#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 move(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 move(re);} template vector readV(const int sz, const T &dec){ vector re(sz); for(auto &x:re) x=read(dec); return move(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 move(g);} vv readG(const int &n){ return readG(n,n-1);} #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);} }; const int INF=1e7; template void dij(vv> &g,int s,vector &d){ typedef pair Que; priority_queue,greater > que; int n=g.size(); d.resize(n); fill(all(d),INF); d[s]=0; que.emplace(0,s); while(que.size()){ Que p=que.top();que.pop(); if(d[p.Y]> es(m); for(auto &[c,a,b]:es) cin>>a>>b>>c, --b, --a; out(es,1); sort(rall(es)); int mx=0; UF uf(n); for(cauto &[c,a,b]:es){ if(uf[{0,n-1}]) break; uf(a,b); mx=c; out(mx,1); if(uf[{0,n-1}]) break; } vv g(n); for(cauto &[c,a,b]:es){ if(c d; dij(g,0,d); cout<