LeetCode in Kotlin

865. Smallest Subtree with all the Deepest Nodes

Medium

Given the root of a binary tree, the depth of each node is the shortest distance to the root.

Return the smallest subtree such that it contains all the deepest nodes in the original tree.

A node is called the deepest if it has the largest depth possible among any node in the entire tree.

The subtree of a node is a tree consisting of that node, plus the set of all descendants of that node.

Example 1:

Input: root = [3,5,1,6,2,0,8,null,null,7,4]

Output: [2,7,4]

Explanation:

We return the node with value 2, colored in yellow in the diagram.

The nodes coloured in blue are the deepest nodes of the tree.

Notice that nodes 5, 3 and 2 contain the deepest nodes in the tree but node 2 is the smallest subtree among them, so we return it.

Example 2:

Input: root = [1]

Output: [1]

Explanation: The root is the deepest node in the tree.

Example 3:

Input: root = [0,1,3,null,2]

Output: [2]

Explanation: The deepest node in the tree is 2, the valid subtrees are the subtrees of nodes 2, 1 and 0 but the subtree of node 2 is the smallest.

Constraints:

Note: This question is the same as 1123: https://leetcode.com/problems/lowest-common-ancestor-of-deepest-leaves/

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 deepLevel = 0
    private var left: TreeNode? = null
    private var right: TreeNode? = null

    fun subtreeWithAllDeepest(root: TreeNode?): TreeNode? {
        if (root == null || root.left == null && root.right == null) {
            return root
        }
        deep(root, 0)
        return if (right == null) {
            left
        } else {
            lca(root, left!!.`val`, right!!.`val`)
        }
    }

    private fun lca(root: TreeNode?, left: Int, right: Int): TreeNode? {
        if (root == null) {
            return null
        }
        if (root.`val` == left || root.`val` == right) {
            return root
        }
        val leftLca: TreeNode? = lca(root.left, left, right)
        val rightLca: TreeNode? = lca(root.right, left, right)
        return if (leftLca != null && rightLca != null) {
            root
        } else leftLca ?: rightLca
    }

    private fun deep(root: TreeNode?, level: Int) {
        if (root == null) {
            return
        }
        if (deepLevel < level) {
            deepLevel = level
            left = root
            right = null
        } else if (deepLevel == level) {
            right = root
        }
        deep(root.left, level + 1)
        deep(root.right, level + 1)
    }
}