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Submission #476285

# Submission time Handle Problem Language Result Execution time Memory
476285 2021-09-25T19:42:34 Z Vianti Knapsack (NOI18_knapsack) C++17
100 / 100
 81 ms 19424 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
const ll MOD = 1e9 + 7;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int s, n;
    cin >> s >> n;
    vector<vector<pii>> a(s + 1);
    for (int i = 0; i < n; i++) {
        int v, w, k;
        cin >> v >> w >> k;
        a[w].push_back({v, k});
    }
    for (int i = 0; i <= s; i++) {
        sort(a[i].rbegin(), a[i].rend());
    }
    vector<vector<int>> dp(s + 1, vector<int>(s + 1, 0));
    for (int i = 1; i <= s; i++) {
        for (int j = 0; j <= s; j++) {
            int curw = 0;
            int curv = 0;
            dp[i][j] = max(dp[i - 1][j], dp[i][j]);
            for (auto &el: a[i]) {
                for (int p = 0; p < el.second; p++) {
                    curw += i;
                    curv += el.first;
                    if (curw > j)break;
                    dp[i][j] = max(dp[i][j], dp[i - 1][j - curw] + curv);
                }
                if (curw > j)break;
            }
        }
    }
    int ans = 0;
    for (int i = 0; i <= s; i++) {
        ans = max(ans, dp[s][i]);
    }
    cout << ans << endl;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 6348 KB Output is correct
2 Correct 5 ms 6348 KB Output is correct
3 Correct 6 ms 6348 KB Output is correct
4 Correct 5 ms 6348 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 15 ms 16092 KB Output is correct
3 Correct 13 ms 16076 KB Output is correct
4 Correct 14 ms 16040 KB Output is correct
5 Correct 14 ms 15948 KB Output is correct
6 Correct 14 ms 16076 KB Output is correct
7 Correct 13 ms 16096 KB Output is correct
8 Correct 13 ms 16008 KB Output is correct
9 Correct 14 ms 15972 KB Output is correct
10 Correct 15 ms 16096 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 15 ms 16092 KB Output is correct
3 Correct 13 ms 16076 KB Output is correct
4 Correct 14 ms 16040 KB Output is correct
5 Correct 14 ms 15948 KB Output is correct
6 Correct 14 ms 16076 KB Output is correct
7 Correct 13 ms 16096 KB Output is correct
8 Correct 13 ms 16008 KB Output is correct
9 Correct 14 ms 15972 KB Output is correct
10 Correct 15 ms 16096 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 20 ms 16132 KB Output is correct
13 Correct 18 ms 16076 KB Output is correct
14 Correct 13 ms 16076 KB Output is correct
15 Correct 14 ms 16044 KB Output is correct
16 Correct 15 ms 16092 KB Output is correct
17 Correct 13 ms 15948 KB Output is correct
18 Correct 13 ms 16076 KB Output is correct
19 Correct 14 ms 16108 KB Output is correct
20 Correct 13 ms 15948 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 6348 KB Output is correct
2 Correct 5 ms 6348 KB Output is correct
3 Correct 6 ms 6348 KB Output is correct
4 Correct 5 ms 6348 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 15 ms 16092 KB Output is correct
7 Correct 13 ms 16076 KB Output is correct
8 Correct 14 ms 16040 KB Output is correct
9 Correct 14 ms 15948 KB Output is correct
10 Correct 14 ms 16076 KB Output is correct
11 Correct 13 ms 16096 KB Output is correct
12 Correct 13 ms 16008 KB Output is correct
13 Correct 14 ms 15972 KB Output is correct
14 Correct 15 ms 16096 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 20 ms 16132 KB Output is correct
17 Correct 18 ms 16076 KB Output is correct
18 Correct 13 ms 16076 KB Output is correct
19 Correct 14 ms 16044 KB Output is correct
20 Correct 15 ms 16092 KB Output is correct
21 Correct 13 ms 15948 KB Output is correct
22 Correct 13 ms 16076 KB Output is correct
23 Correct 14 ms 16108 KB Output is correct
24 Correct 13 ms 15948 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 16 ms 15984 KB Output is correct
27 Correct 15 ms 16076 KB Output is correct
28 Correct 16 ms 16076 KB Output is correct
29 Correct 13 ms 16096 KB Output is correct
30 Correct 14 ms 16076 KB Output is correct
31 Correct 14 ms 15984 KB Output is correct
32 Correct 13 ms 16096 KB Output is correct
33 Correct 14 ms 15948 KB Output is correct
34 Correct 13 ms 16076 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 6348 KB Output is correct
2 Correct 5 ms 6348 KB Output is correct
3 Correct 6 ms 6348 KB Output is correct
4 Correct 5 ms 6348 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 15 ms 16092 KB Output is correct
7 Correct 13 ms 16076 KB Output is correct
8 Correct 14 ms 16040 KB Output is correct
9 Correct 14 ms 15948 KB Output is correct
10 Correct 14 ms 16076 KB Output is correct
11 Correct 13 ms 16096 KB Output is correct
12 Correct 13 ms 16008 KB Output is correct
13 Correct 14 ms 15972 KB Output is correct
14 Correct 15 ms 16096 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 20 ms 16132 KB Output is correct
17 Correct 18 ms 16076 KB Output is correct
18 Correct 13 ms 16076 KB Output is correct
19 Correct 14 ms 16044 KB Output is correct
20 Correct 15 ms 16092 KB Output is correct
21 Correct 13 ms 15948 KB Output is correct
22 Correct 13 ms 16076 KB Output is correct
23 Correct 14 ms 16108 KB Output is correct
24 Correct 13 ms 15948 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 16 ms 15984 KB Output is correct
27 Correct 15 ms 16076 KB Output is correct
28 Correct 16 ms 16076 KB Output is correct
29 Correct 13 ms 16096 KB Output is correct
30 Correct 14 ms 16076 KB Output is correct
31 Correct 14 ms 15984 KB Output is correct
32 Correct 13 ms 16096 KB Output is correct
33 Correct 14 ms 15948 KB Output is correct
34 Correct 13 ms 16076 KB Output is correct
35 Correct 32 ms 1472 KB Output is correct
36 Correct 48 ms 18108 KB Output is correct
37 Correct 54 ms 17848 KB Output is correct
38 Correct 49 ms 18228 KB Output is correct
39 Correct 57 ms 18848 KB Output is correct
40 Correct 81 ms 19268 KB Output is correct
41 Correct 70 ms 18572 KB Output is correct
42 Correct 69 ms 18576 KB Output is correct
43 Correct 65 ms 18516 KB Output is correct
44 Correct 69 ms 18608 KB Output is correct
45 Correct 51 ms 19424 KB Output is correct
46 Correct 49 ms 18752 KB Output is correct
47 Correct 66 ms 19368 KB Output is correct
48 Correct 65 ms 19396 KB Output is correct
49 Correct 53 ms 18976 KB Output is correct
50 Correct 65 ms 18864 KB Output is correct