Question # 01: Consider the searching problem: Input: A sequence of n numbers A = (a, 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.
Question # 01: Consider the searching problem: Input: A sequence of n numbers A = (a, 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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(Note: Provide logical reasoning, where required, in simple and comprehensive sentences. Do not write unnecessary stuff.)
![Question # 01:
Consider the searching problem:
Input: A sequence of n numbers A = (a, a2, a3,
,an ) a value V.
**....
Output: An indexi 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%2F144469b6-6e0e-423e-b21c-ccfcef6a65da%2F4269877d-791c-479c-bf60-bf857f1b4bb3%2F22hz0vn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question # 01:
Consider the searching problem:
Input: A sequence of n numbers A = (a, a2, a3,
,an ) a value V.
**....
Output: An indexi 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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