Submission #945534

#	Time	Username	Problem	Language	Result	Execution time	Memory
945534		NeroZein	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	96 ms	1624 KiB

merchant

#include "bits/stdc++.h"
using namespace std;

#ifdef Nero
#include "Deb.h"
#else
#define debug(...)
#endif

const int N = 102;
const int K = 1003; 

int n, m, k;
int adj[N][N];
int best[N][N];
long long p[N][N];
long long adj2[N][N];
int buy[N][K], sell[N][K];

void pre() {
  for (int i = 1; i <= n; ++i) {
    for (int j = 1; j <= n; ++j) {
      for (int l = 1; l <= k; ++l) {
        if (sell[j][l] != -1 && buy[i][l] != -1) {
          best[i][j] = max(best[i][j], sell[j][l] - buy[i][l]);          
        }
      }
    }
  }
}

void floyd() {
  for (int l = 1; l <= n; ++l) {
    for (int i = 1; i <= n; ++i) {
      for (int j = 1; j <= n; ++j) {
        adj2[i][j] = min(adj2[i][j], adj2[i][l] + adj2[l][j]);
      }
    }
  }
}

void floyd2() {
  for (int l = 1; l <= n; ++l) {
    for (int i = 1; i <= n; ++i) {
      for (int j = 1; j <= n; ++j) {
        p[i][j] = max(p[i][j], p[i][l] + p[l][j]);
      }
    }
  } 
}

bool check(int mid) {
  for (int i = 1; i <= n; ++i) {
    for (int j = 1; j <= n; ++j) {
      adj2[i][j] = (long long) adj[i][j] * mid;
    }
  }
  floyd();
  for (int i = 1; i <= n; ++i) {
    for (int j = 1; j <= n; ++j) {
      p[i][j] = -adj2[i][j] + best[i][j];
    }
  }
  floyd2();
  for (int i = 1; i <= n; ++i) {
    if (p[i][i] >= 0) {
      return true; 
    }
  }
  return false;
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cin >> n >> m >> k;
  for (int i = 1; i <= n; ++i) {
    for (int j = 2; j <= 2 * k; j += 2) {
      cin >> buy[i][j / 2] >> sell[i][j / 2];
    }
  }
  memset(adj, 0x3f3f3f3f, sizeof adj);
  for (int i = 0; i < m; ++i) {
    int u, v, w;
    cin >> u >> v >> w;
    adj[u][v] = min(adj[u][v], w);
  }
  pre();
  int lo = 0, hi = 1e9 + 9;
  while (lo < hi) {
    int mid = (lo + hi + 1) / 2;
    if (check(mid)) {
      lo = mid;
    } else {
      hi = mid - 1; 
    }
  }
  cout << lo << '\n'; 
  return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 21 / 21
• Subtask 3: 33 / 33
• Subtask 4: 34 / 34