Submission #824527

#TimeUsernameProblemLanguageResultExecution timeMemory
824527pickle_juice2023Knapsack (NOI18_knapsack)C++17
17 / 100
27 ms31708 KiB
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const int MAX = 2002;
vector<pair<ll, ll>> a[MAX];
ll f[MAX][MAX], s, n, u, v, w, k, total;

void solve() {
    cin >> s >> n;
    for (int i = 1; i <= n; i++) {
        cin >> v >> w >> k;
        a[w].push_back({v, k});
    }
    for (int i = 1; i <= 2000; i++) sort(a[i].begin(), a[i].end(), greater<pair<ll, ll>>());
    for (int i = 1; i <= s; i++) {
        total = 0;
        ll temp = 0;
        for (auto j : a[1]) {
            if (total + j.second <= i) {
                total += j.second;
                temp += j.second * j.first;
            } else {
                total += (i - total);
                temp += (i - total) * j.first;
                break;
            }
        }
        f[1][i] = temp;
        //cout << f[1][i] << " ";
    }
    //cout << "\n";
    for (int i = 2; i <= s; i++) {
        for (int j = 1; j <= s; j++) {
            total = 0;
            ll temp = 0;
            f[i][j] = f[i - 1][j];
            for (auto u : a[i]) {
                if (total + (u.second) * i <= j) {
                    total += u.second * i;
                    temp += u.second * u.first;
                } else {
                    total += (i - total) * i;
                    temp += (i - total) * u.first;
                    break;
                }
                f[i][j] = max(f[i][j], temp + f[i - 1][j - total]);
            }
            //cout << f[i][j] << " ";
        }
        //cout << "\n";
    }
    cout << f[s][s];
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    solve();
}
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