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. www Algorithm 2 INSERTION-SORT(A) for i=1 to n - 1 do In [1]: def insertSort (A): 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 The Algorithm sorts the elements in the list A Input constraints: A is not empty for i in range(1, len (A)): j=i-1 while A[j]>A[j+1] and j>=0: A[j],A[j+1] = A[j+1],A[j] j -= 1 In [2]: A = [3,1,11,9,10,2] insertSort (A) print (A) [1, 2, 3, 9, 10, 11]
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. www Algorithm 2 INSERTION-SORT(A) for i=1 to n - 1 do In [1]: def insertSort (A): 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 The Algorithm sorts the elements in the list A Input constraints: A is not empty for i in range(1, len (A)): j=i-1 while A[j]>A[j+1] and j>=0: A[j],A[j+1] = A[j+1],A[j] j -= 1 In [2]: A = [3,1,11,9,10,2] insertSort (A) print (A) [1, 2, 3, 9, 10, 11]
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![Prove that the following algorithm is correct:
Considering the sorting problem, we have a list of n integers A :
want to sort the array using insertion sort whose pseudo-code
n := A.length denotes the size of the array, number of items.
(v1, v2, · · · Vn). We
as follows: note
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
end while
end for
In [1]: def insertSort(A):
The Algorithm sorts the elements in the list
Input constraints: A is not empty
for i in range(1,len(A)):
j = i-1
while A[j]>A[j+1] and j>=0:
A[j],A[j+1] = A[j+1],A[j]
j -= 1
In [2]: A = [3,1,11,9,10,2]
insertSort(A)
print(A)
[1, 2, 3, 9, 10, 11]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2d457e9-dcf2-4a53-929b-b323573c678c%2F495be9f2-d243-42f4-aece-f8e7465321a0%2F1qs688k_processed.png&w=3840&q=75)
Transcribed Image Text:Prove that the following algorithm is correct:
Considering the sorting problem, we have a list of n integers A :
want to sort the array using insertion sort whose pseudo-code
n := A.length denotes the size of the array, number of items.
(v1, v2, · · · Vn). We
as follows: note
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
end while
end for
In [1]: def insertSort(A):
The Algorithm sorts the elements in the list
Input constraints: A is not empty
for i in range(1,len(A)):
j = i-1
while A[j]>A[j+1] and j>=0:
A[j],A[j+1] = A[j+1],A[j]
j -= 1
In [2]: A = [3,1,11,9,10,2]
insertSort(A)
print(A)
[1, 2, 3, 9, 10, 11]
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