LeetCode | Symmetric Tree

2014-11-24 10:42:29 · 作者: · 浏览: 1

题目

Given a binary tree, check whether it is a mirror of itself (ie, symmetric around its center).

For example, this binary tree is symmetric:

    1
   / \
  2   2
 / \ / \
3  4 4  3

But the following is not:

    1
   / \
  2   2
   \   \
   3    3

Note:
Bonus points if you could solve it both recursively and iteratively.

分析

题目要求递归(解法1)和非递归(解法2)都试试。

非递归其实就是用stack来辅助。

也有用中序遍历的方法,判断中序遍历结果是否对称。

解法1

public class SymmetricTree {
	public boolean isSymmetric(TreeNode root) {
		if (root == null) {
			return true;
		}
		return solve(root.left, root.right);
	}

	private boolean solve(TreeNode left, TreeNode right) {
		if (left == null && right == null) {
			return true;
		}
		if (left == null || right == null || left.val != right.val) {
			return false;
		}
		return solve(left.left, right.right) && solve(left.right, right.left);
	}
}
解法2

import java.util.Stack;

public class SymmetricTree {
	public boolean isSymmetric(TreeNode root) {
		if (root == null) {
			return true;
		}
		Stack
  
    leftStack = new Stack
   
    (); Stack
    
      rightStack = new Stack
     
      (); leftStack.push(root.left); rightStack.push(root.right); while (!(leftStack.isEmpty() || rightStack.isEmpty())) { TreeNode left = leftStack.pop(); TreeNode right = rightStack.pop(); if (left == null && right == null) { continue; } if (left == null || right == null || left.val != right.val) { return false; } leftStack.add(left.left); leftStack.add(left.right); rightStack.add(right.right); rightStack.add(right.left); } return true; } }