Submission #502458

#	Time	Username	Problem	Language	Result	Execution time	Memory
502458		clams	Bank (IZhO14_bank)	C++17	100 / 100	718 ms	8736 KiB

bank

#include <bits/stdc++.h>
using namespace std;
#define int long long

const int N = 20;

int n, m, a[N + 5], b[N + 5], dp[(1 << N) + 5]; /// dp[s] = maximum number of people covered with mask s of b[]
vector<int> adj[N + 5]; /// adj[j] = the masks of b[] that sum to a[j]

signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> m;
    for (int i = 0; i < n; i++) cin >> a[i];
    for (int i = 0; i < m; i++) cin >> b[i];

    for (int s = 0; s < (1 << m); s++) {
        int sum = 0;
        for (int i = 0; i < m; i++) {
            if ((s >> i) & 1) {
                sum += b[i];
            }
        }

        for (int j = 0; j < n; j++) {
            if (sum == a[j]) {
                adj[j].push_back(s);
            }
        }
    }

    dp[0] = 1;
    for (int j = 0; j < n; j++) {
        for (int s = (1 << m) - 1; s >= 0; s--) {
            if (dp[s] > 0) {
                for (int t : adj[j]) {
                    if (s & t) continue;
                    int x = s | t;
                    dp[x] = max(dp[x], dp[s] + 1);
                    if (dp[x] > n) {
                        cout << "YES";
                        return 0;
                    }
                }
            }
        }
    }

    cout << "NO";
}

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