#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define X first #define Y second #define pb push_back #define rep(X,Y) for (int (X) = 0;(X) < (int)(Y);++(X)) #define reps(X,S,Y) for (int (X) = (int)(S);(X) < (int)(Y);++(X)) #define rrep(X,Y) for (int (X) = (int)(Y)-1;(X) >=0;--(X)) #define rreps(X,S,Y) for (int (X) = (int)(Y)-1;(X) >= (int)(S);--(X)) #define repe(X,Y) for ((X) = 0;(X) < (Y);++(X)) #define peat(X,Y) for (;(X) < (Y);++(X)) #define all(X) (X).begin(),(X).end() #define rall(X) (X).rbegin(),(X).rend() #define eb emplace_back #define UNIQUE(X) (X).erase(unique(all(X)),(X).end()) #define Endl endl #define NL <<"\n" #define cauto const auto using namespace std; using ll=long long; using pii=pair; using pll=pair; template using vv=vector>; template inline bool MX(T &l,const T &r){return l inline bool MN(T &l,const T &r){return l>r?l=r,1:0;} //#undef NUIP #ifdef NUIP #include "benri.h" #else #define out(args...) #endif void ouT(ll x,int d=3){auto re=to_string(x);if((int)re.size()>d) re=x>0?"oo":"-oo";cout<vector table(int n, T v){ return vector(n, v);} template auto table(int n, Args... args){auto val = table(args...); return vector(n, move(val));} #endif template pair operator+(const pair &p,const pair &q){ return {p.X+q.X,p.Y+q.Y};} template pair& operator+=(pair &p,const pair &q){ p.X+=q.X; p.Y+=q.Y; return p;} template pair operator-(const pair &p,const pair &q){ return {p.X-q.X,p.Y-q.Y};} template pair& operator-=(pair &p,const pair &q){ p.X-=q.X; p.Y-=q.Y; return p;} template istream& operator>>(istream &is, pair &p){ is>>p.X>>p.Y; return is;} template T read(){ T re; cin>>re; return re;} template T read(const T &dec){ T re; cin>>re; return re-dec;} template vector readV(const int sz){ vector re(sz); for(auto &x:re) x=read(); return re;} template vector readV(const int sz, const T &dec){ vector re(sz); for(auto &x:re) x=read(dec); return re;} vv readG(const int &n,const int &m){ vv g(n); rep(_,m){ cauto a=read(1),b=read(1); g[a].pb(b); g[b].pb(a);} return g;} vv readG(const int &n){ return readG(n,n-1);} vv readD(const int &n,const int &m){ vv g(n); rep(_,m){ cauto a=read(1),b=read(1); g[a].pb(b); } return g;} vv readD(const int &n){ return readD(n,n-1);} template vv> readG(const int &n,const int &m){ vv> g(n); rep(_,m){ cauto a=read(1),b=read(1); cauto c=read(); g[a].eb(b,c); g[b].eb(a,c);} return g;} template vv> readG(const int &n){ return readG(n,n-1);} template vv> readD(const int &n,const int &m){ vv> g(n); rep(_,m){ cauto a=read(1),b=read(1); cauto c=read(); g[a].eb(b,c); } return g;} template vv> readD(const int &n){ return readD(n,n-1);} #ifdef __cpp_init_captures template vector readT(int n, T v){ return readV(n,v);} template auto readT(int n, Args... args){ vector re(1,readT(args...));rep(_,n-1) re.eb(readT(args...)); return re;} template void addadd(T& t1, const T& t2, integer_sequence){ cauto l = { (get(t1) += get(t2), 0)... }; (void)l;} template tuple& operator += (tuple& lhs, const tuple& rhs){ addadd(lhs, rhs, index_sequence_for{}); return lhs;} template tuple operator +(tuple lhs, const tuple& rhs){ return lhs += rhs;} template void subsub(T& t1, const T& t2, integer_sequence){ cauto l = { (get(t1) -= get(t2), 0)... }; (void)l;} template tuple& operator -= (tuple& lhs, const tuple& rhs){ subsub(lhs, rhs, index_sequence_for{}); return lhs;} template tuple operator - (tuple lhs, const tuple& rhs){ return lhs -= rhs;} template void read_tuple_impl(istream &is, Tuple& t, index_sequence){((is >> get(t)), ...);} template auto& operator>>(istream &is, tuple& t){ read_tuple_impl(is, t, index_sequence_for{}); return is;} #endif #define TT cauto TTT=read();rep(_,TTT) const ll MOD=1e9+7; //998244353; struct UF{ vector data; UF(const int &size):data(size,-1){} int unite(int x, int y){ x=root(x); y=root(y); if(x==y) return 0; if(-data[y]>-data[x]) swap(x,y); data[x]+=data[y]; data[y]=x; return y+1; } bool findSet(const int &x, const int &y){ return root(x)==root(y);} int root(const int &x){ return data[x]<0?x:data[x]=root(data[x]);} int size(const int &x){ return -data[root(x)];} int size(){ return count_if(all(data),[](const int &x){ return x<0;});}; //unverified int operator()(const int &x, const int &y){ return unite(x,y);} int operator()(const pii &xy){ return unite(xy.X,xy.Y);} int operator[](const int &x){ return root(x);} bool operator[](const pii &xy){ return findSet(xy.X,xy.Y);} }; typedef vv Graph; struct Scc{ stack S; vector inS,low,num; int time=0; public: Graph dag; vector inv; vv scc; void visit(const Graph &g, int v){ low[v] = num[v] = ++time; S.push(v); inS[v]=1; for(const int &w:g[v]){ if(!num[w]){ visit(g,w); low[v]=min(low[v],low[w]); }else if(inS[w]) low[v]=min(low[v],num[w]); } if(low[v]==num[v]){ scc.eb(); while(1){ int w = S.top(); S.pop(); inS[w]=0; scc.back().pb(w); if(v==w) break; } } } Scc(const Graph &g) { const int n = g.size(); num.resize(n); low.resize(n); inS.resize(n); rep(u,n)if(!num[u]) visit(g,u); reverse(all(scc)); inv.resize(n); dag.resize(scc.size()); rep(i,scc.size())for(auto v:scc[i]) inv[v]=i; rep(i,scc.size())for(auto v:scc[i])for(auto e:g[v]) if(inv[e]!=i) dag[i].pb(inv[e]); } }; int main(){ ios_base::sync_with_stdio(false); cin.tie(0); cout< cy(N); rep(v,N)if(g.scc[v].size()>1) cy[uf[v]]=1; vv vs(N); rep(v,N) for(cauto &u:g.scc[v]) vs[uf[v]].eb(u); vector es; rep(v,N)if(uf[v]==v){ reps(i,1,vs[v].size()) es.eb(vs[v][i-1],vs[v][i]); if(cy[v]) es.eb(vs[v].back(),vs[v][0]); } cout<