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#include<bits/stdc++.h> | |
using namespace std; | |
#define INF 1<<30 | |
#define MAX 100005 | |
#define FASTIO ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); | |
typedef long long ll; | |
vector<pair<int,int> >v; | |
double graph[20][20], TSP; | |
int n; | |
vector<int> path; | |
void path_print(){ | |
//cerr<<"Enter---\n"; | |
//for(int i = 0; i < path.size(); i++)cout << path[i] << " "; | |
//cout << endl; | |
for(int i = 0; i < path.size()-1; i++){ | |
int x = path[i]; | |
int y = path[i+1]; | |
cout <<"Cable requirement to connect ("<<v[x].first<<","<<v[x].second<<") to ("<<v[y].first<<","<<v[y].second<<") is "<<fixed<<setprecision(2)<<graph[x][y]<<" feet.\n"; | |
cerr << v[x].first << " "<<v[x].second<<endl; | |
} | |
} | |
double tsp(int s, double mn) | |
{ | |
vector<int>vertex; | |
for(int i = 0; i < n; i++){ | |
if(i != s) | |
vertex.push_back(i); | |
} | |
double min_path = 99999999.0; | |
do{ | |
double current_pathweight = 0.0; | |
int k = s; | |
for(int i = 0; i < vertex.size(); i++){ | |
current_pathweight += graph[k][vertex[i]]; | |
k = vertex[i]; | |
} | |
//current_pathweight += graph[k][s]; | |
//min_path = min(min_path, current_pathweight); | |
if(min_path > current_pathweight && mn > current_pathweight){ | |
min_path = current_pathweight; | |
path.clear(); | |
path.push_back(s); | |
for(int i = 0; i < vertex.size(); i++)path.push_back(vertex[i]); | |
} | |
}while(next_permutation(vertex.begin(), vertex.end())); | |
return min_path; | |
} | |
void print() | |
{ | |
for(int i = 0; i < n; i++){ | |
for(int j = 0; j < n; j++){ | |
cout << setw(3)<<graph[i][j] << " "; | |
} | |
cout << endl; | |
} | |
} | |
int main() | |
{ | |
//FASTIO | |
/* | |
//double start_time = clock(); | |
#ifndef ONLINE_JUDGE | |
freopen("in.txt", "r", stdin); | |
freopen("out.txt", "w", stdout); | |
freopen("error.txt", "w", stderr); | |
#endif | |
//*/ | |
int cnt = 0; | |
while(cin >> n && n){ | |
TSP = 0.0; | |
for(int i = 0; i < n;i++){ | |
int x,y; | |
cin >> x >> y; | |
v.push_back({x,y}); | |
} | |
for(int i = 0; i < n; i++){ | |
int x1 = v[i].first; | |
int y1 = v[i].second; | |
for(int j = i+1; j < n; j++){ | |
int x2 = v[j].first; | |
int y2 = v[j].second; | |
double D = sqrt(((x1-x2)*(x1-x2)) + ((y1-y2)*(y1-y2))) + 16.0; | |
graph[i][j] = D; | |
graph[j][i] = D; | |
// cerr << x1 << " "<<y1 << " "<<x2 << " "<<y2<<endl; | |
} | |
//cerr<<"\n"; | |
} | |
//print(); | |
double mn = 999999.0; | |
for(int i = 0; i < n; i++){ | |
TSP = tsp(i, mn); | |
mn = min(TSP, mn); | |
} | |
cout << "**********************************************************\n"; | |
cout << "Network #"<<++cnt<<"\n"; | |
path_print(); | |
cout <<"Number of feet of cable required is "<<fixed<<setprecision(2)<< mn<<".\n"; | |
path.clear(); | |
v.clear(); | |
} | |
//double end_time = clock(); | |
//printf( "Time = %lf ms\n", ( (end_time - start_time) / CLOCKS_PER_SEC)*1000); | |
return 0; | |
} |
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