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Submission #549629

# Submission time Handle Problem Language Result Execution time Memory
549629 2022-04-16T07:29:56 Z aun5x Knapsack (NOI18_knapsack) C++14
100 / 100
 249 ms 40504 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double db;
const int S = 2000+1;
const int N = 1e6;

ll dp [S][S]; // dp[i][j] = using the first i items with weight i to get the sum j; = max value obtained

bool cmp (pair<int,int> &x, pair<int,int> &y)
{
    return x.first > y.first;
}

int main()
{
    int s; int n;
    cin >> s >> n;
    set<pair<ll,ll>> v[S]; // v[weight] = { {value,index} ... }
    vector<int> k(n+1);

    for (int i = 1 ;i <= n ;i++)
    {
        int a,b,c;
        cin >> a >> b >> c;
        v[b].insert({a,i});
        k[i] = c;
    }
    ll ans = 0;
    for (int i = 1; i <= s; i++) // the weights 
    {        
        for (int j = 1; j <= s; j++) // the cost
        {
            dp[i][j] = dp[i-1][j];

            ll curr_w = 0; ll val = 0; ll cnt = 0;
            auto it = v[i].end();
            if (!v[i].empty()) it--;

            while (curr_w <= s && !v[i].empty())
            {
                pair<ll,ll> u = *it;
                val+= u.first; cnt++; curr_w += i;

                if (j-curr_w >= 0)
                {
                    dp[i][j] = max(
                        dp[i][j], dp[i-1][j-curr_w] + val
                    );
                }
                
            
                if (cnt == k[u.second]) 
                {
                    if (it == v[i].begin()) break;
                    it--;
                    cnt = 0;
                    
                }
            }
            ans = max(ans, dp[i][j]);
        }
    }
    cout << ans;

}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 17236 KB Output is correct
2 Correct 12 ms 17172 KB Output is correct
3 Correct 12 ms 17172 KB Output is correct
4 Correct 14 ms 17228 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 400 KB Output is correct
2 Correct 31 ms 31628 KB Output is correct
3 Correct 27 ms 31652 KB Output is correct
4 Correct 26 ms 31592 KB Output is correct
5 Correct 25 ms 31568 KB Output is correct
6 Correct 29 ms 31644 KB Output is correct
7 Correct 26 ms 31616 KB Output is correct
8 Correct 25 ms 31564 KB Output is correct
9 Correct 25 ms 31572 KB Output is correct
10 Correct 27 ms 31624 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 400 KB Output is correct
2 Correct 31 ms 31628 KB Output is correct
3 Correct 27 ms 31652 KB Output is correct
4 Correct 26 ms 31592 KB Output is correct
5 Correct 25 ms 31568 KB Output is correct
6 Correct 29 ms 31644 KB Output is correct
7 Correct 26 ms 31616 KB Output is correct
8 Correct 25 ms 31564 KB Output is correct
9 Correct 25 ms 31572 KB Output is correct
10 Correct 27 ms 31624 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 32 ms 31616 KB Output is correct
13 Correct 28 ms 31664 KB Output is correct
14 Correct 28 ms 31624 KB Output is correct
15 Correct 26 ms 31648 KB Output is correct
16 Correct 28 ms 31692 KB Output is correct
17 Correct 28 ms 31592 KB Output is correct
18 Correct 27 ms 31620 KB Output is correct
19 Correct 27 ms 31624 KB Output is correct
20 Correct 26 ms 31612 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 17236 KB Output is correct
2 Correct 12 ms 17172 KB Output is correct
3 Correct 12 ms 17172 KB Output is correct
4 Correct 14 ms 17228 KB Output is correct
5 Correct 1 ms 400 KB Output is correct
6 Correct 31 ms 31628 KB Output is correct
7 Correct 27 ms 31652 KB Output is correct
8 Correct 26 ms 31592 KB Output is correct
9 Correct 25 ms 31568 KB Output is correct
10 Correct 29 ms 31644 KB Output is correct
11 Correct 26 ms 31616 KB Output is correct
12 Correct 25 ms 31564 KB Output is correct
13 Correct 25 ms 31572 KB Output is correct
14 Correct 27 ms 31624 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 32 ms 31616 KB Output is correct
17 Correct 28 ms 31664 KB Output is correct
18 Correct 28 ms 31624 KB Output is correct
19 Correct 26 ms 31648 KB Output is correct
20 Correct 28 ms 31692 KB Output is correct
21 Correct 28 ms 31592 KB Output is correct
22 Correct 27 ms 31620 KB Output is correct
23 Correct 27 ms 31624 KB Output is correct
24 Correct 26 ms 31612 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 32 ms 31644 KB Output is correct
27 Correct 28 ms 31648 KB Output is correct
28 Correct 26 ms 31692 KB Output is correct
29 Correct 27 ms 31692 KB Output is correct
30 Correct 27 ms 31696 KB Output is correct
31 Correct 25 ms 31612 KB Output is correct
32 Correct 26 ms 31700 KB Output is correct
33 Correct 25 ms 31644 KB Output is correct
34 Correct 26 ms 31616 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 17236 KB Output is correct
2 Correct 12 ms 17172 KB Output is correct
3 Correct 12 ms 17172 KB Output is correct
4 Correct 14 ms 17228 KB Output is correct
5 Correct 1 ms 400 KB Output is correct
6 Correct 31 ms 31628 KB Output is correct
7 Correct 27 ms 31652 KB Output is correct
8 Correct 26 ms 31592 KB Output is correct
9 Correct 25 ms 31568 KB Output is correct
10 Correct 29 ms 31644 KB Output is correct
11 Correct 26 ms 31616 KB Output is correct
12 Correct 25 ms 31564 KB Output is correct
13 Correct 25 ms 31572 KB Output is correct
14 Correct 27 ms 31624 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 32 ms 31616 KB Output is correct
17 Correct 28 ms 31664 KB Output is correct
18 Correct 28 ms 31624 KB Output is correct
19 Correct 26 ms 31648 KB Output is correct
20 Correct 28 ms 31692 KB Output is correct
21 Correct 28 ms 31592 KB Output is correct
22 Correct 27 ms 31620 KB Output is correct
23 Correct 27 ms 31624 KB Output is correct
24 Correct 26 ms 31612 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 32 ms 31644 KB Output is correct
27 Correct 28 ms 31648 KB Output is correct
28 Correct 26 ms 31692 KB Output is correct
29 Correct 27 ms 31692 KB Output is correct
30 Correct 27 ms 31696 KB Output is correct
31 Correct 25 ms 31612 KB Output is correct
32 Correct 26 ms 31700 KB Output is correct
33 Correct 25 ms 31644 KB Output is correct
34 Correct 26 ms 31616 KB Output is correct
35 Correct 128 ms 8028 KB Output is correct
36 Correct 143 ms 39628 KB Output is correct
37 Correct 181 ms 39356 KB Output is correct
38 Correct 156 ms 39628 KB Output is correct
39 Correct 152 ms 40396 KB Output is correct
40 Correct 183 ms 40396 KB Output is correct
41 Correct 249 ms 39596 KB Output is correct
42 Correct 217 ms 39636 KB Output is correct
43 Correct 207 ms 39676 KB Output is correct
44 Correct 191 ms 39592 KB Output is correct
45 Correct 151 ms 40432 KB Output is correct
46 Correct 131 ms 40504 KB Output is correct
47 Correct 166 ms 40404 KB Output is correct
48 Correct 161 ms 40428 KB Output is correct
49 Correct 122 ms 40192 KB Output is correct
50 Correct 190 ms 40308 KB Output is correct