Question: 1. Use the above functions to write a C++ program for solving each of the following computational problems. I. Find the exact value of f100,

1. Use the above functions to write a C++ program for solving each of the following computational problems.

I. Find the exact value of f100, f500, and f1000, where fn is the nth Fibonacci number. What are times taken to find out the exact values?

II. Find the smallest Fibonacci number greater than 1,000,000 and greater than 1,000,000,000.

III. Find as many prime Fibonacci numbers as you can. It is unknown whether there are infinitely many of these. Find out the times taken to find first 10, 20, 30, 40up to 200 and draw a graph and see the pattern.

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