Embed Size (px)
DESCRIPTION
Array index. 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. Insertion Sort. Iteration i. Repeatedly swap element i with the one to its left if smaller. Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order. Value. 2.78. 7.42. 0.56. 1.12. 1.17. - PowerPoint PPT Presentation
Citation preview
1
0.56 1.12 1.17 0.322.78 7.42 3.14 7.71Value 6.21 4.42
Iteration 0: step 0.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
2
0.56 1.12 1.17 0.322.78 7.42 3.14 7.71Value 6.21 4.42
Iteration 1: step 0.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
3
0.56 1.12 1.17 0.322.78 7.42 3.14 7.71Value 6.21 4.42
Iteration 2: step 0.
Insertion Sort
0.56 7.42
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
4
7.42 1.12 1.17 0.322.78 0.56 3.14 7.71Value 6.21 4.42
Iteration 2: step 1.
Insertion Sort
0.56 2.78
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
5
7.42 1.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 2: step 2.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
6
7.42 1.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 3: step 0.
Insertion Sort
1.12 7.42
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
7
7.421.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 3: step 1.
Insertion Sort
1.12 2.78
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
8
7.421.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 3: step 2.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
9
7.421.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 4: step 0.
Insertion Sort
1.17 7.42
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
10
7.421.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
2 3 4 50 1 8 9Array index 6 7
Iteration 4: step 1.
Insertion Sort
1.17 2.78
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
11
7.421.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 4: step 2.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
12
7.421.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 5: step 0.
Insertion Sort
0.32 7.42
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
13
7.421.12 1.17 0.322.780.56 3.14 7.71Value 6.21 4.42
Iteration 5: step 1.
Insertion Sort
0.32 2.78
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
14
7.421.12 1.17 0.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 5: step 2.
Insertion Sort
0.32 1.17
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
15
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 5: step 3.
Insertion Sort
0.32 1.12
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
16
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 5: step 4.
Insertion Sort
0.32 0.56
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
17
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 5: step 5.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
18
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 6: step 0.
6.21 7.42
2 3 4 50 1 8 9Array index 6 7
Insertion Sort
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
19
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 6: step 1.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
20
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 7: step 0.
Insertion Sort
4.42 7.42
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
21
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.21 4.42
Iteration 7: step 1.
Insertion Sort
4.42 6.21
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
22
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.214.42
Iteration 7: step 2.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
23
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.214.42
Iteration 8: step 0.
Insertion Sort
3.14 7.42
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
24
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.214.42
Iteration 8: step 1.
Insertion Sort
3.14 6.21
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
25
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.214.42
Iteration 8: step 2.
Insertion Sort
3.14 4.42
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
26
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.214.42
Iteration 8: step 3.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
27
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.214.42
Iteration 9: step 0.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
28
7.421.12 1.170.32 2.780.56 3.14 7.71Value 6.214.42
Iteration 10: DONE.
Insertion Sort
2 3 4 50 1 8 9Array index 6 7
Iteration i. Repeatedly swap element i with the one to its left if smaller.
Property. After ith iteration, a[0] through a[i] contain first i+1 elements in ascending order.
![Lecture 03[Insertion Sort]](https://img.pdfslide.us/doc/110x75/577ccfc41a28ab9e789086fc/lecture-03insertion-sort.jpg)
