快速排序也采用了分治的思想:把原始的数组筛选成较小和较大的两个子数组,然后递归地排序两个子数组。
快速排序算法模板:
void quickSort(int[] nums, int left, int right) {
if (left >= right) {
return;
}
int i = left - 1, j = right + 1;
int x = nums[left];
while (i < j) {
while (nums[++i] < x);
while (nums[--j] > x);
if (i < j) {
int t = nums[i];
nums[i] = nums[j];
nums[j] = t;
}
}
quickSort(nums, left, j);
quickSort(nums, j + 1, right);
}
给定你一个长度为 n
的整数数列。
请你使用快速排序对这个数列按照从小到大进行排序。
并将排好序的数列按顺序输出。
输入格式
输入共两行,第一行包含整数 n。
第二行包含 n 个整数(所有整数均在 1∼10^9 范围内),表示整个数列。
输出格式
输出共一行,包含 n 个整数,表示排好序的数列。
数据范围
1≤n≤100000
输入样例:
5
3 1 2 4 5
输出样例:
1 2 3 4 5
N = int(input())
nums = list(map(int, input().split()))
def quick_sort(nums, left, right):
if left >= right:
return
i, j = left - 1, right + 1
x = nums[(left + right) >> 1]
while i < j:
while 1:
i += 1
if nums[i] >= x:
break
while 1:
j -= 1
if nums[j] <= x:
break
if i < j:
nums[i], nums[j] = nums[j], nums[i]
quick_sort(nums, left, j)
quick_sort(nums, j + 1, right)
quick_sort(nums, 0, N - 1)
print(' '.join(list(map(str, nums))))
import java.util.Scanner;
public class Main {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
int[] nums = new int[n];
for (int i = 0; i < n; ++i) {
nums[i] = sc.nextInt();
}
quickSort(nums, 0, n - 1);
for (int i = 0; i < n; ++i) {
System.out.printf("%d ", nums[i]);
}
}
public static void quickSort(int[] nums, int left, int right) {
if (left >= right) {
return;
}
int i = left - 1, j = right + 1;
int x = nums[left];
while (i < j) {
while (nums[++i] < x);
while (nums[--j] > x);
if (i < j) {
int t = nums[i];
nums[i] = nums[j];
nums[j] = t;
}
}
quickSort(nums, left, j);
quickSort(nums, j + 1, right);
}
}
var buf = "";
process.stdin.on("readable", function () {
var chunk = process.stdin.read();
if (chunk) buf += chunk.toString();
});
let getInputArgs = line => {
return line
.split(" ")
.filter(s => s !== "")
.map(x => parseInt(x));
};
function quickSort(nums, left, right) {
if (left >= right) {
return;
}
let i = left - 1;
let j = right + 1;
let x = nums[(left + right) >> 1];
while (i < j) {
while (nums[++i] < x);
while (nums[--j] > x);
if (i < j) {
const t = nums[i];
nums[i] = nums[j];
nums[j] = t;
}
}
quickSort(nums, left, j);
quickSort(nums, j + 1, right);
}
process.stdin.on("end", function () {
buf.split("\n").forEach(function (line, lineIdx) {
if (lineIdx % 2 === 1) {
nums = getInputArgs(line);
quickSort(nums, 0, nums.length - 1);
console.log(nums.join(" "));
}
});
});
package main
import "fmt"
func quickSort(nums []int, left, right int) {
if left >= right {
return
}
i, j := left-1, right+1
x := nums[(left+right)>>1]
for i < j {
for {
i++
if nums[i] >= x {
break
}
}
for {
j--
if nums[j] <= x {
break
}
}
if i < j {
nums[i], nums[j] = nums[j], nums[i]
}
}
quickSort(nums, left, j)
quickSort(nums, j+1, right)
}
func main() {
var n int
fmt.Scanf("%d\n", &n)
nums := make([]int, n)
for i := 0; i < n; i++ {
fmt.Scanf("%d", &nums[i])
}
quickSort(nums, 0, n-1)
for _, v := range nums {
fmt.Printf("%d ", v)
}
}
use rand::Rng; // 0.7.2
use std::io;
fn quick_sort(nums: &mut Vec<i32>, left: usize, right: usize) {
if left >= right {
return;
}
let random_index = rand::thread_rng().gen_range(left, right + 1);
let temp = nums[random_index];
nums[random_index] = nums[left];
nums[left] = temp;
let pivot = nums[left];
let mut i = left;
let mut j = right;
while i < j {
while i < j && nums[j] >= pivot {
j -= 1;
}
nums[i] = nums[j];
while i < j && nums[i] < pivot {
i += 1;
}
nums[j] = nums[i];
}
nums[i] = pivot;
quick_sort(nums, left, i);
quick_sort(nums, i + 1, right);
}
fn main() -> io::Result<()> {
let mut n = String::new();
io::stdin().read_line(&mut n)?;
let n = n.trim().parse::<usize>().unwrap();
let mut nums = String::new();
io::stdin().read_line(&mut nums)?;
let mut nums: Vec<i32> = nums.split(' ').map(|s| s.trim().parse().unwrap()).collect();
quick_sort(&mut nums, 0, n - 1);
for num in nums.iter() {
print!("{} ", num);
}
Ok(())
}
#include <iostream>
#include <vector>
using namespace std;
void printvec( const vector<int> &vec, const string &strbegin = "", const string &strend = "" )
{
cout << strbegin << endl;
for ( auto val : vec )
{
cout << val << "\t";
}
cout << endl;
cout << strend << endl;
}
int partition( vector<int> & vec, int left, int right )
{
if ( left >= right )
{
return left;
}
int base = vec[left];
while ( left < right )
{
while ( left < right && vec[right] >= base )
{
right--;
}
if ( left >= right )
{
break;
}
vec[left] = vec[right];
while ( left < right && vec[left] <= base )
{
left++;
}
if ( left >= right )
{
break;
}
vec[right] = vec[left];
}
vec[left] = base;
return left;
}
void quicksort( vector<int> & vec, int left, int right )
{
if ( left >= right )
{
return;
}
int idx = partition( vec, left, right );
quicksort( vec, left, idx - 1 );
quicksort( vec, idx + 1, right );
}
int main( void )
{
vector<int> vec = { 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 };
printvec( vec );
quicksort( vec, 0, vec.size() - 1 );
printvec( vec, "after insert sort" );
return 0;
}