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Submission #401388

# Submission time Handle Problem Language Result Execution time Memory
401388 2021-05-10T06:01:37 Z Alex_tz307 Knapsack (NOI18_knapsack) C++17
100 / 100
 70 ms 5500 KB 
#include <bits/stdc++.h>

using namespace std;

void fastIO() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cout.tie(nullptr);
}

struct item {
  int v, w, k;

  void read() {
    cin >> v >> w >> k;
  }

  bool operator < (const item &A) const {
    if (v != A.v)
      return v > A.v;
    return k > A.k;
  }
};

void max_self(int &a, int b) {
  a = max(a, b);
}

void test_case() {
  int S, N;
  cin >> S >> N;
  vector<item> a(N), wt[S + 1];
  for (int i = 0; i < N; ++i) {
    a[i].read();
    wt[a[i].w].emplace_back(a[i]);
  }
  vector<pair<int,int>> v;
  for (int w = 0; w <= S; ++w)
    if (!wt[w].empty()) {
      sort(wt[w].begin(), wt[w].end());
      int p = 0, sum = 0;
      while (p < (int)wt[w].size() && sum <= S) {
        int lim = min(wt[w][p].k, (S - sum) / wt[w][p].w);
        sum += w * lim;
        for (int i = 0; i < lim; ++i)
          v.emplace_back(wt[w][p].v, wt[w][p].w);
        ++p;
      }
    }
  vector<int> dp(S + 1);
  for (auto p : v) {
    int v = p.first, w = p.second;
    for (int wt = S - w; wt >= 0; --wt)
      max_self(dp[wt + w], dp[wt] + v);
  }
  int ans = 0;
  for (int w = 1; w <= S; ++w)
    max_self(ans, dp[w]);
  cout << ans << '\n';
}

void solve() {
  int T = 1;
  for (int tc = 0; tc < T; ++tc)
    test_case();
}

int main() {
  fastIO();
  solve();
  return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 312 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

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 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 316 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 1 ms 204 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 316 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 316 KB Output is correct
12 Correct 3 ms 336 KB Output is correct
13 Correct 1 ms 316 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 316 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 312 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 204 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 316 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 3 ms 336 KB Output is correct
17 Correct 1 ms 316 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 316 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 204 KB Output is correct
26 Correct 5 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

# Verdict Execution time Memory Grader output
1 Correct 1 ms 312 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 204 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 316 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 3 ms 336 KB Output is correct
17 Correct 1 ms 316 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 316 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 204 KB Output is correct
26 Correct 5 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 39 ms 4032 KB Output is correct
36 Correct 45 ms 4184 KB Output is correct
37 Correct 39 ms 4036 KB Output is correct
38 Correct 40 ms 4368 KB Output is correct
39 Correct 50 ms 4928 KB Output is correct
40 Correct 70 ms 5500 KB Output is correct
41 Correct 64 ms 4680 KB Output is correct
42 Correct 53 ms 4740 KB Output is correct
43 Correct 63 ms 4904 KB Output is correct
44 Correct 63 ms 4932 KB Output is correct
45 Correct 50 ms 5240 KB Output is correct
46 Correct 44 ms 4704 KB Output is correct
47 Correct 57 ms 5484 KB Output is correct
48 Correct 69 ms 5400 KB Output is correct
49 Correct 43 ms 5000 KB Output is correct
50 Correct 60 ms 5056 KB Output is correct