#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vl; typedef vector vvl; typedef vector vvvl; typedef vector vvvvl; typedef vector vb; typedef vector vvb; typedef vector vvvb; typedef vector vvvvb; typedef pair pl; typedef pair ppl; typedef pair pppl; typedef pair pppppl; #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--) #define all(a) begin(a),end(a) #define sz(a) (int)(a).size() #define F first #define S second #define bs(A,x) binary_search(all(A),x) #define lb(A,x) (ll)(lower_bound(all(A),x)-A.begin()) #define ub(A,x) (ll)(upper_bound(all(A),x)-A.begin()) #define cou(A,x) (ll)(upper_bound(all(A),x)-lower_bound(all(A),x)) templateusing min_priority_queue=priority_queue,greater>; templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b vm; typedef vector vvm; typedef vector vvvm; typedef vector vvvvm; ostream&operator<<(ostream&os,mint a){os<>(istream&is,mint&a){int x;is>>x;a=mint(x);return is;} //*/ templateostream&operator<<(ostream&os,pairp){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vectorv){rep(i,0,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} int main(){ cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); ll N,M;cin>>N>>M; vvl E(N); rep(i,0,M){ ll u,v;cin>>u>>v;u--;v--; E[u].emplace_back(v); E[v].emplace_back(u); } vl deg(N); rep(i,0,N)deg[i]=sz(E[i]); queueQ; rep(i,0,N)if(deg[i]==3)Q.emplace(i); vb seen(N); vvl P(N); vl ord; while(sz(Q)){ ll v=Q.front();Q.pop(); if(deg[v]!=3)continue; ord.emplace_back(v); assert(deg[v]==3); seen[v]=1; for(auto u:E[v])if(!seen[u]){ deg[u]--; P[v].emplace_back(u); if(deg[u]==3)Q.emplace(u); } } vl ans(N),T; rep(i,0,N)if(sz(P[i])==0)T.emplace_back(i); assert(sz(T)==3); ans[T[0]]=1; ans[T[1]]=2; ans[T[2]]=3; reverse(all(ord)); //cout<