Hard
A path in a binary tree is a sequence of nodes where each pair of adjacent nodes in the sequence has an edge connecting them. A node can only appear in the sequence at most once. Note that the path does not need to pass through the root.
The path sum of a path is the sum of the node’s values in the path.
Given the root
of a binary tree, return the maximum path sum of any non-empty path.
Example 1:
Input: root = [1,2,3]
Output: 6
Explanation: The optimal path is 2 -> 1 -> 3 with a path sum of 2 + 1 + 3 = 6.
Example 2:
Input: root = [-10,9,20,null,null,15,7]
Output: 42
Explanation: The optimal path is 15 -> 20 -> 7 with a path sum of 15 + 20 + 7 = 42.
Constraints:
[1, 3 * 104]
.-1000 <= Node.val <= 1000
import com_github_leetcode.TreeNode
/*
* Example:
* var ti = TreeNode(5)
* var v = ti.`val`
* Definition for a binary tree node.
* class TreeNode(var `val`: Int) {
* var left: TreeNode? = null
* var right: TreeNode? = null
* }
*/
class Solution {
private var max = Int.MIN_VALUE
private fun helper(root: TreeNode?): Int {
if (root == null) {
return 0
}
// to avoid the -ve values in left side we will compare them with 0
val left = Math.max(0, helper(root.left))
val right = Math.max(0, helper(root.right))
val current: Int = root.`val` + left + right
if (current > max) {
max = current
}
return root.`val` + Math.max(left, right)
}
fun maxPathSum(root: TreeNode?): Int {
helper(root)
return max
}
}