Submission #918324

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
918324	2024-01-29T16:07:12 Z	kotnid	Knapsack (NOI18_knapsack)	C++14	100 / 100	38 ms	4956 KB

knapsack

/* 

knapsack with multiple amount 

-> express as 2^0, 2^1,.... 

*/

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<ll,ll> pii;

int main(){
    ios::sync_with_stdio(0);
    cin.tie(0);

    ll s, n;
    cin >> s >> n;

    ll dp[s+1];
    memset(dp,0,sizeof dp);

    vector<pii> weight[s+1];

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

    for(int i=1; i<=s; i++){
        sort(weight[i].begin(), weight[i].end(), greater<pii>());

        ll cnt = 0;

        for(auto [v,k]:weight[i]){
            cnt += i*k;
            ll c = 1; 
            while(c <= k){
                ll v2 = v*c, w2 = i*c;
                for(int j=s; j>=w2; j--)dp[j] = max(dp[j], dp[j-w2]+v2);
                k -= c;
                c *= 2;
            }
            if(k != 0){
                ll v2 = v*k, w2 = i*k;
                for(int j=s; j>=w2; j--)dp[j] = max(dp[j], dp[j-w2]+v2);
            }
            if(cnt > s)break;
        }
        
    }

    cout << dp[s];
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:38:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   38 |         for(auto [v,k]:weight[i]){
      |                  ^

Subtask #1
12.0 / 12.0

#	Verdict	Memory	Grader output
1	Correct	344 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	348 KB	Output is correct
4	Correct	348 KB	Output is correct

Subtask #2
17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	1 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	1 ms	516 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	416 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct

Subtask #3
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	1 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	1 ms	516 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	416 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	0 ms	344 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	344 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	344 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct

Subtask #4
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	1 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	516 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	1 ms	416 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	344 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	344 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	1 ms	348 KB	Output is correct
21	Correct	1 ms	344 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	1 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	1 ms	344 KB	Output is correct
26	Correct	1 ms	348 KB	Output is correct
27	Correct	1 ms	348 KB	Output is correct
28	Correct	1 ms	344 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	1 ms	348 KB	Output is correct
31	Correct	1 ms	348 KB	Output is correct
32	Correct	1 ms	348 KB	Output is correct
33	Correct	1 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct

Subtask #5
27.0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	1 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	516 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	1 ms	416 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	344 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	344 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	1 ms	348 KB	Output is correct
21	Correct	1 ms	344 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	1 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	1 ms	344 KB	Output is correct
26	Correct	1 ms	348 KB	Output is correct
27	Correct	1 ms	348 KB	Output is correct
28	Correct	1 ms	344 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	1 ms	348 KB	Output is correct
31	Correct	1 ms	348 KB	Output is correct
32	Correct	1 ms	348 KB	Output is correct
33	Correct	1 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	24 ms	2520 KB	Output is correct
36	Correct	24 ms	2520 KB	Output is correct
37	Correct	31 ms	3468 KB	Output is correct
38	Correct	27 ms	3768 KB	Output is correct
39	Correct	28 ms	4440 KB	Output is correct
40	Correct	27 ms	4696 KB	Output is correct
41	Correct	34 ms	3972 KB	Output is correct
42	Correct	38 ms	3928 KB	Output is correct
43	Correct	33 ms	4188 KB	Output is correct
44	Correct	35 ms	3920 KB	Output is correct
45	Correct	25 ms	4660 KB	Output is correct
46	Correct	27 ms	4056 KB	Output is correct
47	Correct	26 ms	4956 KB	Output is correct
48	Correct	27 ms	4956 KB	Output is correct
49	Correct	24 ms	4432 KB	Output is correct
50	Correct	24 ms	4188 KB	Output is correct

Submission #918324

Compilation message

Subtask #1 12.0 / 12.0

Subtask #2 17.0 / 17.0

Subtask #3 20.0 / 20.0

Subtask #4 24.0 / 24.0

Subtask #5 27.0 / 27.0

Subtask #1
12.0 / 12.0

Subtask #2
17.0 / 17.0

Subtask #3
20.0 / 20.0

Subtask #4
24.0 / 24.0

Subtask #5
27.0 / 27.0