From be038bb8025589937c1487ef64444305edcafde7 Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Wed, 28 Oct 2026 03:19:02 +0800 Subject: [PATCH] =?UTF-8?q?Update=20=E7=AE=97=E6=B3=95=20-=20=E6=8E=92?= =?UTF-8?q?=E5=BA=8F.md?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 重新绘制配图,调整快速排序和堆示例代码中的方法签名,文字校对,补充参考资料。 --- notes/pics/heap-array.png | Bin 0 -> 92167 bytes notes/pics/sort-merge.png | Bin 0 -> 147191 bytes notes/pics/sort-quick.png | Bin 0 -> 107861 bytes notes/pics/sort-shell.png | Bin 0 -> 113695 bytes notes/算法 - 排序.md | 19 ++++++++++++------- 5 files changed, 12 insertions(+), 7 deletions(-) create mode 100644 notes/pics/heap-array.png create mode 100644 notes/pics/sort-merge.png create mode 100644 notes/pics/sort-quick.png create mode 100644 notes/pics/sort-shell.png diff --git a/notes/pics/heap-array.png b/notes/pics/heap-array.png new file mode 100644 index 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zsKa7bw>?D49tRtrtKcJj%6h|nH&{|Ef1Tmpa*~pEVBbR&Q17(+j}?}SMTBb~)i$gk zp81J$^t{C-!TrM~jF~a@q6humkG(wgNNYe15@*jImXXLpJ6=Y0YKUPg;kAyroS*|M*iJf2CMR&~`z{IhnuxDBO+a{>MzdnWN4uv?V-I#{oxa&CV z)HFDs{wO6T14lq)ON0oB$J2>LG zz1>W5czcg}WbU%X>%^H0+v~VDu7MznF--}tM%L^$uRbO=hP%Z^yMzZi8xK~PiHy|J zq%K=CUMO^Q)Zj6X8Z~i3ZN?JdNnBc~FtDD#X-DQ_$j?ixLxEE`&Pp`;RIVqhkRpIoA(o~sUg;7Dd9 z#p@!utM)F+M+l$adDb9_-+SfXiGOU{Pjamd`u%b4vwJ%$1RJsTZTCKy1fDPQbEsxD zKKQ6W1;4F_KnsdV&0J7pJkQo?j&)#AcvQr#>y> extends Sort { 希尔排序使用插入排序对间隔 h 的序列进行排序。通过不断减小 h,最后令 h=1,就可以使得整个数组是有序的。 -

+

```java public class Shell> extends Sort { @@ -148,7 +148,7 @@ public class Shell> extends Sort { 归并排序的思想是将数组分成两部分,分别进行排序,然后归并起来。 -

+

### 1. 归并方法 @@ -244,7 +244,7 @@ public class Down2UpMergeSort> extends MergeSort { - 归并排序将数组分为两个子数组分别排序,并将有序的子数组归并使得整个数组排序; - 快速排序通过一个切分元素将数组分为两个子数组,左子数组小于等于切分元素,右子数组大于等于切分元素,将这两个子数组排序也就将整个数组排序了。 -

+

```java public class QuickSort> extends Sort { @@ -255,7 +255,7 @@ public class QuickSort> extends Sort { sort(nums, 0, nums.length - 1); } - private void sort(T[] nums, int l, int h) { + protected void sort(T[] nums, int l, int h) { if (h <= l) return; int j = partition(nums, l, h); @@ -379,7 +379,7 @@ public T select(T[] nums, int k) { 堆可以用数组来表示,这是因为堆是完全二叉树,而完全二叉树很容易就存储在数组中。位置 k 的节点的父节点位置为 k/2,而它的两个子节点的位置分别为 2k 和 2k+1。这里不使用数组索引为 0 的位置,是为了更清晰地描述节点的位置关系。 -

+

```java public class Heap> { @@ -449,7 +449,7 @@ private void sink(int k) { 将新元素放到数组末尾,然后上浮到合适的位置。 ```java -public void insert(Comparable v) { +public void insert(T v) { heap[++N] = v; swim(N); } @@ -475,7 +475,7 @@ public T delMax() { ##### 5.1 构建堆 -无序数组建立堆最直接的方法是从左到右遍历数组进行上浮操作。一个更高效的方法是从右至左进行下沉操作,如果一个节点的两个节点都已经是堆有序,那么进行下沉操作可以使得这个节点为根节点的堆有序。叶子节点不需要进行下沉操作,可以忽略叶子节点的元素,因此只需要遍历一半的元素即可。 +无序数组建立堆最直接的方法是从左到右遍历数组进行上浮操作。一个更高效的方法是从右至左进行下沉操作,如果一个节点的两个子节点都已经是堆有序,那么进行下沉操作可以使得这个节点为根节点的堆有序。叶子节点不需要进行下沉操作,可以忽略叶子节点的元素,因此只需要遍历一半的元素即可。

@@ -552,3 +552,8 @@ public class HeapSort> extends Sort { ### 2. Java 的排序算法实现 Java 主要排序方法为 java.util.Arrays.sort(),对于原始数据类型使用双轴快速排序(Dual-Pivot Quicksort),对于引用类型使用 TimSort,它是归并排序的改进版本。 + +## 参考资料 + +- Sedgewick R, Wayne K. 算法(第 4 版)[M]. 人民邮电出版社, 2012. +- [Algorithms, 4th Edition](https://algs4.cs.princeton.edu/home/)