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1) The quicksort algorithm originated through C.A.R. Hoare. It's best average behaviour in terms of complexity
2) In a recursive manner until all the sublists are empty, at which point the list is sorted.
3) Partitioning can be effected concurrently, scanning the list left to right and right to left, interchanging elements in the wrong parts of the list.
4) The partitioning element is then placed between the resultant sublists.
| QUICKSORT (A, t, s) 1:If t < s 2: q =partition (A, t, s) 3: Quicksort [A, t, (q - 1) ] 4: Quicksort [A, (q + 1), s] 1: x = A[ s ] 2: i = (t - 1) 3:for j = t to (r - 1) 4:if a[ j ] <= x 5: i = (i + 1) 6: exchange A[ i ] with A[ j ] 7: exchange A[i + 1] with A[ s ] 8 return (i + 1) |
Given a list of elements,
1) Take a partitioning element, and
2) Create a (sub) list,
- Such that all elements to the left of the partitioning element are less than it.
- And all elements to the right of it are greater than it.
3) Now repeat this partitioning effort on each of these two sublist.
| If anything to be partitioned THEN choose a pivot REPEAT scan fromlefttoright until we find an element -pivot: i point to it -pivot: loc points to it THEN exchange pivotand loc-th element UNTIL i > loc exchange pivt and loc element partition from loc-th to rth elements// i.e. quicksort loc-th to rt |
1) Quicksort is a divide and conquer algorithm
2) A divide and conquer algorithm is one which divides that problem into smallest problems where this works exactly the same procedure.
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