0543 Diameter of Binary Tree

Solved at: 2023-01-29 Diameter of Binary Tree

Question

Given the root of a binary tree, return the length of the diameter of the tree.

The diameter of a binary tree is the length of the longest path between any two nodes in a tree. This path may or may not pass through the root.

The length of a path between two nodes is represented by the number of edges between them.

Solution

class Solution {

    func getHeight(_ root: TreeNode?) -> Int {
        guard root != nil else { return 0 }
        return max(getHeight(root!.left), getHeight(root!.right)) + 1
    }

    func diameterOfBinaryTree(_ root: TreeNode?) -> Int {
        guard root != nil else { return 0 }
        return getHeight(root!.left) + getHeight(root!.right)
    }
}

Improved

class Solution {

    func getHeight(_ root: TreeNode?) -> Int {
        guard root != nil else { return 0 }
        return max(getHeight(root!.left), getHeight(root!.right)) + 1
    }

    func diameterOfBinaryTree(_ root: TreeNode?) -> Int {
        guard root != nil else { return 0 }
        let this = getHeight(root!.left) + getHeight(root!.right)
        let left = diameterOfBinaryTree(root!.left)
        let right = diameterOfBinaryTree(root!.right)
        return max(this, left, right)
    }
}

Results

• Runtime 118 ms, Beats 9.43%
• Memory 14.6 MB, Beats 68.40%

Complexity Analysis

Time: $O(n)$ Space: $O(n)$