DS - Quick Sort
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Quick sort is an internal sorting technique that uses the divide and conquer approach. It works by picking a pivot element and partitioning the array so that elements less than the pivot are moved left and greater elements right. The pivot is placed in its correct position, then quick sort is recursively applied to the left and right subarrays. It has a best case of O(n log n) and average case of O(n log n), but worst case of O(n^2).
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![Working principle
• The quick sort works by partitioning the array
A[1],A[2],…A[n] by picking some value in the
array as a pivot element.
• Pivot element is used to rearrange the
elements in the array](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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A review on techniques and modelling methodologies used for checking electrom...
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Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
this notes have been created
by Eric36 at nyamata ttc
after readings
pe book for y2sme .
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...
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DS - Quick Sort
- 1. Quick sort •Internal sorting technique •It is also called partitioning sort which uses divide and conquer technique
- 2. Working principle • The quick sort works by partitioning the array A[1],A[2],…A[n] by picking some value in the array as a pivot element. • Pivot element is used to rearrange the elements in the array
- 3. • Pivot can be the first element of an array and the rest of the elements are moved so that the elements on left side of the pivot are lesser than the pivot • Whereas those on the right side are greater than the pivot • Now the pivot element is placed in its correct position • Now the quick sort procedure is applied for left array and right array in a recursive manner.
- 4. Steps to implement quick sort • The value of i is incremented till a[i]<= Pivot • The value of j is decremented till a[j]> Pivot • This process is repeated until i<j
- 5. If a[i]> pivot and a[j]<pivot and also if i<j then swap a[i] and a[j] If i>j then swap a[j] and a[pivot]
- 6. #include<stdio.h> void quicksort(int number[25],int first,int last) { int i, j, pivot, temp; if(first<last) { pivot=first; i=first; j=last;
- 10. void main() { int i, count, number[25]; printf("How many elements are u going to enter?: "); scanf("%d",&count); printf("Enter %d elements: ", count); for(i=0;i<count;i++) scanf("%d",&number[i]);
- 11. quicksort(number,0,count-1); printf("Order of Sorted elements: "); for(i=0;i<count;i++) printf(" %d",number[i]); }
- 12. example Sort the following values using Quick Sort and estimate its time and space complexity: 65 70 75 80 85 60 55 50 45
- 13. Analysis of quick sort • Worst case analysis = O[N2 ] • Best case analysis = O[N log N] • Average case analysis = O[N log N]
- 14. advantages • Faster than other O(N log N) • Better cache performance & high speed
- 16. disadvantages • Requires more memory space