Submission #1212605

#TimeUsernameProblemLanguageResultExecution timeMemory
1212605LinkedArrayKnapsack (NOI18_knapsack)C++17
73 / 100
1096 ms1608 KiB
#include <bits/stdc++.h>
using namespace std;

const int MAX_N = 1e5, MAX_S = 2e3;

int v[MAX_N + 1], wi[MAX_N + 1], k[MAX_N + 1];
int dp[MAX_S + 1];

signed main () {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int s, n, i, j, w, new_w, min_k;
    
    cin >> s >> n;
    
    min_k = INT_MAX;
    for (i = 1; i <= n; i++) {
        cin >> v[i] >> wi[i] >> k[i];
        min_k = min(min_k, k[i]);
    }
    
    if (min_k > s) {
        // unbounded 
        for (w = 0; w <= s; w++) {
            for (i = 1; i <= n; i++) {
                new_w = w + wi[i];
                if (new_w <= s) {
                    dp[new_w] = max(dp[new_w], dp[w] + v[i]);
                }
            }
        }
    } else {
        for (i = 1; i <= n; i++) {
            for (j = 1; j <= k[i]; j++) {
                for (w = s; w >= 0; w--) {
                    new_w = w + wi[i];
                    if (new_w <= s) {
                        dp[new_w] = max(dp[new_w], dp[w] + v[i]);
                    }
                }
            }
        }
    }
    
    cout << dp[s];
    return 0;
}
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