lintcode97- Maximum Depth of Binary Tree- easy

Given a binary tree, find its maximum depth.

The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.

Example

Given a binary tree as follow:

  1
 /  
2   3
   / 
  4   5

The maximum depth is 3.

分治法做。本层高度就是max（左高度，右高度） +1。出口是null->0。

/**
 * Definition of TreeNode:
 * public class TreeNode {
 *     public int val;
 *     public TreeNode left, right;
 *     public TreeNode(int val) {
 *         this.val = val;
 *         this.left = this.right = null;
 *     }
 * }
 */
public class Solution {
    /**
     * @param root: The root of binary tree.
     * @return: An integer.
     */
    public int maxDepth(TreeNode root) {
        // write your code here
        if (root == null){
            return 0;
        }

        int leftDepth = maxDepth(root.left) + 1;
        int rightDepth = maxDepth(root.right) + 1;

        return Math.max(leftDepth, rightDepth);
    }
}