JZPTREE

Time Limit: 20000/10000 MS (Java/Others)

Memory Limit: 655360/655360 K (Java/Others)

Description

There is a tree,there is a life.Can you solve this problem about tree?
Here we have a tree which has n vertices.
We define dist(u, v) as the number of edges on the path from u to v.
And for each vertices u , define Eu =
Give you the tree and k.
Print Ei for every vertices(from 1 to n).(mod 10007 for convenience).

Input

The first line contains integer T(1  T  5),denote the number of the test cases.
For each test cases,the first line contains two integers n,k(1<=n<=50000, 1<=k<=500).
Then next n-1 lines,each lines contains two integer a,b(1<=a, b<=n),denote there is an edge between a, b.

Output

For each test cases,print n lines,the i-th line contains Ei.

Sample Input

1 5 3 1 2 2 3 3 4 4 5

Sample Output

100 37 18 37 100
Hint
Thank oimaster for this problem :).

Hint

zhuyuanchen520

Source

2013 Multi-University Training Contest 3

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