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Quick Sort

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March 15, 2013
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KuoE0

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Transcript

  1. Quick Sort ֲࢸݢʢKuoE0ʣ [email protected] KuoE0.ch

  2. Latest update: Mar 15, 2013 Attribution-ShareAlike 3.0 Unported (CC BY-SA

    3.0) http://creativecommons.org/licenses/by-sa/3.0/

  3. Algorithm ࠾༻ divide & conquer ࡦུ

  4. Divide ኺᏐྻத௅ग़Ұݸݩૉ࡞ҝ pivotɼར ༻ pivot ሡݪᏐྻ෼ҝၷݸࢠᏐྻɿ • ॴ༗ݩૉখԙ pivot తᏐྻ

    A • ॴ༗ݩૉେԙ pivot తݩૉతᏐྻ B • ౳ԙ pivot తݩૉՄ์ஔࡏ೚Ұݸத

  5. 2 9 4 3 8 7 5 1 6

  6. 2 9 4 3 8 7 5 1 6 2

    7 4 3 5 1 6 9 8

  7. 9 8 2 4 3 5 1 6 2 9

    4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8

  8. 9 8 2 4 3 5 1 6 2 4

    5 1 6 2 9 4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8 3

  9. 4 5 6 2 1 9 8 2 4 3

    5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8 3

  10. 4 5 6 2 1 2 9 8 2 4

    3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8 3 1

  11. 4 5 6 2 1 2 9 8 2 4

    3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1

  12. 4 5 6 5 6 2 1 2 9 8

    2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1 4

  13. 5 6 4 5 6 5 6 2 1 2

    9 8 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1 4

  14. 5 6 5 4 5 6 5 6 2 1

    2 9 8 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1 4 6

  15. 5 6 5 4 5 6 5 6 2 1

    2 9 8 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 5 2 7 4 3 5 1 6 9 8 3 1 4 6

  16. 5 6 5 4 5 6 5 6 2 1

    2 9 8 9 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 5 2 7 4 3 5 1 6 9 8 3 1 4 6 8

  17. 5 6 5 4 5 6 5 6 2 1

    2 9 8 9 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 9 2 5 2 7 4 3 5 1 6 9 8 3 1 4 6 8

  18. Conquer ༝ԙࢠᏐྻቮඃ pivot ෼ҝၷஈɼҰஈ খԙ౳ԙ pivot తᏐྻ Aɼ㠥Ұஈେԙ ౳ԙ pivot

    తᏐྻ Bɻ

  19. Conquer ༝ԙࢠᏐྻቮඃ pivot ෼ҝၷஈɼҰஈ খԙ౳ԙ pivot తᏐྻ Aɼ㠥Ұஈେԙ ౳ԙ pivot

    తᏐྻ Bɻ A B C

  20. 2 2

  21. 2 2 1

  22. 2 2 1

  23. 1 2 1 2 2 5 2 5 1 6

  24. 1 2 1 2 2 5 2 5 1 6

  25. 5 6 1 2 1 2 5 6 2 5

    2 5 1 6 4

  26. 5 6 1 2 1 2 5 6 2 5

    2 5 1 6 4

  27. 4 5 6 5 6 1 2 1 2 4

    5 6 5 6 2 5 2 5 1 6 4 3

  28. 4 5 6 5 6 1 2 1 2 4

    5 6 5 6 2 5 2 5 1 6 4 3

  29. 1 2 3 4 5 6 4 5 6 5

    6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 1 6 4 3 8

  30. 1 2 3 4 5 6 4 5 6 5

    6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 1 6 4 3 8

  31. 8 9 1 2 3 4 5 6 8 9

    4 5 6 5 6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 7 1 6 4 3 8

  32. 8 9 1 2 3 4 5 6 8 9

    4 5 6 5 6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 7 1 6 4 3 8

  33. 8 9 1 2 3 4 5 6 8 9

    4 5 6 5 6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 9 2 5 2 5 9 7 1 6 4 3 8

  34. 9 3 How to Divide 4 1 5 8 6

    7 2

  35. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  36. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  37. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  38. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  39. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  40. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  41. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  42. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  43. 9 3 How to Divide 4 1 5 8 6

    4 7 2

  44. 9 3 How to Divide 4 1 5 8 6

    4 7 2 4 1 3 2 5 8 7 9 6

  45. 5 6 7 8 9 3 2 1 4 How

    to Conquer

  46. 5 6 7 8 9 3 2 1 4 How

    to Conquer

  47. 5 6 7 8 9 3 2 1 4 How

    to Conquer

  48. 5 6 7 8 9 3 2 1 4 How

    to Conquer

  49. void quickSort( int L, int R ) { if (

    R - L <= 1 ) return; int pivot = N[ R - 1 ], p = L; for ( int i = L; i < R - 1; ++i ) { if ( N[ i ] <= pivot ) { swap( N[ i ], N[ p ] ); ++p; } } swap( N[ R - 1 ], N[ p ] ); quickSort( L, p ); quickSort( p + 1, R ); } In-place Version

  50. 9 4 3 6 5 1 8 7 How to

    Divide 2

  51. 9 4 3 6 5 1 8 7 How to

    Divide 2 6

  52. 9 4 3 6 5 1 8 7 How to

    Divide 2 2 6

  53. 9 4 3 6 5 1 8 7 How to

    Divide 2 2 6

  54. 9 4 3 6 5 1 8 7 How to

    Divide 2 2 2 6

  55. 9 9 4 3 6 5 1 8 7 How

    to Divide 2 2 2 6

  56. 9 9 4 4 3 6 5 1 8 7

    How to Divide 2 2 2 9 6

  57. 9 9 4 4 3 6 5 1 8 7

    How to Divide 2 2 2 9 6

  58. 9 9 4 4 3 6 5 1 8 7

    How to Divide 2 2 2 9 4 6

  59. 9 9 4 4 3 3 6 5 1 8

    7 How to Divide 2 2 2 9 4 6

  60. 9 9 4 4 3 3 6 5 1 8

    7 How to Divide 2 2 2 9 4 6

  61. 9 9 4 4 3 3 6 5 1 8

    7 How to Divide 2 2 2 9 4 3 6

  62. 9 9 4 4 3 3 6 5 1 8

    7 8 How to Divide 2 2 2 9 4 3 6

  63. 9 9 4 4 3 3 6 5 1 8

    7 8 8 How to Divide 2 2 2 9 4 3 6

  64. 9 9 4 4 3 3 6 5 1 8

    7 8 7 8 How to Divide 2 2 2 9 4 3 6

  65. 9 9 4 4 3 3 6 5 1 8

    7 8 7 8 7 How to Divide 2 2 2 9 4 3 6

  66. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 9 4 3 6

  67. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 9 4 3 6

  68. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 6

  69. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 6

  70. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 6

  71. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 1 6

  72. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 1 6

  73. 9 9 4 4 3 3 6 5 1 5

    8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 1 6 2 5 4 3 1 8 9 7

  74. 6 How to Conquer 1 4 2 3 5 8

    7 9 1 4 2 3 5 8 7 9

  75. 6 How to Conquer 1 4 2 3 5 8

    7 9 1 4 2 3 5 8 7 9

  76. End