#include #define rep(i,n) for(int i=0;i<(int)(n);i++) #define FOR(i,n,m) for(int i=(int)(n); i<=(int)(m); i++) #define RFOR(i,n,m) for(int i=(int)(n); i>=(int)(m); i--) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define RITR(x,c) for(__typeof(c.rbegin()) x=c.rbegin();x!=c.rend();x++) #define setp(n) fixed << setprecision(n) template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } #define ll long long #define vll vector #define vi vector #define pll pair #define pi pair #define all(a) (a.begin()),(a.end()) #define rall(a) (a.rbegin()),(a.rend()) #define fi first #define se second #define pb push_back #define ins insert #define debug(a) cerr<<(a)< ostream &operator<<(ostream &os, const pair &p){return os<<"("< istream &operator>>(istream &is, pair &p){return is>>p.fi>>p.se;} template vector make_vec(size_t a){ return vector(a); } template auto make_vec(size_t a, Ts... ts){ return vector(ts...))>(a, make_vec(ts...)); } //------------------------------------------------- //--Dinic //------------------------------------------------- template class Dinic { private: struct Edge {int to; F cap; int rev;}; struct EdgeLocation {int from,idx;}; using FlowGraph = vector >; const F F_INF; FlowGraph G; vector level, iter; int idx; vector eloc; bool leveling(int s, int t){ fill(level.begin(), level.end(), -1); level[s] = 0; queue que; que.emplace(s); while(!que.empty()){ int v = que.front(); que.pop(); for(Edge &e:G[v]){ if (level[e.to]<0 && e.cap>0){ level[e.to] = level[v]+1; que.emplace(e.to); } } } return level[t]>=0; } F dfs(int v, int t, F flow){ if (v==t) return flow; for(int &i=iter[v]; i0){ F res = dfs(e.to,t,min(flow,e.cap)); if (res>0){ e.cap-=res; G[e.to][e.rev].cap+=res; return res; } } } return 0; } public: Dinic(int N):G(N),level(N),iter(N),idx(0),F_INF(numeric_limits::max()){} int add_edge(int from, int to, F cap){ G[from].push_back({to,cap,(int)G[to].size()}); int fidx = G[from].size()-1; G[to].push_back({from,0,fidx}); eloc.push_back({from,fidx}); return idx++; } F max_flow(int s, int t){ F ret=0; while(leveling(s,t)){ fill(iter.begin(), iter.end(), 0); for(F flow; (flow=dfs(s,t,F_INF))>0;) ret+=flow; } return ret; } F max_flow(int s, int t, F flow_limit){ F ret=0; while(leveling(s,t)){ fill(iter.begin(), iter.end(), 0); for(F flow; flow_limit>0 && (flow=dfs(s,t,flow_limit))>0;){ ret+=flow; flow_limit-=flow; } } return ret; } F get_flow(int ei){ assert(ei min_cut(int s){ vector ret(G.size()); ret[s] = true; queue que; que.emplace(s); while(!que.empty()){ int v = que.front(); que.pop(); for(Edge &e:G[v]){ if (!ret[e.to] && e.cap>0){ ret[e.to] = true; que.emplace(e.to); } } } return ret; } }; //------------------------------------------------- int main(void) { cin.tie(0); ios::sync_with_stdio(false); int N; cin>>N; vector G(N); vi X(N-1),Y(N-1); rep(i,N-1){ int u,v; cin>>u>>v; u--; v--; G[u].pb(v); G[v].pb(u); X[i]=u, Y[i]=v; } vi color(N,-1); auto dfs = [&](auto &dfs, int v, int p=-1, int c=0)->void{ color[v] = c; for(auto u:G[v]){ if (u==p) continue; dfs(dfs,u,v,1-c); } }; dfs(dfs,0); Dinic dinic(N+2); const int source=N, sink=N+1; rep(i,N){ if (color[i]==0) dinic.add_edge(source,i,1); else dinic.add_edge(i,sink,1); } rep(i,N-1){ if (color[X[i]]==0) dinic.add_edge(X[i],Y[i],1); else dinic.add_edge(Y[i],X[i],1); } cout<