package com.example.demo2;
/**
* 推荐一本非常详细的树<算法> 第四版java 实现。想要的话下方评论哈
* @param <Key>
* @param <Value>
*/
public class RBTree<Key extends Comparable<Key>,Value> {
private Node root;
// 左旋:把右链接为红色的节点变成左链接红色
Node rolateLeft(Node h){
Node x = h.right;
h.right = x.left;
x.left = h;
x.color = Color.BLACK.getIsRed();
x.N = h.N;
h.N = 1 + size(h.left) + size(h.right);
return null;
}
public int size(Node x){
if(x == null) return 0;
return x.left.N + x.right.N;
}
// 右旋:把红色左链接变为红色右链接
Node rolateRight(Node h){
Node x = h.left;
h.left = x.right;
x.right = h;
x.color = h.color;
h.color = Color.RED.getIsRed();
x.N = h.N;
h.N = 1 + size(h.left) + size(h.right);
return x;
}
private boolean isRed(Node x){
if(x == null) return false;
return x.color == Color.RED.getIsRed();
}
/**
* 红黑树插入分为 向单个2-结点插入键值对 1、左链接为红色 2、右链接为红色 需要旋转
* 向树底部插入新键 如果出现红色右链接需要发生左旋
* 向一颗双键树插入新键 1、新键最大 2、新健最小 3、新键介于两者之间
* 红链接需要向上传递
* @param key
* @param value
*/
public void put(Key key,Value value){
root = put(root,key,value);
root.color = Color.BLACK.getIsRed();
}
public Node put(Node h,Key key,Value value){
if(h == null) return new Node(key,value,1,Color.RED.getIsRed());
int cmp = key.compareTo((Key) h.key);
if (cmp<0) h.left = put(h.left,key,value);
else if(cmp>0) h.right = put(h.right,key,value);
else h.val = value;
if(isRed(h.right) && !isRed(h.left)) h = rolateLeft(h);
if(isRed(h.left) && isRed(h.left.left)) h = rolateRight(h);
if (isRed(h.left) && isRed(h.right)) flipColors(h);
h.N = size(h.left) + size(h.right);
return h;
}
public void flipColors(Node h){
h.color = Color.RED.getIsRed();
h.left.color = Color.BLACK.getIsRed();
h.right.color = Color.BLACK.getIsRed();
}
}
// 结点
package com.example.demo2;
// 红黑树节点数据类型
public class Node<Key extends Comparable<Key>,Value> {
Key key;
Value val;
Node left,right;
int N; // 子树中的节点总数
boolean color;
Node(Key key,Value value,int N,boolean color){
this.key = key;
this.val = value;
this.N = N;
this.color = color;
}
}
// color
package com.example.demo2;
public enum Color {
RED("红色", true), BLACK("黑色", false);
private String name;
private boolean isRed;
Color(String name, boolean isRed) {
this.name = name;
this.isRed = isRed;
}
public String getName() {
return name;
}
public void setName(String name) {
this.name = name;
}
public boolean getIsRed() {
return isRed;
}
public void setIsRed(boolean isRed) {
this.isRed = isRed;
}
}
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