Pagini recente » Cod sursa (job #565864) | Cod sursa (job #2868445) | Cod sursa (job #124594) | Cod sursa (job #3229529) | Cod sursa (job #481587)
Cod sursa(job #481587)
#include <fstream>
#include <bitset>
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, K, P[MAX_N];
bitset <MAX_N> viz;
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) {
long long ans = 1;
for (int i = 30; i >= 0; -- i)
ans = ((p >> i) & 1) ? (ans * ans * x) % MOD : (ans * ans) % MOD;
return (int) ans;
}
void solve() {
fin >> 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, s = 1;
while(N % P[i] == 0) {
N /= P[i];
s *= P[i];
s %= MOD;
++p;
}
nd *= (p+1);
int p1 = (s*P[i] - 1) % MOD;
if(p1 < 0) p1 += MOD;
int p2 = pow(P[i]-1, MOD-2) % MOD;
if(p2 < 0) p2 += MOD;
sd = (((sd * p1) % MOD) * p2) % MOD;
}
if(N > 1) {
nd *= 2;
sd = (1LL*sd*(N+1) % MOD);
}
fout << nd << " " << sd << "\n";
}
int main() {
ciur();
for(fin >> T; T; --T)
solve();
}