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;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long ll;
#define int ll
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define pb push_back
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mispertion ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define F first
#define S second
#define getlast(s) (*s.rbegin())
#define debg cout << "OK\n"
const ld PI = 3.1415926535;
const int N = 5e2 + 2;
const int M = 7e6 + 1;
int mod = 1e9+7;
const int infi = INT_MAX;
const ll infl = LLONG_MAX;
const int P = 31;
int mult(int a, int b) {
return a * 1LL * b % mod;
}
int sum(int a, int b) {
a %= mod;
if (a + b < 0)
return a + b + mod;
if (a + b >= mod)
return a + b - mod;
return a + b;
}
ll binpow(ll a, ll n) {
if (n == 0)
return 1;
if (n % 2 == 1) {
return binpow(a, n - 1) * a % mod;
} else {
ll b = binpow(a, n / 2);
return b * b % mod;
}
}
vector<int> ds;
map<int, int> mp;
set<int> st;
void getans(int n, int cs = 0, int mx = 0){
if(cs + n - 1 <= 5e2)
return;
if(n == 1){
st.insert(cs);
return;
}
for(auto d : ds){
if(n % d == 0 && d >= mx)
getans(n / d, cs + d - 1, d);
}
}
void solve(){
int n;
cin >> n;
if(n == 1){
cout << 1 << '\n' << 0 << '\n';
return;
}
for(int i = 2; i * i <= n; i++){
if(n % i)
continue;
ds.pb(i);
if(i * i != n)
ds.pb(n / i);
}
ds.pb(n);
getans(n);
ds.pb(1);
sort(all(ds));
for(int i = 0; i < sz(ds); i++)
mp[ds[i]] = i;
int dp[sz(ds)][N];
memset(dp, 0, sizeof dp);
dp[0][0] = 1;
for(int i = 1; i < sz(ds); i++){
int x = ds[i];
vector<int> da = {};
for(auto d : ds)
if(x % d == 0)
da.pb(d);
for(int s = 0; s < N; s++){
for(auto d : da){
if(s - d + 1 < 0)
continue;
dp[i][s] |= dp[mp[x / d]][s - d + 1];
}
}
}
for(int i = 0; i < N; i++)
if(dp[sz(ds) - 1][i])
st.insert(i);
cout << sz(st) << '\n';
for(auto e : st)
cout << e << ' ';
cout << '\n';
}
signed main() {
mispertion;
int t = 1;
//cin >> t;
while(t--){
solve();
}
return 0;
}
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