#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } #include "atcoder/dsu.hpp" int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; in(n); vector

ed; rep(i,n){ int a,b; in(a,b); a--; b--; ed.pb({a,b}); } vector> g(n); vector prev(n,-1); vector ans(n); auto get_path = [&] (int u, int v) -> vector { vector res = {v}; queue q; q.push(u); while(q.size()){ int x = q.front(); q.pop(); for(auto [y,idx] : g[x]){ if(prev[y] == -1){ ans[idx] = y+1; prev[y] = x; q.push(y); } } } int now = v; while(now != u){ now = prev[now]; res.pb(now); } return res; }; atcoder::dsu d(n); vector loop(n,false); vector seen(n,false); rep(i,n){ auto [a,b] = ed[i]; if(a == b){ int u = d.leader(a); if(loop[u]){ out("No"); return 0; } else{ loop[u] = true; seen[a] = true; ans[i] = a+1; } } else if(d.same(a,b)){ int u = d.leader(a); if(loop[u]){ out("No"); return 0; } else{ loop[u] = true; auto vp = get_path(a,b); for(int v : vp) seen[v] = true; ans[i] = b+1; } } else{ int u = d.leader(a); int v = d.leader(b); if(loop[u]&loop[v]){ out("No"); return 0; } int w = d.merge(a,b); loop[w] = loop[u] | loop[v]; g[a].pb({b,i}); g[b].pb({a,i}); } } queue q; rep(i,n){ if(seen[i]) q.push(i); } while(q.size()){ int x = q.front(); q.pop(); for(auto [y,idx] : g[x]){ if(ans[idx] != 0) continue; ans[idx] = y+1; q.push(y); } } out("Yes"); rep(i,n) out(ans[i]); }