快速排序(Quick_Sort)

发布于:2024-06-16 ⋅ 阅读:(16) ⋅ 点赞:(0)

快速排序:

每次排序一个元素,每次使他的左边都比他小,右边都比他大;

和归并排序相似;

递归函数:

void Quick_sort(int *arr,int low,int hight)
{
    if(low < hight)
    {
        int x = Quick(arr,low,hight);
        Quick_sort(arr,low,x-1);
        Quick_sort(arr,x+1,hight);
    }
}

先排序low位置的元素

然后返回他排序后的位置

接着排序他左边和右边

递归直到只剩一个元素

排序函数;

int Quick(int *arr,int low,int hight)
{
    int t;
    t = arr[low];
    while(low < hight)
    {
        while(low < hight && arr[hight] >= t)
        {
            --hight;
        }
        arr[low] = arr[hight];
        while(low < hight && arr[low] <= t)
        {
            ++low;
        }
        arr[hight] = arr[low];
    }
    arr[low] = t;
    return low;
}

先用一个变量t存储元素,从左右两端循环,因为排序的元素是最左端元素,所以应该先从右侧开始,如果遇到了小于t的元素,就将左侧覆盖为他,接着从左端开始,如果遇到比t大的元素就将他覆盖到右边,直到low == hight;这个时候的位置就是左侧数都小于t,右侧数都大于t,将t插入后返回即可

c++代码如下:

#include <bits/stdc++.h>

using namespace std;

void swap(int &a,int &b)
{
    int t = a;
    a = b;
    b = t;
}

int Quick(int *arr,int low,int hight)
{
    int t;
    t = arr[low];
    while(low < hight)
    {
        while(low < hight && arr[hight] >= t)
        {
            --hight;
        }
        arr[low] = arr[hight];
        while(low < hight && arr[low] <= t)
        {
            ++low;
        }
        arr[hight] = arr[low];
    }
    arr[low] = t;
    return low;
}

void Quick_sort(int *arr,int low,int hight)
{
    if(low < hight)
    {
        int x = Quick(arr,low,hight);
        Quick_sort(arr,low,x-1);
        Quick_sort(arr,x+1,hight);
    }
}

void print_arr(int *arr,int size)
{
    for(int i = 0;i < size;++i)
    {
        cout << arr[i];
        if(i != size-1)
        {
            cout << " ";
        }
    }
}

int main()
{
    int n;
    cin >> n;
    int arr[n];
    for(int i = 0;i < n;++i)
    {
        cin >> arr[i];
    }
    Selection_sort(arr,n);
    print_arr(arr,n);
    cout << endl;
}