Submission #1089167

#TimeUsernameProblemLanguageResultExecution timeMemory
1089167agawronBank (IZhO14_bank)C++17
100 / 100
95 ms16872 KiB
#include<bits/stdc++.h>

using namespace std;

#define vi vector <int>
#define pb push_back

const int MAX_N = 21;

int n, m;

vi people(MAX_N);
vi banknotes(MAX_N);

vi people_cov(1 << MAX_N, -1);
vi leftover(1 << MAX_N, -1);

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> m;

    for(int i = 0; i < n; i++){
        cin >> people[i];
    }

    for(int i = 0; i < m; i++){
        cin >> banknotes[i];
    }

    people_cov[0] = 0;
    leftover[0] = 0;

    for(int s = 0; s < (1 << m); s++){
        for(int last = 0; last < m; last++){
            if((s & (1 << last)) == 0) continue;

            int prev = (s & ~(1 << last));

            if(people_cov[prev] == -1) continue;

            int new_amt = leftover[prev] + banknotes[last];
            int curr_target = people[people_cov[prev]];

            if(new_amt < curr_target){
                people_cov[s] = people_cov[prev];
                leftover[s] = new_amt;
            }

            if(new_amt == curr_target){
                people_cov[s] = people_cov[prev] + 1;
                leftover[s] = 0;
            }
        }

        if(people_cov[s] == n){
            cout << "YES\n";
            return 0;
        }
    }

    cout << "NO\n";
}
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