Submission #948885

#	Time	Username	Problem	Language	Result	Execution time	Memory
948885		tnknguyen_	Bank (IZhO14_bank)	C++14	100 / 100	103 ms	17236 KiB

bank

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n' 
#define MASK(k) (1LL<<k)
#define pii pair<int, int>

int n, m;
int a[30], b[30];

// ------------ SUBTASKS ------------
namespace SUB1{
    bool ok(){
        return (n == 1);
    }

    void solve(){
        vector<int> f(1e3+5, 0);    
        f[0] = 1;
        for(int i=1; i<=m; ++i){
            for(int j=a[1]; j>=b[i]; --j){
                f[j] |= f[j - b[i]];
            }
        }

        cout<<(f[a[1]] ? "YES" : "NO");
        
        //-----------------------------
        exit(0);
    }
}

int v[21][MASK(21)];
int f[21][MASK(21)];
namespace SUB23{
    bool ok(){
        return (m <= 14);
    }

    void solve(){
        for(int i=0; i<MASK(m); ++i){
            int sum = 0;
            for(int j=i; j!=0; j-=(j&-j)){
                sum += b[__lg((j&-j)) + 1];
            }
            for(int j=1; j<=n; ++j){
                if(a[j] == sum){
                    v[j][i] = 1;
                }
            }
        }

        f[0][0] = 1;
        int fl = 1;
        for(int i=1; i<=n; ++i){
            int b = 0;
            for(int y=0; y<MASK(m); ++y){
                if(f[i-1][y] == 1){
                    for(int x=0; x<MASK(m); ++x){
                        if((x & y) == 0 && v[i][x] == 1){
                            f[i][x | y] = 1;
                            b = 1;
                        }
                    }
                }
            }
            if(!b){
                fl = 0;
                break;
            }
        }
        cout<<(fl ? "YES" : "NO");
        
        //-----------------------------
        exit(0);
    }
}

pii g[MASK(21) + 5];
namespace SUB4{
    void solve(){
        for(int i=0; i<MASK(m); ++i){
            g[i] = {0, 0};
        }
        int ans = 0;
        for(int i=0; i<MASK(m); ++i){
            int k = g[i].first, w = g[i].second;
            for(int j=0; j<m; ++j){
                if((MASK(j) & i)){
                    continue;
                }
                int msk = (i | MASK(j));
                pii nxt = {k, w + b[j+1]};
                if(w + b[j+1] == a[k+1]){
                    nxt = {k+1, 0};
                }
                g[msk] = (nxt.first > g[msk].first ? nxt : g[msk]); //take pair with larger first value.
                g[msk] = max(g[msk], nxt);
            }
            ans = max(ans, g[i].first);
        }

        cout<<(ans >= n ? "YES" : "NO");
        //-----------------------------
        exit(0);
    }
}

int32_t main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    //freopen("main.inp","r",stdin);
    //freopen("main.out","w",stdout);

    //f[mask][i] = 
    cin>>n>>m;
    for(int i=1; i<=n; ++i){
        cin>>a[i];
    }
    for(int j=1; j<=m; ++j){
        cin>>b[j];
    }

    // if(SUB1::ok()){
    //     SUB1::solve();
    // }
    // if(SUB23::ok()){
    //     SUB23::solve();
    // }
    SUB4::solve();

    return 0;
}

• Subtask 1: 19 / 19
• Subtask 2: 25 / 25
• Subtask 3: 27 / 27
• Subtask 4: 29 / 29