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Cod sursa(job #402334)
#include <fstream>
using namespace std;
const int MAX_N = 1000005;
const int MOD = 9973;
ifstream fin ("ssnd.in");
ofstream fout ("ssnd.out");
long long N;
int T, P[MAX_N], K;
char viz[MAX_N];
void ciur()
{
for(int i = 2; i < MAX_N; ++i)
if(viz[i] == 0)
{
P[++K] = i;
for(int j = i+i; j < MAX_N; j += i)
viz[j] = 1;
}
}
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 = 1; 1LL * P[i] * P[i] <= N; ++i)
{
if(N % P[i]) continue;
int p = 0, s = 1;
while(n % P[i] == 0)
n /= P[i], s *= P[i], ++p;
nd *= (p+1);
sd *= ((1LL*s*P[i] - 1) % MOD);
sd %= MOD;
sd *= pow(P[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()
{
ciur();
for(fin >> T; T; --T)
solve();
}