Submission #1178358

#	Time	Username	Problem	Language	Result	Execution time	Memory
1178358		GoBananas69	Bank (IZhO14_bank)	C++20	100 / 100	367 ms	130768 KiB

bank

#include <algorithm>
#include <iostream>
#include <vector>

using namespace std;
typedef long long ll;

int n, m;
vector<vector<int>> dp;

bool solve(int curr, int i, vector<int> &a, vector<vector<int>> &sums) {
    if (i == n) {
        return true;
    }
    if (dp[curr][i] != -1) {
        return dp[curr][i] == 1;
    }
    int res = 0;
    for (int &j: sums[a[i]]) {  
        if (j & curr) continue;
        if (solve(j | curr, i + 1, a, sums)) {
            return dp[curr][i] = 1;
        }
    }
    return dp[curr][i] = 0;
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    cin >> n >> m;
    vector<int> a(n), b(m);
    int mx = 0;
    for (int &i : a) cin >> i;
    for (int &i : b) {
        cin >> i;
        mx += i;
    }
    vector<vector<int>> sums(mx + 1);
    dp.resize((1 << m) + 1, vector<int>(n + 1, -1));
    for (int i = 0; i<=(1 << n); ++i) {
        dp[1 << n][n] = 1;
    }
    int t = 1 << m;
    for (int i = 0; i < t; ++i) {
        int curr = 0;
        for (int j = 0; j < m; ++j) {
            if (i & (1 << j)) curr += b[j];
        }
        if (curr > mx) continue;
        sums[curr].push_back(i);
    }
    for (int &i : a) {
        if (i > mx) {
            cout << "NO\n";
            return 0;
        }
        if (sums[i].empty()) {
            cout << "NO\n";
            return 0;
        }
    }
    if (solve(0, 0, a, sums)) {
        cout << "YES\n";
    } else {
        cout << "NO\n";
    }
    return 0;
}

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