# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
874587 |
2023-11-17T10:50:09 Z |
iag99 |
Knapsack (NOI18_knapsack) |
C++17 |
|
132 ms |
37284 KB |
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
int main()
{
int s,n;
cin>>s>>n;
vector<int> w(n);
vector<ll> v(n),k(n);
//w_i <= 2000
//n <= 1e5
map<int,vector<pair<int,int> > > mp;
for(int i=0; i<n; i++)
{
cin>>v[i]>>w[i]>>k[i];
if(w[i]<=s && k[i]>0) mp[w[i]].push_back(make_pair(v[i],k[i]));
}
vector<vector<ll> > dp(mp.size()+1, vector<ll>(s+1, INT_MIN));
dp[0][0]=0;
int at=1;
/*
* dp[i][w]= answer after processing first i items, weight=w
* dp[i][w]=max(dp[i-1][w], dp[i-1][w-w[i]]+v[i])
* Sort each copy of an item by value, only take the greatest S/w_i copies
*/
for(auto &[w,items] : mp)
{
sort(items.begin(), items.end(), greater<pair<int,int>>());
for(int i=0; i<=s; i++)
{
dp[at][i]=dp[at-1][i];
int copies=0;
int type_at=0;
int curr_used=0;
ll profit=0;
while((copies+1)*w <= i && type_at < items.size())
{
copies++;
profit+=items[type_at].first;
if(dp[at-1][i-copies*w]!=INT_MIN)
{
dp[at][i]=max(dp[at][i], dp[at-1][i-copies*w]+profit);
}
curr_used++;
if(curr_used==items[type_at].second)
{
curr_used=0;
type_at++;
}
}
}
at++;
}
cout << *std::max_element(dp.back().begin(), dp.back().end()) << endl;
return 0;
}
Compilation message
knapsack.cpp: In function 'int main()':
knapsack.cpp:39:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
39 | while((copies+1)*w <= i && type_at < items.size())
| ~~~~~~~~^~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
436 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
1884 KB |
Output is correct |
7 |
Correct |
2 ms |
2132 KB |
Output is correct |
8 |
Correct |
2 ms |
1884 KB |
Output is correct |
9 |
Correct |
1 ms |
1884 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
2 ms |
1884 KB |
Output is correct |
7 |
Correct |
2 ms |
2132 KB |
Output is correct |
8 |
Correct |
2 ms |
1884 KB |
Output is correct |
9 |
Correct |
1 ms |
1884 KB |
Output is correct |
10 |
Correct |
1 ms |
1884 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
3 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
2 ms |
1884 KB |
Output is correct |
17 |
Correct |
1 ms |
2136 KB |
Output is correct |
18 |
Correct |
1 ms |
1884 KB |
Output is correct |
19 |
Correct |
2 ms |
1884 KB |
Output is correct |
20 |
Correct |
3 ms |
1884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
436 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
1884 KB |
Output is correct |
11 |
Correct |
2 ms |
2132 KB |
Output is correct |
12 |
Correct |
2 ms |
1884 KB |
Output is correct |
13 |
Correct |
1 ms |
1884 KB |
Output is correct |
14 |
Correct |
1 ms |
1884 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
3 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
2 ms |
1884 KB |
Output is correct |
21 |
Correct |
1 ms |
2136 KB |
Output is correct |
22 |
Correct |
1 ms |
1884 KB |
Output is correct |
23 |
Correct |
2 ms |
1884 KB |
Output is correct |
24 |
Correct |
3 ms |
1884 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
3 ms |
600 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
3 ms |
1884 KB |
Output is correct |
31 |
Correct |
2 ms |
1884 KB |
Output is correct |
32 |
Correct |
1 ms |
1884 KB |
Output is correct |
33 |
Correct |
2 ms |
1972 KB |
Output is correct |
34 |
Correct |
2 ms |
1884 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
436 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
2 ms |
1884 KB |
Output is correct |
11 |
Correct |
2 ms |
2132 KB |
Output is correct |
12 |
Correct |
2 ms |
1884 KB |
Output is correct |
13 |
Correct |
1 ms |
1884 KB |
Output is correct |
14 |
Correct |
1 ms |
1884 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
3 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
2 ms |
1884 KB |
Output is correct |
21 |
Correct |
1 ms |
2136 KB |
Output is correct |
22 |
Correct |
1 ms |
1884 KB |
Output is correct |
23 |
Correct |
2 ms |
1884 KB |
Output is correct |
24 |
Correct |
3 ms |
1884 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
3 ms |
600 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
3 ms |
1884 KB |
Output is correct |
31 |
Correct |
2 ms |
1884 KB |
Output is correct |
32 |
Correct |
1 ms |
1884 KB |
Output is correct |
33 |
Correct |
2 ms |
1972 KB |
Output is correct |
34 |
Correct |
2 ms |
1884 KB |
Output is correct |
35 |
Correct |
55 ms |
4200 KB |
Output is correct |
36 |
Correct |
60 ms |
4560 KB |
Output is correct |
37 |
Correct |
57 ms |
4308 KB |
Output is correct |
38 |
Correct |
70 ms |
4740 KB |
Output is correct |
39 |
Correct |
73 ms |
5320 KB |
Output is correct |
40 |
Correct |
117 ms |
37284 KB |
Output is correct |
41 |
Correct |
95 ms |
36472 KB |
Output is correct |
42 |
Correct |
96 ms |
36528 KB |
Output is correct |
43 |
Correct |
132 ms |
36516 KB |
Output is correct |
44 |
Correct |
98 ms |
36196 KB |
Output is correct |
45 |
Correct |
87 ms |
8780 KB |
Output is correct |
46 |
Correct |
77 ms |
5064 KB |
Output is correct |
47 |
Correct |
82 ms |
12248 KB |
Output is correct |
48 |
Correct |
117 ms |
21332 KB |
Output is correct |
49 |
Correct |
84 ms |
5796 KB |
Output is correct |
50 |
Correct |
87 ms |
6028 KB |
Output is correct |