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| 1 | +class DualPivotQuickSort: |
| 2 | + def sort(self, array): |
| 3 | + if len(array) <= 1: |
| 4 | + return array |
| 5 | + |
| 6 | + self.dual_pivot_quick_sort(array, 0, len(array) - 1) |
| 7 | + return array |
| 8 | + |
| 9 | + def dual_pivot_quick_sort(self, array, left, right): |
| 10 | + if left < right: |
| 11 | + pivots = self.partition(array, left, right) |
| 12 | + |
| 13 | + self.dual_pivot_quick_sort(array, left, pivots[0] - 1) |
| 14 | + self.dual_pivot_quick_sort(array, pivots[0] + 1, pivots[1] - 1) |
| 15 | + self.dual_pivot_quick_sort(array, pivots[1] + 1, right) |
| 16 | + |
| 17 | + def partition(self, array, left, right): |
| 18 | + if array[left] > array[right]: |
| 19 | + array[left], array[right] = array[right], array[left] |
| 20 | + |
| 21 | + pivot1 = array[left] |
| 22 | + pivot2 = array[right] |
| 23 | + |
| 24 | + pivot1_end = left + 1 |
| 25 | + low = left + 1 |
| 26 | + high = right - 1 |
| 27 | + |
| 28 | + while low <= high: |
| 29 | + if array[low] < pivot1: |
| 30 | + array[low], array[pivot1_end] = array[pivot1_end], array[low] |
| 31 | + pivot1_end += 1 |
| 32 | + elif array[low] >= pivot2: |
| 33 | + while low < high and array[high] > pivot2: |
| 34 | + high -= 1 |
| 35 | + array[low], array[high] = array[high], array[low] |
| 36 | + high -= 1 |
| 37 | + |
| 38 | + if array[low] < pivot1: |
| 39 | + array[low], array[pivot1_end] = array[pivot1_end], array[low] |
| 40 | + pivot1_end += 1 |
| 41 | + low += 1 |
| 42 | + |
| 43 | + pivot1_end -= 1 |
| 44 | + high += 1 |
| 45 | + |
| 46 | + array[left], array[pivot1_end] = array[pivot1_end], array[left] |
| 47 | + array[right], array[high] = array[high], array[right] |
| 48 | + |
| 49 | + return low, high |
| 50 | + |
| 51 | +# Example usage |
| 52 | +if __name__ == "__main__": |
| 53 | + sorter = DualPivotQuickSort() |
| 54 | + sample_array = [3, 7, 8, 5, 2, 1, 9, 5, 4] |
| 55 | + sorted_array = sorter.sort(sample_array) |
| 56 | + print("Sorted array:", sorted_array) |
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