald Knuth's idea. (FF) = (13)"

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