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Cod sursa(job #788839)
#include <cstdio>
#include <cassert>
#include <cstring>
#define Max 1000001
#define Mod 9973
int pr[80000],k;
long long n;
void ciur()
{
bool p[Max];
memset(p,0,sizeof(p));
int i=2;
while(i<=1000)
{
while(p[i])i++;
for(int j=i*i;j<Max;j+=i)p[j]=1;
i++;
}
for(int i=2;i<Max;i++)
if(p[i]==0)pr[++k]=i;
}
void desc(long long x)
{
long long s=1,p;
int d,nr=1,i=1;
while(i<=k && pr[i]*pr[i]<=n)
{
if(n%pr[i]==0)
{
d=0; p=pr[i];
while(n%pr[i]==0)
{
p*=pr[i];
d++;
n/=pr[i];
}
nr*=(d+1);
s=s*((p-1)/(pr[i]-1))%Mod;
}
i++;
}
if(n!=1)
{
nr*=2;
s=s*((n*n-1)/(n-1))%Mod;
}
printf("%d %lld\n",nr,s);
}
int main()
{
int t;
freopen("ssnd.in","r",stdin);
freopen("ssnd.out","w",stdout);
ciur();
scanf("%d",&t);
while(t--)
{
scanf("%lld",&n);
desc(n);
}
return 0;
}