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LibreOJ/2234/2234.cpp
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79
LibreOJ/2234/2234.cpp
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#include <iostream>
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#include <algorithm>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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int cnt;
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long long s, ans[500005];
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int p, primes[50005];
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bool not_prime[50005];
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bool is_prime(long long x) {
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if (x < 2) return false;
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for (int i = 2; static_cast<long long>(i) * i <= x; i++) {
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if (x % i == 0) return false;
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}
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return true;
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}
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void dfs(long long now, int pos, long long sum) {
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if (now == 1) {
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ans[++cnt] = sum;
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return;
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}
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if (is_prime(now - 1) && now > primes[pos]) {
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ans[++cnt] = (now - 1) * sum;
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}
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for (int i = pos;
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static_cast<long long>(primes[i]) * primes[i] <= now;
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i++) {
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for (long long t = primes[i],
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s = t + 1;
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s <= now;
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s += t *= primes[i]) {
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if (now % s == 0) {
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dfs(now / s, i + 1, sum * t);
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}
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}
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}
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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for (int i = 2; i <= 50000; i++) {
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if (!not_prime[i]) primes[++p] = i;
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for (int j = 1; i * primes[j] <= 50000; j++) {
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not_prime[i * primes[j]] = true;
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if (i % primes[j] == 0) break;
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}
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}
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while (cin >> s) {
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cnt = 0;
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dfs(s, 1, 1);
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std::sort(ans + 1, ans + cnt + 1);
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cout << cnt << endl;
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if (cnt) {
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for (int i = 1; i <= cnt; i++) {
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cout << ans[i] << ' ';
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}
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cout << endl;
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}
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}
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return 0;
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}
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