with n=6 and A=(3,5,4,1,3,2). Draw only the right half of the corresponding walkthrough

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Author:James Kurose, Keith Ross
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with n=6 and A=(3,5,4,1,3,2). Draw only the right half of the corresponding walkthrough as shown in P.155, showing only the list A 

Walkthrough with n =
5 and A
: (3.1, 5.7, 4.3, 1.9, 3.1)
//
A[1] = 3.1,
A2] — 5.7, А[3] %3 4.3, А(4] — 1.9, Al5] — 3.1
k
min
index
A[j]
A
3.1
1
2
5.7
3.1
5.7
4.3
1.9
3.1
4.3
1.9
1.9
4
3.1
1.9
5.7
4.3
3.1
3.1
2
5.7
2
3
4.3
4.3
4
3.1
3.1
4
5
3.1
1.9
3.1
4.3
5.7
3.1
3
4.3
4
5.7
5
3.1
3.1
1.9
3.1
3.1
5.7
4.3
-
4
5.7
4
4.3
4.3
1.9
3.1
3.1
4.3
5.7
We can prove that
“A[1] <= A[2] <= ... <= A[k] <= A[k+1], A[k+ 2],..., A[n]"
is a loop invariant of the for-k loop.
// using MI on k
// But is it efficient?
That will confirm that MinSort is correct.
Transcribed Image Text:Walkthrough with n = 5 and A : (3.1, 5.7, 4.3, 1.9, 3.1) // A[1] = 3.1, A2] — 5.7, А[3] %3 4.3, А(4] — 1.9, Al5] — 3.1 k min index A[j] A 3.1 1 2 5.7 3.1 5.7 4.3 1.9 3.1 4.3 1.9 1.9 4 3.1 1.9 5.7 4.3 3.1 3.1 2 5.7 2 3 4.3 4.3 4 3.1 3.1 4 5 3.1 1.9 3.1 4.3 5.7 3.1 3 4.3 4 5.7 5 3.1 3.1 1.9 3.1 3.1 5.7 4.3 - 4 5.7 4 4.3 4.3 1.9 3.1 3.1 4.3 5.7 We can prove that “A[1] <= A[2] <= ... <= A[k] <= A[k+1], A[k+ 2],..., A[n]" is a loop invariant of the for-k loop. // using MI on k // But is it efficient? That will confirm that MinSort is correct.
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