Given a binary tree, you need to compute the length of the diameter of the tree. The diameter of a binary tree is the length of the longest path between any two nodes in a tree. This path may or may not pass through the root.

Example:
Given a binary tree
1
/ \
2 3
/ \
4 5
Return 3, which is the length of the path [4,2,1,3] or [5,2,1,3]. Note: The length of path between two nodes is represented by the number of edges between them.
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
/*
二叉树的直径:二叉树中从一个结点到另一个节点最长的路径,叫做二叉树的直径
采用分治和递归的思想:根节点为root的二叉树的直径 = Max(左子树直径,右子树直径,左子树的最大深度(不包括根节点)+右子树的最大深度(不包括根节点)+1)
*/ class Solution {
int res ;
public int diameterOfBinaryTree(TreeNode root) {
res = 0;
getDepth(root);
return res;
} // 此函数是返回树的最大深度
public int getDepth(TreeNode root){
if(root == null){
return 0;
}
int left = getDepth(root.left);
int right = getDepth(root.right);
res = Math.max(res, left+right);
return Math.max(left, right) + 1; }
}

  

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