Submission #69978

#	Time	Username	Problem	Language	Result	Execution time	Memory
69978		funcsr	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	96 ms	14460 KiB

merchant

#include <cstdio>
#include <iostream>
#include <algorithm>
#include <string>
#include <cstring>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cmath>
#include <iomanip>
#include <cassert>
#include <bitset>
using namespace std;

typedef pair<int, int> P;
#define rep(i, n) for (int i=0; i<(n); i++)
#define all(c) (c).begin(), (c).end()
#define uniq(c) c.erase(unique(all(c)), (c).end())
#define index(xs, x) (int)(lower_bound(all(xs), x) - xs.begin())
#define _1 first
#define _2 second
#define pb push_back
#define INF (1LL<<60)
#define MOD 1000000007

int N, M, K;
void warshall_floyd(long long D[100][100]) {
  rep(k, N) rep(i, N) rep(j, N) D[i][j] = min(D[i][j], D[i][k]+D[k][j]);
}

long long B[100][1000], S[100][1000];
long long D[100][100];
long long profit[100][100];
long long cost[100][100];

bool f(int X) {
  rep(i, N) rep(j, N) cost[i][j] = INF;
  rep(a, N) rep(b, N) if (a != b && D[a][b] != INF) {
    cost[a][b] = -(profit[a][b]-1LL*X*D[a][b]);
  }
  warshall_floyd(cost);
  //cout<<"f("<<X<<"): ";rep(i, N) cout<<cost[i][i]<<",";cout<<"\n";
  rep(i, N) if (cost[i][i] <= 0) return true;
  return false;
}

signed main() {
  ios::sync_with_stdio(false); cin.tie(0);
  cin >> N >> M >> K;
  rep(i, N) rep(j, K) cin >> B[i][j] >> S[i][j];
  rep(i, N) rep(j, N) D[i][j] = INF;
  rep(i, N) D[i][i] = 0;
  rep(i, M) {
    int u, v, w;
    cin >> u >> v >> w;
    u--, v--;
    D[u][v] = w;
  }
  rep(a, N) rep(b, N) if (a != b) {
    long long m = 0;
    rep(k, K) {
      if (B[a][k] == -1 || S[b][k] == -1) continue;
      m = max(m, S[b][k]-B[a][k]);
    }
    profit[a][b] = m;
  }
  warshall_floyd(D);

  int lo = 0, hi = 2e9;
  while (hi-lo>1) {
    int mid=(0LL+lo+hi)/2;
    if (f(mid)) lo = mid;
    else hi = mid;
  }
  cout << lo << "\n";
  return 0;
}

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