#include "bits/stdc++.h" #include #include #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define SZ(x) ((lint)(x).size()) #define FOR(i, begin, end) for(lint i=(begin),i##_end_=(end);i=i##_begin_;--i) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) #define endk '\n' using namespace std; typedef unsigned long long _ulong; typedef long long int lint; typedef long double ld; typedef pair plint; typedef pair pld; struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; template auto add = [](T a, T b) -> T { return a + b; }; template auto f_max = [](T a, T b) -> T { return max(a, b); }; template auto f_min = [](T a, T b) -> T { return min(a, b); }; template using V = vector; using Vl = V; using VVl = V; template< typename T > ostream& operator<<(ostream& os, const vector< T >& v) { for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : ""); return os; } template< typename T >istream& operator>>(istream& is, vector< T >& v) { for (T& in : v) is >> in; return is; } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } lint gcd(lint a, lint b) { if (b == 0) return a; else return gcd(b, a % b); } lint ceil(lint a, lint b) { return (a + b - 1) / b; } lint digit(lint a) { return (lint)log10(a); } lint e_dist(plint a, plint b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); } lint m_dist(plint a, plint b) { return abs(a.first - b.first) + abs(a.second - b.second); } bool check_overflow(lint a, lint b, lint limit) { if (b == 0) return false; return a > limit / b; } // a * b > c => true void Worshall_Floyd(VVl& g) { REP(k, SZ(g)) REP(i, SZ(g)) REP(j, SZ(g)) chmin(g[i][j], g[i][k] + g[k][j]); } const lint MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 5e12; lint dx[8] = { 1, 0, -1, 0, 1, -1, 1, -1 }, dy[8] = { 0, 1, 0, -1, -1, -1, 1, 1 }; bool YN(bool flag) { cout << (flag ? "YES" : "NO") << endk; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << endk; return flag; } struct Edge { lint from, to; lint cost; Edge() { } Edge(lint u, lint v, lint c) { cost = c; from = u; to = v; } bool operator<(const Edge& e) const { return cost < e.cost; } }; struct WeightedEdge { lint to; lint cost; WeightedEdge(lint v, lint c = 1) { to = v; cost = c; } bool operator<(const WeightedEdge& e) const { return cost < e.cost; } }; using WeightedGraph = V>; typedef pair tlint; typedef pair qlint; typedef pair valchar; struct UnionFind { public: UnionFind() : _n(0) {} UnionFind(int n) : _n(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); if (used_count) { if (count_in_set[x].size() < count_in_set[y].size()) { std::swap(count_in_set[x], count_in_set[y]); } for (auto p : count_in_set[y]) { count_in_set[x][p.first] += p.second; } } if (set_operate) { root_values[x] = f(root_values[y], root_values[x]); } parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } std::vector> groups() { std::vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector& v) { return v.empty(); }), result.end()); return result; } //update root calc //set by set operations void set_operate_and_value(std::vector array, function _f) { f = _f; root_values = array; set_operate = true; } lint get_set_value(int a) { return root_values[leader(a)]; } //regist count void regist_count(int a, int label) { if (!used_count) { used_count = true; count_in_set.assign(_n, std::map()); } count_in_set[leader(a)][label]++; } int get_count(int a, int label) { if (!used_count) return -1; return count_in_set[leader(a)][label]; } private: int _n; std::vector parent_or_size; std::vector> count_in_set; bool used_count = false; std::vector root_values; function f; bool set_operate = false; }; lint N, M, u, v, d; int main() { cin >> N >> M; V edges(M); REP(i, M) { cin >> u >> v >> d; u--; v--; edges[i] = { u, {v, d} }; } auto check = [&](lint v) { UnionFind tree(N); REP(i, M) { if (v <= edges[i].second.second) { tree.merge(edges[i].first, edges[i].second.first); } } return !tree.same(0, N - 1); }; lint ng = -1, ok = 1e9 + 1; while (ok - ng > 1) { lint mid = (ok + ng) / 2; if (check(mid)) ok = mid; else ng = mid; } ok = ng; VVl to(N); Vl dp(N, INF); REP(i, M) { if (ok <= edges[i].second.second) { to[edges[i].first].push_back(edges[i].second.first); to[edges[i].second.first].push_back(edges[i].first); } } dp[0] = 0; queue que; que.push(0); while (!que.empty()) { lint curr = que.front(); que.pop(); for (lint nxt : to[curr]) { if (chmin(dp[nxt], dp[curr] + 1)) que.push(nxt); } } cout << ok << " " << dp[N - 1] << endk; }