diameter of binary tree leetcode 543 python

Download 1M+ code from https://codegive.com/78bee27
certainly! the diameter of a binary tree is a classic problem often encountered in coding interviews and algorithm challenges. the diameter is defined as the length of the longest path between any two nodes in the tree. this path may or may not pass through the root. the length of the path is the number of edges between the nodes.

problem statement
given the root of a binary tree, return the length of the diameter of the tree.

approach
to solve the problem, we can use a depth-first search (dfs) approach. here’s how we can break down the solution:

1. **recursive function**: we need a function that traverses the tree and at each node, computes the height of the left and right subtrees.
2. **calculate diameter**: during the traversal, we can also calculate the diameter by considering the longest path that goes through the current node, which is the height of the left subtree plus the height of the right subtree.
3. **keep track of maximum diameter**: we will maintain a variable to keep track of the maximum diameter found during the traversal.

python code example
here’s how you can implement the above approach in python:

```python
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 diameterofbinarytree(self, root: treenode) - int:
self.diameter = 0 initialize diameter

def dfs(node: treenode) - int:
if not node:
return 0 base case: height of an empty tree is 0

recursively get the height of left and right subtrees
left_height = dfs(node.left)
right_height = dfs(node.right)

update the diameter if the path through this node is larger
self.diameter = max(self.diameter, left_height + right_height)

return the height of the tree rooted at this node
...

#DiameterOfBinaryTree #LeetCode #windows
binary tree
diameter
LeetCode 543
Python
maximum distance
tree traversal
depth-first search
breadth-first search
recursion
node count
longest path
binary tree properties
tree height
algorithm
data structures