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3.4 selection sort

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Data Structure-Selection Sort

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3.4 selection sort

  1. 1. Selection Sort
  2. 2. Selection Sort: Idea 1. We have two group of items:  sorted group, and  unsorted group 1. Initially, all items are in the unsorted group. The sorted group is empty.  We assume that items in the unsorted group unsorted.  We have to keep items in the sorted group sorted.
  3. 3. Selection Sort: Cont’d 1. Select the “best” (eg. smallest) item from the unsorted group, then put the “best” item at the end of the sorted group. 2. Repeat the process until the unsorted group becomes empty.
  4. 4. Selection Sort Example 35 65 30 60 20 scan 0-4, smallest 20 swap 35 and 20 20 65 30 60 35 scan 1-4, smallest 30 swap 65 and 30 20 30 65 60 35 scan 2-4, smallest 35 swap 65 and 35 Chapter 10: Sorting 4
  5. 5. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted
  6. 6. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted
  7. 7. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted
  8. 8. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted
  9. 9. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted
  10. 10. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted
  11. 11. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted
  12. 12. Selection Sort 5 1 3 4 6 2 Comparison Data Movement Sorted  Largest
  13. 13. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted
  14. 14. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted
  15. 15. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted
  16. 16. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted
  17. 17. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted
  18. 18. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted
  19. 19. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted
  20. 20. Selection Sort 5 1 3 4 2 6 Comparison Data Movement Sorted  Largest
  21. 21. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  22. 22. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  23. 23. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  24. 24. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  25. 25. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  26. 26. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  27. 27. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted  Largest
  28. 28. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  29. 29. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  30. 30. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  31. 31. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  32. 32. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  33. 33. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted  Largest
  34. 34. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  35. 35. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  36. 36. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  37. 37. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted
  38. 38. Selection Sort 2 1 3 4 5 6 Comparison Data Movement Sorted  Largest
  39. 39. Selection Sort 1 2 3 4 5 6 Comparison Data Movement Sorted
  40. 40. Selection Sort 1 2 3 4 5 6 Comparison Data Movement Sorted DONE!
  41. 41. 4240 2 1 3 3 4 0 -1 655843 40 2 1 43 3 4 0 -1 42 65583 40 2 1 43 3 4 0 -1 58 3 6542 40 2 1 43 3 65 0 -1 58 3 42 4 Selection Sort: Example
  42. 42. 4240 2 1 3 3 4 0 655843-1 42-1 2 1 3 3 4 0 65584340 42-1 2 1 3 3 4 655843400 42-1 2 1 0 3 4 655843403 Selection Sort: Example
  43. 43. 1 42-1 2 1 3 4 6558434030 42-1 0 3 4 6558434032 1 42-1 0 3 4 6558434032 1 420 3 4 6558434032-1 1 420 3 4 6558434032-1 Selection Sort: Example
  44. 44. Selection Sort: Analysis  Running time: − Worst case: O(N2 ) − Best case: O(N2 )

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