Submission #1059496

#	Time	Username	Problem	Language	Result	Execution time	Memory
1059496		chautanphat	Knapsack (NOI18_knapsack)	C++14	100 / 100	139 ms	48428 KiB

knapsack

#include<bits/stdc++.h>

using namespace std;

const int N = 2e3 + 1;
long long dp[N][N];

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

    int s, n;
    cin >> s >> n;

    vector<long long> f[s+1];
    while (n--)
    {
        int v, w, k, cur = 1;
        cin >> v >> w >> k;
        while (k >= cur)
        {
            k -= cur;
            if (1ll*w*cur <= s) f[w*cur].push_back(1ll*v*cur);
            cur *= 2;
        }
        if (k > 0 && 1ll*w*k <= s) f[w*k].push_back(1ll*v*k);
    }

    vector<long long> p[s+1];
    for (int i = 1; i <= s; i++)
    {
        sort(f[i].begin(), f[i].end(), greater<long long>());
        p[i].push_back(0);
        for (int j = 0; j < (int)f[i].size(); j++) p[i].push_back(p[i].back()+f[i][j]);
    }

    for (int i = 1; i <= s; i++)
        for (int j = 1; j <= s; j++)
        {
            dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
            for (int k = 0; k*j <= i && k <= (int)f[j].size(); k++)
                dp[i][j] = max(dp[i][j], dp[i-k*j][j-1]+p[j][k]);
        }
    cout << dp[s][s];

    return 0;
}

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