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Submission #403074

# Submission time Handle Problem Language Result Execution time Memory
403074 2021-05-12T17:46:19 Z rama_pang Kitchen (BOI19_kitchen) C++17
100 / 100
 107 ms 588 KB 
#include <bits/stdc++.h>
using namespace std;

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);

  int N, M, K;
  cin >> N >> M >> K;
  vector<int> A(N), B(M);
  for (int i = 0; i < N; i++) {
    cin >> A[i];
  }
  for (int i = 0; i < M; i++) {
    cin >> B[i];
  }

  for (int i = 0; i < N; i++) {
    if (A[i] < K) {
      cout << "Impossible\n";
      return 0;
    }
  }

  // There are N * K special slots, and sum(A) - N * K non-special slots
  // Each chef can contribute to at most N special slots
  // dp[chef][total_sum] = max number of special slots we can fill, if
  // we have "total_sum" working chef hours.
  // Time complexity: O(M^2 B_max).

  int S = accumulate(begin(B), end(B), 0);
  vector<int> dp(S + 1, -1e9);
  dp[0] = 0;
  for (int i = 0; i < M; i++) {
    for (int j = S - B[i]; j >= 0; j--) {
      dp[j + B[i]] = max(dp[j + B[i]], dp[j] + min(N, B[i]));
    }
  }

  for (int i = accumulate(begin(A), end(A), 0); i <= S; i++) {
    if (dp[i] >= N * K) {
      cout << i - accumulate(begin(A), end(A), 0) << '\n';
      return 0;
    }
  }

  cout << "Impossible\n";
  return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 460 KB Output is correct
2 Correct 56 ms 460 KB Output is correct
3 Correct 61 ms 460 KB Output is correct
4 Correct 107 ms 588 KB Output is correct
5 Correct 105 ms 588 KB Output is correct
6 Correct 44 ms 460 KB Output is correct

Subtask #4
21.0 / 21.0

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

Subtask #5
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 72 ms 460 KB Output is correct
15 Correct 56 ms 460 KB Output is correct
16 Correct 61 ms 460 KB Output is correct
17 Correct 107 ms 588 KB Output is correct
18 Correct 105 ms 588 KB Output is correct
19 Correct 44 ms 460 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 53 ms 460 KB Output is correct
26 Correct 66 ms 556 KB Output is correct
27 Correct 20 ms 428 KB Output is correct
28 Correct 54 ms 460 KB Output is correct
29 Correct 74 ms 588 KB Output is correct
30 Correct 105 ms 568 KB Output is correct