Submission #1209906

#	Time	Username	Problem	Language	Result	Execution time	Memory
1209906		borekking	Knapsack (NOI18_knapsack)	C++20	100 / 100	154 ms	139252 KiB

knapsack

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

int main() {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    int s, n; cin >> s >> n;
    vector<vector<pii>> items(s+1);
    for (int i = 0; i < n; i++) {
        int v, w, k; cin >> v >> w >> k;
        items[w].push_back({v, k});
    }
    vector<int> weight(1), profit(1);
    for (int w = 1; w <= s; w++) {
        sort(items[w].begin(), items[w].end());
        reverse(items[w].begin(), items[w].end());
        int cnt = 0;
        int max = s/w+1;
        int index = 0;
        while (cnt < max && index < items[w].size()) {
            if (items[w][index].second == 0) {
                index++;
                continue;
            }
            weight.push_back(w);
            profit.push_back(items[w][index].first);
            cnt++;
            items[w][index].second--;
        }
    }
    n = weight.size();
    vector<vector<int>> dp(s+1, vector<int>(n, 0));
    for (int w = 1; w <= s; w++) {
        for (int i = 1; i < n; i++) {
            dp[w][i] = dp[w][i-1];
            if (w-weight[i] >= 0) {
                dp[w][i] = max(dp[w][i], profit[i] + dp[w-weight[i]][i-1]);
            }
        }
    }
    cout << dp[s][n-1] << endl;
    return 0;
}

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