Description

Consider two natural numbers A and B. Let S be the sum of all natural divisors of A^B. Determine S modulo 9901 (the rest of the division of S by 9901).

Input

The only line contains the two natural numbers A and B, (0 <= A,B <= 50000000)separated by blanks.

Output

The only line of the output will contain S modulo 9901.

2 3

15

Hint

2^3 = 8.

The natural divisors of 8 are: 1,2,4,8. Their sum is 15. 15 modulo 9901 is 15 (that should be output).

Source

Romania OI 2002