Submission #916620

#	Time	Username	Problem	Language	Result	Execution time	Memory
916620		atom	Bank (IZhO14_bank)	C++17	100 / 100	413 ms	848 KiB

bank

#include "bits/stdc++.h"
// @JASPER'S BOILERPLATE
using namespace std;
using ll = long long;

#ifdef JASPER
#include "debug.h"
#else
#define debug(...) 166
#endif

const int N = 22;
int n, m;
int a[N], b[N];
vector <int> adj[N];
// dp(i, x): (1..i person with mask x of bank notes);
signed main() {
    cin.tie(0) -> sync_with_stdio(0);
    
    cin >> n >> m;
    for (int i = 0; i < n; ++i) cin >> a[i];
    for (int j = 0; j < m; ++j) cin >> b[j];

    for (int msk = 0; msk < (1 << m); ++msk) {
        int sum = 0;
        for (int j = 0; j < m; ++j) {
            if (msk & (1 << j)) {
                sum += b[j];
            }
        }
        for (int i = 0; i < n; ++i) {
            if (sum == a[i])
                adj[i].push_back(msk);
        }
    }
    
    vector <bool> dp(1 << m, 0);
    dp[0] = 1;
    for (int i = 0; i < n; ++i) {
        vector <bool> nxt_dp(1 << m, 0);
        for (int msk = 0; msk < (1 << m); ++msk) {
            if (!dp[msk]) continue;
            for (int valid_msk : adj[i]) {
                if (!(valid_msk & msk)) 
                    nxt_dp[msk | valid_msk] = 1;
            }
        }
        swap(nxt_dp, dp);
    }

    bool ans = 0;
    for (int msk = 0; msk < (1 << m); ++msk) {
        if (dp[msk]) {
            ans = 1;
            break;
        }
    }
    cout << (ans? "YES\n" : "NO\n");
}

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