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Submission #639503

# Submission time Handle Problem Language Result Execution time Memory
639503 2022-09-10T09:18:33 Z a_aguilo Knapsack (NOI18_knapsack) C++14
100 / 100
 215 ms 37456 KB 
#include<bits/stdc++.h>

using namespace std;

typedef vector<long long int> vi;
typedef vector<vi> vvi;

vvi dp;
vi values, weight, freqs;

int S, N;

int main(){
    cin >> S >> N;
    dp = vvi(S+1, vi(S+1, 0));
    values = vi(N);
    weight = vi(N);
    freqs = vi(N);
    vector<vector<pair<int, int>>> itemsWithWeight(S+1);
    for(int i = 0; i < N; ++i) {
        cin >> values[i] >> weight[i] >> freqs[i];
        itemsWithWeight[weight[i]].push_back({values[i], freqs[i]});
    }
    //cout << "a" << endl;
    for(int i = 0; i <=S; ++i)sort(itemsWithWeight[i].rbegin(), itemsWithWeight[i].rend());
    //cout << "a" << endl;
    long long int ans = 0;
    for(int i = 1; i <= S; ++i){
        for(int weight = 0; weight <= S; ++weight){
            int accumulatedWeight = 0;
            int accumulatedValue = 0;
            dp[weight][i] = dp[weight][i-1];
            ans = max(ans, dp[weight][i]);
            for(pair<int, int> item: itemsWithWeight[i]){
                int myVal = item.first;
                int reps = item.second;
                for(int rep = 0; rep < reps; ++rep){
                    accumulatedWeight += i;
                    accumulatedValue += myVal;
                    if(accumulatedWeight > weight) break;
                    dp[weight][i] = max(dp[weight][i], dp[weight - accumulatedWeight][i-1] + accumulatedValue);
                    ans = max(ans, dp[weight][i]);
                }
                if(accumulatedWeight > weight) break;
            }
        }
    }
    cout << ans << endl;
    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12244 KB Output is correct
2 Correct 16 ms 12244 KB Output is correct
3 Correct 16 ms 12200 KB Output is correct
4 Correct 16 ms 12316 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 300 KB Output is correct
2 Correct 46 ms 31700 KB Output is correct
3 Correct 49 ms 31700 KB Output is correct
4 Correct 47 ms 31620 KB Output is correct
5 Correct 55 ms 31616 KB Output is correct
6 Correct 52 ms 31752 KB Output is correct
7 Correct 49 ms 31732 KB Output is correct
8 Correct 49 ms 31572 KB Output is correct
9 Correct 51 ms 31676 KB Output is correct
10 Correct 59 ms 31660 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 300 KB Output is correct
2 Correct 46 ms 31700 KB Output is correct
3 Correct 49 ms 31700 KB Output is correct
4 Correct 47 ms 31620 KB Output is correct
5 Correct 55 ms 31616 KB Output is correct
6 Correct 52 ms 31752 KB Output is correct
7 Correct 49 ms 31732 KB Output is correct
8 Correct 49 ms 31572 KB Output is correct
9 Correct 51 ms 31676 KB Output is correct
10 Correct 59 ms 31660 KB Output is correct
11 Correct 1 ms 300 KB Output is correct
12 Correct 54 ms 31728 KB Output is correct
13 Correct 49 ms 31572 KB Output is correct
14 Correct 46 ms 31752 KB Output is correct
15 Correct 45 ms 31572 KB Output is correct
16 Correct 49 ms 31660 KB Output is correct
17 Correct 51 ms 31568 KB Output is correct
18 Correct 54 ms 31688 KB Output is correct
19 Correct 49 ms 31692 KB Output is correct
20 Correct 50 ms 31672 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12244 KB Output is correct
2 Correct 16 ms 12244 KB Output is correct
3 Correct 16 ms 12200 KB Output is correct
4 Correct 16 ms 12316 KB Output is correct
5 Correct 1 ms 300 KB Output is correct
6 Correct 46 ms 31700 KB Output is correct
7 Correct 49 ms 31700 KB Output is correct
8 Correct 47 ms 31620 KB Output is correct
9 Correct 55 ms 31616 KB Output is correct
10 Correct 52 ms 31752 KB Output is correct
11 Correct 49 ms 31732 KB Output is correct
12 Correct 49 ms 31572 KB Output is correct
13 Correct 51 ms 31676 KB Output is correct
14 Correct 59 ms 31660 KB Output is correct
15 Correct 1 ms 300 KB Output is correct
16 Correct 54 ms 31728 KB Output is correct
17 Correct 49 ms 31572 KB Output is correct
18 Correct 46 ms 31752 KB Output is correct
19 Correct 45 ms 31572 KB Output is correct
20 Correct 49 ms 31660 KB Output is correct
21 Correct 51 ms 31568 KB Output is correct
22 Correct 54 ms 31688 KB Output is correct
23 Correct 49 ms 31692 KB Output is correct
24 Correct 50 ms 31672 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 58 ms 31700 KB Output is correct
27 Correct 60 ms 31748 KB Output is correct
28 Correct 51 ms 31720 KB Output is correct
29 Correct 49 ms 31584 KB Output is correct
30 Correct 52 ms 31732 KB Output is correct
31 Correct 49 ms 31732 KB Output is correct
32 Correct 48 ms 31572 KB Output is correct
33 Correct 48 ms 31620 KB Output is correct
34 Correct 53 ms 31660 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12244 KB Output is correct
2 Correct 16 ms 12244 KB Output is correct
3 Correct 16 ms 12200 KB Output is correct
4 Correct 16 ms 12316 KB Output is correct
5 Correct 1 ms 300 KB Output is correct
6 Correct 46 ms 31700 KB Output is correct
7 Correct 49 ms 31700 KB Output is correct
8 Correct 47 ms 31620 KB Output is correct
9 Correct 55 ms 31616 KB Output is correct
10 Correct 52 ms 31752 KB Output is correct
11 Correct 49 ms 31732 KB Output is correct
12 Correct 49 ms 31572 KB Output is correct
13 Correct 51 ms 31676 KB Output is correct
14 Correct 59 ms 31660 KB Output is correct
15 Correct 1 ms 300 KB Output is correct
16 Correct 54 ms 31728 KB Output is correct
17 Correct 49 ms 31572 KB Output is correct
18 Correct 46 ms 31752 KB Output is correct
19 Correct 45 ms 31572 KB Output is correct
20 Correct 49 ms 31660 KB Output is correct
21 Correct 51 ms 31568 KB Output is correct
22 Correct 54 ms 31688 KB Output is correct
23 Correct 49 ms 31692 KB Output is correct
24 Correct 50 ms 31672 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 58 ms 31700 KB Output is correct
27 Correct 60 ms 31748 KB Output is correct
28 Correct 51 ms 31720 KB Output is correct
29 Correct 49 ms 31584 KB Output is correct
30 Correct 52 ms 31732 KB Output is correct
31 Correct 49 ms 31732 KB Output is correct
32 Correct 48 ms 31572 KB Output is correct
33 Correct 48 ms 31620 KB Output is correct
34 Correct 53 ms 31660 KB Output is correct
35 Correct 67 ms 4772 KB Output is correct
36 Correct 129 ms 36288 KB Output is correct
37 Correct 117 ms 36128 KB Output is correct
38 Correct 116 ms 36532 KB Output is correct
39 Correct 162 ms 37188 KB Output is correct
40 Correct 215 ms 37344 KB Output is correct
41 Correct 164 ms 36480 KB Output is correct
42 Correct 164 ms 36576 KB Output is correct
43 Correct 202 ms 36592 KB Output is correct
44 Correct 188 ms 36480 KB Output is correct
45 Correct 143 ms 37424 KB Output is correct
46 Correct 148 ms 36936 KB Output is correct
47 Correct 143 ms 37456 KB Output is correct
48 Correct 178 ms 37328 KB Output is correct
49 Correct 162 ms 37184 KB Output is correct
50 Correct 176 ms 37084 KB Output is correct