Program to find longest path between two nodes of a tree in Python



Suppose we have a binary tree; we have to find the longest path between any two nodes in the tree.

So, if the input is like

 then the output will be 5 

To solve this, we will follow these steps:

  • ans := 0

  • Define a function getMaxPath() . This will take node

  • if node is null, then

    • return 0

  • leftCnt := getMaxPath(left of node)

  • rightCnt := getMaxPath(right of node)

  • temp := 1 + maximum of leftCnt and rightCnt

  • ans := maximum of ans and l+r+1

  • From the main method do the following −

  • getMaxPath(root)

  • return ans

Let us see the following implementation to get better understanding −

Example

 Live Demo

class TreeNode:
   def __init__(self, val, left=None, right=None):
      self.val = val
      self.left = left
      self.right = right

class Solution:
   def solve(self, root):
      self.ans = 0
      def getMaxPath(root):
         if root is None:
            return 0
         l = getMaxPath(root.left)
         r = getMaxPath(root.right)
         temp = max(l, r) + 1
         self.ans = max(self.ans, l + r + 1)
         return temp
      getMaxPath(root)
      return self.ans
ob = Solution()
root = TreeNode(2)
root.left = TreeNode(10)
root.right = TreeNode(4)
root.right.left = TreeNode(8)
root.right.right = TreeNode(2)
root.right.left.left = TreeNode(6)
print(ob.solve(root))

Input

root = TreeNode(2)
root.left = TreeNode(10)
root.right = TreeNode(4)
root.right.left = TreeNode(8)
root.right.right = TreeNode(2)
root.right.left.left = TreeNode(6)

Output

5
raja
Published on 10-Oct-2020 14:04:43
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