- Time limit: 1.00 s
- Memory limit: 512 MB
A binomial coefficient ${a \choose b}$ can be calculated using the formula $\frac{a!}{b!(a-b)!}$. We assume that $a$ and $b$ are integers and $0 \le b \le a$.
Input
The first input line contains an integer $n$: the number of calculations.
After this, there are $n$ lines, each of which contains two integers $a$ and $b$.
Output
Print each binomial coefficient modulo $10^9+7$.
Constraints
- $1 \le n \le 10^5$
- $0 \le b \le a \le 10^6$
Input:
3
5 3
8 1
9 5
Output:
10
8
126