Submission #490621

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
490621	2021-11-28T10:59:03 Z	lolipop	Knapsack (NOI18_knapsack)	C++17	49 / 100	1000 ms	1872 KB

knapsack

//looking for 49 points(subtasks 1 - 3)

#include<bits/stdc++.h>

using namespace std;

#define int long long

using ll = long long;
using ii = pair <int, int>;

const int maxn = 105, maxk = 15, maxs = 2005;

int n, s;
int V[maxn], W[maxn], K[maxs];
int dp[maxn][maxs];

main () {
  ios::sync_with_stdio(0); cin.tie(0);
#ifdef LOCAL
  freopen("in.txt", "r", stdin);
#endif
  cin >> s >> n;
  for (int i = 1; i <= n; ++i) {
    cin >> V[i] >> W[i] >> K[i];
  }
  int ans = 0;
  if (n == 1) {
    int take = s / W[1];
    ans = take > K[1] ? K[1] * V[1] : take * V[1];
    cout << ans;
    return 0;
  }
  for (int i = 1; i <= n; ++i) {
    for (int j = 0; j <= s; ++j) {
      for (int k = 0; k <= K[i]; ++k) {
        int tot = k * W[i];
        if (j - tot >= 0) dp[i][j] = max(dp[i][j], dp[i - 1][j - tot] + k * V[i]);
        dp[i][j] = max(dp[i][j], dp[i - 1][j]);
        ans = max(ans, dp[i][j]);
      }
    }
  }
  cout << ans;
  return 0;
}
/*
array bound?
overflow?
print newline after every cases
idea correct?
*/

Compilation message

knapsack.cpp:18:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   18 | main () {
      | ^~~~

Subtask #1

12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	0 ms	204 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct

Subtask #2

17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	716 KB	Output is correct
2	Correct	2 ms	1868 KB	Output is correct
3	Correct	3 ms	1740 KB	Output is correct
4	Correct	2 ms	1868 KB	Output is correct
5	Correct	3 ms	1740 KB	Output is correct
6	Correct	3 ms	1740 KB	Output is correct
7	Correct	3 ms	1868 KB	Output is correct
8	Correct	2 ms	1740 KB	Output is correct
9	Correct	3 ms	1740 KB	Output is correct
10	Correct	3 ms	1868 KB	Output is correct

Subtask #3

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	716 KB	Output is correct
2	Correct	2 ms	1868 KB	Output is correct
3	Correct	3 ms	1740 KB	Output is correct
4	Correct	2 ms	1868 KB	Output is correct
5	Correct	3 ms	1740 KB	Output is correct
6	Correct	3 ms	1740 KB	Output is correct
7	Correct	3 ms	1868 KB	Output is correct
8	Correct	2 ms	1740 KB	Output is correct
9	Correct	3 ms	1740 KB	Output is correct
10	Correct	3 ms	1868 KB	Output is correct
11	Correct	1 ms	768 KB	Output is correct
12	Correct	9 ms	1740 KB	Output is correct
13	Correct	2 ms	1740 KB	Output is correct
14	Correct	2 ms	1868 KB	Output is correct
15	Correct	5 ms	1868 KB	Output is correct
16	Correct	4 ms	1868 KB	Output is correct
17	Correct	3 ms	1740 KB	Output is correct
18	Correct	3 ms	1740 KB	Output is correct
19	Correct	3 ms	1740 KB	Output is correct
20	Correct	3 ms	1872 KB	Output is correct

Subtask #4

0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	0 ms	204 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct
5	Correct	1 ms	716 KB	Output is correct
6	Correct	2 ms	1868 KB	Output is correct
7	Correct	3 ms	1740 KB	Output is correct
8	Correct	2 ms	1868 KB	Output is correct
9	Correct	3 ms	1740 KB	Output is correct
10	Correct	3 ms	1740 KB	Output is correct
11	Correct	3 ms	1868 KB	Output is correct
12	Correct	2 ms	1740 KB	Output is correct
13	Correct	3 ms	1740 KB	Output is correct
14	Correct	3 ms	1868 KB	Output is correct
15	Correct	1 ms	768 KB	Output is correct
16	Correct	9 ms	1740 KB	Output is correct
17	Correct	2 ms	1740 KB	Output is correct
18	Correct	2 ms	1868 KB	Output is correct
19	Correct	5 ms	1868 KB	Output is correct
20	Correct	4 ms	1868 KB	Output is correct
21	Correct	3 ms	1740 KB	Output is correct
22	Correct	3 ms	1740 KB	Output is correct
23	Correct	3 ms	1740 KB	Output is correct
24	Correct	3 ms	1872 KB	Output is correct
25	Correct	1 ms	720 KB	Output is correct
26	Correct	444 ms	1780 KB	Output is correct
27	Correct	2 ms	1740 KB	Output is correct
28	Correct	3 ms	1868 KB	Output is correct
29	Execution timed out	1063 ms	332 KB	Time limit exceeded
30	Halted	0 ms	0 KB	-

Subtask #5

0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	0 ms	204 KB	Output is correct
3	Correct	0 ms	204 KB	Output is correct
4	Correct	0 ms	204 KB	Output is correct
5	Correct	1 ms	716 KB	Output is correct
6	Correct	2 ms	1868 KB	Output is correct
7	Correct	3 ms	1740 KB	Output is correct
8	Correct	2 ms	1868 KB	Output is correct
9	Correct	3 ms	1740 KB	Output is correct
10	Correct	3 ms	1740 KB	Output is correct
11	Correct	3 ms	1868 KB	Output is correct
12	Correct	2 ms	1740 KB	Output is correct
13	Correct	3 ms	1740 KB	Output is correct
14	Correct	3 ms	1868 KB	Output is correct
15	Correct	1 ms	768 KB	Output is correct
16	Correct	9 ms	1740 KB	Output is correct
17	Correct	2 ms	1740 KB	Output is correct
18	Correct	2 ms	1868 KB	Output is correct
19	Correct	5 ms	1868 KB	Output is correct
20	Correct	4 ms	1868 KB	Output is correct
21	Correct	3 ms	1740 KB	Output is correct
22	Correct	3 ms	1740 KB	Output is correct
23	Correct	3 ms	1740 KB	Output is correct
24	Correct	3 ms	1872 KB	Output is correct
25	Correct	1 ms	720 KB	Output is correct
26	Correct	444 ms	1780 KB	Output is correct
27	Correct	2 ms	1740 KB	Output is correct
28	Correct	3 ms	1868 KB	Output is correct
29	Execution timed out	1063 ms	332 KB	Time limit exceeded
30	Halted	0 ms	0 KB	-