Aizaz comb sort

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1. COMB SORTING 2.  The basic idea is to eliminate turtles, or small values near the end of the list, Since in a bubble sort these slow the sorting down tremendously.…
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  • 1. COMB SORTING
  • 2.  The basic idea is to eliminate turtles, or small values near the end of the list, Since in a bubble sort these slow the sorting down tremendously. Rabbits, large values around the beginning of the list, do not pose a problem in bubble sort.
  • 3.  Instead of comparing adjacent elements, comb sort allows for a larger gap between elements.  This eliminates the number of required swaps.  We get small numbers at the end to reach beginning of the list.  In bubble sort, when any two elements are compared, they always have a gap (distance from each other) of 1.  The basic idea of comb sort is that the gap can be much more than 1
  • 4.  Rabbits & turtles: RABBITS are the elements with the large values located near the beginning while TURTLES are the elements with the small values located near the end of the list.  Gap size the distance b/w two elements  Shrink Factor usually taken 1.3
  • 5.  Begin with a gap size equal to n  Recalculate the gap size by dividing the previous gap size by a shrink factor  Iterate through the list, swapping elements  If the gap is currently 1 and no swap is occurred during this iteration, then the list is sorted.  Otherwise repeat.
  • 6. Unsorted list : 5 7 9 10 3 1 4 8 2 6
  • 7. 2 7 9 10 3 1 4 8 5 6 2 6 9 10 3 1 4 8 5 7
  • 8. 2 7 9 10 3 1 4 8 5 7 2 6 9 10 3 1 4 8 5 7 2 6 5 10 3 1 4 8 9 7 2 6 5 7 2 1 4 8 9 10
  • 9. 2 7 9 10 3 1 4 8 5 10 2 1 9 10 3 6 4 8 5 10 2 1 4 10 3 6 5 8 9 10 2 1 4 7 3 6 5 8 9 10 2 1 4 7 3 6 5 8 9 10 2 1 4 7 3 6 5 8 9 10
  • 10. 2 1 4 7 3 6 5 8 9 10 2 1 4 7 3 6 5 8 9 10 2 1 4 7 3 6 5 8 9 10 2 1 4 5 3 6 7 8 9 10 2 1 4 5 3 6 5 8 9 10 2 1 4 5 3 6 5 8 9 10 2 1 4 5 3 6 7 8 9 10
  • 11. 2 1 4 5 3 6 7 8 9 10 2 1 4 5 3 6 7 8 9 10 2 1 3 5 4 6 7 8 9 10 2 1 3 5 4 6 7 8 9 10 2 1 3 5 4 6 7 8 9 10 2 1 3 5 4 6 7 8 9 10 2 1 3 5 4 6 7 8 9 10 2 1 3 5 4 6 7 8 9 10
  • 12. 1 2 3 5 4 6 7 8 9 10 1 2 3 5 4 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 2 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10
  • 13. 1 2 3 4 5 6 7 8 9 10
  • 14. void combSort(int a[], int len) { int gap = len; bool swapped; do{ swapped = false; gap = newGap(gap); for(int i=0; i < len-gap; ++i){ if(a[i] > a[i+gap]){ swapped = true; swap(a[i], a[i+gap]); } } }while(gap > 1 || swapped); for(int i=0;i<len;i++) cout<<" "<<a[i]; }
  • 15.  http://xlinux.nist.gov/dads/HTML/combSort. html  http://en.wikipedia.org/wiki/Comb_sort
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