Given a binary tree, find the maximum vertical level sum in binary tree.
Input : 3 / \ 4 6 / \ / \ -1 -2 5 10 \ 8 Output : 14 Vertical level having nodes 6 and 8 has maximum vertical sum 14. Input : 1 / \ 5 8 / \ \ 2 -6 3 \ / -1 -4 \ 9 Output : 4
A simple solution is to first find vertical level sum of each level starting from minimum vertical level to maximum vertical level. Finding sum of one vertical level takes O(n) time. In worst case time complexity of this solution is O(n^2).
An efficient solution is to do level order traversal of given binary tree and update vertical level sum of each level while doing the traversal. After finding vertical sum of each level find maximum vertical sum from these values.
Below is the implementation of above approach:
Time Complexity: O(n)
Auxiliary Space: O(n)
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- Vertical Sum in a given Binary Tree | Set 1
- Vertical width of Binary tree | Set 1
- Vertical width of Binary tree | Set 2
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- Vertical Sum in Binary Tree | Set 2 (Space Optimized)
- Print a Binary Tree in Vertical Order | Set 2 (Map based Method)
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- Find the node with maximum value in a Binary Search Tree using recursion
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