Problem Description

Alice has a lot of math homework to do today.
All the problems have the same form:
Please find out:

　　However Alice is not interested at the homework at all. Can you write a program to help
her?(As the answer may be very large,you should only work out the ans mod 1000000007).

Input

The first line of the input contains an integer T which means the number of test cases. Then T lines follow, each line consists of six non-negative integers, a; b; c; n; k; k′.
a, b, c, n ≥ 0 and fit in 32-bit signed number
k + k′≤ 10

Output

For each case, you should output one line contains an integer, the answer to the problem.

1
2 0 1 3 1 1

10

Hint

We amuse that 0 ^ 0=1