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)
- Find if given vertical level of binary tree is sorted or not
- Vertical Sum in a given Binary Tree | Set 1
- Vertical width of Binary tree | Set 1
- Vertical width of Binary tree | Set 2
- Vertical Sum in Binary Tree | Set 2 (Space Optimized)
- Print a Binary Tree in Vertical Order | Set 1
- Print a Binary Tree in Vertical Order | Set 2 (Map based Method)
- Find maximum (or minimum) in Binary Tree
- Find maximum among all right nodes in Binary Tree
- Find maximum level sum in Binary Tree
- Find the maximum node at a given level in a binary tree
- Find the node with maximum value in a Binary Search Tree
- Find the maximum path sum between two leaves of a binary tree
- Find maximum level product in Binary Tree
- Find the maximum sum leaf to root path in a Binary Tree
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