Created
September 13, 2008 08:07
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#include <fstream> | |
#include <cmath> | |
#include <iomanip>//precision | |
using namespace std; | |
#define infnty 150000; | |
class point | |
{ | |
public: | |
double x,y; | |
}; | |
int array[150][150]; | |
double dist[150][150]; | |
double mdist[150]; | |
point pt[150]; | |
int N; | |
int main() | |
{ | |
ifstream fin("cowtour.in"); | |
ofstream fout("cowtour.out"); | |
fin>>N; | |
for (int i=0;i<N;i++) | |
{ | |
fin>>pt[i].x>>pt[i].y; | |
} | |
char ignore_enter = fin.get(); | |
for (int i=0;i<N;i++) | |
{ | |
for (int j = 0 ; j<N;j++) | |
array[i][j] = fin.get()-'0'; | |
char ignore_line = fin.get(); | |
} | |
//Floyd-Warshall | |
//init.. | |
for (int i=0;i<N;i++) | |
{ | |
for (int j=0;j<N;j++) | |
{ | |
if(i==j) dist[i][j] = 0; | |
else if (array[i][j]) | |
{ | |
dist[i][j] = (pt[i].x-pt[j].x)*(pt[i].x-pt[j].x)+(pt[i].y-pt[j].y)*(pt[i].y-pt[j].y); | |
dist[i][j] = sqrt(dist[i][j]); | |
} | |
else | |
{ | |
dist[i][j] = 150000; | |
} | |
} | |
} | |
//floyd-warshall | |
for (int k = 0;k<N;k++) | |
{ | |
for(int i =0;i<N ;i++) | |
{ | |
for(int j=0;j<N;j++) | |
{ | |
if (dist[i][k]+dist[k][j]<dist[i][j]) | |
{ | |
dist[i][j] = dist[i][k]+dist[k][j]; | |
} | |
} | |
} | |
} | |
// | |
double mmdist = 0; | |
for (int i=0;i<N;i++) | |
{ | |
double max_j = 0; | |
for (int j =0 ; j<N ;j++) | |
{ | |
if (dist[i][j]>max_j&&dist[i][j]<150000) | |
{ | |
max_j = dist[i][j]; | |
} | |
} | |
mdist[i] = max_j ; | |
if (mdist[i]>mmdist) | |
{ | |
mmdist = mdist[i]; | |
} | |
} | |
double min_res = 150000; | |
for (int i=0 ;i<N; i++) | |
{ | |
for (int j=0 ;j<N ;j++) | |
{ | |
if (dist[i][j]==150000) | |
{ | |
double tempdist =(pt[i].x-pt[j].x)*(pt[i].x-pt[j].x)+(pt[i].y-pt[j].y)*(pt[i].y-pt[j].y); | |
tempdist = sqrt(tempdist); | |
if (tempdist+mdist[i]+mdist[j]<min_res) | |
{ | |
min_res = tempdist+mdist[i]+mdist[j]; | |
} | |
} | |
} | |
} | |
fout<<setiosflags(ios::fixed); | |
fout<<setprecision(6)<<max(mmdist,min_res)<<endl; | |
fin.close(); | |
fout.close(); | |
return 0; | |
} |
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