#pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include // #include // #include // #include // using namespace __gnu_pbds; // #include // namespace multiprecisioninteger = boost::multiprecision; // using cint=multiprecisioninteger::cpp_int; using namespace std; using ll=long long; using datas=pair; using ddatas=pair; using tdata=pair; using vec=vector; using mat=vector; using pvec=vector; using pmat=vector; // using llset=tree,rb_tree_tag,tree_order_statistics_node_update>; #define For(i,a,b) for(i=a;i<(ll)b;++i) #define bFor(i,b,a) for(i=b,--i;i>=(ll)a;--i) #define rep(i,N) For(i,0,N) #define rep1(i,N) For(i,1,N) #define brep(i,N) bFor(i,N,0) #define brep1(i,N) bFor(i,N,1) #define all(v) (v).begin(),(v).end() #define allr(v) (v).rbegin(),(v).rend() #define vsort(v) sort(all(v)) #define vrsort(v) sort(allr(v)) #define uniq(v) vsort(v);(v).erase(unique(all(v)),(v).end()) #define endl "\n" #define eb emplace_back #define print(x) cout< ostream& operator<<(ostream& os,const pair& p){return os<<"("< ostream& operator<<(ostream& os,const vector& v){ os<<"{";bool f=false; for(auto& x:v){if(f)os<<",";os< ostream& operator<<(ostream& os,const set& v){ os<<"{";bool f=false; for(auto& x:v){if(f)os<<",";os< ostream& operator<<(ostream& os,const map& v){ os<<"{";bool f=false; for(auto& x:v){if(f)os<<",";os< inline bool chmax(T& a,T b){bool x=a inline bool chmin(T& a,T b){bool x=a>b;if(x)a=b;return x;} #ifdef DEBUG void debugg(){cout<void debugg(const T& x,const Args&... args){cout<<" "<size;--i)modncrlistm[i-1]=modncrlistm[i]*i%mod; } return modncrlistp[n]*modncrlistm[r]%mod*modncrlistm[n-r]%mod; } ll modpow(ll a,ll n,ll m=mod){ if(n<0)return 0; ll res=1; while(n>0){ if(n&1)res=res*a%m; a=a*a%m; n>>=1; } return res; } ll gcd(ll a,ll b){if(!b)return abs(a);return (a%b==0)?abs(b):gcd(b,a%b);} ll lcm(ll a,ll b){return a/gcd(a,b)*b;} ll countdigits(ll n,ll k=10){ ll ans=0; while(n){n/=k;ans++;} return ans; } ll sumdigits(ll n,ll k=10){ ll ans=0; while(n){ans+=n%k;n/=k;} return ans; } vector dijkstra(pmat& g,ll first){ priority_queue> que; que.emplace(0,first); vector dist(g.size(),inf); while(!que.empty()){ datas x=que.top();que.pop(); if(!chmin(dist[x.second],x.first))continue; for(auto next:g[x.second]){ if(dist[next.second]>N; ll i,j; pmat g(N); rep(i,N-1){ cin>>A>>B; --A;--B; g[A].emplace_back(1,B); g[B].emplace_back(1,A); } { auto dist=dijkstra(g,0); A=max_element(all(dist))-dist.begin(); } auto v1=dijkstra(g,A); B=max_element(all(v1))-v1.begin(); auto v2=dijkstra(g,B); D=*max_element(all(v2)); rep(C,N){ if(v1[C]==D/2&&v2[C]==D-D/2)break; if(v2[C]==D/2&&v1[C]==D-D/2)break; } auto dist=dijkstra(g,C); debug(C,D,dist); set se; rep(i,N){ if(g[i].size()==1){ se.emplace(dist[i]); ++M; } } if((se.size()==1&&(ll)g[C].size()==M)||(se.size()==2&&D%2==1&&M==2))printyes; else printno; }