#include #include #include #include #include #include #include #include #include #include #include static const int MOD = 1000000007; using ll = long long; using u32 = unsigned; using u64 = unsigned long long; using namespace std; template constexpr T INF = ::numeric_limits::max()/32*15+208; int main() { int n, m; cin >> n >> m; vector>> G(n), Ginv(n); vector d(n), d2(n); for (int i = 0; i < m; ++i) { int a, b, c; scanf("%d %d %d", &a, &b, &c); G[a].emplace_back(b, c); Ginv[b].emplace_back(a, c); d[b]++; d2[a]++; } vector dp(n); stack S; for (int i = 0; i < n; ++i) if(!d[i]) S.emplace(i); while(!S.empty()){ int i = S.top(); S.pop(); for (auto &&j : G[i]) { dp[j.first] = max(dp[j.first], dp[i]+j.second); d[j.first]--; if(!d[j.first]) S.emplace(j.first); } } vector dp2(n, INF); dp2.back() = dp.back(); S.emplace(n-1); while(!S.empty()){ int i = S.top(); S.pop(); for (auto &&j : Ginv[i]) { dp2[j.first] = min(dp2[j.first], dp2[i]-j.second); d2[j.first]--; if(!d2[j.first]) S.emplace(j.first); } } int ans = 0; for (int i = 0; i < n; ++i) { if(dp[i] != dp2[i]) ans++; } printf("%d %d/%d\n", dp.back(), ans, n); return 0; }