排序算法代码实现

发布时间 2023-03-29 09:14:09作者: feifei102

1、插入排序

 

 

 

 

 

 

#include<iostream>
#include<vector>

using namespace std;

void InsertSort(vector<int>& vec) {
    for (int i = 0; i < vec.size()-1; i++) {
        int end = i;//记录有序序列最后一个元素下标
        int index = vec[i + 1];//本轮要插入的元素
        while (end >= 0) {//每轮最多查找end次
            if (index < vec[end]) {//小于,前移
                vec[end + 1] = vec[end];
                end--;
            }
            else break;//不小于,不动
        }
        vec[end + 1] = index;
    }
}

int main() {
    vector<int> vec;
    int num = 0;
    while (cin >> num) {
        vec.push_back(num);
        if (getchar() == '\n') break;
    }
    int left = 0, right = vec.size() - 1;
    InsertSort(vec);
    for (int i = 0; i < vec.size(); i++) {
        cout << vec[i] << " ";
    }
}

 

快排

双指针法:

#include<iostream>
#include<vector>

using namespace std;

void QuickSort(vector<int>& vec, int left, int right) {
    if (left >= right) return;
    int index = left;//标记选定值
    int left1 = left, right1 = right;
    while (left1 < right1) {
        //选定最左的数据为标准值,则right先走,选定最右的数据作为基准值,则需要left先走
        //右边大于选定值,不需要移动
        while (vec[right1] >= vec[index] && left1 < right1) {
            right1--;
        }
        //用的是while,不满足时跳出
        //左边小于选定值,不需要移动
        while(vec[left1] <= vec[index] && left1 < right1) {
            left1++;
        }
        swap(vec[left1], vec[right1]);
    }
    //把选定值移动到中间
    swap(vec[index], vec[right1]);
    index = right1;
    QuickSort(vec, left, index - 1);
    QuickSort(vec, index + 1, right);
}

int main() {
    vector<int> vec;
    int num = 0;
    while (cin >> num) {
        vec.push_back(num);
        if (getchar() == '\n') break;
    }
    int left = 0, right = vec.size() - 1;
    QuickSort(vec, left, right);
    for (int i = 0; i < vec.size(); i++) {
        cout << vec[i] << " ";
    }
}

时间复杂度:O(nlogn),类似于一个二叉树,二叉树高度为logn,每一层约有N个数

空间复杂度:O(1)