diff --git a/docs/cs-basics/data-structure/pictures/红黑树/红黑树1.PNG b/docs/cs-basics/data-structure/pictures/红黑树/红黑树1.PNG new file mode 100644 index 00000000..57974d4f Binary files /dev/null and b/docs/cs-basics/data-structure/pictures/红黑树/红黑树1.PNG differ diff --git a/docs/cs-basics/data-structure/pictures/红黑树/红黑树2.PNG b/docs/cs-basics/data-structure/pictures/红黑树/红黑树2.PNG new file mode 100644 index 00000000..7f3616bd Binary files /dev/null and b/docs/cs-basics/data-structure/pictures/红黑树/红黑树2.PNG differ diff --git a/docs/cs-basics/data-structure/pictures/红黑树/红黑树3.PNG b/docs/cs-basics/data-structure/pictures/红黑树/红黑树3.PNG new file mode 100644 index 00000000..29a7a05e Binary files /dev/null and b/docs/cs-basics/data-structure/pictures/红黑树/红黑树3.PNG differ diff --git a/docs/cs-basics/data-structure/pictures/红黑树/红黑树4.PNG b/docs/cs-basics/data-structure/pictures/红黑树/红黑树4.PNG new file mode 100644 index 00000000..9d086186 Binary files /dev/null and b/docs/cs-basics/data-structure/pictures/红黑树/红黑树4.PNG differ diff --git a/docs/cs-basics/data-structure/pictures/红黑树/红黑树5.PNG b/docs/cs-basics/data-structure/pictures/红黑树/红黑树5.PNG new file mode 100644 index 00000000..c90bc86f Binary files /dev/null and b/docs/cs-basics/data-structure/pictures/红黑树/红黑树5.PNG differ diff --git a/docs/cs-basics/data-structure/pictures/红黑树/红黑树6.PNG b/docs/cs-basics/data-structure/pictures/红黑树/红黑树6.PNG new file mode 100644 index 00000000..8d29aad5 Binary files /dev/null and b/docs/cs-basics/data-structure/pictures/红黑树/红黑树6.PNG differ diff --git a/docs/cs-basics/data-structure/red-black-tree.md b/docs/cs-basics/data-structure/red-black-tree.md index 20d60e62..b2a4f27d 100644 --- a/docs/cs-basics/data-structure/red-black-tree.md +++ b/docs/cs-basics/data-structure/red-black-tree.md @@ -6,14 +6,80 @@ tag: # 红黑树 -**红黑树特点** : +## 红黑树数据结构 + +建立在 BST 二叉搜索树的基础上,AVL、2-3树、红黑树都是自平衡二叉树(统称B-树)。但相比于AVL树,高度平衡所带来的时间复杂度,红黑树对平衡的控制要宽松一些,红黑树只需要保证黑色节点平衡即可。 + +## **红黑树特点** 1. 每个节点非红即黑; + + 黑色决定平衡,红色不决定平衡。这对应了2-3树中一个节点内可以存放1~2个节点。 + 2. 根节点总是黑色的; + 3. 每个叶子节点都是黑色的空节点(NIL 节点); + + 这里指的是红黑树都会有一个空的叶子节点,是红黑树自己的规则。 + 4. 如果节点是红色的,则它的子节点必须是黑色的(反之不一定); + + 通常这条规则也叫不会有连续的红色节点。一个节点最多临时会有3个节点,中间是黑色节点,左右是红色节点。 + 5. 从根节点到叶节点或空子节点的每条路径,必须包含相同数目的黑色节点(即相同的黑色高度)。 + 每一层都只是有一个节点贡献了树高决定平衡性,也就是对应红黑树中的黑色节点。 + +## 红黑树结构实现 + +```java +public class Node { + + public Class clazz; + public Integer value; + public Node parent; + public Node left; + public Node right; + + // AVL 树所需属性 + public int height; + // 红黑树所需属性 + public Color color = Color.RED; + +} +``` + +### 1.左倾染色 + +![幻灯片1](D:\Desktop\JavaGuide\docs\cs-basics\data-structure\pictures\红黑树\红黑树1.PNG) + +- 染色时根据当前节点的爷爷节点,找到当前节点的叔叔节点。 +- 再把父节点染黑、叔叔节点染黑,爷爷节点染红。但爷爷节点染红是临时的,当平衡树高操作后会把根节点染黑。 + +### 2.右倾染色 + +![幻灯片2](D:\Desktop\JavaGuide\docs\cs-basics\data-structure\pictures\红黑树\红黑树2.PNG) + +### 3.左旋调衡 + +#### 3.1一次左旋 + +![幻灯片3](D:\Desktop\JavaGuide\docs\cs-basics\data-structure\pictures\红黑树\红黑树3.PNG) + +#### 3.2右旋+左旋 + +![幻灯片4](D:\Desktop\JavaGuide\docs\cs-basics\data-structure\pictures\红黑树\红黑树4.PNG) + +### 4.右旋调衡 + +#### 4.1一次右旋 + +![幻灯片5](D:\Desktop\JavaGuide\docs\cs-basics\data-structure\pictures\红黑树\红黑树5.PNG) + +#### 4.2左旋+右旋 + +![幻灯片6](D:\Desktop\JavaGuide\docs\cs-basics\data-structure\pictures\红黑树\红黑树6.PNG) + **红黑树的应用**:TreeMap、TreeSet 以及 JDK1.8 的 HashMap 底层都用到了红黑树。 **为什么要用红黑树?** 简单来说红黑树就是为了解决二叉查找树的缺陷,因为二叉查找树在某些情况下会退化成一个线性结构。详细了解可以查看 [漫画:什么是红黑树?](https://juejin.im/post/5a27c6946fb9a04509096248#comment)(也介绍到了二叉查找树,非常推荐)