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Cod sursa(job #402332)
#include <fstream>
using namespace std;
const int MOD = 9973;
ifstream fin ("ssnd.in");
ofstream fout ("ssnd.out");
long long N;
int T;
inline int pow(int x, int p)
{
int rez = 1;
x %= MOD;
for(; p; p >>= 1)
{
if(p & 1)
rez *= x,
rez %= MOD;
x *= x;
x %= MOD;
}
return rez % MOD;
}
void solve()
{
fin >> N;
int nd = 1, sd = 1;
long long n = N;
for(int i = 2; 1LL * i * i <= N; ++i)
{
if(N % i) continue;
int p = 0, s = 1;
while(n % i == 0)
n /= i, s *= i, ++p;
nd *= (p+1);
sd *= ((1LL*s*i - 1) % MOD);
sd %= MOD;
sd *= pow(i-1, MOD-2);
sd %= MOD;
}
if(n > 1)
{
nd *= 2;
sd *= ((1LL*n*n - 1) % MOD);
sd %= MOD;
sd *= pow(n-1, MOD-2);
sd %= MOD;
}
fout << nd << " " << sd << "\n";
}
int main()
{
for(fin >> T; T; --T)
solve();
}