LeetCode-in-All

543. Diameter of Binary Tree

Easy

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.

Example 1:

Input: root = [1,2,3,4,5]

Output: 3

Explanation: 3 is the length of the path [4,2,1,3] or [5,2,1,3].

Example 2:

Input: root = [1,2]

Output: 1

Constraints:

Solution

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def __init__(self):
        self.diameter = 0

    def diameterOfBinaryTree(self, root: Optional[TreeNode]) -> int:
        self.diameter = 0
        self.diameterOfBinaryTreeUtil(root)
        return self.diameter

    def diameterOfBinaryTreeUtil(self, root: TreeNode) -> int:
        if root is None:
            return 0
        leftLength = 1 + self.diameterOfBinaryTreeUtil(root.left) if root.left else 0
        rightLength = 1 + self.diameterOfBinaryTreeUtil(root.right) if root.right else 0
        self.diameter = max(self.diameter, leftLength + rightLength)
        return max(leftLength, rightLength)