/* User ID: turing_13 Link: http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=24&page=show_problem&problem=762 */ #include <bits/stdc++.h> #define pii pair <int,int> #define sc scanf #define pf printf #define Pi 2*acos(0.0) #define ms(a,b) memset(a, b, sizeof(a)) #define pb(a) push_back(a) #define MP make_pair #define oo 1<<29 #define dd double #define ll long long #define EPS 10E-10 #define ff first #define ss second #define MAX 1000 #define SZ(a) (int)a.size() #define getint(a) scanf("%d",&a) #define loop(i,n) for(int i=0;i<n;i++) #define all(a) a.begin(),a.end() #define intlim 2147483648 #define rtintlim 46340 #define llim 9223372036854775808 #define rtllim 3037000499 #define ull unsigned long long #define I int using namespace std; vector<I>v[MAX],inp; map<int,int>mp; int d[MAX],cnt,sm; bool visited[MAX]; int BFS(int s) { ms(visited,false); ms(d,-1); queue<I>Q; Q.push(s); visited[s]=true; d[s]=0; I sum=0; while(!Q.empty()) { I p=Q.front(); Q.pop(); loop(i,SZ(v[p])) { I q=v[p][i]; if(!visited[q]) { visited[q]=true; d[q]=d[p]+1; sum+=d[q]; Q.push(q); } } } return sum; } void clean() { I zz=mp.size(); mp.clear(); inp.clear(); loop(i,zz+5) { v[i].clear(); } } int main() { ///freopen("in.txt","r",stdin); ///freopen("out.txt","w",stdout); I a,b,x,y,cas=1; while(cin>>a>>b && a && b) { cnt=1; sm=0; x=a,y=b; if(!mp[x]) { mp[x]=cnt++; inp.pb(x); } if(!mp[y]) { mp[y]=cnt++; inp.pb(y); } v[mp[x]].pb(mp[y]); while(cin>>x>>y && x && y) { if(!mp[x]) { mp[x]=cnt++; inp.pb(x); } if(!mp[y]) { mp[y]=cnt++; inp.pb(y); } v[mp[x]].pb(mp[y]); } I z=SZ(inp); loop(i,z) { sm+=BFS(mp[inp[i]]); } double ans=((double)sm/(z*(z-1))); pf("Case %d: average length between pages = %.3lf clicks\n", cas++,ans); clean(); } return 0; }
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