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CRB and Tree

Time Limit
4s
Memory Limit
65536KB
Judge Program
Standard
Ratio(Solve/Submit)
100.00%(1/1)
Description:

CRB has a tree, whose vertices are labeled by 1, 2, …, N. They are connected by N – 1 edges. Each edge has a weight.
For any two vertices u and v(possibly equal), f(u,v) is xor(exclusive-or) sum of weights of all edges on the path from u to v.
CRB’s task is for given s, to calculate the number of unordered pairs (u,v) such that f(u,v) = s. Can you help him?

Input:

There are multiple test cases. The first line of input contains an integer T, indicating the number of test cases. For each test case:
The first line contains an integer N denoting the number of vertices.
Each of the next N - 1 lines contains three space separated integers ab and c denoting an edge between a and b, whose weight is c.
The next line contains an integer Q denoting the number of queries.
Each of the next Q lines contains a single integer s.
1 ≤ T ≤ 25
1 ≤ N ≤ 105
1 ≤ Q ≤ 10
1 ≤ ab ≤ N
0 ≤ cs ≤ 105
It is guaranteed that given edges form a tree.

Output:

For each query, output one line containing the answer.

Sample Input:
1
3
1 2 1
2 3 2
3
2
3
4
Sample Output:
1
1
0
Hint:

For the first query, (2, 3) is the only pair that f(u, v) = 2.For the second query, (1, 3) is the only one.For the third query, there are no pair (u, v) such that f(u, v) = 4.

Source:

2015 Multi-University Training Contest 10


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