#include using namespace std; typedef long long ll; typedef pair p_ll; template void debug(T itr1, T itr2) { auto now = itr1; while(now=0; i--) const ll MOD = pow(10,9)+7; const ll LLINF = pow(2,61)-1; const int INF = pow(2,30)-1; vector fac; void c_fac(int x=pow(10,6)+10) { fac.resize(x,true); rep(i,x) fac[i] = i ? (fac[i-1]*i)%MOD : 1; } ll modpow(ll x, ll p) { ll result = 1, now = 1, pm = x; while (now<=p) { if (p&now) { result = result * pm % MOD; } now*=2; pm = pm*pm % MOD; } return result; } ll inv(ll a, ll m=MOD) { ll b = m, x = 1, y = 0; while (b!=0) { int d = a/b; a -= b*d; swap(a,b); x -= y*d; swap(x,y); } return (x+m)%m; } ll nck(ll n, ll k) { return fac[n]*inv(fac[k]*fac[n-k]%MOD)%MOD; } ll gcd(ll a, ll b) { if (a> N >> M; ll B[M], C[M]; rep(i,M) cin >> B[i] >> C[i]; map m; rep(i,M) { m[B[i]]++; m[C[i]]++; } ll nsm = 0; for (auto &x: m) { x.second = nsm; nsm++; }; rep(i,M) { B[i] = m[B[i]]; C[i] = m[C[i]]; } vector mv; for (auto x: m) mv.push_back(x.first); ll S = m.size(); vector adj[S]; rep(i,M) adj[C[i]].push_back(B[i]); vector to(S); rep(i,S) to[i] = i; per(i,S) { if (to[i]==i) { queue q; q.push(i); while (q.size()) { ll now = q.front(); q.pop(); for (auto x: adj[now]) { if (to[x]