oj.uz

Submission #948865

# Submission time Handle Problem Language Result Execution time Memory
948865 2024-03-18T15:40:20 Z tnknguyen_ Bank (IZhO14_bank) C++14
71 / 100
 79 ms 43356 KB 
#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)];
namespace SUB4{
    void solve(){
        for(int i=0; i<MASK(m); ++i){
            g[i] = {1, 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]){
                    nxt = {k+1, 0};
                }
                g[msk] = (nxt.first > g[msk].first ? nxt : g[msk]); //take pair with larger first value.
            }
        }

        for(int i=0; i<MASK(m); ++i){
            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
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 18780 KB Output is correct
2 Correct 2 ms 14684 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 2 ms 16728 KB Output is correct
5 Correct 6 ms 24924 KB Output is correct
6 Correct 3 ms 22876 KB Output is correct
7 Correct 4 ms 14816 KB Output is correct
8 Correct 2 ms 16732 KB Output is correct
9 Correct 1 ms 10588 KB Output is correct
10 Correct 3 ms 22876 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 31064 KB Output is correct
2 Correct 3 ms 14684 KB Output is correct
3 Correct 9 ms 43356 KB Output is correct
4 Correct 4 ms 24924 KB Output is correct
5 Correct 4 ms 25060 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 3 ms 18780 KB Output is correct
8 Correct 2 ms 14684 KB Output is correct
9 Correct 6 ms 35164 KB Output is correct
10 Correct 4 ms 35164 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 3 ms 18780 KB Output is correct
11 Correct 2 ms 14684 KB Output is correct
12 Correct 1 ms 10588 KB Output is correct
13 Correct 2 ms 16728 KB Output is correct
14 Correct 6 ms 24924 KB Output is correct
15 Correct 3 ms 22876 KB Output is correct
16 Correct 4 ms 14816 KB Output is correct
17 Correct 2 ms 16732 KB Output is correct
18 Correct 1 ms 10588 KB Output is correct
19 Correct 3 ms 22876 KB Output is correct
20 Correct 6 ms 31064 KB Output is correct
21 Correct 3 ms 14684 KB Output is correct
22 Correct 9 ms 43356 KB Output is correct
23 Correct 4 ms 24924 KB Output is correct
24 Correct 4 ms 25060 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 3 ms 18780 KB Output is correct
27 Correct 2 ms 14684 KB Output is correct
28 Correct 6 ms 35164 KB Output is correct
29 Correct 4 ms 35164 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Incorrect 79 ms 17028 KB Output isn't correct
32 Halted 0 ms 0 KB -