Submission #945341

#TimeUsernameProblemLanguageResultExecution timeMemory
945341nguyennhBank (IZhO14_bank)C++17
100 / 100
738 ms12832 KiB
#include<bits/stdc++.h>
#define el '\n'
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std ;

mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());

int a[22] , b[22] , n , m;

namespace sub_final{
  void solve(){
    vector<vector<int>> pre_mask(n);
    for ( int i = 0 ; i < n ; i++ ){
      for ( int mask = 0 ; mask < (1 << m) ; mask++ ){
        int sum = 0;
        for ( int j = 0 ; j < m ; j++ ) sum += ((mask >> j & 1) ? b[j] : 0);
        if (sum == a[i]) pre_mask[i].push_back(mask);
      }
    }
    unordered_set<int> store;
    bool satis = true;
    for ( int i = 0 ; i < n ; i++ ){
      if (i == 0){
        for ( auto x : pre_mask[i] ) store.insert(x);
        if (store.empty()){
          satis = false;
          break;
        }
        continue;
      }
      if (store.empty()){
        satis = false;
        break;
      }
      unordered_set<int> cur;
      for ( auto j : store ){
        for ( auto mask : pre_mask[i] ){
          if (mask & j) continue;
          else cur.insert(j | mask);
        }
      }
      if (cur.empty()){
        satis = false;
        break;
      }
      swap(store , cur);
    }
    cout << (satis ? "YES" : "NO");
  }
}

int32_t main (){
  ios_base::sync_with_stdio(0);
  cin.tie(0);
//  freopen("izho_bank.inp" , "r" , stdin);
//  freopen("izho_bank.out" , "w" , stdout);
  cin >> n >> m;
  for ( int i = 0 ; i < n ; i++ ) cin >> a[i];
  for ( int i = 0 ; i < m ; i++ ) cin >> b[i];
  sub_final::solve();
}
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