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Submission #763220

# Submission time Handle Problem Language Result Execution time Memory
763220 2023-06-22T06:56:50 Z Alvamau Knapsack (NOI18_knapsack) C++14
100 / 100
 52 ms 36240 KB 
#include <bits/stdc++.h>
     
using namespace std;
    
#define FASTIO ios_base::sync_with_stdio(false); cin.tie(NULL)
#define ll long long

ll dp[2005][2005];

struct item
{
    ll val,cnt;
    friend bool operator < (item x,item y)
    {
        return x.val > y.val;
    }
};
int main(){
    FASTIO;
    ll m,n;
    cin >> m >> n;
    vector < vector < item > > vt(m+1);
    for (ll i=1;i<=n;i++){
        ll v,w,t;
        cin >> v >> w >> t;
        vt[w].push_back({v,t});
    }
    ll i=0;
    for (ll w=1;w<=m;w++){
        i++;
        sort(vt[w].begin(),vt[w].end());
        ll cw=0,cv=0;
        for (ll j=1;j<=m;j++)
            dp[i][j]=dp[i-1][j];
        
        for (auto f:vt[w]){
            if (cw>m) break;
            for (ll k=1;k<=f.cnt;k++){
                cw+=w;
                cv+=f.val;
                if (cw>m) break;
                for (ll j=cw;j<=m;j++)
                    dp[i][j]=max(dp[i][j],dp[i-1][j-cw]+cv);
            }
        }
    }
    ll ans=0;
    for (ll j=1;j<=m;j++) ans=max(ans,dp[i][j]);
    cout << ans;
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 17108 KB Output is correct
2 Correct 9 ms 17108 KB Output is correct
3 Correct 8 ms 17144 KB Output is correct
4 Correct 9 ms 17108 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 14 ms 31772 KB Output is correct
3 Correct 14 ms 31700 KB Output is correct
4 Correct 14 ms 31636 KB Output is correct
5 Correct 14 ms 31700 KB Output is correct
6 Correct 15 ms 31700 KB Output is correct
7 Correct 17 ms 31704 KB Output is correct
8 Correct 15 ms 31700 KB Output is correct
9 Correct 14 ms 31712 KB Output is correct
10 Correct 17 ms 31828 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 328 KB Output is correct
2 Correct 14 ms 31772 KB Output is correct
3 Correct 14 ms 31700 KB Output is correct
4 Correct 14 ms 31636 KB Output is correct
5 Correct 14 ms 31700 KB Output is correct
6 Correct 15 ms 31700 KB Output is correct
7 Correct 17 ms 31704 KB Output is correct
8 Correct 15 ms 31700 KB Output is correct
9 Correct 14 ms 31712 KB Output is correct
10 Correct 17 ms 31828 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 16 ms 31700 KB Output is correct
13 Correct 14 ms 31700 KB Output is correct
14 Correct 14 ms 31700 KB Output is correct
15 Correct 15 ms 31700 KB Output is correct
16 Correct 15 ms 31632 KB Output is correct
17 Correct 15 ms 31652 KB Output is correct
18 Correct 15 ms 31716 KB Output is correct
19 Correct 15 ms 31756 KB Output is correct
20 Correct 15 ms 31708 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 17108 KB Output is correct
2 Correct 9 ms 17108 KB Output is correct
3 Correct 8 ms 17144 KB Output is correct
4 Correct 9 ms 17108 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 14 ms 31772 KB Output is correct
7 Correct 14 ms 31700 KB Output is correct
8 Correct 14 ms 31636 KB Output is correct
9 Correct 14 ms 31700 KB Output is correct
10 Correct 15 ms 31700 KB Output is correct
11 Correct 17 ms 31704 KB Output is correct
12 Correct 15 ms 31700 KB Output is correct
13 Correct 14 ms 31712 KB Output is correct
14 Correct 17 ms 31828 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 16 ms 31700 KB Output is correct
17 Correct 14 ms 31700 KB Output is correct
18 Correct 14 ms 31700 KB Output is correct
19 Correct 15 ms 31700 KB Output is correct
20 Correct 15 ms 31632 KB Output is correct
21 Correct 15 ms 31652 KB Output is correct
22 Correct 15 ms 31716 KB Output is correct
23 Correct 15 ms 31756 KB Output is correct
24 Correct 15 ms 31708 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 16 ms 31664 KB Output is correct
27 Correct 15 ms 31780 KB Output is correct
28 Correct 14 ms 31700 KB Output is correct
29 Correct 14 ms 31740 KB Output is correct
30 Correct 17 ms 31700 KB Output is correct
31 Correct 14 ms 31700 KB Output is correct
32 Correct 15 ms 31656 KB Output is correct
33 Correct 15 ms 31692 KB Output is correct
34 Correct 14 ms 31664 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 17108 KB Output is correct
2 Correct 9 ms 17108 KB Output is correct
3 Correct 8 ms 17144 KB Output is correct
4 Correct 9 ms 17108 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 14 ms 31772 KB Output is correct
7 Correct 14 ms 31700 KB Output is correct
8 Correct 14 ms 31636 KB Output is correct
9 Correct 14 ms 31700 KB Output is correct
10 Correct 15 ms 31700 KB Output is correct
11 Correct 17 ms 31704 KB Output is correct
12 Correct 15 ms 31700 KB Output is correct
13 Correct 14 ms 31712 KB Output is correct
14 Correct 17 ms 31828 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 16 ms 31700 KB Output is correct
17 Correct 14 ms 31700 KB Output is correct
18 Correct 14 ms 31700 KB Output is correct
19 Correct 15 ms 31700 KB Output is correct
20 Correct 15 ms 31632 KB Output is correct
21 Correct 15 ms 31652 KB Output is correct
22 Correct 15 ms 31716 KB Output is correct
23 Correct 15 ms 31756 KB Output is correct
24 Correct 15 ms 31708 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 16 ms 31664 KB Output is correct
27 Correct 15 ms 31780 KB Output is correct
28 Correct 14 ms 31700 KB Output is correct
29 Correct 14 ms 31740 KB Output is correct
30 Correct 17 ms 31700 KB Output is correct
31 Correct 14 ms 31700 KB Output is correct
32 Correct 15 ms 31656 KB Output is correct
33 Correct 15 ms 31692 KB Output is correct
34 Correct 14 ms 31664 KB Output is correct
35 Correct 22 ms 3408 KB Output is correct
36 Correct 39 ms 34684 KB Output is correct
37 Correct 38 ms 34452 KB Output is correct
38 Correct 36 ms 35148 KB Output is correct
39 Correct 40 ms 35668 KB Output is correct
40 Correct 52 ms 36088 KB Output is correct
41 Correct 42 ms 35276 KB Output is correct
42 Correct 42 ms 35316 KB Output is correct
43 Correct 47 ms 35404 KB Output is correct
44 Correct 49 ms 35220 KB Output is correct
45 Correct 39 ms 36080 KB Output is correct
46 Correct 34 ms 35384 KB Output is correct
47 Correct 40 ms 36240 KB Output is correct
48 Correct 43 ms 36076 KB Output is correct
49 Correct 34 ms 35876 KB Output is correct
50 Correct 43 ms 35508 KB Output is correct