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SortedBinTree.java
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210 lines (194 loc) · 6.64 KB
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package tree;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.List;
import java.util.Queue;
public class SortedBinTree<T extends Comparable> {
static class Node{
Object data;
Node parent;
Node left;
Node right;
public Node(Object data, Node parent, Node left, Node right){
this.data = data;
this.parent = parent;
this.left = left;
this.right = right;
}
public String toString(){
return "[data=" + data + "]";
}
public boolean equals(Object obj){
if(this == obj)
return true;
if(obj.getClass() == Node.class){
Node target = (Node) obj;
return data.equals(target.data)
&& left == target.left
&& right == target.right
&& parent == target.parent;
}
return false;
}
}
private Node root;
public SortedBinTree(){
root = null;
}
public SortedBinTree(T data){
root = new Node(data, null, null,null);
}
//添加节点
public void add(T ele){
if(root == null)
root = new Node(ele,null,null,null);
else {
Node current = root;
Node parent = null;
int cmp = 0;
//搜索合适的叶子节点,以该叶子节点为父节点添加新节点
do{
parent = current;
cmp = ele.compareTo(current.data);
//如果新节点的值大于当前节点的值
if(cmp > 0)
{
//以右节点作为当前节点的值
current = current.right;
}else {
//以左节点作为当前节点的值
current = current.left;
}
}while (current != null);
//创建新节点
Node newNode = new Node(ele, parent, null,null);
//如果新节点的值大于父节点的值
if(cmp > 0){
//新节点作为父节点的右子节点
parent.right = newNode;
}else {
//新节点作为父节点的左子节点
parent.left = newNode;
}
}
}
//删除节点
public void remove(T ele){
//获取要删除的节点
Node target = getNode(ele);
if(target == null)
return;
if(target.left == null && target.left == null){
//被删除节点是根节点
if(target == root)
root = null;
else {
//被删除的节点是父节点的左子节点
if(target == target.parent.left){
//将target的父节点的left设为null
target.parent.left = null;
}else {
//将target的父节点的right设为null
target.parent.right = null;
}
target.parent = null;
}
}else if(target.left == null && target.right != null){
//被删除节点是根节点
if(target == root)
root = target.right;
else {
//被删除节点是父节点的左子节点
if(target == target.parent.left){
//让target的父节点的left指向target的右子树
target.parent.left = target.right;
}else {
target.parent.right = target.parent;
}
}
}else if(target.left != null && target.right == null){
//被删除节点是根节点
if(target == root)
root = target.left;
else {
//被删除节点是父节点的左子节点
if(target == target.parent.left){
target.parent.left = target.left;
}else {
//让target的父节点的right指向target的左子树
target.parent.right = target.left;
}
target.left.parent = target.parent;
}
}else {
//leftMaxNode用于保存target节点的左子树中值最大的节点
Node leftMaxNode = target.left;
//搜索target节点的左子树中值最大的节点
while (leftMaxNode.right != null){
leftMaxNode = leftMaxNode.right;
}
//从原来的子树中删除leftMaxNode节点
leftMaxNode.parent.right = null;
//让leftMaxNode的parent指向target的parent
leftMaxNode.parent = target.parent;
//被删除节点是父节点的左子节点
if(target == target.parent.left){
//让target的父节点的left指向leftMaxNode
target.parent.left = leftMaxNode;
}else {
target.parent.right = leftMaxNode;
}
leftMaxNode.left = target.left;
leftMaxNode.right = target.right;
target.parent = target.left = target.right = null;
}
}
//根据给定的值搜索节点
public Node getNode(T ele) {
Node p = root;
while (p != null){
int cmp = ele.compareTo(p.data);
if(cmp < 0){
p = p.left;
}else if(cmp > 0){
p = p.right;
}else {
return p;
}
}
return null;
}
//广度优先遍历
public List<Node> breadthFirst(){
Queue<Node> queue = new ArrayDeque<>();
List<Node> list = new ArrayList<>();
if(root != null)
queue.offer(root);
while (!queue.isEmpty()){
//将该队列的“队尾”的元素添加到List中
list.add(queue.peek());
Node p = queue.poll();
//如果左子节点不为null,将它加入队列
if(p.left != null)
queue.offer(p.left);
//如果右子节点不为null,将它加入队列
if(p.right != null)
queue.offer(p.right);
}
return list;
}
//测试
public static void main(String[] args) {
SortedBinTree<Integer> tree = new SortedBinTree<>();
tree.add(5);
tree.add(20);
tree.add(10);
tree.add(3);
tree.add(8);
tree.add(15);
tree.add(30);
System.out.println(tree.breadthFirst());
tree.remove(20);
System.out.println(tree.breadthFirst());
}
}