QuickSort

참고 : http://www.algolist.net/Algorithms/Sorting/Quicksort

Why does it work?

On the partition step algorithm divides the array into two parts and every element a from the left part is less or equal than every element b from the right part. Also a and b satisfy a ≤ pivot ≤ binequality. After completion of the recursion calls both of the parts become sorted and, taking into account arguments stated above, the whole array is sorted.

Complexity analysis

On the average quicksort has O(n log n) complexity, but strong proof of this fact is not trivial and not presented here. Still, you can find the proof in [1]. In worst case, quicksort runs O(n²) time, but on the most "practical" data it works just fine and outperforms other O(n log n) sorting algorithms.

Java

int partition(int arr[], int left, int right)

{

      int i = left, j = right;

      int tmp;

      int pivot = arr[(left + right) / 2];

     

      while (i <= j) {

            while (arr[i] < pivot)

                  i++;

            while (arr[j] > pivot)

                  j--;

            if (i <= j) {

                  tmp = arr[i];

                  arr[i] = arr[j];

                  arr[j] = tmp;

                  i++;

                  j--;

            }

      };

     

      return i;

}

 

void quickSort(int arr[], int left, int right) {

      int index = partition(arr, left, right);

      if (left < index - 1)

            quickSort(arr, left, index - 1);

      if (index < right)

            quickSort(arr, index, right);

}

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