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Cod sursa(job #756710)
#include<fstream>
#define mod 9901
#define ll long long
using namespace std;
ifstream fin("sumdiv.in");
ofstream fout("sumdiv.out");
long long A, B, S;
long long put(ll a, ll b)
{
if(!b) return 1;
if(b % 2)
return (a * put(a,b - 1)) % mod;
long t = put(a, b/2) % mod;
return (t * t) %mod;
}
long long desc(ll x, ll nr)
{
nr *= B;
ll aux1 = (put(x, nr + 1) - 1+ mod ) % mod;
ll aux2 = put(x - 1, mod - 2) % mod;
return (aux1 * aux2) %mod;
}
void read()
{
S = 1;
fin >>A>>B;
if(A % mod ==0 || A == 1|| B == 0 )
{
fout<< 1; return ;
}
if( A == 0)
{
fout<< 0 ; return ;
}
for(int i = 2; i * i <= A and A > 1 ; ++i)
{
if(A % i == 0)
{
ll nr = 0;
while(A % i == 0 && A > 1)
A /= i, ++nr;
if(i % mod == 1){
S = S * (nr * B + 1)% mod;
continue;
}
long long K = desc(i, nr) %mod;
S = (S * K )% mod;
}
}
//fout << put( 2, 10) ;
if(A != 1)
S = (S * desc(A, 1)) % mod;
fout <<S;
}
int main()
{
read();
fin.close();
return 0;
}