This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
vector<int> d, res;
void backtrack(int val, int cur, int sum = 0) {
if (val == 1)
return res.push_back(sum), (void) 0;
if (cur == d.size()) return ;
int x = d[cur];
if (val < x) return ;
if (val == x)
return backtrack(val / x, cur + 1, sum + x - 1);
backtrack(val, cur + 1, sum);
while (val % x == 0) {
val /= x, sum += x - 1;
backtrack(val, cur + 1, sum);
}
}
signed main() {
cin.tie(0), cout.tie(0) -> sync_with_stdio(0);
int n; cin >> n;
for (int i = 2; i * i <= n; i++) {
if (n % i == 0) {
d.push_back(i);
if (n / i != i)
d.push_back(n / i);
}
}
sort(d.begin(), d.end());
backtrack(n, 0);
res.push_back(n - 1);
sort(res.begin(), res.end());
res.erase(unique(res.begin(), res.end()), res.end());
cout << res.size() << '\n';
for (auto v : res)
cout << v << ' ';
}
Compilation message (stderr)
toy.cpp: In function 'void backtrack(int, int, int)':
toy.cpp:9:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
9 | if (cur == d.size()) return ;
| ~~~~^~~~~~~~~~~
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