oj.uz

Submission #435882

# Submission time Handle Problem Language Result Execution time Memory
435882 2021-06-23T21:12:55 Z training4usaco Knapsack (NOI18_knapsack) C++11
100 / 100
 145 ms 3664 KB 
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

#define fi first
#define se second
#define INF 1000000009

bool comp(pair<int,int> a, pair<int,int> b) {
    return a.fi > b.fi;
}

int main() {
    int s, n;
    cin >> s >> n;

    vector<vector<pair<int,int>>> val(s + 1);

    for(int i = 0; i < n; ++i) {
        int v, w, k;
        cin >> v >> w >> k;
        val[w].push_back(make_pair(v, k));
    }

    for(int i = 1; i <= s; ++i) {
        sort(val[i].begin(), val[i].end(), comp);
    }

    vector<int> dp(s + 1, -INF);
    dp[0] = 0;

    for(int i = 1; i <= s; ++i) {
        int used_space = 0;
        for(pair<int,int> item : val[i]) {
            for(int c = 1; c <= item.se; ++c) {
                used_space += i;
                for(int leftover_space = s; leftover_space >= used_space; --leftover_space) {
                    dp[leftover_space] = max(dp[leftover_space], dp[leftover_space - i] + item.fi);
                }
                if(used_space > s) {
                    break;
                }
            }
            if(used_space > s) {
                break;
            }
        }
    }

    int answer = 0;
    for(int i = 1; i <= s; ++i) {
        answer = max(answer, dp[i]);
    }
    cout << answer << endl;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 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 2 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 1 ms 332 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 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 2 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 1 ms 332 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 288 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 296 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 292 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 2 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 288 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 296 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 3 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 288 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 296 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 292 KB Output is correct
34 Correct 1 ms 332 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 292 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 2 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 288 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 296 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 3 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 288 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 296 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 292 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 84 ms 2268 KB Output is correct
36 Correct 96 ms 2516 KB Output is correct
37 Correct 85 ms 2264 KB Output is correct
38 Correct 92 ms 2532 KB Output is correct
39 Correct 118 ms 3516 KB Output is correct
40 Correct 133 ms 3480 KB Output is correct
41 Correct 103 ms 2744 KB Output is correct
42 Correct 115 ms 2756 KB Output is correct
43 Correct 101 ms 2840 KB Output is correct
44 Correct 102 ms 2768 KB Output is correct
45 Correct 121 ms 3544 KB Output is correct
46 Correct 106 ms 3128 KB Output is correct
47 Correct 145 ms 3664 KB Output is correct
48 Correct 121 ms 3444 KB Output is correct
49 Correct 103 ms 3372 KB Output is correct
50 Correct 121 ms 3236 KB Output is correct