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CSES Problem Set

Exponentiation


Task | Statistics


CSES - Exponentiation

Time limit:1.00 s Memory limit:512 MB

Your task is to efficiently calculate values $a^b$ modulo $10^9+7$.

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 value $a^b$ modulo $10^9+7$.

Constraints
Example

Input:
3
3 4
2 8
123 123


Output:
81
256
921450052