Solve all parts Consider the problem of computing N! = 1 · 2 · 3 N. If N is an n
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Question
Solve all parts
Consider the problem of computing N! = 1 · 2 · 3 N. If N is an n-bit number, how many bits long is N!. approximately (in Theta(·) form)? Give an algorithm to compute N! and analyze its running time. Let Fn denote the nth Fibonacci number. Show by induction that for all n 1. gcd(Fn+1.Fn) = 1. Give an efficient algorithm to compute the least common multiple of two n-bit numbers x and y, that is, the smallest number divisible by both x and y. What is the running time of your algorithm as a function of n?Explanation / Answer
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