Considering the sorting problem, we have a list of n integers A = (v1, V2, · · · Vn). We want to sort the array using insertion sort whose pseudo-code is as follows: note n := A.length denotes the size of the array, number of items. Algorithm 2 INSERTION-SORT(A) for i = 1 to n – 1 do - j+i- 1 while A[j] > A[j+1] ^ j 2 0 do swap (A[j], A[j + 1]) j+j-1 ond uhilo

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
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how i prove this algorithm or insertion sort by  induction 

Prove that the following algorithm is correct:
Considering the sorting problem, we have a list of n integers A = (v1, v2, · . vn). We
want to sort the array using insertion sort whose pseudo-code is as follows: note
n := A.length denotes the size of the array, number of items.
Algorithm 2 INSERTION-SORT(A)
for i = 1 to n – 1 do
j+i - 1
while A[j] > A[j+1] ^ j > 0 do
swap (A[j], A[j + 1])
j+j – 1
end while
end for
Transcribed Image Text:Prove that the following algorithm is correct: Considering the sorting problem, we have a list of n integers A = (v1, v2, · . vn). We want to sort the array using insertion sort whose pseudo-code is as follows: note n := A.length denotes the size of the array, number of items. Algorithm 2 INSERTION-SORT(A) for i = 1 to n – 1 do j+i - 1 while A[j] > A[j+1] ^ j > 0 do swap (A[j], A[j + 1]) j+j – 1 end while end for
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