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Submission #671977

# Submission time Handle Problem Language Result Execution time Memory
671977 2022-12-14T13:45:17 Z stevancv Knapsack (NOI18_knapsack) C++14
100 / 100
 60 ms 3860 KB 
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 1e6 + 2;
const int mod = 1e9 + 7;
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int s, n;
    cin >> s >> n;
    vector<vector<pair<int, int>>> items(s + 1);
    for (int i = 0; i < n; i++) {
        int a, b, c;
        cin >> a >> b >> c;
        items[b].push_back({a, c});
    }
    vector<pair<int, int>> v;
    for (int i = 1; i <= s; i++) {
        sort(items[i].begin(), items[i].end());
        int x = s / i;
        while (!items[i].empty() && x > 0) {
            int k = min(x, items[i].back().second);
            x -= k;
            while (k--) v.push_back({i, items[i].back().first});
            items[i].pop_back();
        }
    }
    vector<int> dp(s + 1, -1e9);
    dp[0] = 0;
    for (int i = 0; i < v.size(); i++) {
        int x = v[i].first; int y = v[i].second;
        for (int j = s; j >= x; j--) if (dp[j - x] != -1e9) smax(dp[j], dp[j - x] + y);
    }
    for (int i = 1; i <= s; i++) smax(dp[i], dp[i - 1]);
    cout << dp[s] << en;
    return 0;
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:36:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 ms 340 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 316 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 324 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 316 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 1 ms 324 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
31 Correct 1 ms 320 KB Output is correct
32 Correct 1 ms 316 KB Output is correct
33 Correct 1 ms 320 KB Output is correct
34 Correct 1 ms 340 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 316 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 1 ms 324 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
31 Correct 1 ms 320 KB Output is correct
32 Correct 1 ms 316 KB Output is correct
33 Correct 1 ms 320 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 25 ms 2260 KB Output is correct
36 Correct 31 ms 2536 KB Output is correct
37 Correct 29 ms 2356 KB Output is correct
38 Correct 27 ms 2752 KB Output is correct
39 Correct 36 ms 3336 KB Output is correct
40 Correct 60 ms 3860 KB Output is correct
41 Correct 40 ms 3016 KB Output is correct
42 Correct 40 ms 2984 KB Output is correct
43 Correct 50 ms 3020 KB Output is correct
44 Correct 50 ms 3020 KB Output is correct
45 Correct 34 ms 3660 KB Output is correct
46 Correct 32 ms 3200 KB Output is correct
47 Correct 36 ms 3752 KB Output is correct
48 Correct 42 ms 3676 KB Output is correct
49 Correct 30 ms 3392 KB Output is correct
50 Correct 45 ms 3384 KB Output is correct