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#include <iostream>
#include <fstream>
#include <algorithm>
using namespace std;
ifstream in("ssnd.in");
ofstream out("ssnd.out");
#define ll long long
const int valMax = 1e6 + 5;
#define mod 9973
int T,nrPrimes;
int primes[valMax];
bool notPrime[valMax];
ll pw(ll,ll);
int main() {
in>>T;
primes[++nrPrimes] = 2;
for (int i=3;i <= valMax;i += 2) {
if (notPrime[i]) {
continue;
}
primes[++nrPrimes] = i;
for (int j=3*i;j <= valMax;j += 2*i) {
notPrime[j] = true;
}
}
for (int i=1;i <= 21;++i) {
cout<<primes[i]<<' ';
}
while (T--) {
ll N;
in>>N;
ll nrDiv = 1,sumTop = 1,sumBot = 1,p;
for (int i=1; (p = primes[i]) != 0 && p*p <= N;++i) {
if (N % p != 0) {
continue;
}
int d = 0;
while (N % p == 0) {
++d;
N /= p;
}
nrDiv *= (d+1);
sumTop = (sumTop * (pw(p,d+1) + mod - 1)) % mod;
sumBot = (sumBot * (p - 1)) % mod;
}
if (N != 1) {
nrDiv *= 2;
sumTop = (sumTop * (N + 1)) % mod;
}
out<<nrDiv<<' '<<(sumTop * pw(sumBot,mod-2)) % mod<<'\n';
}
in.close();out.close();
return 0;
}
ll pw(ll base,ll exp) {
ll ans = 1;
while (exp) {
if (exp & 1) {
ans = (ans * base) % mod;
}
base = (base * base) % mod;
exp >>= 1;
}
return ans;
}