Submission #920586

#TimeUsernameProblemLanguageResultExecution timeMemory
920586gustavo_dKnapsack (NOI18_knapsack)C++17
73 / 100
1080 ms2952 KiB
// https://oj.uz/problem/view/NOI18_knapsack > p83 e p199
#include <bits/stdc++.h>
using namespace std;

#pragma GCC optimize("03,unroll-loops")

const int MAXS = 2000;

int dp[2][MAXS+1];

int main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
 
    int S, n; cin >> S >> n;
    vector<int> v(n);
    vector<int> w(n);
    vector<int> K(n);
    for (int i=0; i<n; i++) {
        cin >> v[i] >> w[i] >> K[i];
        K[i] = min(K[i], (S/w[i]));
    }

    for (int i=1; i<=n; i++) {
        for (int P=0; P<=S; P++) {
            int to_use = 0;
            int to_get = 0;
            for (int k=0; k<=K[i-1]; k++) {
                if (P>=to_use) {
                    dp[i&1][P] = max(
                        dp[i&1][P],
                        dp[(i&1)^1][P-to_use] + to_get
                    );
                } else break;
                to_use += w[i-1];
                to_get += v[i-1];
            }
        }
    }
 
    cout << dp[n&1][S] << endl;
 
    return 0;
}
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