Submission #1277986

#TimeUsernameProblemLanguageResultExecution timeMemory
1277986shirokitoKnapsack (NOI18_knapsack)C++20
100 / 100
38 ms2260 KiB
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

const int N = 1e5 + 24;

int n, s; int v[N], w[N], k[N];
int dp[N]; vector<int> V[N];

void solve() {
    cin >> s >> n;

    for (int i = 1; i <= n; i++) {
        cin >> v[i] >> w[i] >> k[i];
    }

    vector<int> id;
    for (int i = 1; i <= n; i++) {
        id.push_back(i);
    }

    sort(id.begin(), id.end(), [&] (int i, int j) { return v[i] > v[j]; });

    for (int i: id) {
        int sz = s / w[i];
        while ((int) V[w[i]].size() < sz && k[i] > 0) {
            V[w[i]].push_back(v[i]);
            k[i]--;
        }
    }

    for (int w = 1; w <= s; w++) {
        for (int i = s; i >= w; i--) {
            int cnt = 0, v = 0;
            for (int x: V[w]) { cnt++; v += x;
                if (i - w * cnt < 0) break;
                dp[i] = max(dp[i], dp[i - w * cnt] + v);
            }
        }
    }

    cout << dp[s] << '\n';
}   

int main() {
    cin.tie(nullptr) -> sync_with_stdio(false);

    int T = 1; // cin >> T;
    while (T--) {
        solve();
    }
}
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