判断一棵二叉树是否是平衡二叉树
2019-11-27 本文已影响0人
Ramsey16k
思路:
递归方式判断,返回的信息应该有两个:
(1)这棵树是否是平衡的
(2)这棵树的高度为多少
public class IsBalancedTree{
public static class Node {
public int value;
public Node left;
public Node right;
public Node(int data) {
this.value = data;
}
}
public static class ReturnData {
public boolean isB; // 是否平衡
public int h; // 高度
public ReturnData(boolean isB, int h) {
this.isB = isB;
this.h = h;
}
}
public static ReturnData process(Node head) {
if (head == null) { // 空树是平衡的
return new ReturnData(true, 0);
}
ReturnData leftData = process(head.left);
if (!leftData.isB) { // 左子树不平衡,返回false
return new ReturnData(false, 0);
}
ReturnData rightData = process(head.right);
if (!rightData.isB) { // 右子树不平衡,返回false
return new ReturnData(false, 0);
}
if (Math.abs(leftData.h - rightData.h) > 1) {
//左子树和右子树的高度查大于1,返回false
return new ReturnData(false, 0);
}
//节点的高度 = 左子树和右子树中较大的那个高度 + 1
return new ReturnData(true, Math.max(leftData.h, rightData.h) + 1);
}
public static boolean isB(Node head){
// 判断是否是平衡二叉树
return process(head).isB;
}
public static void main(String[] args) {
Node head = new Node(1);
head.left = new Node(2);
head.right = new Node(3);
head.left.left = new Node(4);
head.left.right = new Node(5);
head.right.left = new Node(6);
head.right.right = new Node(7);
System.out.println(isB(head));
}
}