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Cod sursa(job #764319)
#include<stdio.h>
#include<stdlib.h>
#include<math.h>
#define mod 9973
bool a[1090001];
long long int p[708499],k=0;
using namespace std;
void ciur()
{
for(int i=2;i<=1090000;i++)
if(a[i]==false)
{
p[++k]=i;
for(int j=i+i;j<=1090000;j+=i)
a[j]=true;
}
}
long long int putere(int baza, int exp)
{
long long int rez=1;
while(exp)
{
if(exp%2)
rez*=baza;
baza*=baza;
exp/=2;
}
return rez;
}
int main()
{
long long int t,x,s,nr,d,n,ok;
ciur();
freopen("ssnd.in","r",stdin);
freopen("ssnd.out","w",stdout);
scanf("%lld", &t);
while(t--)
{
ok=1;
s=nr=1;
scanf("%lld",&x);
if(a[x]==0 && x!=1)
{
printf("2 %lld",(x+1)%mod);
ok=0;
}
n=sqrtl( double(x));
for(int i=1;i<=n && ok;i++)
{
d=0;
while(x%p[i]==0 && x)
{
d++;
x=x/p[i];
}
nr=(nr*(d+1))%mod;
s=(s*((putere(p[i],d+1)-1)/(p[i]-1)))%mod;
}
if(ok)
printf("%lld %lld\n",nr,s);
}
return 0;
}