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Submission #634737

# Submission time Handle Problem Language Result Execution time Memory
634737 2022-08-24T19:00:01 Z Wael Knapsack (NOI18_knapsack) C++14
100 / 100
 127 ms 42324 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define int long long
#define F first
#define S second
#define endl '\n'
int const M = 2e3 + 10 , mod = 1e9 + 7;
ll n , T , Q , ans , W , val , w , c , dp[M][M] , ben[M][M];
vector<pair<ll , ll>>elem[M];

main() {
    ios_base::sync_with_stdio(false);cin.tie(nullptr);

    cin >> W >> n;
    for(int i = 1 ; i <= n ; ++i) {
        cin >> val >> w >> c;
        elem[w].push_back({val , c});
    }

    for(int w = 1 ; w <= W ; ++w) {
        sort(elem[w].begin() , elem[w].end());
        int Can = W / w , rem = 0 , val = 0;
        for(int cnt = 1 ; cnt <= Can ; ++cnt) {
            if(!rem) {
                if(!elem[w].size()) break;
                rem = elem[w].back().S;
                val = elem[w].back().F;
                elem[w].pop_back();
                //cout << "val " << val << endl;
            }
            --rem;
            ben[w][cnt] = ben[w][cnt - 1] + val;
        }
    }

    for(int w = 1 ; w <= W ; ++w) { //cout << "w = " << w << endl;
        int Can = W / w;
        for(int cnt = 0 ; cnt <= Can ; ++cnt) {
            for(int have = 0 ; have <= W ; ++have) {
                dp[w][have] = max(dp[w][have] , dp[w - 1][have]);
                if(have - cnt * w < 0) continue;
                //cout << " cnt = " << cnt << " " << ben[w][cnt] << endl;
                dp[w][have] = max(dp[w][have] , dp[w - 1][have - w * cnt] + ben[w][cnt]);
                ans = max(ans , dp[w][have]);
            }
        }
    }

    cout << ans << endl;
    return 0;
}

Compilation message

knapsack.cpp:12:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   12 | main() {
      | ^~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 17228 KB Output is correct
2 Correct 30 ms 17164 KB Output is correct
3 Correct 31 ms 17164 KB Output is correct
4 Correct 32 ms 17272 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 69 ms 31816 KB Output is correct
3 Correct 71 ms 31820 KB Output is correct
4 Correct 74 ms 31772 KB Output is correct
5 Correct 70 ms 31904 KB Output is correct
6 Correct 70 ms 32252 KB Output is correct
7 Correct 70 ms 32212 KB Output is correct
8 Correct 75 ms 32156 KB Output is correct
9 Correct 74 ms 32204 KB Output is correct
10 Correct 72 ms 32256 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 69 ms 31816 KB Output is correct
3 Correct 71 ms 31820 KB Output is correct
4 Correct 74 ms 31772 KB Output is correct
5 Correct 70 ms 31904 KB Output is correct
6 Correct 70 ms 32252 KB Output is correct
7 Correct 70 ms 32212 KB Output is correct
8 Correct 75 ms 32156 KB Output is correct
9 Correct 74 ms 32204 KB Output is correct
10 Correct 72 ms 32256 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 71 ms 31840 KB Output is correct
13 Correct 71 ms 31860 KB Output is correct
14 Correct 72 ms 31904 KB Output is correct
15 Correct 77 ms 31820 KB Output is correct
16 Correct 79 ms 32232 KB Output is correct
17 Correct 70 ms 32148 KB Output is correct
18 Correct 72 ms 32156 KB Output is correct
19 Correct 71 ms 32192 KB Output is correct
20 Correct 77 ms 32148 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 17228 KB Output is correct
2 Correct 30 ms 17164 KB Output is correct
3 Correct 31 ms 17164 KB Output is correct
4 Correct 32 ms 17272 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 69 ms 31816 KB Output is correct
7 Correct 71 ms 31820 KB Output is correct
8 Correct 74 ms 31772 KB Output is correct
9 Correct 70 ms 31904 KB Output is correct
10 Correct 70 ms 32252 KB Output is correct
11 Correct 70 ms 32212 KB Output is correct
12 Correct 75 ms 32156 KB Output is correct
13 Correct 74 ms 32204 KB Output is correct
14 Correct 72 ms 32256 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 71 ms 31840 KB Output is correct
17 Correct 71 ms 31860 KB Output is correct
18 Correct 72 ms 31904 KB Output is correct
19 Correct 77 ms 31820 KB Output is correct
20 Correct 79 ms 32232 KB Output is correct
21 Correct 70 ms 32148 KB Output is correct
22 Correct 72 ms 32156 KB Output is correct
23 Correct 71 ms 32192 KB Output is correct
24 Correct 77 ms 32148 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 72 ms 31848 KB Output is correct
27 Correct 72 ms 31796 KB Output is correct
28 Correct 70 ms 31796 KB Output is correct
29 Correct 73 ms 31872 KB Output is correct
30 Correct 74 ms 32204 KB Output is correct
31 Correct 75 ms 32192 KB Output is correct
32 Correct 73 ms 32152 KB Output is correct
33 Correct 74 ms 32224 KB Output is correct
34 Correct 72 ms 32224 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 17228 KB Output is correct
2 Correct 30 ms 17164 KB Output is correct
3 Correct 31 ms 17164 KB Output is correct
4 Correct 32 ms 17272 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 69 ms 31816 KB Output is correct
7 Correct 71 ms 31820 KB Output is correct
8 Correct 74 ms 31772 KB Output is correct
9 Correct 70 ms 31904 KB Output is correct
10 Correct 70 ms 32252 KB Output is correct
11 Correct 70 ms 32212 KB Output is correct
12 Correct 75 ms 32156 KB Output is correct
13 Correct 74 ms 32204 KB Output is correct
14 Correct 72 ms 32256 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 71 ms 31840 KB Output is correct
17 Correct 71 ms 31860 KB Output is correct
18 Correct 72 ms 31904 KB Output is correct
19 Correct 77 ms 31820 KB Output is correct
20 Correct 79 ms 32232 KB Output is correct
21 Correct 70 ms 32148 KB Output is correct
22 Correct 72 ms 32156 KB Output is correct
23 Correct 71 ms 32192 KB Output is correct
24 Correct 77 ms 32148 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 72 ms 31848 KB Output is correct
27 Correct 72 ms 31796 KB Output is correct
28 Correct 70 ms 31796 KB Output is correct
29 Correct 73 ms 31872 KB Output is correct
30 Correct 74 ms 32204 KB Output is correct
31 Correct 75 ms 32192 KB Output is correct
32 Correct 73 ms 32152 KB Output is correct
33 Correct 74 ms 32224 KB Output is correct
34 Correct 72 ms 32224 KB Output is correct
35 Correct 27 ms 2512 KB Output is correct
36 Correct 97 ms 33564 KB Output is correct
37 Correct 101 ms 33564 KB Output is correct
38 Correct 100 ms 33884 KB Output is correct
39 Correct 106 ms 33608 KB Output is correct
40 Correct 108 ms 42180 KB Output is correct
41 Correct 108 ms 42212 KB Output is correct
42 Correct 98 ms 42324 KB Output is correct
43 Correct 100 ms 42244 KB Output is correct
44 Correct 103 ms 42132 KB Output is correct
45 Correct 103 ms 35096 KB Output is correct
46 Correct 100 ms 33584 KB Output is correct
47 Correct 105 ms 36032 KB Output is correct
48 Correct 103 ms 38120 KB Output is correct
49 Correct 127 ms 34308 KB Output is correct
50 Correct 104 ms 34112 KB Output is correct