Submission #1298861

#TimeUsernameProblemLanguageResultExecution timeMemory
1298861Euclid73Knapsack (NOI18_knapsack)C++20
100 / 100
41 ms5376 KiB
#include <bits/stdc++.h>
using namespace std;

#define ll long long

const ll MAXN=1e5+5;
const ll MAXS=2005;

ll s, n, v[MAXN], w[MAXN], k[MAXN], dp[MAXS], ans;
vector<pair<ll, ll>> vals[MAXS];

void dodp(ll vx, ll wx)
{
    for (int i=s; i>=wx; i--)
    {
        dp[i]=max(dp[i], dp[i-wx]+vx);
    }
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin >> s >> n;
    for (int i=0; i<n; i++)
    {
        cin >> v[i] >> w[i] >> k[i];
        k[i]=min(k[i], s/w[i]);
        vals[w[i]].push_back({v[i], k[i]});
    }
    for (int i=1; i<=s; i++)
    {
        if (vals[i].size()==0)
        {
            continue;
        }
        sort(vals[i].begin(), vals[i].end(), greater<pair<ll, ll>>());
        ll am=s/i;
        for (int j=0; j<vals[i].size(); j++)
        {
            while (am>0 && vals[i][j].second>0)
            {
                am--;
                vals[i][j].second--;
                dodp(vals[i][j].first, i);
            }
            if (am==0)
            {
                break;
            }
        }
    }
    for (int i=1; i<=s; i++)
    {
        ans=max(ans, dp[i]);
    }
    cout << ans << "\n";
}
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