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.
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; } }