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  • 用非递归、不用栈的方法,实现原位(in-place)的快速排序

    大体思路是修改Partition方法将原本枢数的调整放到方法结束后去做。
    这样因为数组右侧第一个大于当前枢数的位置就应该是未划分的子数组的边界。
    然后继续进行Partition调整。
    这种写法照比递归的写法多出一个向右寻找边界的过程,该过程的平均时间复杂度为Θ(nlogn)。

    这样快速排序的算法平均复杂度乘以了常数项2,而空间复杂度缩小到Ο(1)。

            private static void QSort(int[] array)
            {
                int leftLow, leftHeight, rightLow, rightHeight;
                int tempLow, tempHeight, key, temp;
                leftLow = 0;
                leftHeight = leftLow; 
                rightLow = array.Length - 1; 
                rightHeight = array.Length - 1; 
                tempLow = -1; tempHeight = -1; key = -1;
    
                while (rightHeight > leftLow)
                {
    
                    while (leftHeight + 1 < rightLow)
                    {
    
                        key = leftHeight;
                        tempLow = leftHeight + 1;
                        tempHeight = rightLow;
    
                        while (tempLow < tempHeight)
                        {
                            while (tempLow < rightHeight && array[tempLow] < array[key])
                            {
                                tempLow++;
                            }
                            while (leftHeight < tempHeight && array[key] <= array[tempHeight])
                            {
                                tempHeight--;
                            }
                            if (leftLow < tempHeight && tempLow < rightHeight && tempLow < tempHeight)
                            {
                                temp = array[tempLow];
                                array[tempLow] = array[tempHeight];
                                array[tempHeight] = temp;
                            }
                        }
                        if (rightHeight == tempHeight && leftHeight ==leftLow )
                        {
                            temp = array[rightLow];
                            array[rightLow] = array[leftHeight];
                            array[leftHeight] = temp;
                            rightHeight--;
                            rightLow--;
                            continue;
                        }
                        rightLow = tempHeight;
                        if (key == tempHeight)
                        {
                            break;
                        }
                        else if (key < tempHeight && tempLow > tempHeight)
                        {
                            leftHeight++;
                        }
    
                    }
    
                    if (leftHeight != leftLow)
                    {
                        if (leftHeight < rightLow)
                        {
                            if (array[leftHeight] < array[rightLow])
                            {
                                temp = leftHeight;
                            }
                            else
                            {
                                temp = rightLow;
                                rightLow++;
                                leftHeight++;
                            }
                        }
                        else
                        {
                            temp = rightLow;
                            rightLow++;
                        }
    
                        key = array[temp];
                        for (int i = temp; i > leftLow; i--)
                        {
                            array[i] = array[i - 1];
                        }
                        array[leftLow] = key;
                        leftLow++;
    
                        while (rightLow <= rightHeight && array[rightLow] < array[leftHeight])
                        {
                            rightLow++;
                        }
                        if (rightLow > rightHeight)
                        {
                            rightLow--;
                        }
    
                    }
    
                    else
                    {
                        rightLow = rightHeight;
                        leftLow++;
                        leftHeight++;
                    }
             
                }
                if (array[rightHeight] < array[rightHeight - 1])
                {
                    temp = array[rightHeight];
                    array[rightHeight] = array[rightHeight - 1];
                    array[rightHeight - 1] = temp;
                }          
            }
    

      

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  • 原文地址:https://www.cnblogs.com/fastcam/p/5919431.html
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