# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
537997 | | kym | Toys (CEOI18_toy) | C++14 | | 1139 ms | 262144 KiB |
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;
#define int ll
#define FOR(i,s,e) for(ll i = s; i <= (ll)e; ++i)
#define DEC(i,s,e) for(ll i = s; i >= (ll)e; --i)
#define IAMSPEED ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
#define db(x) cerr << #x << "=" << x << "\n"
#define db2(x, y) cerr << #x << "=" << x << " , " << #y << "=" << y << "\n"
#define db3(a,b,c) cerr<<#a<<"="<<a<<","<<#b<<"="<<b<<","<<#c<<"="<<c<<"\n"
#define dbv(v) cerr << #v << ":"; for (auto ite : v) cerr << ite << ' '; cerr <<"\n"
#define dbvp(v) cerr << #v << ":"; for (auto ite : v) cerr << "{" << ite.f << ',' << ite.s << "} "; cerr << "\n"
#define dba(a,ss,ee) cerr << #a << ":"; FOR(ite,ss,ee) cerr << a[ite] << ' '; cerr << "\n"
#define reach cerr << "LINE: " << __LINE__ << "\n";
#else
#define db(x)
#define db2(x,y)
#define db3(a,b,c)
#define dbv(v)
#define dbvp(v)
#define dba(a,ss,ee)
#define reach
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define ll long long
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define f first
#define s second
#define g0(x) get<0>(x)
#define g1(x) get<1>(x)
#define g2(x) get<2>(x)
#define g3(x) get<3>(x)
typedef pair <ll, ll> pi;
typedef tuple<ll,ll,ll> ti3;
typedef tuple<ll,ll,ll,ll> ti4;
ll rand(ll a, ll b) { return a + rng() % (b-a+1); }
const int MOD = 1e9 + 7;
const int inf = (int)1e9 + 500;
const long long oo = (ll)1e18 + 500;
template <typename T> void chmax(T& a, const T b) { a=max(a,b); }
template <typename T> void chmin(T& a, const T b) { a=min(a,b); }
const int MAXN = -1;
int n;
set<multiset<int> > B[40];
vector<int> factors;
vector<int> primeList;
bool isPrime(long long N) {
if (N <= 1) return 0;
if (N <= 3) return N > 0; // Only 2 is prime.
else if ((N % 2 == 0) || (N % 3 == 0)) return false;
int i = 5;
while ((i * i) <= N){
if ((N % i == 0) || ((N % (i + 2)) == 0)) return false;
i += 6;
}
return true;
}
vector<int> primeFactorize(int X) {
vector<int> result;
for (auto it = primeList.begin(); it != primeList.end(); ++it) {
if (*it > X/(*it)) break;
while (X % *it == 0) {
X /= *it;
result.push_back(*it);
}
}
if (X != 1) result.push_back(X); //The last factor above sqrt(X)
return result;
}
int32_t main()
{
IAMSPEED
cin >> n;
if(n==1)return cout << "1\n0",0;
FOR(i,2,sqrt(n) + 1)if(isPrime(i))primeList.pb(i);
factors = primeFactorize(n);
multiset<int> initial; initial.insert(factors[0]);
B[0].insert(initial);
FOR(i,1,factors.size()-1) {
for(auto ss:B[i-1]) { //this set
for(auto x: ss) {
int y = factors[i] * x;
multiset<int> ns =ss ;
ns.erase(ns.find(x));
ns.insert(y);
B[i].insert(ns);
}
multiset<int> ns = ss;
ns.insert(factors[i]);
B[i].insert(ns);
}
}
set<int> os;
for(auto grp:B[factors.size()-1]) {
int out = 0;
for(auto x:grp)out+=x-1;
os.insert(out);
}
cout << os.size() << '\n';
for(auto i:os)cout<<i<<' ';
}
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