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Submission #578175

# Submission time Handle Problem Language Result Execution time Memory
578175 2022-06-16T06:48:38 Z lam Knapsack (NOI18_knapsack) C++17
100 / 100
 103 ms 36464 KB 
#include <iostream>
#include <vector>
#include <queue>
#include <algorithm>
#include <cmath>
#define maxn 2010
#define int long long
#define taskname "spainting"
using namespace std;
int s,n;
int dp[maxn][maxn];
vector <pair<int,int>> a[maxn];
signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
//    freopen(taskname".in","r",stdin);
//    freopen(taskname".out","w",stdout);
    cin>>s>>n;
    for (int i=1; i<=n; i++)
    {
        int v,w,k; cin>>v>>w>>k;
        if (w<=s&&k>0) a[w].push_back({v,k});
    }
    for (int i=0; i<=s; i++) for (int j=0; j<=s; j++) dp[i][j]=-1e18;
    dp[0][0]=0;
    for (int i=1; i<=s; i++)
    {
        sort(a[i].begin(),a[i].end(),greater<pair<int,int>>());
        for (int j=0; j<=s; j++)
        {
            dp[i][j]=dp[i-1][j];
            if (a[i].empty()) continue;
            int cnt=0;
            int used=0;
            int it=0;
            int sum=0;
            while ((cnt+1)*i<=j&&it<(int)(a[i].size()))
            {
                cnt++;
                sum+=a[i][it].first;
                if (dp[i-1][j-cnt*i]!=-1e18)
                    dp[i][j]=max(dp[i][j],dp[i-1][j-cnt*i]+sum);
                used++;
                if (used==a[i][it].second)
                {
                    used=0;
                    it++;
                }
            }
        }
    }
    int ans=-1e18;
    for (int i=0; i<=s; i++) for (int j=0; j<=s; j++) ans=max(ans,dp[i][j]);
    cout<<ans;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 17152 KB Output is correct
2 Correct 17 ms 17236 KB Output is correct
3 Correct 15 ms 17208 KB Output is correct
4 Correct 13 ms 17236 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 32 ms 31852 KB Output is correct
3 Correct 27 ms 31828 KB Output is correct
4 Correct 26 ms 31740 KB Output is correct
5 Correct 26 ms 31796 KB Output is correct
6 Correct 24 ms 31792 KB Output is correct
7 Correct 24 ms 31828 KB Output is correct
8 Correct 28 ms 31700 KB Output is correct
9 Correct 34 ms 31792 KB Output is correct
10 Correct 28 ms 31828 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 32 ms 31852 KB Output is correct
3 Correct 27 ms 31828 KB Output is correct
4 Correct 26 ms 31740 KB Output is correct
5 Correct 26 ms 31796 KB Output is correct
6 Correct 24 ms 31792 KB Output is correct
7 Correct 24 ms 31828 KB Output is correct
8 Correct 28 ms 31700 KB Output is correct
9 Correct 34 ms 31792 KB Output is correct
10 Correct 28 ms 31828 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 32 ms 31740 KB Output is correct
13 Correct 24 ms 31792 KB Output is correct
14 Correct 27 ms 31844 KB Output is correct
15 Correct 25 ms 31776 KB Output is correct
16 Correct 27 ms 31740 KB Output is correct
17 Correct 24 ms 31820 KB Output is correct
18 Correct 25 ms 31700 KB Output is correct
19 Correct 27 ms 31828 KB Output is correct
20 Correct 32 ms 31692 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 17152 KB Output is correct
2 Correct 17 ms 17236 KB Output is correct
3 Correct 15 ms 17208 KB Output is correct
4 Correct 13 ms 17236 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 32 ms 31852 KB Output is correct
7 Correct 27 ms 31828 KB Output is correct
8 Correct 26 ms 31740 KB Output is correct
9 Correct 26 ms 31796 KB Output is correct
10 Correct 24 ms 31792 KB Output is correct
11 Correct 24 ms 31828 KB Output is correct
12 Correct 28 ms 31700 KB Output is correct
13 Correct 34 ms 31792 KB Output is correct
14 Correct 28 ms 31828 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 32 ms 31740 KB Output is correct
17 Correct 24 ms 31792 KB Output is correct
18 Correct 27 ms 31844 KB Output is correct
19 Correct 25 ms 31776 KB Output is correct
20 Correct 27 ms 31740 KB Output is correct
21 Correct 24 ms 31820 KB Output is correct
22 Correct 25 ms 31700 KB Output is correct
23 Correct 27 ms 31828 KB Output is correct
24 Correct 32 ms 31692 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 34 ms 31828 KB Output is correct
27 Correct 27 ms 31860 KB Output is correct
28 Correct 24 ms 31828 KB Output is correct
29 Correct 26 ms 31820 KB Output is correct
30 Correct 29 ms 31944 KB Output is correct
31 Correct 24 ms 31828 KB Output is correct
32 Correct 25 ms 31820 KB Output is correct
33 Correct 27 ms 31700 KB Output is correct
34 Correct 31 ms 31828 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 17152 KB Output is correct
2 Correct 17 ms 17236 KB Output is correct
3 Correct 15 ms 17208 KB Output is correct
4 Correct 13 ms 17236 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 32 ms 31852 KB Output is correct
7 Correct 27 ms 31828 KB Output is correct
8 Correct 26 ms 31740 KB Output is correct
9 Correct 26 ms 31796 KB Output is correct
10 Correct 24 ms 31792 KB Output is correct
11 Correct 24 ms 31828 KB Output is correct
12 Correct 28 ms 31700 KB Output is correct
13 Correct 34 ms 31792 KB Output is correct
14 Correct 28 ms 31828 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 32 ms 31740 KB Output is correct
17 Correct 24 ms 31792 KB Output is correct
18 Correct 27 ms 31844 KB Output is correct
19 Correct 25 ms 31776 KB Output is correct
20 Correct 27 ms 31740 KB Output is correct
21 Correct 24 ms 31820 KB Output is correct
22 Correct 25 ms 31700 KB Output is correct
23 Correct 27 ms 31828 KB Output is correct
24 Correct 32 ms 31692 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 34 ms 31828 KB Output is correct
27 Correct 27 ms 31860 KB Output is correct
28 Correct 24 ms 31828 KB Output is correct
29 Correct 26 ms 31820 KB Output is correct
30 Correct 29 ms 31944 KB Output is correct
31 Correct 24 ms 31828 KB Output is correct
32 Correct 25 ms 31820 KB Output is correct
33 Correct 27 ms 31700 KB Output is correct
34 Correct 31 ms 31828 KB Output is correct
35 Correct 35 ms 3428 KB Output is correct
36 Correct 54 ms 34716 KB Output is correct
37 Correct 61 ms 34508 KB Output is correct
38 Correct 56 ms 35116 KB Output is correct
39 Correct 75 ms 35668 KB Output is correct
40 Correct 103 ms 36156 KB Output is correct
41 Correct 74 ms 35388 KB Output is correct
42 Correct 84 ms 35372 KB Output is correct
43 Correct 98 ms 35488 KB Output is correct
44 Correct 96 ms 35400 KB Output is correct
45 Correct 60 ms 36244 KB Output is correct
46 Correct 67 ms 35444 KB Output is correct
47 Correct 71 ms 36464 KB Output is correct
48 Correct 83 ms 36164 KB Output is correct
49 Correct 68 ms 35916 KB Output is correct
50 Correct 90 ms 35676 KB Output is correct