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Cod sursa(job #405677)
#include <vector>
#include <fstream>
#include <cstdlib>
#define Modulo 9901
#define Nmax 50000000
/*
*
*/
using namespace std;
typedef long long int lld;
char is_prime[Nmax];
vector< int > Prime;
inline lld pow( lld x, lld 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 s=1;
int A, B, N, i, j;
ifstream in( "sumdiv.in" );
in>>A>>B;
if( A <= 1 || 0 == B )
{
ofstream out( "sumdiv.out" );
out<<'1';
return 0;
}
if( 2 == A )
{
ofstream out( "sumdiv.out" );
out<<( (1<<(B+1) )-1 )%Modulo;
return 0;
}
for( i=1; ((i*i)<<1)+(i<<1) <= A; ++i )
if( 0 == ( is_prime[i>>3] & ( 1<<(i&7) ) ) )
for( j=((i*i)<<1)+(i<<1); (j<<1)+1 <= A; j+=(i<<1)+1 )
is_prime[j>>3]|=( 1<<(j&7) );
Prime.push_back(2);
for( i=1; (i<<1)+1 <= A; ++i )
if( 0 == ( is_prime[i>>3] & ( 1<<(i&7) ) ) )
Prime.push_back( (i<<1)+1 );
N=Prime.size();
for( i=0; i < N && Prime[i]*Prime[i] <= A; ++i )
if( 0 == A%Prime[i] )
{
for( j=0; 0 == A%Prime[i]; ++j, A/=Prime[i] );
s=( s * ( pow( 1LL*Prime[i], 1LL*(j*B+1) ) - 1 )/( Prime[i]-1 ) )%Modulo;
}
if( A > 1 )
s=( s * ( pow( 1LL*A, 1LL*(B+1) ) - 1 )/( A-1 ) )%Modulo;
ofstream out( "sumdiv.out" );
out<<s;
return 0;
}