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OI-codes/NFLSOJ/13339/13339.cpp

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// #include <iostream>
#include <algorithm>
#include <cmath>
#include <fstream>
#include <utility>
#include <vector>
// using std::cin;
// using std::cout;
std::ifstream cin("original.in");
std::ofstream cout("original.out");
const char endl = '\n';
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
long long n, p;
std::vector<std::pair<long long, int>> res;
cin >> n >> p;
for (long long i = 2; std::pow(i, 3) <= n; i++) {
if (n % i == 0) {
int cnt = 0;
p = p / (i - 1) * i;
while (n % i == 0) {
n /= i;
cnt++;
p /= i;
}
res.emplace_back(i, cnt);
}
}
if (n == 1) {
} else if (p == n - 1) {
res.emplace_back(n, 1);
} else if (std::pow(n - p, 2) == n) {
res.emplace_back(n - p, 2);
} else {
long long a = n - 1 - p,
delta = sqrt(a * a - 4 * p);
res.emplace_back((a - delta) / 2 + 1, 1);
res.emplace_back((a + delta) / 2 + 1, 1);
}
for (auto e : res) {
while (e.second--) {
cout << e.first << endl;
}
}
return 0;
}