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Submission #507538

# Submission time Handle Problem Language Result Execution time Memory
507538 2022-01-12T17:13:09 Z Saeed_247 Knapsack (NOI18_knapsack) C++14
100 / 100
 94 ms 33152 KB 
#include <bits/stdc++.h>
using namespace std;

int main() {
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    int s, n;
    cin >> s >> n;
    map<int, vector<pair<int, int>>> mp;
    for (int i = 1; i <= n; i++) {
        int v, w, a;
        cin >> v >> w >> a;
        if (w <= s && a > 0) {
            mp[w].push_back({v, a});
        }
    }
    vector<vector<long long>> dp(mp.size() + 1, vector<long long>(s + 1, INT_MIN));
    dp[0][0] = 0;
    int i = 1;
    for (auto& [w, items] : mp) {
        sort(items.begin(), items.end(), greater<pair<int, int>>());
        for (int j = 0; j <= s; j++) {
            dp[i][j] = dp[i - 1][j];
            int amt = 0, curr = 0, used = 0;
            long long x = 0;
            while ((amt + 1) * w <= j && curr < items.size()) {
                amt++;
                x += items[curr].first;
                if (dp[i - 1][j - amt * w] != INT_MIN) {
                    dp[i][j] = max(dp[i][j], dp[i - 1][j - amt * w] + x);
                }
                used++;
                if (used == items[curr].second) {
                    used = 0;
                    curr++;
                }
            }
        }
        i++;
    }
    cout << *max_element(dp.back().begin(), dp.back().end()) << '\n';
    return 0;
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:19:16: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   19 |     for (auto& [w, items] : mp) {
      |                ^
knapsack.cpp:25:47: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |             while ((amt + 1) * w <= j && curr < items.size()) {
      |                                          ~~~~~^~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 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 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 3 ms 1740 KB Output is correct
7 Correct 1 ms 1868 KB Output is correct
8 Correct 2 ms 1740 KB Output is correct
9 Correct 2 ms 1740 KB Output is correct
10 Correct 1 ms 1740 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 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 3 ms 1740 KB Output is correct
7 Correct 1 ms 1868 KB Output is correct
8 Correct 2 ms 1740 KB Output is correct
9 Correct 2 ms 1740 KB Output is correct
10 Correct 1 ms 1740 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 3 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 2 ms 1868 KB Output is correct
17 Correct 2 ms 1740 KB Output is correct
18 Correct 2 ms 1740 KB Output is correct
19 Correct 3 ms 1740 KB Output is correct
20 Correct 2 ms 1868 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 3 ms 1740 KB Output is correct
11 Correct 1 ms 1868 KB Output is correct
12 Correct 2 ms 1740 KB Output is correct
13 Correct 2 ms 1740 KB Output is correct
14 Correct 1 ms 1740 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 3 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 2 ms 1868 KB Output is correct
21 Correct 2 ms 1740 KB Output is correct
22 Correct 2 ms 1740 KB Output is correct
23 Correct 3 ms 1740 KB Output is correct
24 Correct 2 ms 1868 KB Output is correct
25 Correct 0 ms 308 KB Output is correct
26 Correct 3 ms 352 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 0 ms 332 KB Output is correct
29 Correct 0 ms 332 KB Output is correct
30 Correct 2 ms 1868 KB Output is correct
31 Correct 2 ms 1868 KB Output is correct
32 Correct 2 ms 1740 KB Output is correct
33 Correct 2 ms 1740 KB Output is correct
34 Correct 2 ms 1740 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 3 ms 1740 KB Output is correct
11 Correct 1 ms 1868 KB Output is correct
12 Correct 2 ms 1740 KB Output is correct
13 Correct 2 ms 1740 KB Output is correct
14 Correct 1 ms 1740 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 3 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 2 ms 1868 KB Output is correct
21 Correct 2 ms 1740 KB Output is correct
22 Correct 2 ms 1740 KB Output is correct
23 Correct 3 ms 1740 KB Output is correct
24 Correct 2 ms 1868 KB Output is correct
25 Correct 0 ms 308 KB Output is correct
26 Correct 3 ms 352 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 0 ms 332 KB Output is correct
29 Correct 0 ms 332 KB Output is correct
30 Correct 2 ms 1868 KB Output is correct
31 Correct 2 ms 1868 KB Output is correct
32 Correct 2 ms 1740 KB Output is correct
33 Correct 2 ms 1740 KB Output is correct
34 Correct 2 ms 1740 KB Output is correct
35 Correct 24 ms 1440 KB Output is correct
36 Correct 31 ms 1484 KB Output is correct
37 Correct 28 ms 1484 KB Output is correct
38 Correct 27 ms 1376 KB Output is correct
39 Correct 33 ms 1280 KB Output is correct
40 Correct 94 ms 33084 KB Output is correct
41 Correct 74 ms 33136 KB Output is correct
42 Correct 75 ms 33136 KB Output is correct
43 Correct 88 ms 33152 KB Output is correct
44 Correct 88 ms 33000 KB Output is correct
45 Correct 39 ms 4776 KB Output is correct
46 Correct 33 ms 1432 KB Output is correct
47 Correct 44 ms 7908 KB Output is correct
48 Correct 63 ms 17304 KB Output is correct
49 Correct 31 ms 2104 KB Output is correct
50 Correct 57 ms 2092 KB Output is correct