Consider the searching problem: Input: A sequence of n numbers A = (a1, a2, a3, an ) a value V. ..... 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: Input: A sequence of n numbers A = (a1, a2, a3, an ) a value V. ..... 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.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Show detailed workout. Give your logical reasoning, where required, in simple and comprehensive
sentences.
![Consider the searching problem:
Input: A sequence of n numbers A = (a1, az, a3,
an ) a value V.
**...
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56ea8915-8c41-4ce4-8689-76b4cd10c2f9%2Fb081b780-4623-4da4-9f58-d786a4f55764%2Fzuvfu3o_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the searching problem:
Input: A sequence of n numbers A = (a1, az, a3,
an ) a value V.
**...
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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