#include using namespace std; //#include //using namespace atcoder; /*---------macro---------*/ #define rep(i, n) for (int i = 0; i < (int)(n); ++i) #define rep2(i, s, n) for (int i = s; i < (int)(n); ++i) #define Clear(a) a = decltype(a)() #define all(a) begin(a),end(a) #define rall(a) rbegin(a),rend(a) #define bit(i,j) ((i>>j)&1) /*---------type/const---------*/ typedef long long ll; typedef unsigned long long ull; typedef string::const_iterator state; //構文解析 const ll big=1000000007; //const ll big=998244353; const double PI=acos(-1); const double EPS=1e-8;//適宜変える const int dx[4]={1,0,-1,0}; const int dy[4]={0,1,0,-1}; const char newl='\n'; struct{ constexpr operator int(){return int(1e9)+1;} constexpr operator ll(){return ll(1e18)+1;} constexpr auto operator-(){ struct{ constexpr operator int(){return -int(1e9)-1;} constexpr operator ll(){return -ll(1e18)-1;} }_ret; return _ret; } }inf; /*---------debug用関数---------*/ #ifdef LOGX #define _GLIBCXX_DEBUG #define dbg(x) cout << #x << ':',prt(x); template inline void prt(T a_); template inline void _prt(T a_); template inline void _prt(map a_); template inline void _prt(unordered_map a_); template inline void _prt(set a_); template inline void _prt(unordered_set a_); template inline void _prt(pair a_); template inline void _prt(vector &a_); template inline void _prt(vector> &a_); //_prtでは改行しない. inline void _prt(bool a_){if(a_)cout<<1;else cout<<0;} inline void _prt(int a_){if(a_>=(int)inf)cout << "inf";else if(a_<=-(int)inf)cout << "-inf";else cout << a_;} inline void _prt(long long a_){if(a_>=(ll)inf)cout << "INF";else if(a_<=-(ll)inf)cout << "-INF";else cout << a_;} #ifdef ATCODER_MODINT_HPP templateinline void _prt(static_modint x){cout << x.val();} templateinline void _prt(dynamic_modint x){cout << x.val();} #endif template inline void _prt(T a_){cout << a_;} template inline void _prt(map a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt((*it).first);cout<<':';_prt((*(it++)).second);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(unordered_map a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt((*it).first);cout<<':';_prt((*(it++)).second);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(set a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt(*it++);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(unordered_set a_){cout<<'{';auto it=a_.begin();while(it!=a_.end()){_prt(*it++);cout<<(it==a_.end() ? "":",");}cout<<'}';} template inline void _prt(pair a_){cout << '(';_prt(a_.first);cout << ',';_prt(a_.second);cout << ')';} template inline void _prt(vector &a_){cout<<'{';for(int i=0;i<(int)a_.size();i++){_prt(a_[i]);if(i+1<(int)a_.size())cout<<',';}cout<<'}';} template inline void _prt(vector> &a_){cout<<"{\n";for(int i=0;i<(int)a_.size();i++){_prt(a_[i]);if(i+1<(int)a_.size())cout<<",\n";else cout<<"\n}";}} template inline void prt(T a_){_prt(a_);cout<<'\n';} #else #define dbg(x) ; #define prt(x) ; #define _prt(x) ; #endif /*---------function---------*/ template T max(const T x,const U y){if(x>y)return x;else return y;} template T min(const T x,const U y){if(x T max(const vector &a){T ans=a[0];for(T elem:a){ans=max(ans,elem);}return ans;} template T min(const vector &a){T ans=a[0];for(T elem:a){ans=min(ans,elem);}return ans;} template bool chmin(T &a,const U b){if(a>b){a=b;return true;}return false;} template bool chmax(T &a,const U b){if(a T expm(T x,U y,const ll mod=big){ T res=1; while(y){ if(y&1)(res*=x)%=mod; (x*=x)%=mod; y>>=1; } return res; } template T exp(T x,U y){ T res=1; while(y){ if(y&1)res*=x; x*=x; y>>=1; } return res; } struct unionfind{ int n; vector par; unionfind(const int _):n(_),par(_,-1){} int find(const int x){ if(par[x]<0)return x; return par[x]=find(par[x]); } bool same(int x,int y){ return find(x)==find(y); } void unite(int x,int y){ x=find(x); y=find(y); if(x==y)return; if(par[x] struct weight_uf{ int n; vector par; vector diff; weight_uf(const int _):n(_),par(_,-1),diff(_,T(0)){} //O(α(N)) int find(const int x){ if(par[x]<0)return x; int r=find(par[x]);//根 この時に先祖のdiffの値も更新がかかる diff[x]=op(diff[x],diff[par[x]]); return par[x]=r; } //O(α(N)) T weight(const int x){ find(x); return diff[x]; } //!same(x,y)なる(x,y)に対しては動かない. //O(α(N)) T diff_query(int x,int y){ return op_inv(weight(y),weight(x)); } bool same(int x,int y){ return find(x)==find(y); } /* 既にある情報と矛盾する場合はreturn falseする. diff[y]-diff[x]=wとなるようにunite. */ //O(α(N)) bool unite(int x,int y,T w){ if(same(x,y)){ //矛盾する if(diff_query(x,y)!=w)return false; //矛盾しない else return true; } w=op(w,op_inv(weight(x),weight(y))); x=find(x); y=find(y); if(par[x]>par[y])swap(x,y),w=op_inv(T(0),w); int t=par[y]+par[x]; par[x]=t; par[y]=x; diff[y]=w; n--; return true; } //O(1) int getsize(int i){ i=find(i); return -par[i]; } }; int op(int a,int b){ return a^b; } int op_inv(int a,int b){ return a^b; } int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); cout.precision(10); /*--------------------------------*/ int n,m;cin >> n >> m; weight_uf uf(n); bool ok=true; while(m--){ int a,b;cin >> a >> b; int y;cin >> y; ok&=uf.unite(a-1,b-1,y); } if(!ok){ cout << -1 << newl; return 0; } vector ans(n); rep(i,n){ if(uf.find(i)==i)ans[i]=0; } rep(i,n){ int r=uf.find(i); ans[i]=ans[r]^uf.diff_query(i,r); } for(auto &e:ans)cout << e << newl; }