#include // c #include // io #include #include #include #include // container #include #include #include #include #include #include // other #include #include #include #include #include using namespace std; typedef long long ll;typedef unsigned long long ull;typedef long double ld; #define ALL(c) c.begin(),c.end() #define IN(l,v,r) (l<=v && v < r) template void UNIQUE(T& v){v.erase(unique(ALL(v)),v.end());} //debug== #define DUMP(x) cerr << #x <<" = " << (x) #define LINE() cerr<< " (L" << __LINE__ << ")" struct range{ struct Iter{ int v,step; Iter& operator++(){v+=step;return *this;} bool operator!=(Iter& itr){return vitr.v;} int& operator*(){return v;} }; Iter i, n; rrange(int i, int n,int step):i({i-1,step}), n({n-1,step}){} rrange(int i, int n):rrange(i,n,1){} rrange(int n) :rrange(0,n){} Iter& begin(){return n;} Iter& end(){return i;} }; //input template istream& operator >> (istream& is,pair& p){return is>>p.first>>p.second;} template istream& operator >> (istream& is,tuple& t){return is >> get<0>(t);} template istream& operator >> (istream& is,tuple& t){return is >> get<0>(t) >> get<1>(t);} template istream& operator >> (istream& is,tuple& t){return is >>get<0>(t)>>get<1>(t)>>get<2>(t);} template istream& operator >> (istream& is,tuple& t){return is >> get<0>(t)>>get<1>(t)>>get<2>(t)>>get<3>(t);} template istream& operator >> (istream& is,vector& as){for(int i:range(as.size()))is >>as[i];return is;} //output template ostream& operator << (ostream& os, const set& ss){for(auto a:ss){if(a!=ss.begin())os<<" "; os< ostream& operator << (ostream& os, const pair& p){return os< ostream& operator << (ostream& os, const map& m){bool isF=true;for(auto& p:m){if(!isF)os< ostream& operator << (ostream& os, const tuple& t){return os << get<0>(t);} template ostream& operator << (ostream& os, const tuple& t){return os << get<0>(t)<<" "<(t);} template ostream& operator << (ostream& os, const tuple& t){return os << get<0>(t)<<" "<(t)<<" "<(t);} template ostream& operator << (ostream& os, const tuple& t){return os << get<0>(t)<<" "<(t)<<" "<(t)<<" "<(t);} template ostream& operator << (ostream& os, const vector& as){for(int i:range(as.size())){if(i!=0)os<<" "; os< ostream& operator << (ostream& os, const vector>& as){for(int i:range(as.size())){if(i!=0)os< inline T INF(){assert(false);}; template<> inline int INF(){return 1<<28;}; template<> inline ll INF(){return 1LL<<60;}; template<> inline double INF(){return 1e16;}; template<> inline long double INF(){return 1e16;}; template inline T EPS(){assert(false);}; template<> inline int EPS(){return 1;}; template<> inline ll EPS(){return 1LL;}; template<> inline double EPS(){return 1e-12;}; template<> inline long double EPS(){return 1e-12;}; // min{2^r | n < 2^r} template inline T upper_pow2(T n){ T res=1;while(res inline T msb(T n){ int d=62;while((1LL<n)d--;return d;} template T pmod(T v,U M){return (v%M+M)%M;} template struct Edge{ int to;Cost cost; Edge(int to,Cost cost):to(to),cost(cost){}; bool operator<(Edge r) const{ return cost(Edge r) const{ return cost>r.cost;} }; template ostream& operator << (ostream& os, const Edge& e){ return os<<"(->"< using Graph = vector>>; class Main{ public: int N,M; vector>> revG; vector dp; vector cp; ll dfs(int v){ if(dp[v] != -INF()) return dp[v]; ll Mv = -INF(); for(Edge p:revG[v]){ int pv = p.to;ll c = p.cost; Mv = max(Mv,dfs(pv)+c); } return dp[v] = Mv; } void dfs2(int v){ cp[v] = true; for(Edge p:revG[v]){ int pv = p.to;ll c = p.cost; if(dp[v] == dp[pv] + c && !cp[pv]){ dfs2(pv); } } return; } void run(){ cin >> N >> M; revG = vector>>(N); for(int i:range(M)){ int a,b,c;cin >> a >> b >> c; revG[b].push_back({a,c}); } dp = vector(N,-INF()); dp[0] = 0; dfs(N-1); cp = vector(N); dfs2(N-1); int c = 0;for(bool b:cp)c+=b; cout << dp[N-1] << " " << N-c<<"/"<