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// verification-helper: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=3047 #include <bits/stdc++.h> using namespace std; #define call_from_test #include "../../maxflow/dinic.cpp" #undef call_from_test const int K = 28; int cap[K][K]; signed main(){ cin.tie(0); ios::sync_with_stdio(0); int n; cin>>n; vector<string> s(n); for(int i=0;i<n;i++) cin>>s[i]; for(int i=0;i<26;i++){ memset(cap,0,sizeof(cap)); int x=26,y=27,z=0,e=0; Dinic<int, true> G(K); for(int j=0;j<n;j++){ int u=s[j].front()-'a'; int v=s[j].back()-'a'; if(u==i) z++; if(v==i) e++; if(u==i) u=x; if(v==i) v=y; if(u!=v) cap[u][v]++; } for(int u=0;u<K;u++) for(int v=0;v<K;v++) if(cap[u][v]) G.add_edge(u,v,cap[u][v]); if((e&&!z)||(z&&G.flow(x,y)==z)) cout<<char('a'+i)<<endl; } return 0; }
#line 1 "test/aoj/3047.test.cpp" // verification-helper: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=3047 #include <bits/stdc++.h> using namespace std; #define call_from_test #line 1 "maxflow/dinic.cpp" #line 3 "maxflow/dinic.cpp" using namespace std; #endif //BEGIN CUT HERE // O(E V^2) // O(E \min(E^{1/2}, V^{2/3})) if caps are constant template<typename Flow,bool directed> struct Dinic{ struct Edge { int dst; Flow cap; int rev; Edge(int dst,Flow cap,int rev):dst(dst),cap(cap),rev(rev){} }; vector< vector<Edge> > G; vector<int> level,iter; Dinic(int n):G(n),level(n),iter(n){} int add_edge(int src,int dst,Flow cap){ int e=G[src].size(); int r=(src==dst?e+1:G[dst].size()); G[src].emplace_back(dst,cap,r); G[dst].emplace_back(src,directed?0:cap,e); return e; } void bfs(int s){ fill(level.begin(),level.end(),-1); queue<int> que; level[s]=0; que.emplace(s); while(!que.empty()){ int v=que.front();que.pop(); for(Edge &e : G[v]) { if(e.cap>0 and level[e.dst]<0){ level[e.dst]=level[v]+1; que.emplace(e.dst); } } } } Flow dfs(int v,int t,Flow f){ if(v==t) return f; for(int &i=iter[v];i<(int)G[v].size();i++){ Edge &e=G[v][i]; if(e.cap>0 and level[v]<level[e.dst]){ Flow d=dfs(e.dst,t,min(f,e.cap)); if(d==0) continue; e.cap-=d; G[e.dst][e.rev].cap+=d; return d; } } return 0; } Flow flow(int s,int t,Flow lim){ Flow fl=0; while(1){ bfs(s); if(level[t]<0 or lim==0) break; fill(iter.begin(),iter.end(),0); while(1){ Flow f=dfs(s,t,lim); if(f==0) break; fl+=f; lim-=f; } } return fl; } Flow flow(int s,int t){ return flow(s,t,numeric_limits<Flow>::max()/2); } Flow cut(int s,int t,int x,int a){ static_assert(directed, "must be directed"); auto &e=G[x][a]; int y=e.dst; Flow cr=G[y][e.rev].cap; if(cr==0) return e.cap=0; e.cap=G[y][e.rev].cap=0; Flow cap=cr-flow(x,y,cr); if(x!=s and cap!=0) flow(x,s,cap); if(t!=y and cap!=0) flow(t,y,cap); return cap; } Flow link(int s,int t,int x,int a,Flow f){ auto &e=G[x][a]; e.cap+=f; return flow(s,t,f); } }; //END CUT HERE #ifndef call_from_test //INSERT ABOVE HERE signed main(){ return 0; } #endif #line 8 "test/aoj/3047.test.cpp" #undef call_from_test const int K = 28; int cap[K][K]; signed main(){ cin.tie(0); ios::sync_with_stdio(0); int n; cin>>n; vector<string> s(n); for(int i=0;i<n;i++) cin>>s[i]; for(int i=0;i<26;i++){ memset(cap,0,sizeof(cap)); int x=26,y=27,z=0,e=0; Dinic<int, true> G(K); for(int j=0;j<n;j++){ int u=s[j].front()-'a'; int v=s[j].back()-'a'; if(u==i) z++; if(v==i) e++; if(u==i) u=x; if(v==i) v=y; if(u!=v) cap[u][v]++; } for(int u=0;u<K;u++) for(int v=0;v<K;v++) if(cap[u][v]) G.add_edge(u,v,cap[u][v]); if((e&&!z)||(z&&G.flow(x,y)==z)) cout<<char('a'+i)<<endl; } return 0; }