Submission #685148

#	Time	Username	Problem	Language	Result	Execution time	Memory
685148		adrilen	Knapsack (NOI18_knapsack)	C++17	100 / 100	58 ms	4944 KiB

knapsack

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<ll,ll>;
constexpr int maxs = 2e3 + 1;


pii dp[maxs];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    
    int s, n;
    cin >> s >> n;


    vector <vector <pii>> items(s + 1);

    int a, b, c;
    for (int i = 0; i < n; i++)
    {
        cin >> a >> b >> c;
        items[b].emplace_back(a, c);
    }

    for (auto &p : items) sort(p.begin(), p.end());
                            //    v       w        k

    ll nval;
    for (int si = 1; si <= s; si++)
    {
        if (items[si].empty()) continue;
        nval = 0;
        for (int k = 1; k * si <= s; k++)
        {
            nval += items[si].back().first;

            for (int p = 0; p <= s - k * si; p++)
            {
                dp[p + k * si].second = max(dp[p + k * si].second, dp[p].first + nval);                
            }

            items[si].back().second--;
            if (items[si].back().second == 0)
            {
                items[si].pop_back();
                if (items[si].empty()) break;
            }
        }
        
        for (int p = 0; p <= s; p++) {
            dp[p].first = dp[p].second; 
            // cout << dp[p].first << " ";
        }
    }

    cout << (*max_element(begin(dp), end(dp))).first << "\n";
}

/*
for position:
    for weight:
        pos + w = max(pos + value)


*/

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