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.
confused what\"{1,#,2,3}\"means? > read more on how binary tree is serialized on OJ.
OJ\'s Binary Tree Serialization:
The serialization of a binary tree follows a level order traversal, where \'#\' signifies a path terminator where no node exists below.
Here\'s an example:
1
/ \\
2 3
/
4
\\
5
The above binary tree is serialized as\"{1,2,3,#,#,4,#,#,5}\".
package leetcode;
public class Symmetric_tree {
public static void main(String[] args) {
TreeNode t1 = new TreeNode(1);
TreeNode t2 = new TreeNode(2);
t1.right = t2;
System.out.println(isSymmetric(t1));
}
public static boolean isSymmetric(TreeNode root) {
if(root == null || (root.left == null && root.right == null)) {
return true;
}
//traverse(root.right); //这个位置我当时是想通过递归使右子树整个转置,然后判断左右子树进行相等
if(isSame(root.left,root.right)) { //
return true;
}else {
return false;
}
}
private static boolean isSame(TreeNode left, TreeNode right) {
// TODO Auto-generated method stub
if((left == null && right == null)) {
return true;
}else if(left != null && right != null) {
if(left.val == right.val)
return isSame(left.left, right.right) && isSame(left.right, right.left); //其实不需要转置,只要判断左的右和右的左是否相等
//return isSame(left.left, right.left) && isSame(left.right, right.right); //脑子抽了,还想转置之后判断左和左与右和右
}
return false;
}
/*private static void traverse(TreeNode root) { //利用递归使这个树进行转置
// TODO Auto-generated method stub
if(root == null) {
return;
}else {
if(root.left != null) {
traverse(root.left);
}
if(root.right != null) {
traverse(root.right);
}
TreeNode temp = root.left;
root.left = root.right;
root.right = temp;
}
}*/
}
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