#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vvi; typedef vector vvvi; typedef vector vvvvi; typedef pair pi; typedef pair ppi; typedef pair pppi; typedef pair ppppi; #define FOR(i,l,r) for(ll i=l;i=l;i--) #define RREP(i,n) RFOR(i,0,n) #define ALL(x) x.begin(),x.end() #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) (UB(A,x)-LB(A,x)) #define sz(c) ((ll)(c).size()) templateusing min_priority_queue=priority_queue,greater>; templateostream&operator<<(ostream&os,pair&p){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vector&v){REP(i,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} 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<>N>>Q; dsu D(N); vvi E(N); REP(i,Q){ ll A,B,C;cin>>A>>B>>C;A--;B--; if(C==0)D.merge(A,B); else{E[A].emplace_back(B);E[B].emplace_back(A);} } vi idx(N); auto g=D.groups(); REP(i,sz(g))for(auto v:g[i])idx[v]=i; ll M=sz(g); vvi F(M); REP(i,N)for(auto j:E[i])F[idx[i]].emplace_back(idx[j]); dsu _D(M); REP(i,M)for(auto v:F[i])_D.merge(i,v); auto _g=_D.groups(); mint ans=pow_mod(2,sz(_g),mod); vectorseen(M);vi DP(M); REP(i,M)if(!seen[i]){ queueQ; seen[i]=1; Q.emplace(i); while(sz(Q)){ ll v=Q.front();Q.pop(); for(auto u:F[v])if(!seen[u]){ seen[u]=1; DP[u]=!DP[v];Q.emplace(u); } } } REP(i,M)for(auto j:F[i])if(DP[i]==DP[j])ans=0; cout<