Problem Description
We know the Fibonacci Sequence
F1=1,F2=1,F3=2,F4=3,F5=5,
...
Fx = Fx-1+Fx-2
We want to know the Mth number which has K consecutive "0" at the end of Fx.
For example,
F15=610
It is the first number which has only one "0" at the end.
F300=222232244629420445529739893461909967206666939096499764990979600.
It is the second number which has two "0" at the end.
Of course, the Fx may be very large if M and K are big. So we only want to know the subscript of Fx (it means the "x" For a given M and K)
Input
Input includes multiple cases.
First line is the number of case x
The next x lines: Each line contains two integer number, K and M, divided by a space.
Output
For each case:
Print a integer number in a line, is the Mth number which has K consecutive 0s at the end of Fx. (You can believe the answer is smaller than 2^31);
Sample Input
3
1 1
2 2
2 5
Sample Output
15
300
900