Algorithms & Data Structures

Given a undirected tree with N nodes and N – 1 edges rooted at node 1.We are given Q queries of type :uv, where we need to find the maximum node value among nodes present in the simple path between node u and v.ExampleIf N = 5, edge = {(1,2),(1,5),(1,4),(3,5)], Q = 2.• If query 1 is 13. Then simple path between node 1 and 3 is 1-5 -3. Maximum value node on simple path is 5.• If query 2 is 12. Then simple path between node 1 and 2 is 1-2. Maximum value node on simple path is 2.Function DescriptionComplete the maxNode function provided in the editor. This function takes the following 4 parameters and returns an array denoting answer forqueriesN: Represents the number of nodes in tree.• edge : Represents the edges present in tree.• Q: Represents the number of queries in tree.query : Represents the queries in form of 2 space separated integers.Input :1. First line contain integer N, denoting number of nodes in tree.2. Next N – 1 lines contain two space separated integers u v, denoting an edge between node u and v.3. Next line contain integer Q, denoting number of queries.4. Next Q lines contain two space separated integers u,v denoting queryConstraints : 2 <= N <= 10000 1 <= Q <= 100000Output : For each query, print the maximum value node on a simple path between two nodes.

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