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Engineering
Data Structures and Algorithms
Consider the searching problem: (a1, a2,..., an) and a value v. Input: A sequence of n numbers A = Output: An index i such that v = A[i] or the special value NIL if v does not appear in A. Write pseudocode for linear search, which scans through the sequence, looking for v. Using a loop invariant, prove that your algorithm is correct. Make sure that your loop invariant fulfills the three necessary properties.

Consider the searching problem: (a1, a2,..., an) and a value v. Input: A sequence of n numbers A = Output: An index i such that v = A[i] or the special value NIL if v does not appear in A. Write pseudocode for linear search, which scans through the sequence, looking for v. Using a loop invariant, prove that your algorithm is correct. Make sure that your loop invariant fulfills the three necessary properties.

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Consider the searching problem: (a1, a2,..., an) and a value v. Input: A sequence of n numbers A = Output: An index i such that v = A[i] or the special value NIL if v does not appear in A. Write pseudocode for linear search, which scans through the sequence, looking for v. Using a loop invariant, prove that your algorithm is correct. Make sure that your loop invariant fulfills the three necessary properties.
Transcribed Image Text:Consider the searching problem: (a1, a2,..., an) and a value v. Input: A sequence of n numbers A = Output: An index i such that v = A[i] or the special value NIL if v does not appear in A. Write pseudocode for linear search, which scans through the sequence, looking for v. Using a loop invariant, prove that your algorithm is correct. Make sure that your loop invariant fulfills the three necessary properties.
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