Submission #954282

#	Time	Username	Problem	Language	Result	Execution time	Memory
954282		Ariadna	Knapsack (NOI18_knapsack)	C++14	73 / 100	446 ms	262144 KiB

knapsack

#include <bits/stdc++.h>
#define pb push_back
#define int long long

using namespace std;

vector<pair<int, int>> compression(int n, vector<int>& v, vector<int>& w, vector<int>& k) {
    map<pair<int, int>, int> comp;
    for (int i = 0; i < n; ++i) {
        comp[{v[i], w[i]}] += k[i];
    }

    for (auto& x : comp) {
        if (x.second >= 3) {
            comp[{2 * x.first.first, 2*x.first.second}] += (x.second - 1) / 2;
            if (x.second % 2) comp[x.first] = 1;
            else comp[x.first] = 2;
        }
    }
    
    vector<pair<int, int>> products;
    for (auto& x : comp) {
        products.pb(x.first);
        if (x.second == 2) products.pb(x.first);
    }
    return products;
}

signed main() {
    int s, n;
    cin >> s >> n;
    vector<int> v(n), w(n), k(n);
    for (int i = 0; i < n; ++i) {
        cin >> v[i] >> w[i] >> k[i];
    }

    vector<pair<int, int>> products = compression(n, v, w, k);
    int N = (int)products.size();

    vector<vector<int>> dp(N+1, vector<int>(s+1, 0));
    for (int i = 0; i < N; ++i) {
        for (int j = 1; j <= s; ++j) {
            dp[i+1][j] = dp[i][j];
            if (j >= products[i].second)
                dp[i+1][j] = max(dp[i+1][j], dp[i][j-products[i].second]+products[i].first);
        }
    }
    cout << dp[N][s] << '\n';

    return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 0 / 27