제출 #1193249

#제출 시각아이디문제언어결과실행 시간메모리
1193249dprtoKnapsack (NOI18_knapsack)C++20
73 / 100
1096 ms3776 KiB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int MAXN = 1e5 + 5;


int s, n, dp[MAXN];
vector<pair<int, int>> wei[MAXN];
signed main(){
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> s >> n;
    for(int i = 1; i <= n; ++i){
        int v, w, k;
        cin >> v >> w >> k;
        if(w > s) continue;
        wei[w].push_back({v, k});
    }

    for(int i = 1; i <= s; ++i){
        dp[i] = -1e9;
    }
    dp[0] = 0;

    for(int w = 1; w <= s; ++w){
        sort(wei[w].begin(), wei[w].end(), greater<>());
    }

    for(int w = 1; w <= s; ++w){
        if(wei[w].empty()) continue;

        vector<int> items;
        for(auto [val, cnt] : wei[w]){
            for(int i = s; i >= 0; --i){
                if(dp[i] == -1e9) continue;
                for(int k = 1; k <= cnt and i + w * k <= s; ++k){
                    dp[i + w * k] = max(dp[i + w * k], dp[i] + val * k);
                }
            }
        }

    }

    int res = 0;
    for(int i = 1; i <= s; ++i){
        res = max(res, dp[i]);
    }
    cout << res;

    return 0;
}
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