# [Leetcode] [Java] Binary Tree Maximum Path Sum

Source: Internet
Author: User

Title:

Given a binary tree, find the maximum path sum.

The path may start and end at any node in the tree.

For example:
Given the below binary tree,

`       1      /      2   3`

Return `6` .

Test Instructions:

Given a binary tree, find the maximum path and.

The starting and ending positions of a path can be any node in the tree.

Like what

Given a binary tree as follows

`       1      /      2   3`
return `6` .

Algorithm Analysis:

1) recursively solve this problem

2) Get largest left sum and right sum

3) Compare to the stored maximum

* Here's a place to figure out, the shortest path result has four possible, current plus left, current plus right, current self, current plus left and right subtree return value

* and return value, there are three possible, current plus left, current plus right, the current self.

* Here return is not the current subtree, that is, the left and right add up ... Because it is only a road, it does not meet the requirements of the topic.

* Here, the return value of the function is defined as the longest path from the root to the child node with its own root

AC Code:

`<span style= "Font-family:microsoft yahei;font-size:12px;" >/** * Definition for a binary tree node.  * public class TreeNode {*     int val, *     TreeNode left, *     TreeNode right; *     TreeNode (int x) {val = x;} *} */public class Solution {public    int maxpathsum (TreeNode root)     {    int max[] = new int[1];     Max[0] = Integer.min_value;    Calculatesum (Root, max);    return max[0];    }         public int calculatesum (TreeNode root, int[] max)     {    if (root = null)    return 0;         int left = Calculatesum (Root.left, max);    int right = Calculatesum (Root.right, max);         int current = Math.max (Root.val, Math.max (Root.val + left, Root.val + right));         Max[0] = Math.max (max[0], Math.max (current, left + Root.val + right));         return current;    }} </span>`

[Leetcode] [Java] Binary Tree Maximum Path Sum

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