topic:
Given a binary tree, check whether it is mirror-symmetrical.
For example, the binary tree [1,2,2,3,4,4,3] is symmetric.
1
/ \
2 2
/ \ / \
3 4 4 3But the following [1,2,2,null,3,null,3] is not mirror symmetry:
1
/ \
2 2
\ \
3 3
Ideas:
Code:
/**
* Definition for a binary tree node.
* function TreeNode(val, left, right) {
* this.val = (val===undefined ? 0 : val)
* this.left = (left===undefined ? null : left)
* this.right = (right===undefined ? null : right)
* }
*/
/**
* @param {TreeNode} root
* @return {boolean}
*/
var isSymmetric = function(root) {
const check = (left, right) => {
if (left == null && right == null) { // 两个子树都为null,是对称的
return true;
}
if (left && right) { // 两个子树都存在,则需要:root值相同,且他们的子树也满足镜像
return left.val == right.val && check(left.left, right.right) && check(left.right, right.left);
}
return false; // 一个子树存在一个不存在,肯定不对称
};
if (root == null) { // 如果传入的root就是null,对称
return true;
}
return check(root.left, root.right); // 否则,判断它的左右子树是否满足对称
};