Given a Binary Tree having positive and negative nodes, the task is to find maximum product level in it.
Input : 4 / \ 2 -5 / \ /\ -1 3 -2 6 Output: 36 Explanation : Product of all nodes of 0'th level is 4 Product of all nodes of 1'th level is -10 Product of all nodes of 0'th level is 36 Hence maximum product is 6 Input : 1 / \ 2 3 / \ \ 4 5 8 / \ 6 7 Output : 160 Explanation : Product of all nodes of 0'th level is 1 Product of all nodes of 1'th level is 6 Product of all nodes of 0'th level is 160 Product of all nodes of 0'th level is 42 Hence maximum product is 160
Prerequisites: Maximum Width of a Binary Tree
Approach : The idea is to do level order traversal of tree. While doing traversal, process nodes of different level separately. For every level being processed, compute product of nodes in the level and keep track of maximum product.
Maximum level product is 160
Time Complexity : O(n)
Auxiliary Space : O(n)
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Improved By : SHUBHAMSINGH10