LeetCode in Kotlin

124. Binary Tree Maximum Path Sum

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:

Solution

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
    }
}
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