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
Return6.
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Solution {
int maxSum = Integer.MIN_VALUE;
public int maxPathSum(TreeNode root) {
if(root == null) {
return 0;
}
countPathSum(root);
return maxSum;
}
public int countPathSum(TreeNode root) {
if(root == null) {
return 0;
}
int sum = root.val;
int left = countPathSum(root.left);
int right = countPathSum(root.right);
if(left > 0) {
sum += left;
}
if(right > 0) {
sum += right;
}
if(maxSum < sum) {
maxSum = sum;
}
return Math.max(left, right) > 0 ? root.val + Math.max(left, right) : root.val;
}
}