답안 #447765

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
447765	2021-07-27T13:20:07 Z	Neos	Knapsack (NOI18_knapsack)	C++14	100 / 100	75 ms	5196 KB

knapsack

#include <bits/stdc++.h>
 
using namespace std;
 
typedef vector<pair<long long, long long>> vii;
 
#define pb push_back
#define all(x) x.begin(), x.end()
 
const int V = 1e6 + 7;
const int N = 1e5 + 7;
const int S = 2e3 + 7;
const int inf = 1e9;
 
long long s, n, v[N], w[N], k[N];
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
 
  #ifndef ONLINE_JUDGE
  // freopen("test.inp", "r", stdin);
  //freopen("test.out", "w", stdout);
  #endif
 
  cin >> s >> n;
  for (int i = 1; i <= n; i++) cin >> v[i] >> w[i] >> k[i];
 
  int mx = *max_element(k, k + n);
  // Subtask 1
  if (n == 1) {
    cout << v[1] * min(s / w[1], k[1]) << endl;
  }
  // Subtask 2 & 3: Normal knapsack
  else if (1 <= n && n <= 100 && mx <= 10) {
    long long dp[2001];
    memset(dp, 0, sizeof dp);
    for (int i = 1; i <= n; i++) 
      for (int j = s; j >= w[i]; j--)
        for (int t = 0; t <= k[i]; t++)
          if (j >= w[i] * t) {
            dp[j] = max(dp[j], dp[j - w[i] * t] + v[i] * t);
          }
    cout << dp[s] << endl;
  }
  // Subtask 4 & 5: knapsack with observation
  else if (1 <= n && n <= 1e5 && mx <= 1e9) {
 
    /*
      Observation: The numbers of taken product must less than S since 1 <= Wi <= S -> maximum taken product: S / W[i]
      -> consider the top valued S/W[i] items for each W[i]
    */
    vii obj[S];
    long long dp[2001];
    memset(dp, 0, sizeof dp);
    for (int i = 1; i <= n; i++) {
      obj[w[i]].pb({v[i], k[i]});
    }
 
    for (int i = 0; i <= s; i++) {
      if (obj[i].size() == 0) continue;
      sort(all(obj[i]), greater<pair<int, int>>());
 
      int id = 0;
      for (int j = 0; j * i < s; j++) {
        if (id >= obj[i].size()) break;
        for (int k = s; k >= i; k--) {
          dp[k] = max(dp[k], dp[k - i] + obj[i][id].first);
        }
        --obj[i][id].second;
        if (obj[i][id].second == 0) ++id;
      }
    }
    cout << dp[s] << endl;
  } 
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:66:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |         if (id >= obj[i].size()) break;
      |             ~~~^~~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

#	결과	메모리	Grader output
1	Correct	332 KB	Output is correct
2	Correct	332 KB	Output is correct
3	Correct	332 KB	Output is correct
4	Correct	332 KB	Output is correct

Subtask #2
17.0 / 17.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	0 ms	332 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

Subtask #3
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	328 KB	Output is correct
4	Correct	0 ms	332 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	6 ms	332 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	0 ms	332 KB	Output is correct
15	Correct	0 ms	332 KB	Output is correct
16	Correct	2 ms	388 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	2 ms	332 KB	Output is correct

Subtask #4
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	0 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 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	328 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	0 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	6 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	0 ms	332 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	2 ms	388 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	2 ms	332 KB	Output is correct
25	Correct	0 ms	332 KB	Output is correct
26	Correct	4 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	2 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

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	332 KB	Output is correct
2	Correct	0 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 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	328 KB	Output is correct
8	Correct	0 ms	332 KB	Output is correct
9	Correct	0 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	6 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	0 ms	332 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	2 ms	388 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	2 ms	332 KB	Output is correct
25	Correct	0 ms	332 KB	Output is correct
26	Correct	4 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	2 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	37 ms	4844 KB	Output is correct
36	Correct	46 ms	4876 KB	Output is correct
37	Correct	41 ms	4824 KB	Output is correct
38	Correct	41 ms	4644 KB	Output is correct
39	Correct	49 ms	4540 KB	Output is correct
40	Correct	75 ms	4936 KB	Output is correct
41	Correct	51 ms	4940 KB	Output is correct
42	Correct	53 ms	4928 KB	Output is correct
43	Correct	66 ms	5020 KB	Output is correct
44	Correct	64 ms	5028 KB	Output is correct
45	Correct	46 ms	5008 KB	Output is correct
46	Correct	44 ms	4868 KB	Output is correct
47	Correct	50 ms	5196 KB	Output is correct
48	Correct	56 ms	4860 KB	Output is correct
49	Correct	44 ms	5068 KB	Output is correct
50	Correct	59 ms	4656 KB	Output is correct

답안 #447765

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