#define LOCAL #include using namespace std; #pragma region Macros typedef long long ll; typedef __int128_t i128; typedef unsigned int uint; typedef unsigned long long ull; #define ALL(x) (x).begin(), (x).end() template istream& operator>>(istream& is, vector& v) { for (T& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, const vector& v) { for (int i = 0; i < (int)v.size(); i++) { os << v[i] << (i + 1 == (int)v.size() ? "" : " "); } return os; } template ostream& operator<<(ostream& os, const pair& p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream& operator<<(ostream& os, const tuple& t) { os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')'; return os; } template ostream& operator<<(ostream& os, const tuple& t) { os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')'; return os; } template ostream& operator<<(ostream& os, const map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_map& m) { os << '{'; for (auto itr = m.begin(); itr != m.end();) { os << '(' << itr->first << ',' << itr->second << ')'; if (++itr != m.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const multiset& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const unordered_set& s) { os << '{'; for (auto itr = s.begin(); itr != s.end();) { os << *itr; if (++itr != s.end()) os << ','; } os << '}'; return os; } template ostream& operator<<(ostream& os, const deque& v) { for (int i = 0; i < (int)v.size(); i++) { os << v[i] << (i + 1 == (int)v.size() ? "" : " "); } return os; } void debug_out() { cerr << '\n'; } template void debug_out(Head&& head, Tail&&... tail) { cerr << head; if (sizeof...(Tail) > 0) cerr << ", "; debug_out(move(tail)...); } #ifdef LOCAL #define debug(...) \ cerr << " "; \ cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \ cerr << " "; \ debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif template T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; } template T lcm(T x, T y) { return x / gcd(x, y) * y; } template inline bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; } #pragma endregion /** * @brief UnionFind * @docs docs/datastructure/UnionFind.md */ struct UnionFind { int num; vector par, rank; UnionFind(int n) : num(n), par(n), rank(n, 1) { iota(par.begin(), par.end(), 0); } int root(int x) { return (par[x] == x ? x : par[x] = root(par[x])); } bool merge(int x, int y) { x = root(x); y = root(y); if (x == y) return false; if (rank[x] < rank[y]) swap(x, y); par[y] = x; rank[x] += rank[y]; num--; return true; } bool same(int x, int y) { return root(x) == root(y); } int size(int x) { return rank[root(x)]; } int count() { return num; } int operator[](int x) { return root(x); } }; /** * @brief Dijkstra * @docs docs/graph/Dijkstra.md */ template struct Dijkstra { struct edge { int to; T cost; edge(int to, T cost) : to(to), cost(cost) {} bool operator<(const edge& e) const { return cost > e.cost; } }; vector> G; vector dp; vector pre; Dijkstra(int n) : G(n), dp(n), pre(n) {} void add_edge(int u, int v, T c) { G[u].emplace_back(v, c); } void build(int s) { int n = G.size(); fill(dp.begin(), dp.end(), numeric_limits::max()); fill(pre.begin(), pre.end(), -1); priority_queue pq; dp[s] = 0; pq.emplace(s, dp[s]); while (!pq.empty()) { auto p = pq.top(); pq.pop(); int v = p.to; if (dp[v] < p.cost) continue; for (auto e : G[v]) { if (dp[v] + e.cost < dp[e.to]) { dp[e.to] = dp[v] + e.cost; pre[e.to] = v; pq.emplace(e.to, dp[e.to]); } } } } vector restore(int t) { vector res; if (pre[t] < 0) return res; while (~t) { res.emplace_back(t); t = pre[t]; } reverse(res.begin(), res.end()); return res; } T operator[](int to) { return dp[to]; } }; const int INF = 1e9; const long long IINF = 1e18; const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; const char dir[4] = {'D', 'R', 'U', 'L'}; const long long MOD = 1000000007; // const long long MOD = 998244353; int main() { cin.tie(0); ios::sync_with_stdio(false); int n, m; cin >> n >> m; map>> mp; for (int i = 0; i < m; i++) { int s, t, d; cin >> s >> t >> d; mp[-d].emplace_back(--s, --t); } Dijkstra D(n); UnionFind UF(n); int ans = -1; for (auto& p : mp) { for (auto& e : p.second) { int u = e.first, v = e.second; UF.merge(u, v); D.add_edge(u, v, 1); D.add_edge(v, u, 1); } if (UF.same(0, n - 1)) { ans = p.first; break; } } D.build(0); cout << -ans << ' '; cout << D[n - 1] << '\n'; return 0; }