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Cod sursa(job #970170)
#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) { int rez = 1; x %= MOD; for(; p; p >>= 1) { if(p & 1) { rez *= x; rez %= MOD; } x *= x; x %= MOD; } return rez;} 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; 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); } fout << nd << " " << sd << "\n";} int main() { ciur(); for(fin >> T; T; --T) solve();}