You are given a tree of N nodes rooted at node 1 and each node has a value where value of i'th node is A₁. You're given Q queries, in each query two integers x, k given. Find if possible such that all nodes in the subtree of node a (including x) has values greater than or equal to k by performing swapping of two nodes any number of times. You can swap two nodes u and v such that u belongs to subtree of a (including x) and v does not. If possible then find minimum number of swapping of nodes required otherwise print -1. Note: Since the queries are independent, the initial tree is retained after each query. Input format • The first line contains T denoting the number of test cases. The description of each test case is as follows. o The first line contains an integer N denoting the number of nodes in tree. o Next line contains space-separated integers denoting value of each node. o Each of the following N-1 lines contain two integers u and v denoting edge between nodes u and V. o The next line contains a single integer Q- the number of queries. o Next Q lines contain two space-separated integers x, k. Output format For query print the answer in a new line.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
You are given a tree of N nodes rooted at node 1 and each node has a value where value of i'th node is A₁.
You're given Q queries, in each query two integers x, k given. Find if possible such that all nodes in the subtree
of node a (including x) has values greater than or equal to k by performing swapping of two nodes any number
of times. You can swap two nodes u and v such that u belongs to subtree of x (including x) and v does not. If
possible then find minimum number of swapping of nodes required otherwise print -1.
Note: Since the queries are independent, the initial tree is retained after each query.
Input format
• The first line contains T denoting the number of test cases. The description of each test case is as follows.
o The first line contains an integer N denoting the number of nodes in tree.
o Next line contains space-separated integers denoting value of each node.
o Each of the following N- 1 lines contain two integers u and v denoting edge between nodes u and
V.
o The next line contains a single integer Q- the number of queries.
o Next Q lines contain two space-separated integers x, k.
Output format
For query print the answer in a new line.
Transcribed Image Text:You are given a tree of N nodes rooted at node 1 and each node has a value where value of i'th node is A₁. You're given Q queries, in each query two integers x, k given. Find if possible such that all nodes in the subtree of node a (including x) has values greater than or equal to k by performing swapping of two nodes any number of times. You can swap two nodes u and v such that u belongs to subtree of x (including x) and v does not. If possible then find minimum number of swapping of nodes required otherwise print -1. Note: Since the queries are independent, the initial tree is retained after each query. Input format • The first line contains T denoting the number of test cases. The description of each test case is as follows. o The first line contains an integer N denoting the number of nodes in tree. o Next line contains space-separated integers denoting value of each node. o Each of the following N- 1 lines contain two integers u and v denoting edge between nodes u and V. o The next line contains a single integer Q- the number of queries. o Next Q lines contain two space-separated integers x, k. Output format For query print the answer in a new line.
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