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Given a binary tree containing values all greater than zero (not necessarily a EST or an inverted ordering tree}

Computer Science

Given a binary tree containing values all greater than zero (not necessarily a EST or an inverted ordering tree}. design and Implement an EFFICIENT algorithm to find the mulmum product of all values of any subtree that Is an inverted ordering tron. Pseudocode or Java is fine to describe your algorithm. Example: 0,0 00 coo All the yellow nod es are roots of a Inverted ordering tree. Oi all the products of nodes In a tree. the node that Is pointed by the red arrow has the maximum product 3 ‘ 2 ‘ 1 = 6. Part B. Give a tight Big 0 running time bound on the worst case of the algorithm you do above in terms of N where is isnumber of nodes in original tree.

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