poj 2263 重型运输

//求从起点到终点最大运输量
//运输量取决于单条路径的最大容量
//用floyd算法,动规
#include <iostream>
#include <map>
#include <cstring>
using namespace std;
#define MAXN 201
#define INF 1000000
map<string,int> city;
int weight[MAXN][MAXN];
int Edge[MAXN][MAXN];

int T;
int n,r;
int citynumber;

int queryCity(string str)
{
  map<string,int>::iterator iter;
  iter = city.find(str);
  if(iter != city.end())
    {
      return iter->second;
    }
  else
    {
      city[str] = citynumber;
      citynumber++;
      return city[str];
    }
}

void Floyd()
{
  for(int i = 1; i <= n; i++)
    {
      for(int j = 1; j <= n; j++)
	{
	  weight[i][j] = Edge[i][j];
	}
    }
  
  for(int i = 1; i <= n; i++)
    {
      for(int j = 1; j <= n; j++)
	{
	  for(int k = 1; k <= n; k++)
	    {
	      weight[i][j] = max(weight[i][j],min(weight[i][k],weight[k][j]));
	    }
	}
    }
}

int main()
{
  T = 0;
  while(cin>>n>>r)
    {
      if(n == 0 && r == 0)
	break;
      citynumber = 1;
      T++;
      for(int i = 0; i <= n; i++)
	{
	  Edge[i][i] = INF;
	  for(int j = 0; j <= n; j++)
	    {
	      if(i != j)
		Edge[i][j] = 0;
	    }
	}
      for(int i = 0; i < r; i++)
	{
	  string ca,cb;
	  int ton;
	  cin>>ca>>cb>>ton;
	  int x = queryCity(ca);
	  int y = queryCity(cb);
	  
	  Edge[x][y] = ton;
	  Edge[y][x] = ton;
	  
	  
	}
      Floyd();
      string cs,ce;
      cin>>cs>>ce;
      int st = queryCity(cs);
      int en = queryCity(ce);
      cout<<"Scenario #"<<T<<endl;
      cout<<weight[st][en]<<" tons"<<endl;
    }
  return 0;
}

 

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