what else can we do with heaps? use the heap for sorting. heapsort!
TRANSCRIPT
![Page 1: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/1.jpg)
What else can we do with heaps?
Use the heap for sorting.
Heapsort!
![Page 2: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/2.jpg)
Basic Idea
• Given an unsorted array we use BuildHeap to convert it into a heap
• While(heap is not empty)– removeMin– The heap is one smaller but the array hasn't changed– Put the item just removed in the element just after the end of
the heap
• At conclusion the array is sorted
![Page 3: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/3.jpg)
HeapSortafter BuildHeap
1
5 2
5 6 3 9
11 19 7 12 23 22 68 14
87 43 27 35 99 42 77 71 33 67 89
size = 26
![Page 4: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/4.jpg)
HeapSort
1
5 2
5 6 3 9
11 19 7 12 23 22 68 14
87 43 27 35 99 42 77 71 33 67 89
size = 26removeMin
![Page 5: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/5.jpg)
HeapSort
2
5 3
5 6 22 9
11 19 7 12 23 89 68 14
87 43 27 35 99 42 77 71 33 67
size = 25removeMin = 1
Not in heap now
![Page 6: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/6.jpg)
HeapSort
2
5 3
5 6 22 9
11 19 7 12 23 89 68 14
87 43 27 35 99 42 77 71 33 67 1
size = 25
heap is 1 element smaller, smallest element is at end of array
![Page 7: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/7.jpg)
HeapSort
2
5 3
5 6 22 9
11 19 7 12 23 89 68 14
87 43 27 35 99 42 77 71 33 67 1
size = 25
Now do it again!
![Page 8: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/8.jpg)
HeapSort
3
5 9
5 6 22 14
11 19 7 12 23 89 68 67
87 43 27 35 99 42 77 71 33 2 1
size = 24
![Page 9: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/9.jpg)
HeapSort
5
5 9
11 6 22 14
33 19 7 12 23 89 68 67
87 43 27 35 99 42 77 71 3 2 1
size = 23
![Page 10: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/10.jpg)
HeapSort
5
6 9
11 7 22 14
33 19 42 12 23 89 68 67
87 43 27 35 99 71 77 5 3 2 1
size = 22
![Page 11: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/11.jpg)
HeapSort
6
7 9
11 7 22 14
33 19 42 12 23 89 68 67
87 43 27 35 99 71 5 5 3 2 1
size = 21
![Page 12: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/12.jpg)
HeapSort
7
7 9
11 12 22 14
33 19 42 71 23 89 68 67
87 43 27 35 99 6 5 5 3 2 1
size = 20
![Page 13: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/13.jpg)
HeapSort
7
11 9
19 12 22 14
33 27 42 71 23 89 68 67
87 43 99 35 7 6 5 5 3 2 1
size = 19
![Page 14: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/14.jpg)
HeapSort
9
11 14
19 12 22 35
33 27 42 71 23 89 68 67
87 43 99 7 7 6 5 5 3 2 1
size = 18
![Page 15: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/15.jpg)
HeapSort
11
12 14
19 42 22 35
33 27 99 71 23 89 68 67
87 43 9 7 7 6 5 5 3 2 1
size = 17
![Page 16: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/16.jpg)
HeapSort
12
19 14
27 42 22 35
33 43 99 71 23 89 68 67
87 11 9 7 7 6 5 5 3 2 1
size = 16
![Page 17: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/17.jpg)
HeapSort
14
19 22
27 42 23 35
33 43 99 71 87 89 68 67
12 11 9 7 7 6 5 5 3 2 1
size = 15
![Page 18: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/18.jpg)
HeapSort
19
27 22
33 42 23 35
67 43 99 71 87 89 68 14
12 11 9 7 7 6 5 5 3 2 1
size = 14
![Page 19: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/19.jpg)
HeapSort
22
27 23
33 42 68 35
67 43 99 71 87 89 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 13
![Page 20: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/20.jpg)
HeapSort
23
27 35
33 42 68 89
67 43 99 71 87 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 12
![Page 21: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/21.jpg)
HeapSort
27
33 35
43 42 68 89
67 87 99 71 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 11
![Page 22: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/22.jpg)
HeapSort
33
42 35
43 71 68 89
67 87 99 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 10
![Page 23: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/23.jpg)
HeapSort
35
42 68
43 71 99 89
67 87 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 9
![Page 24: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/24.jpg)
HeapSort
42
43 68
67 71 99 89
87 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 8
![Page 25: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/25.jpg)
HeapSort
43
67 68
87 71 99 89
42 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 7
![Page 26: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/26.jpg)
HeapSort
67
71 68
87 89 99 43
42 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 6
![Page 27: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/27.jpg)
HeapSort
68
71 99
87 89 67 43
42 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 5
![Page 28: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/28.jpg)
HeapSort
71
87 99
89 68 67 43
42 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 4
![Page 29: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/29.jpg)
HeapSort
87
89 99
71 68 67 43
42 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 3
![Page 30: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/30.jpg)
HeapSort
89
99 87
71 68 67 43
42 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 2
![Page 31: What else can we do with heaps? Use the heap for sorting. Heapsort!](https://reader031.vdocuments.mx/reader031/viewer/2022032200/56649c9c5503460f9495b68f/html5/thumbnails/31.jpg)
HeapSort
99
89 87
71 68 67 43
42 35 33 27 23 22 19 14
12 11 9 7 7 6 5 5 3 2 1
size = 1