feat: Add the section of heap sort. (#516)

* Add the section of heap sort.

* Update heap_sort.cpp
This commit is contained in:
Yudong Jin
2023-05-26 04:46:56 +08:00
committed by GitHub
parent afb08a26e0
commit ee716a2c23
18 changed files with 309 additions and 6 deletions

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/**
* File: heap_sort.java
* Created Time: 2023-05-26
* Author: Krahets (krahets@163.com)
*/
package chapter_sorting;
import java.util.Arrays;
public class heap_sort {
/* 堆的长度为 n ,从节点 i 开始,从顶至底堆化 */
public static void siftDown(int[] nums, int n, int i) {
while (true) {
// 判断节点 i, l, r 中值最大的节点,记为 ma
int l = 2 * i + 1;
int r = 2 * i + 2;
int ma = i;
if (l < n && nums[l] > nums[ma])
ma = l;
if (r < n && nums[r] > nums[ma])
ma = r;
// 若节点 i 最大或索引 l, r 越界,则无需继续堆化,跳出
if (ma == i)
break;
// 交换两节点
int temp = nums[i];
nums[i] = nums[ma];
nums[ma] = temp;
// 循环向下堆化
i = ma;
}
}
/* 堆排序 */
public static void heapSort(int[] nums) {
// 建堆操作:堆化除叶节点以外的其他所有节点
for (int i = nums.length / 2 - 1; i >= 0; i--) {
siftDown(nums, nums.length, i);
}
// 从堆中提取最大元素,循环 n-1 轮
for (int i = nums.length - 1; i > 0; i--) {
// 交换根节点与最右叶节点(即交换首元素与尾元素)
int tmp = nums[0];
nums[0] = nums[i];
nums[i] = tmp;
// 以根节点为起点,从顶至底进行堆化
siftDown(nums, i, 0);
}
}
public static void main(String[] args) {
int[] nums = { 4, 1, 3, 1, 5, 2 };
heapSort(nums);
System.out.println("堆排序完成后 nums = " + Arrays.toString(nums));
}
}