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Consider this recursive function F, in which n/2 means the floor of n/2 Recursive function F(n) If (n 1) return 0 else return 1 +F(n/2)

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Consider this recursive function F, in which n/2 means the floor of n/2 Recursive function F(n) If (n 1) return 0 else return 1 +F(n/2) end Write a closed formula for the function computed by F. Using the e notation, give a formula for the running time of F. Each call to F counts as one time unit Use mathematical induction to prove both of your formulas

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