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Cod sursa(job #922947)
#include<cstdio>
#include<vector>
#include<cmath>
#include<fstream>
using namespace std;
#define LIM 1000001
#define MOD 9973
#define pb push_back
int T , nr , s , pu ;
long long d;
long long N;
vector<int>p;
bool v[LIM];
void ciur();
long long pow(int a , int b);
int main()
{
ciur();
ifstream f("ssnd.in");
ofstream g("ssnd.out");
f>>T;
for( int i = 1 ; i <= T ; ++i )
{
f>>N;
nr = 1;
s = 1;
for(int j = 0 ; j < (int)p.size() && 1ll*p[j]*p[j] <= N; ++j)
{
pu = 1;
while(N%p[j]==0)
N/=p[j],pu++;
nr*=pu;
s=(1ll*s*(pow(p[j],pu)-1)/(p[j]-1))%MOD;
}
if(N>1){
nr*=2;
s=(1ll*s*((N*N-1)/(N-1)))%MOD;}
g<<nr<<" "<<s<<"\n";
}
return 0;
}
void ciur()
{
p.pb(2);
for(int i = 3 ; i <= LIM ; i+=2 )
{
if(v[i])continue;
p.pb(i);
for(int j = i+i+i ; j <= LIM ; j+= i<<1 )
v[j] = 1;
}
}
long long pow(int a , int b)
{
long long rez = 1 , n = a;
for(int i = 0 ; (1<<i) <= b ; ++i )
{
if((1<<i)&b)
rez*=n;
n*=n;
}
return rez;
}