#P2018. Sumdiv

Sumdiv

Time Limit: 1000MS Memory Limit: 30000K Total Submissions: 23155 Accepted: 5765 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. Sample Input 2 3 Sample Output 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