Submission #805235

#TimeUsernameProblemLanguageResultExecution timeMemory
805235peijarTravelling Merchant (APIO17_merchant)C++17
0 / 100
796 ms266316 KiB
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

const int INF = 1e18;

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int nbSommets, nbAretes, nbItems;
  cin >> nbSommets >> nbAretes >> nbItems;
  vector<vector<int>> buy(nbSommets, vector<int>(nbItems));
  vector<vector<int>> sell(nbSommets, vector<int>(nbItems));
  for (int i = 0; i < nbSommets; ++i)
    for (int j = 0; j < nbItems; ++j)
      cin >> buy[i][j] >> sell[i][j];

  vector<vector<int>> dis(nbSommets, vector<int>(nbSommets, INF));
  for (int i = 0; i < nbSommets; ++i)
    dis[i][i] = 0;

  vector<tuple<int, int, int, int>> edges;
  for (int iArete = 0; iArete < nbAretes; ++iArete) {
    int u, v, T;
    cin >> u >> v >> T;
    --u, --v;
    edges.emplace_back(u, v, T, 0);
    dis[u][v] = T;
  }
  for (int k = 0; k < nbSommets; ++k)
    for (int i = 0; i < nbSommets; ++i)
      for (int j = 0; j < nbSommets; ++j)
        dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
  for (int u = 0; u < nbSommets; ++u)
    for (int item = 0; item < nbItems; ++item)
      if (buy[u][item] != -1)
        for (int v = 0; v < nbSommets; ++v)
          if (sell[v][item] > buy[u][item])
            edges.emplace_back(u, v, dis[u][v], buy[u][item] - sell[v][item]);

  int lo = 0, up = 1e12;
  while (lo < up) {
    int x = (lo + up + 1) / 2;
    for (int u = 0; u < nbSommets; ++u)
      dis[u].assign(nbSommets, INF);
    for (auto [u, v, t, l] : edges)
      dis[u][v] = min(dis[u][v], x * t + l);
    for (int k = 0; k < nbSommets; ++k)
      for (int i = 0; i < nbSommets; ++i)
        for (int j = 0; j < nbSommets; ++j)
          dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
    bool negCycle = false;
    for (int u = 0; u < nbSommets; ++u)
      if (dis[u][u] <= 0)
        negCycle = true;
    if (negCycle)
      lo = x;
    else
      up = x - 1;
  }
  cout << lo << endl;
}
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