Submission #974753

#	Time	Username	Problem	Language	Result	Execution time	Memory
974753		AdamGS	Cutting a rectangle (LMIO18_staciakampis)	C++17	100 / 100	217 ms	30308 KiB

staciakampis

#include<bits/stdc++.h>
using namespace std;
typedef long double ld;
typedef long long ll;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
set<pair<ll,ll>>A, B;
vector<ll>ans;
map<ll,ll>mp;
ll sum;
bool solve(ll x, ll y) {
  if(x<y) swap(x, y);
  if(y==0) return true;
  auto it=B.end(); --it;
  auto p=*it;
  it=A.end(); --it;
  auto q=*it;
  if(p.st>y || q.st>x) return false;
  if(p.st==y) {
    B.erase(p);
    A.erase({p.nd, p.st});
    bool xd=solve(x-p.nd, y);
    B.insert(p);
    A.insert({p.nd, p.st});
    return xd;
  }
  if(q.st==x) {
    A.erase(q);
    B.erase({q.nd, q.st});
    bool xd=solve(x, y-q.nd);
    A.insert(q);
    B.insert({q.nd, q.st});
    return xd;
  }
  it=A.lower_bound({y, -1});
  if(it==A.end()) return false;
  auto r=*it;
  if(r.st!=y) return false;
  A.erase(r);
  B.erase({r.nd, r.st});
  bool xd=solve(x-r.nd, y);
  A.insert(r);
  B.insert({r.nd, r.st});
  return xd;
}
void check(ll x) {
  if(sum%x!=0) return;
  x=min(x, sum/x);
  if(mp.find(x)!=mp.end()) return;
  mp[x]=1;
  if(solve(x, sum/x)) ans.pb(x);
}
int main() {
  ios_base::sync_with_stdio(0); cin.tie(0);
  ll k;
  cin >> k;
  vector<pair<ll,ll>>T(k);
  rep(i, k) {
    cin >> T[i].nd >> T[i].st;
    sum+=T[i].st*T[i].nd;
    A.insert({T[i].nd, T[i].st});
    B.insert(T[i]);
  }
  sort(all(T));
  check(T[k-1].st);
  rep(i, k) if(T[i].nd>T[k-1].st) check(T[i].nd);
  if(ans.size()==0) {
    cout << 0 << '\n';
    return 0;
  }
  sort(all(ans));
  vector<ll>P;
  P.pb(ans[0]);
  for(auto i : ans) if(P.back()!=i) P.pb(i);
  cout << P.size() << '\n';
  for(auto i : P) cout << i << '\n';
}

• Subtask 1: 25 / 25
• Subtask 2: 20 / 20
• Subtask 3: 55 / 55