#include #define all(v) v.begin(), v.end() #define rall(v) v.rbegin(), v.rend() #define rep(i,n) for(int i=0;i<(int)(n);i++) #define drep(i,j,n) for(int i=0;i<(int)(n-1);i++)for(int j=i+1;j<(int)(n);j++) #define trep(i,j,k,n) for(int i=0;i<(int)(n-2);i++)for(int j=i+1;j<(int)(n-1);j++)for(int k=j+1;k<(int)(n);k++) #define codefor int test;scanf("%d",&test);while(test--) #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define yes(ans) if(ans)printf("yes\n");else printf("no\n") #define Yes(ans) if(ans)printf("Yes\n");else printf("No\n") #define YES(ans) if(ans)printf("YES\n");else printf("NO\n") #define popcount(v) __builtin_popcountll(v) #define vector2d(type,name,h,...) vector>name(h,vector(__VA_ARGS__)) #define vector3d(type,name,h,w,...) vector>>name(h,vector>(w,vector(__VA_ARGS__))) #define vector4d(type,name,h,w,d,...) vector>>>name(h,vector>>(w,vector>(d,vector(__VA_ARGS__)))) using namespace std; using ll = long long; template using rpriority_queue = priority_queue, greater>; const int MOD=1000000007; const int MOD2=998244353; const int INF=1<<30; const ll INF2=1LL<<60; void scan(int& a){scanf("%d",&a);} void scan(long long& a){scanf("%lld",&a);} templatevoid scan(pair& p){scan(p.first);scan(p.second);} templatevoid scan(tuple& p){scan(get<0>(p));scan(get<1>(p));scan(get<2>(p));} template void scan(array& a){ for(auto&& i : a) scan(i);} template void scan(T& a){cin>>a;} template void scan(vector& vec){for(auto&& it:vec)scan(it);} void in(){} template void in(Head& head, Tail&... tail){scan(head);in(tail...);} void print(const int& a){printf("%d",a);} void print(const long long& a){printf("%lld",a);} void print(const double& a){printf("%.15lf",a);} templatevoid print(const pair& p){print(p.first);putchar(' ');print(p.second);} template void print(const T& a){cout< void print(const vector& vec){if(vec.empty())return;print(vec[0]);for(auto it=vec.begin();++it!= vec.end();){putchar(' ');print(*it);}} void out(){putchar('\n');} template void out(const T& t){print(t);putchar('\n');} template void out(const Head& head,const Tail&... tail){print(head);putchar(' ');out(tail...);} template void dprint(const T& a){cerr< void dprint(const vector& vec){if(vec.empty())return;cerr< void debug(const T& t){dprint(t);cerr< void debug(const Head& head, const Tail&... tail){dprint(head);cerr<<" ";debug(tail...);} ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; } ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } ll modinv(ll a, ll m) {ll b = m, u = 1, v = 0;while (b) {ll t = a / b;a -= t * b; swap(a, b);u -= t * v; swap(u, v);}u %= m;if (u < 0) u += m;return u;} ll updivide(ll a,ll b){return (a+b-1)/b;} template void chmax(T &a,const T b){if(b>a)a=b;} template void chmin(T &a,const T b){if(b> dat; dsu() : n(0) {} dsu(int _n) : n(_n), dat(_n, {-1, 1}) {} int merge(int a, int b) { assert(0 <= a && a < n); assert(0 <= b && b < n); int x = leader(a).first, y = leader(b).first; if (x == y) return x; if (-dat[x].first < -dat[y].first) std::swap(x, y); (dat[y].second *= modinv(dat[x].second,MOD))%=MOD; if(-dat[x].first == -dat[y].first)(dat[x].second *= (MOD+1)/2)%=MOD; else dat[y].second *= 0; dat[x].first += dat[y].first; dat[y].first = x; return x; } pair leader(int a) { assert(0 <= a && a < n); if (dat[a].first < 0 ) return {a, 1}; auto p = leader(dat[a].first); dat[a].first = p.first; (dat[a].second *= p.second)%=MOD; return dat[a]; } void add(int a, U v){ assert(0 <= a && a < n); dat[leader(a).first].second += v; } U get(int a){ assert(0 <= a && a < n); auto p = leader(a); return (p.second * dat[p.first].second)%MOD; } }; int main(){ INT(n,m); dsu uf(n); int u,v; rep(i,m){ in(u,v); u--,v--; uf.merge(u,v); } rep(i,n)out(uf.get(i)); }