#include <cstdio>
#include <vector>
#include <cmath>
using namespace std;
vector<int> allDivisors(int n) {
vector<int> v;
int sn = sqrt(n);
for (int i = 1; i <= sn; i++) {
if (n % i == 0) {
v.push_back(i);
if (i * i != n) {
v.push_back(n / i);
}
}
}
return v;
}
int getPQs(int n) {
int pqs = 0;
int sn = sqrt(n);
int p, q;
for (int i = 2; i <= sn; i++) {
if (n % i == 0) {
p = i;
q = n / i - 1;
if (p >= 2 && q >= 2) ++pqs;
if (i * i == n) continue;
p = n / i;
q = i - 1;
if (p >= 2 && q >= 2) ++pqs;
}
}
return pqs;
}
int main() {
int n;
scanf("%i", &n);
vector<int> divisors = allDivisors(n);
int N = 0;
for (auto a : divisors) {
int m = (n - a) / a;
if (m < 6) continue;
N += getPQs(m);
}
printf("%i\n", N);
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 | #include <cstdio> #include <vector> #include <cmath> using namespace std; vector<int> allDivisors(int n) { vector<int> v; int sn = sqrt(n); for (int i = 1; i <= sn; i++) { if (n % i == 0) { v.push_back(i); if (i * i != n) { v.push_back(n / i); } } } return v; } int getPQs(int n) { int pqs = 0; int sn = sqrt(n); int p, q; for (int i = 2; i <= sn; i++) { if (n % i == 0) { p = i; q = n / i - 1; if (p >= 2 && q >= 2) ++pqs; if (i * i == n) continue; p = n / i; q = i - 1; if (p >= 2 && q >= 2) ++pqs; } } return pqs; } int main() { int n; scanf("%i", &n); vector<int> divisors = allDivisors(n); int N = 0; for (auto a : divisors) { int m = (n - a) / a; if (m < 6) continue; N += getPQs(m); } printf("%i\n", N); return 0; } |
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