Submission #403074

#TimeUsernameProblemLanguageResultExecution timeMemory
403074rama_pangKitchen (BOI19_kitchen)C++17
100 / 100
107 ms588 KiB
#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;
}
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