Your task is to calculate $n$ binomial coefficients modulo $10^9+7$ .
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 $0 \le b \le a$ .
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 $b$ .
Print each binomial coefficient modulo $10^9+7$ .