Merge Sort

Transcript

1. Merge Sort ֲࢸݢʢKuoE0ʣ KuoE0.tw@gmail.com KuoE0.ch
2. Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) http://creativecommons.org/licenses/by-sa/3.0/ Latest update: Mar 6, 2013
3. Traditional Merge Sort
4. Algorithm ࠾༻ divide & conquer ࡦུ
5. Divide ሡᙛલᏐྻሣ൒੾ׂᬇ᫮ਐߦ ௚౸ᷮႫҰݸݩૉ
6. 2 9 4 3 8 7 5 1 6 2 9 4 3 8 7 5 1 6 2 9 4 3 8 7 5 1 6 2 9 4 8 3 5 7 6 1 9 2
7. Conquer 1. ར༻ၷݸࢦඪࢦ޲ၷݸ༗ংᏐྻ A ᢛ B 2. ൺֱࢦඪࢦ޲తᏐ值 3. ሡֱখతᏐ值์ೖ৽తᏐྻ Cɼฒሡ֘ࢦඪ ࢦ޲ԼҰᏐ值 4. ௚౸๭Ұࢦඪࢦ޲Ꮠྻ݁ඌɼሡ㠥ҰᏐྻႫ ᰨతᏐ值์౎ೖᏐྻ C
8. Merge Two Sequence 9 8 7 6 5 4 3 2 1
9. Merge Two Sequence 9 8 7 6 5 4 3 2 1
10. Merge Two Sequence 9 8 7 6 5 4 3 2 1
11. Merge Two Sequence 9 8 7 6 5 4 3 2 1
12. Merge Two Sequence 9 8 7 6 5 4 3 2 1
13. Merge Two Sequence 9 8 7 6 5 4 3 2 1
14. Merge Two Sequence 9 8 7 6 5 4 3 2 1
15. Merge Two Sequence 9 8 7 6 5 4 3 2 1
16. Merge Two Sequence 9 8 7 6 5 4 3 2 1
17. Merge Two Sequence 9 8 7 6 5 4 3 2 1
18. 1 2 3 4 5 6 7 8 9 2 3 4 8 9 1 5 6 7 2 4 9 3 8 5 7 1 6 2 9 4 8 3 5 7 6 1 9 2
19. Natural Merge Sort
20. Key Point ར༻Ꮠྻதత༗ংᏐྻยஈɼҎݮগ੾ׂ࣍Ꮠʂ
21. ༗ংᏐྻยஈ 1 3 4 2 7 9 8 0 5 1 3 4 2 7 9 8 0 5
22. How to Divide 1 3 4 2 7 9 8 0 5 A B
23. How to Divide 1 3 4 2 7 9 8 0 5 A B 1
24. How to Divide 1 3 4 2 7 9 8 0 5 A B 1
25. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3
26. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3
27. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4
28. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4
29. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4
30. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2
31. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2
32. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7
33. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7
34. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9
35. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9
36. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9
37. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8
38. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8
39. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8
40. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0
41. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0
42. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0 5
43. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0 5
44. How to Divide 1 3 4 2 7 9 8 0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0 5 0 5
45. The merge operation is as same as traditional merge sort.
46. End