Submission #1128637

#	Time	Username	Problem	Language	Result	Execution time	Memory
1128637		firegirlwaterboy	Knapsack (NOI18_knapsack)	C++20	100 / 100	85 ms	33148 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;

void solve() {
    int s, n;
    cin >> s >> n;
    map<int, vector<pii>> groups;
    for (int i = 0; i < n; i++) {
        int v, w, k;
        cin >> v >> w >> k;
        groups[w].push_back({v, k});
    }
    int idx = 1, g = groups.size();
    vector<vector<ll>> dp(g + 1, vector<ll>(s + 1));
    for (auto &[w, val] : groups) {
        sort(val.begin(), val.end(), greater<pii>());
        for (int i = 1; i <= s; i++) {
            dp[idx][i] = dp[idx - 1][i];
            ll cnt = 1, sz = 0, curr = 0, acc = 0;
            while (i >= cnt * w && sz < val.size()) {
                acc += val[sz].first;
                dp[idx][i] = max(dp[idx][i], dp[idx - 1][i - cnt * w] + acc);
                cnt++, curr++;
                if (curr == val[sz].second) curr = 0, sz++;
            }
        }
        idx++;
    }
    cout << *max_element(dp[g].begin(), dp[g].end()) << "\n";
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
    return 0;
}

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