Question: Input: A sequence of n numbers A = (a1, a2, , an) and a value v. Output: An index i such that v = A[i]

Input: A sequence of n numbers A = (a1, a2, , an) and a value v. Output: An index i such that v = A[i] or the special value NIL if v does not appear in A

a) (10 points) Write the pseudo code for a linear search. The linear search scans through a sequence looking for v. (Assume that indexing starts at 1 since the book uses this in its discussions of lists and sequences.) b) (10 points for loop invariant; 5 points for each property) Using a loop invariant, prove that your algorithm is correct. Make sure that your loop invariant fulfills the three necessary properties. (Be sure to discuss all three properties.)

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