Submission #491327

#TimeUsernameProblemLanguageResultExecution timeMemory
491327DDTerziev04Knapsack (NOI18_knapsack)C++14
0 / 100
0 ms332 KiB
#include<iostream>
#include<vector>
#include<algorithm>
using namespace std;

const int MAXN=1e5, MAXS=2000;

long long dp[MAXS+1];
int p[MAXN], w[MAXN], h[MAXN], cnt[MAXS];
vector<pair<int, int> > v[MAXS];

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    long long s, n;
    cin >> s >> n;

    for(int i=0; i<=s; i++)
    {
        cnt[i]=0;
    }

    for(int i=0; i<n; i++)
    {
        int a, b, c;
        cin >> a >> b >> c;

        v[b].push_back({a, c});
        cnt[b]+=c;

    }

    n=0;
    for(int i=0; i<=s; i++)
    {
        sort(v[i].begin(), v[i].end());

        while(cnt[i]!=0 && cnt[i]>s/i)
        {
            cnt[i]-=v[i].back().second;
            v[i].pop_back();
        }

        for(pair<int, int> pr:v[i])
        {
            p[n]=pr.first, w[n]=i, h[n]=pr.second;
            n++;
        }
    }

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

    long long ans=0;
    for(int i=0; i<n; i++)
    {
        for(int j=s; j>=0; j--)
        {
            for(int u=1; u<=h[i] && u*w[i]<=j; u++)
            {
                if(dp[j-u*w[i]]==-1)
                {
                    continue;
                }

                dp[j]=max(dp[j], dp[j-u*w[i]]+u*p[i]);
            }

            ans=max(ans, dp[j]);
        }
    }

    cout << ans << "\n";

    return 0;
}
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