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Submission #465056

# Submission time Handle Problem Language Result Execution time Memory
465056 2021-08-15T03:52:31 Z Qw3rTy Knapsack (NOI18_knapsack) C++11
100 / 100
 141 ms 9944 KB 
#include <bits/stdc++.h>
#define int long long
#define pi pair<int,int>
#define fi first
#define se second
#define pb push_back
using namespace std;

const int maxN = 1e5+5;
const int maxV = 2e3+5;

vector<int> d[maxV];
int S,N;
int f[maxV];

signed main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	//freopen("../test.in","r",stdin);
	cin >> S >> N;
	for(int i = 1; i <= N; ++i){
		int v,w,k; cin >> v >> w >> k;
		for(int j = 1; j <= k; j <<= 1){
			if(w * j > S)break;
			k -= j;
			d[w*j].pb(v*j);
		}
		if(k > 0 && w * k <= S)d[w*k].pb(v*k);
	}
	for(int i = 1; i <= S; ++i){
		if(d[i].size()){ //for each group of objects w/ weight = i
			sort(d[i].begin(),d[i].end(),greater<int>());
			//Consider only the first floor(S/W) objects
			int num = min(S/i,(int)(d[i].size()));
			assert(d[i].size() >= num);
			for(int j = 0; j < num; ++j){
				for(int k = S; k >= i; --k){
					f[k] = max(f[k],f[k-i] + d[i][j]);
				}
			}
		}
	}
	cout << f[S] << '\n';
}

Compilation message

In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from knapsack.cpp:1:
knapsack.cpp: In function 'int main()':
knapsack.cpp:35:23: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
   35 |    assert(d[i].size() >= num);
      |           ~~~~~~~~~~~~^~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 360 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 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 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 1 ms 332 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 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 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 1 ms 332 KB Output is correct
11 Correct 1 ms 332 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 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 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 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 360 KB Output is correct
5 Correct 0 ms 332 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 1 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 332 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 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 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 332 KB Output is correct
26 Correct 2 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 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 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 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 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 360 KB Output is correct
5 Correct 0 ms 332 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 1 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 332 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 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 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 332 KB Output is correct
26 Correct 2 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 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 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 41 ms 2348 KB Output is correct
36 Correct 141 ms 9944 KB Output is correct
37 Correct 38 ms 2380 KB Output is correct
38 Correct 39 ms 2600 KB Output is correct
39 Correct 46 ms 3380 KB Output is correct
40 Correct 66 ms 4824 KB Output is correct
41 Correct 50 ms 2860 KB Output is correct
42 Correct 52 ms 3700 KB Output is correct
43 Correct 52 ms 3452 KB Output is correct
44 Correct 54 ms 3684 KB Output is correct
45 Correct 51 ms 4548 KB Output is correct
46 Correct 35 ms 3208 KB Output is correct
47 Correct 53 ms 4640 KB Output is correct
48 Correct 58 ms 4772 KB Output is correct
49 Correct 38 ms 4476 KB Output is correct
50 Correct 105 ms 8904 KB Output is correct