Submission #842628

#TimeUsernameProblemLanguageResultExecution timeMemory
842628tch1cherinTravelling Merchant (APIO17_merchant)C++17
33 / 100
127 ms3184 KiB
#include <bits/stdc++.h>
using namespace std;
 
const long long INF = 1ll << 60;
 
int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int64_t N, M, K;
  cin >> N >> M >> K;
  vector<vector<int64_t>> B(N, vector<int64_t>(K)), S(N, vector<int64_t>(K));
  for (int i = 0; i < N; i++) {
    for (int j = 0; j < K; j++) {
      cin >> B[i][j] >> S[i][j];
    }
  }
  vector<vector<pair<int64_t, int64_t>>> G(N);
  for (int i = 0; i < M; i++) {
    int64_t u, v, t;
    cin >> u >> v >> t;
    u--, v--;
    G[u].push_back({v, t});
  }
  vector dist(N, vector<long long>(N, INF));
  for (int u = 0; u < N; u++) {
    for (auto [v, t] : G[u]) {
      dist[u][v] = t;
    }
  }
  for (int i = 0; i < N; i++) {
    dist[i][i] = 0;
  }
  for (int k = 0; k < N; k++)
    for (int i = 0; i < N; i++)
      for (int j = 0; j < N; j++)
        dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
  
  vector profit(N, vector<int64_t>(N));
  for (int i = 0; i < N; i++)
    for (int j = 0; j < N; j++)
      for (int k = 0; k < K; k++)
        if (B[i][k] != -1 && S[j][k] != -1)
          profit[i][j] = max(profit[i][j], (int64_t)S[j][k] - B[i][k]);
 
  int64_t l = -1, r = 1 << 30;
  while (r > l + 1) {
    int64_t mid = (l + r) / 2;
    vector dis(N, vector<__int128_t>(N, INF));
    for (int i = 0; i < N; i++)
      for (int j = 0; j < N; j++)
        if (i != j)
          dis[i][j] = min(INF, 1LL * min(2 * INF / mid, dist[i][j]) * mid - profit[i][j]);
 
    for (int k = 0; k < N; k++)
      for (int i = 0; i < N; i++)
        for (int j = 0; j < N; j++) {
          dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
          if (dis[i][j] < -INF) {
            dis[i][j] = -INF;
          }
        }
          
    bool good = false;
    for (int i = 0; i < N; i++) {
      if (dis[i][i] <= 0) {
        good = true;
      }
    }
    if (good) {
      l = mid;
    } else {
      r = mid;
    }
  }
  cout << l << "\n";
}
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