Given a binary tree, find out the maximum sum of value from root to each leaf.

Objective: Find the maximum sum leaf to root path in a Binary Tree. Means in all the paths from root to leaves, find the path which has the maximum sum.

Input: A binary tree

Example:

Maximum Sum Leaf to Root pathApproach:

This solution will be divided into two parts

Find the leaf which has the maximum sum from root.

  • Take a global variable maxLeaf and maxSum. (this maxLeaf will the node which has the maximum sum path and maxSum will the maximum sum.)
  • Do the preorder traversal
  • At each node, maintain a another variable sum = sum + root.data.
  • When ever you reach to any leaf, check if sum>maxSum, if yes then update the maxLeaf and maxSum.

Print the path from root to that leaf.

Please refer this link to print the path.

Complete Code:


Output:

Maximum Sum Leaf to Root path :18
Path : 8 6 3 1

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