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CSES Problem Set

Binomial Coefficients


Task | Statistics


CSES - Binomial Coefficients

Time limit:1.00 s Memory limit:512 MB

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 $0 \le b \le a$.

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
Example

Input:
3
5 3
8 1
9 5


Output:
10
8
126