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Cod sursa(job #930789)
#include <fstream>
#include <bitset>
using namespace std;
const int MAX_N = 1000005;
const int MOD = 9973;
long long N;
int T, K, P[MAX_N];
bitset<MAX_N> viz;
ifstream f("ssnd.in");
ofstream g("ssnd.out");
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;
}
void sol()
{
f >> N;
int nd = 1, sd = 1;
for(int i = 1; i<= K && 1LL * P[i] * P[i] <= N; ++i)
{
if(N % P[i]) continue;
int p = 0;
while(N % P[i] == 0)
{
N /= P[i];
++p;
}
nd *= (p+1);
int p1 = (pow(P[i], p+1) - 1) % MOD;
int p2 = pow(P[i]-1, MOD-2) % MOD;
sd = (((sd * p1) % MOD) * p2) % MOD;
}
if(N > 1)
{
nd *= 2;
sd = (1LL*sd*(N+1) % MOD);
}
g << nd << " " << sd << "\n";
}
int main()
{
ciur();
for(f>>T;T;--T)
sol();
}