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Cod sursa(job #405567)
#include <algorithm>
#include <vector>
#include <bitset>
using namespace std;
#define pb push_back
#define MAX 1000005
#define MOD 9973
vector <int> prim;
bitset <MAX> viz;
long long n;
int t,nd,sd;
void ciur ()
{
int i,j;
for (i=2; i<MAX; ++i)
if (!viz[i])
{
prim.pb (i);
for (j=i; j<MAX; j+=i)
viz[j]=1;
}
}
int lgput (int n,int p)
{
int rez;
for (rez=1; p; p>>=1)
{
if (p&1)
rez=(rez*n)%MOD;
n=(n*n)%MOD;
}
return rez;
}
void solve ()
{
int i,exp;
nd=sd=1;
for (i=0; (long long)prim[i]*prim[i]<=n; ++i)
if (n%prim[i]==0)
{
for (exp=0; n%prim[i]==0; n/=prim[i])
++exp;
nd=(nd*(exp+1))%MOD;
sd=((sd*(lgput (prim[i],exp+1)+MOD-1))%MOD*lgput (prim[i]-1,MOD-2))%MOD;
}
if (n>1)
{
nd=(nd*2)%MOD;
sd=((sd*(lgput (n,2)+MOD-1))%MOD*lgput (n-1,MOD-2))%MOD;
}
printf ("%d %d\n",nd,sd);
}
int main ()
{
freopen ("ssnd.in","r",stdin);
freopen ("ssnd.out","w",stdout);
int i;
ciur ();
scanf ("%d",&t);
for (i=1; i<=t; ++i)
{
scanf ("%lld",&n);
solve ();
}
return 0;
}