[Solved] You are given the root of a binary tree where each node has a value 0 or 1. Each root-to-leaf path represents a binary number starting with the most significant bit.

Question

You are given the root of a binary tree where each node has a value 0 or 1. Each root-to-leaf path represents a binary number starting with the most significant bit.

  • For example, if the path is 0 -> 1 -> 1 -> 0 -> 1, then this could represent 01101 in binary, which is 13.

For all leaves in the tree, consider the numbers represented by the path from the root to that leaf. Return the sum of these numbers.

The test cases are generated so that the answer fits in a 32-bits integer.

Example 1:

sum of root to leaf binary numbers
Input: root = [1,0,1,0,1,0,1]
Output: 22
Explanation: (100) + (101) + (110) + (111) = 4 + 5 + 6 + 7 = 22

Example 2:

Input: root = [0]
Output: 0

Constraints:

  • The number of nodes in the tree is in the range [1, 1000].
  • Node.val is 0 or 1.

Python Solution

def traversal(root,l,prev):
    if root==None:
        return
    if root.left==None and root.right==None:
        l.append(prev+str(root.val))
    traversal(root.left,l,prev+str(root.val))
    traversal(root.right,l,prev+str(root.val))

class Solution:
    def sumRootToLeaf(self, root: TreeNode) -> int:
        l = []
        traversal(root,l,'')
        s = 0
        for  i in l:
            s+=int(i,2)
        return s
Abhishek Sharma
Abhishek Sharma

Started my Data Science journey in my 2nd year of college and since then continuously into it because of the magical powers of ML and continuously doing projects in almost every domain of AI like ML, DL, CV, NLP.

Articles: 520

Subscribe to our Newsletter

Subscribe to our newsletter and receive all latest projects...

Leave a Reply

Your email address will not be published. Required fields are marked *