// need #include #include // data structure #include //#include #include #include #include #include #include #include #include //#include //#include #include #include //#include //#include // stream //#include //#include //#include // etc #include #include #include //#include #include #include #include #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define OUT(d) std::cout< c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& r:c)for(auto& i:r)std::cin>>i; #define ALL(a) (a).begin(),(a).end() #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i) #define REP(i, n) for(int i=0;i=0;--i) #define FORLL(i, a, b) for(ll i=ll(a);i=ll(a);--i) #define REPLL(i, n) for(ll i=0;i=0;--i) #define PAIR std::pair #define PAIRLL std::pair #define IN(a, x, b) (a<=x && x tmp(a);std::cerr << #a << "\t:";for(int i=0; i(a.size()); ++i){std::cerr << tmp.front() << "\n";tmp.pop();}std::cerr << "\n";} template inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} void CHECKTIME(std::function f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } #define int ll using ll = long long; using ull = unsigned long long; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^19 constexpr double EPS = 1e-7; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; struct Edge { int to, cost; Edge() {} Edge(int t, int c) : to(t), cost(c) {} bool operator<(const Edge& r) const { return cost < r.cost; } }; signed main() { INIT; VAR(int, n, m); VEC_ROW(int, m, a, b, c); std::vector> graph(n); REP(i, m) { graph[a[i]].push(Edge(b[i], c[i])); } std::vector dist(n, 0); std::vector visited(n, false); std::queue que; que.push(0); visited[0] = true; while (!que.empty()) { int now_i = que.front(); que.pop(); while (!graph[now_i].empty()) { Edge e = graph[now_i].top(); CHMAX(dist[e.to], dist[now_i] + e.cost); if (!visited[e.to]) { visited[e.to] = true; que.push(e.to); } graph[now_i].pop(); } } std::vector> graph2(n); REP(i, m) { graph2[b[i]].emplace_back(a[i], -c[i]); } std::vector dist2(n); std::function Dijkstra2 = [&](int s) { using P = std::pair; std::priority_queue, std::greater

> pq; std::fill(dist2.begin(), dist2.end(), INFLL); dist2[s] = 0; pq.push(P(0, s)); while (!pq.empty()) { P p = pq.top(); pq.pop(); int v = p.second; if (dist2[v] < p.first) continue; for (int i = 0; i < graph2[v].size(); ++i) { Edge e = graph2[v][i]; if (dist2[e.to] > dist2[v] + e.cost) { dist2[e.to] = dist2[v] + e.cost; pq.push(P(dist2[e.to], e.to)); } } } }; Dijkstra2(n-1); REP(i, n) { dist2[i] = dist[n - 1] + dist2[i]; } int p = 0; REP(i, n) { p += (dist[i] != dist2[i]); } //SHOWVECTOR(dist); //SHOWVECTOR(dist2); OUT(dist[n-1])SP OUT(p)OUT("/")OUT(n)BR; return 0; }