Submission #664663

#	Time	Username	Problem	Language	Result	Execution time	Memory
664663		longvu	Bank (IZhO14_bank)	C++14	100 / 100	215 ms	23484 KiB

bank

/**
 *    author:  longvu
 *    created: 11/27/22 14:55:09
**/
#include<bits/stdc++.h>

using namespace std;

#define int long long
#define sz(x) ((int)x.size())
#define all(x) (x).begin(), (x).end()
const int INF = numeric_limits<int>::max();
const int naxn = (int)(21);
const int naxm = (int)(19001);
const int mod = 1e9 + 7;

template<class X, class Y>
bool maximize(X& x, const Y y) {
    if (y > x) {x = y; return true;}
    return false;
}
template<class X, class Y>
bool minimize(X& x, const Y y) {
    if (y < x) {x = y; return true;}
    return false;
}

int a[naxn], b[naxn], cnt[(1 << naxn)];
vector<int> memo[naxm];
bitset<(1 << naxn)> vis[naxn], dp[naxn];
int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int n, m;
    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 mask = 0; mask < (1 << m); ++mask) {
        int sum = 0;
        for (int i = 0; i < m; ++i) {
            if (mask & (1 << i)) {
                sum += b[i];
            }
        }
        cnt[mask] = __builtin_popcount(mask);
        memo[sum].push_back(mask);
    }
    function<bool(int, int)> solve = [&](int i, int mask) {
        if (i == n) {
            return true;
        }
        if (vis[i][mask]) {
            return (bool)(dp[i][mask]); 
        }
        bool res = false;
        for (auto z : memo[a[i]]) {
            if (!(mask & z) && m - cnt[mask] + cnt[z] >= n - 1 - i &&  solve(i + 1, mask | z)) {
                res = true;
                break;
            }
        }
        vis[i][mask] = true;
        dp[i][mask] = res;
        return res;
    };
    cout << (solve(0, 0) ? "YES" : "NO") << '\n';
    return 0;
}

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