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Cod sursa(job #405667)
#include<vector>
#include<fstream>
#include<cstdlib>
#define Modulo 9901
/*
*
*/
using namespace std;
typedef long long int lld;
char is_prime[1000000000/16+1];
vector< int > Prime;
void Sieve_of_Eratosthenes( lld Nmax )
{
lld i, j;
for( i=1; ((i*i)<<1)+(i<<1) <= Nmax; ++i )
if( 0 == ( is_prime[i>>3] & ( 1<<(i&7) ) ) )
for( j=((i*i)<<1)+(i<<1); (j<<1)+1 <= Nmax; j+=(i<<1)+1 )
is_prime[j>>3]|=( 1<<(j&7) );
Prime.push_back(2);
for( i=1; (i<<1)+1 <= Nmax; ++i )
if( 0 == ( is_prime[i>>3] & (1<<(i&7)) ) )
Prime.push_back( (i<<1)+1 );
Prime.push_back(100003);
}
inline lld pow( lld x, lld n ) //x^n
{
if( 2 == x )
return (1<<n);
lld r=1;
for( ; n; n>>=1 )
{
if( n&1 )
r*=x;
x*=x;
}
return r;
}
int main( void )
{
lld A, B, s, nr, i, j;
ifstream in( "sumdiv.in" );
ofstream out( "sumdiv.out" );
in>>A>>B;
A=pow( A, B );
Sieve_of_Eratosthenes( pow( A, (B+1)/2 )+1 );
s=nr=1;
for( i=0; 1LL*Prime[i]*Prime[i] <= A; ++i )
if( 0 == A%Prime[i] )
{
for( j=0; 0 == A%Prime[i]; ++j, A/=Prime[i] );
nr=( nr*j+nr )%Modulo;
s=( s * ( pow( Prime[i], j+1 )-1 )/(Prime[i]-1) )%Modulo;
}
if( A > 1 )
{
nr*=2;
s=( s * ( A+1 ) )%Modulo;
}
out<<s<<'\n';
return 0;
}