#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf 1000000000000000 vector get(vector a,vector b){ int n = a.size(); vector> E(n); rep(i,n){ E[a[i]].push_back(i); E[b[i]].push_back(i); } vector ret(n,-1); vector cnt(n); queue Q; rep(i,n){ cnt[i] = E[i].size(); if(cnt[i]==1)Q.push(i); } while(Q.size()>0){ int u = Q.front(); Q.pop(); rep(i,E[u].size()){ int v = a[E[u][i]] ^ b[E[u][i]] ^ u; if(ret[v]==-1)continue; ret[E[u][i]] = u; cnt[v]--; if(cnt[v]==1){ Q.push(v); } break; } } { vector> e(n); rep(i,n){ if(ret[a[i]]==-1&&ret[b[i]]==-1){ e[a[i]].push_back(i); e[b[i]].push_back(i); } } swap(E,e); } rep(i,n){ if(E[i].size()==0)continue; int cur = i; while(true){ bool f = false; rep(j,E[cur].size()){ int to = a[E[cur][j]] ^ b[E[cur][j]] ^ cur; if(ret[E[cur][j]]==-1){ cnt[to] = -1; ret[E[cur][j]] = to; cur = to; f = true; break; } } if(!f)break; } break; } return ret; } int main(){ int N; cin>>N; vector A(N),B(N); dsu D(N); rep(i,N){ scanf("%d %d",&A[i],&B[i]); A[i]--;B[i]--; D.merge(A[i],B[i]); } vector p(N); auto g = D.groups(); rep(i,g.size()){ rep(j,g[i].size()){ p[g[i][j]] = i; } } vector> inds(g.size()); rep(i,N){ inds[p[A[i]]].push_back(i); } rep(i,g.size()){ if(inds[i].size() != g[i].size()){ cout<<"No"< ans(N); rep(i,g.size()){ sort(g[i].begin(),g[i].end()); vector aa(g[i].size()),bb(g[i].size()); rep(j,inds[i].size()){ int k = inds[i][j]; aa[j] = distance(g[i].begin(),lower_bound(g[i].begin(),g[i].end(),A[k])); bb[j] = distance(g[i].begin(),lower_bound(g[i].begin(),g[i].end(),B[k])); } vector ret = get(aa,bb); rep(j,ret.size()){ int k = inds[i][j]; ans[k] = g[i][ret[j]]; } } rep(i,N){ cout<