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Merge Sort

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March 05, 2013
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Merge Sort

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KuoE0

March 05, 2013
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Transcript

  1. Merge Sort ֲࢸݢʢKuoE0ʣ [email protected] 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