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Cod sursa(job #769065)
#include <stdio.h>
#include <math.h>
#include <vector>
#define int64 long long int
using namespace std;
vector<int64> PR;
void print_(int64 S, int64 ND) {
printf("%lld %lld\n", ND, S);
}
int64 my_pow(int64 b, int64 e) {
if (e == 0) {
return 1;
} else if (e == 1) {
return b;
}
int64 aux = my_pow(b, e/2);
if (e % 2 == 1) {
return (aux * aux * b);
} else {
return aux * aux;
}
}
void solve_(int64 nr, int64 &S, int64 &ND) {
int64 DIV_NR;
for (int i = 0; i < PR.size() && nr > 1; i++) {
if (nr % PR[i] == 0) {
DIV_NR = 0;
while (nr % PR[i] == 0) {
DIV_NR++;
nr = nr / PR[i];
}
ND *= (DIV_NR + 1);
S *= (my_pow(PR[i], DIV_NR + 1) - 1) / (PR[i] - 1);
}
}
}
void read_() {
int n;
int64 nr;
int64 S, P;
scanf("%d", &n);
for (int i = 0; i < n; i++) {
scanf("%lld", &nr);
S = 1; P = 1;
solve_(nr, S, P);
print_(S, P);
}
}
void marcheaza(int64 i, bool* bifat, int64 NMAX_P) {
for (int64 j = i; j <= NMAX_P; j += i) {
bifat[j] = true;
}
}
void getPrimes() {
int64 NMAX_P = my_pow(10, 6) + 1;
bool bifat[NMAX_P];
for (int i = 2; i <= NMAX_P; i++) {
bifat[i] = false;
}
for (int64 i = 2; i <= NMAX_P; i++) {
if (bifat[i] == false) {
marcheaza(i, bifat, NMAX_P);
PR.push_back(i);
}
}
}
int main() {
freopen("ssnd.in", "r", stdin);
freopen("ssnd.out", "w", stdout);
getPrimes();
read_();
return 0;
}