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Submission #469494

# Submission time Handle Problem Language Result Execution time Memory
469494 2021-09-01T07:41:41 Z Croco Knapsack (NOI18_knapsack) C++17
100 / 100
 114 ms 35936 KB 
#include <bits/stdc++.h>
#define int long long int
#define ll long long

using namespace std;

const int N = 5e5+5;

vector<pair<int,int>> item[2005];

int dp[2005][2005];

signed main()
{
    ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    int s,n;
    cin>>s>>n;
    for(int i=0;i<n;i++)
    {
        int val,w,amt;
        cin>>val>>w>>amt;
        if(w <= s && amt > 0)
            item[w].push_back({val,amt});
    }
    for(int i=0;i<2005;i++)
        for(int j=0;j<2005;j++)
            dp[i][j] = INT32_MIN;
    dp[0][0] = 0;
    int ans = 0;
    for(int i=1;i<=s;i++)
    {
        sort(item[i].begin(),item[i].end(),greater<pair<int,int>>());
        for(int j=0;j<=s;j++)
        {
            dp[i][j] = dp[i-1][j];
            int copies = 0;
            int profit = 0;
            int at = 0;
            int used = 0;
            while((copies + 1)*i <= j && at < item[i].size())
            {
                copies++;
                profit += item[i][at].first;
                if(dp[i-1][j - copies*i] != INT32_MIN)
                {
                    dp[i][j] = max(dp[i][j],dp[i-1][j-copies*i] + profit);
                    ans = max(ans,dp[i][j]);
                }
                used++;
                if(used == item[i][at].second)
                {
                    used = 0;
                    at++;
                }
            }
        }
    }
    cout << ans;
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:40:45: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |             while((copies + 1)*i <= j && at < item[i].size())
      |                                          ~~~^~~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 31820 KB Output is correct
2 Correct 17 ms 31820 KB Output is correct
3 Correct 17 ms 31820 KB Output is correct
4 Correct 17 ms 31716 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 31736 KB Output is correct
2 Correct 22 ms 31784 KB Output is correct
3 Correct 22 ms 31820 KB Output is correct
4 Correct 21 ms 31840 KB Output is correct
5 Correct 21 ms 31732 KB Output is correct
6 Correct 21 ms 31768 KB Output is correct
7 Correct 22 ms 31824 KB Output is correct
8 Correct 22 ms 31820 KB Output is correct
9 Correct 21 ms 31820 KB Output is correct
10 Correct 26 ms 31820 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 31736 KB Output is correct
2 Correct 22 ms 31784 KB Output is correct
3 Correct 22 ms 31820 KB Output is correct
4 Correct 21 ms 31840 KB Output is correct
5 Correct 21 ms 31732 KB Output is correct
6 Correct 21 ms 31768 KB Output is correct
7 Correct 22 ms 31824 KB Output is correct
8 Correct 22 ms 31820 KB Output is correct
9 Correct 21 ms 31820 KB Output is correct
10 Correct 26 ms 31820 KB Output is correct
11 Correct 15 ms 31804 KB Output is correct
12 Correct 23 ms 31820 KB Output is correct
13 Correct 21 ms 31836 KB Output is correct
14 Correct 22 ms 31740 KB Output is correct
15 Correct 21 ms 31820 KB Output is correct
16 Correct 22 ms 31820 KB Output is correct
17 Correct 22 ms 31736 KB Output is correct
18 Correct 22 ms 31752 KB Output is correct
19 Correct 22 ms 31820 KB Output is correct
20 Correct 22 ms 31840 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 31820 KB Output is correct
2 Correct 17 ms 31820 KB Output is correct
3 Correct 17 ms 31820 KB Output is correct
4 Correct 17 ms 31716 KB Output is correct
5 Correct 15 ms 31736 KB Output is correct
6 Correct 22 ms 31784 KB Output is correct
7 Correct 22 ms 31820 KB Output is correct
8 Correct 21 ms 31840 KB Output is correct
9 Correct 21 ms 31732 KB Output is correct
10 Correct 21 ms 31768 KB Output is correct
11 Correct 22 ms 31824 KB Output is correct
12 Correct 22 ms 31820 KB Output is correct
13 Correct 21 ms 31820 KB Output is correct
14 Correct 26 ms 31820 KB Output is correct
15 Correct 15 ms 31804 KB Output is correct
16 Correct 23 ms 31820 KB Output is correct
17 Correct 21 ms 31836 KB Output is correct
18 Correct 22 ms 31740 KB Output is correct
19 Correct 21 ms 31820 KB Output is correct
20 Correct 22 ms 31820 KB Output is correct
21 Correct 22 ms 31736 KB Output is correct
22 Correct 22 ms 31752 KB Output is correct
23 Correct 22 ms 31820 KB Output is correct
24 Correct 22 ms 31840 KB Output is correct
25 Correct 14 ms 31820 KB Output is correct
26 Correct 24 ms 31752 KB Output is correct
27 Correct 26 ms 31772 KB Output is correct
28 Correct 23 ms 31736 KB Output is correct
29 Correct 21 ms 31736 KB Output is correct
30 Correct 23 ms 31728 KB Output is correct
31 Correct 22 ms 31836 KB Output is correct
32 Correct 21 ms 31840 KB Output is correct
33 Correct 21 ms 31820 KB Output is correct
34 Correct 22 ms 31832 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 31820 KB Output is correct
2 Correct 17 ms 31820 KB Output is correct
3 Correct 17 ms 31820 KB Output is correct
4 Correct 17 ms 31716 KB Output is correct
5 Correct 15 ms 31736 KB Output is correct
6 Correct 22 ms 31784 KB Output is correct
7 Correct 22 ms 31820 KB Output is correct
8 Correct 21 ms 31840 KB Output is correct
9 Correct 21 ms 31732 KB Output is correct
10 Correct 21 ms 31768 KB Output is correct
11 Correct 22 ms 31824 KB Output is correct
12 Correct 22 ms 31820 KB Output is correct
13 Correct 21 ms 31820 KB Output is correct
14 Correct 26 ms 31820 KB Output is correct
15 Correct 15 ms 31804 KB Output is correct
16 Correct 23 ms 31820 KB Output is correct
17 Correct 21 ms 31836 KB Output is correct
18 Correct 22 ms 31740 KB Output is correct
19 Correct 21 ms 31820 KB Output is correct
20 Correct 22 ms 31820 KB Output is correct
21 Correct 22 ms 31736 KB Output is correct
22 Correct 22 ms 31752 KB Output is correct
23 Correct 22 ms 31820 KB Output is correct
24 Correct 22 ms 31840 KB Output is correct
25 Correct 14 ms 31820 KB Output is correct
26 Correct 24 ms 31752 KB Output is correct
27 Correct 26 ms 31772 KB Output is correct
28 Correct 23 ms 31736 KB Output is correct
29 Correct 21 ms 31736 KB Output is correct
30 Correct 23 ms 31728 KB Output is correct
31 Correct 22 ms 31836 KB Output is correct
32 Correct 21 ms 31840 KB Output is correct
33 Correct 21 ms 31820 KB Output is correct
34 Correct 22 ms 31832 KB Output is correct
35 Correct 58 ms 33720 KB Output is correct
36 Correct 62 ms 33600 KB Output is correct
37 Correct 73 ms 33724 KB Output is correct
38 Correct 59 ms 33992 KB Output is correct
39 Correct 66 ms 33816 KB Output is correct
40 Correct 114 ms 34352 KB Output is correct
41 Correct 89 ms 34248 KB Output is correct
42 Correct 89 ms 34308 KB Output is correct
43 Correct 108 ms 34344 KB Output is correct
44 Correct 104 ms 34268 KB Output is correct
45 Correct 65 ms 34244 KB Output is correct
46 Correct 63 ms 33620 KB Output is correct
47 Correct 70 ms 34556 KB Output is correct
48 Correct 84 ms 34248 KB Output is correct
49 Correct 61 ms 35936 KB Output is correct
50 Correct 89 ms 35676 KB Output is correct