Question: MemLuc(n) {if n == 0 {return 2} else if n == 1 {return 1} else {if(L[n] == undefined) {L[n] = MemLuc(n - 1) + MemLuc(n

MemLuc(n) {if n == 0 {return 2} else if n ==

MemLuc(n) {if n == 0 {return 2} else if n == 1 {return 1} else {if(L[n] == undefined) {L[n] = MemLuc(n - 1) + MemLuc(n - 2)} return L[n]}} i. Describe the behavior of MemLuc(n) in terms of a traversal of a computation tree. Describe how the array L is filled. ii. Determine the asymptotic running time of MemLuc. Prove your claim is correct by induction on the contents of the array

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