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Boring counting

Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 98304/98304 K (Java/Others)
Total Submission(s): 4396    Accepted Submission(s): 1287


Problem Description
In this problem we consider a rooted tree with N vertices. The vertices are numbered from 1 to N, and vertex 1 represents the root. There are integer weights on each vectice. Your task is to answer a list of queries, for each query, please tell us among all the vertices in the subtree rooted at vertice u, how many different kinds of weights appear exactly K times?
 

Input
The first line of the input contains an integer T( T<= 5 ), indicating the number of test cases.
For each test case, the first line contains two integers N and K, as described above. ( 1<= N <= 105, 1 <= K <= N )
Then come N integers in the second line, they are the weights of vertice 1 to N. ( 0 <= weight <= 109 )
For next N-1 lines, each line contains two vertices u and v, which is connected in the tree.
Next line is a integer Q, representing the number of queries. (1 <= Q <= 105)
For next Q lines, each with an integer u, as the root of the subtree described above.
 

Output
For each test case, output "Case #X:" first, X is the test number. Then output Q lines, each with a number -- the answer to each query.

Seperate each test case with an empty line.
 

Sample Input
1 3 1 1 2 2 1 2 1 3 3 2 1 3
 

Sample Output
Case #1: 1 1 1
 

Author
fish@UESTC_Oblivion
 

Source
 

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