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Cod sursa(job #405724)
#include<vector>
#include<fstream>
#include<cstdlib>
#define Modulo 9973
#define Nmax 1000000
/*
*
*/
using namespace std;
typedef long long int lld;
char is_prime[Nmax/16+1];
vector< int > Prime;
void Sieve_of_Eratosthenes( void )
{
unsigned int 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 t, n, i, j, s, nr;
ifstream in( "ssnd.in" );
ofstream out( "ssnd.out" );
Sieve_of_Eratosthenes();
in>>t;
for( ; t; --t )
{
in>>n;
if( n%2 && n <= Nmax )
{
i=(n-1)>>1;
if( 0 == ( is_prime[i>>3] & ( 1<<(i&7) ) ) )
{
out<<"2 "<<(1+n)%Modulo<<'\n';
continue;
}
}
s=nr=1;
for( i=0; 1LL*Prime[i]*Prime[i] <= n; ++i )
if( 0 == n%Prime[i] )
{
for( j=0; 0 == n%Prime[i]; ++j, n/=Prime[i] )
s=( s*Prime[i])%Modulo;
s=(s*Prime[i])%Modulo;
s-=1;
s=( s/(Prime[i]-1) )%Modulo;
nr=( nr*j+nr )%Modulo;
}
if( n > 1 )
{
nr*=2;
s=( s * ( n+1 ) )%Modulo;
}
out<<nr<<' '<<s<<'\n';
}
return 0;
}