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Submission #649613

# Submission time Handle Problem Language Result Execution time Memory
649613 2022-10-11T04:37:36 Z MEGalodon Knapsack (NOI18_knapsack) C++14
100 / 100
 303 ms 19372 KB 
#include <bits/stdc++.h>
#define MAXN 2001
#define ii pair<int, int>
using namespace std;
vector<ii> W[MAXN];
int dp[MAXN][MAXN];
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    int S, N;
    cin>>S>>N;
    for( int i{1} ; i <= N ; ++i ){
        int v, w, k;
        cin>>v>>w>>k;
        W[w].push_back({v, k});
    }
    for( int i{1} ; i <= S ; ++i ){ sort(W[i].begin(), W[i].end(), [&](ii a, ii b){ return a.first > b.first; }); }
    memset(dp, 0, sizeof(0));
    for( int i{1} ; i <= S ; ++i ){
        for( int s{1} ; s <= S ; ++s ){
            int curW = s, curV = 0;
            int ret = dp[s][i-1];
            for( auto x : W[i] ){
                int v = x.first;
                int k = x.second;
                while( curW-i >= 0 && k ){
                    curW -= i;
                    k--;
                    curV += v;
                    ret = max(ret, dp[curW][i-1]+curV);
                }
            }
            dp[s][i] = ret;
        }
    }
    //you can't see how your values are progressing
    //you think it should go a certain way, but if there is an error you can't spot it by printing the super large table
    cout<<dp[S][S]<<'\n';
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9940 KB Output is correct
2 Correct 9 ms 9968 KB Output is correct
3 Correct 9 ms 9940 KB Output is correct
4 Correct 9 ms 9940 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 376 KB Output is correct
2 Correct 38 ms 16020 KB Output is correct
3 Correct 37 ms 16016 KB Output is correct
4 Correct 37 ms 15960 KB Output is correct
5 Correct 38 ms 15976 KB Output is correct
6 Correct 39 ms 16088 KB Output is correct
7 Correct 38 ms 15952 KB Output is correct
8 Correct 37 ms 15996 KB Output is correct
9 Correct 38 ms 16124 KB Output is correct
10 Correct 37 ms 15988 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 376 KB Output is correct
2 Correct 38 ms 16020 KB Output is correct
3 Correct 37 ms 16016 KB Output is correct
4 Correct 37 ms 15960 KB Output is correct
5 Correct 38 ms 15976 KB Output is correct
6 Correct 39 ms 16088 KB Output is correct
7 Correct 38 ms 15952 KB Output is correct
8 Correct 37 ms 15996 KB Output is correct
9 Correct 38 ms 16124 KB Output is correct
10 Correct 37 ms 15988 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 46 ms 15984 KB Output is correct
13 Correct 38 ms 16028 KB Output is correct
14 Correct 40 ms 15912 KB Output is correct
15 Correct 40 ms 15952 KB Output is correct
16 Correct 42 ms 16012 KB Output is correct
17 Correct 42 ms 15996 KB Output is correct
18 Correct 40 ms 15968 KB Output is correct
19 Correct 41 ms 15956 KB Output is correct
20 Correct 40 ms 15996 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9940 KB Output is correct
2 Correct 9 ms 9968 KB Output is correct
3 Correct 9 ms 9940 KB Output is correct
4 Correct 9 ms 9940 KB Output is correct
5 Correct 1 ms 376 KB Output is correct
6 Correct 38 ms 16020 KB Output is correct
7 Correct 37 ms 16016 KB Output is correct
8 Correct 37 ms 15960 KB Output is correct
9 Correct 38 ms 15976 KB Output is correct
10 Correct 39 ms 16088 KB Output is correct
11 Correct 38 ms 15952 KB Output is correct
12 Correct 37 ms 15996 KB Output is correct
13 Correct 38 ms 16124 KB Output is correct
14 Correct 37 ms 15988 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 46 ms 15984 KB Output is correct
17 Correct 38 ms 16028 KB Output is correct
18 Correct 40 ms 15912 KB Output is correct
19 Correct 40 ms 15952 KB Output is correct
20 Correct 42 ms 16012 KB Output is correct
21 Correct 42 ms 15996 KB Output is correct
22 Correct 40 ms 15968 KB Output is correct
23 Correct 41 ms 15956 KB Output is correct
24 Correct 40 ms 15996 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 54 ms 15948 KB Output is correct
27 Correct 43 ms 15924 KB Output is correct
28 Correct 39 ms 16008 KB Output is correct
29 Correct 40 ms 15996 KB Output is correct
30 Correct 47 ms 16132 KB Output is correct
31 Correct 39 ms 15956 KB Output is correct
32 Correct 43 ms 16008 KB Output is correct
33 Correct 40 ms 15924 KB Output is correct
34 Correct 39 ms 16092 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 9940 KB Output is correct
2 Correct 9 ms 9968 KB Output is correct
3 Correct 9 ms 9940 KB Output is correct
4 Correct 9 ms 9940 KB Output is correct
5 Correct 1 ms 376 KB Output is correct
6 Correct 38 ms 16020 KB Output is correct
7 Correct 37 ms 16016 KB Output is correct
8 Correct 37 ms 15960 KB Output is correct
9 Correct 38 ms 15976 KB Output is correct
10 Correct 39 ms 16088 KB Output is correct
11 Correct 38 ms 15952 KB Output is correct
12 Correct 37 ms 15996 KB Output is correct
13 Correct 38 ms 16124 KB Output is correct
14 Correct 37 ms 15988 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 46 ms 15984 KB Output is correct
17 Correct 38 ms 16028 KB Output is correct
18 Correct 40 ms 15912 KB Output is correct
19 Correct 40 ms 15952 KB Output is correct
20 Correct 42 ms 16012 KB Output is correct
21 Correct 42 ms 15996 KB Output is correct
22 Correct 40 ms 15968 KB Output is correct
23 Correct 41 ms 15956 KB Output is correct
24 Correct 40 ms 15996 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 54 ms 15948 KB Output is correct
27 Correct 43 ms 15924 KB Output is correct
28 Correct 39 ms 16008 KB Output is correct
29 Correct 40 ms 15996 KB Output is correct
30 Correct 47 ms 16132 KB Output is correct
31 Correct 39 ms 15956 KB Output is correct
32 Correct 43 ms 16008 KB Output is correct
33 Correct 40 ms 15924 KB Output is correct
34 Correct 39 ms 16092 KB Output is correct
35 Correct 26 ms 2320 KB Output is correct
36 Correct 247 ms 18224 KB Output is correct
37 Correct 209 ms 18008 KB Output is correct
38 Correct 198 ms 18328 KB Output is correct
39 Correct 209 ms 19048 KB Output is correct
40 Correct 303 ms 19148 KB Output is correct
41 Correct 268 ms 18512 KB Output is correct
42 Correct 266 ms 18508 KB Output is correct
43 Correct 283 ms 18560 KB Output is correct
44 Correct 280 ms 18448 KB Output is correct
45 Correct 210 ms 19372 KB Output is correct
46 Correct 196 ms 18828 KB Output is correct
47 Correct 232 ms 19368 KB Output is correct
48 Correct 247 ms 19148 KB Output is correct
49 Correct 198 ms 19192 KB Output is correct
50 Correct 238 ms 18892 KB Output is correct