#include #define rep(i,n) for(int i=0;i<(n);i++) using namespace std; template struct edge{ int to; T wt; edge(int to,const T& wt):to(to),wt(wt){} }; template using weighted_graph=vector>>; template void add_directed_edge(weighted_graph& G,int u,int v,const T& wt){ G[u].emplace_back(v,wt); } template vector topological_order(const weighted_graph& D){ int n=D.size(); vector deg(n); rep(u,n) for(const auto& e:D[u]) deg[e.to]++; vector res; queue Q; rep(u,n) if(deg[u]==0) Q.emplace(u); while(!Q.empty()){ int u=Q.front(); Q.pop(); res.emplace_back(u); for(const auto& e:D[u]) if(--deg[e.to]==0) Q.emplace(e.to); } return res; } int main(){ int n,m; scanf("%d%d",&n,&m); weighted_graph G(n); rep(i,m){ int u,v,c; scanf("%d%d%d",&u,&v,&c); add_directed_edge(G,u,v,c); } auto p=topological_order(G); vector dp(n); for(int u:p){ for(auto e:G[u]) dp[e.to]=max(dp[e.to],dp[u]+e.wt); } vector ok(n); ok[n-1]=true; rep(i,n){ int u=p[n-1-i]; for(auto e:G[u]) if(ok[e.to] && dp[e.to]==dp[u]+e.wt) ok[u]=true; } printf("%d %ld/%d\n",dp[n-1],count(ok.begin(),ok.end(),false),n); return 0; }