#include #include using namespace atcoder; #define rep(i, n) for(ll i = 0; i < n; i++) #define rep2(i, m, n) for(ll i = m; i <= n; i++) #define rrep(i, m, n) for(ll i = m; i >= n; i--) #define all(a) a.begin(), a.end() #define rall(a) a.rbegin(), a.rend() #define MAX(x) *max_element(all(x)) #define MIN(x) *min_element(all(x)) #define SZ(a) ((ll)(a).size()) using namespace std; typedef long long ll; typedef pair P; const ll mod = 1000000007; const int dx[4] = { -1, 1, 0, 0 }; const int dy[4] = { 0, 0, 1, -1 }; const int inf = 1e9 + 1; const ll INF = 1e18 + 1; const double pi = acos(-1); using Graph = vector>; Graph G; typedef atcoder::modint1000000007 mint; //typedef atcoder::modint998244353 mint; //typedef modint mint; struct Edge { int to; ll cost; Edge(int t, ll c) : to(t), cost(c) { } }; struct Node { int node; ll cost; Node(int n, ll c) : node(n), cost(c) { } bool operator<(const Node& n)const { return cost > n.cost; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; vector d(n); vector> edge(n); priority_queue q; rep(i, m) { ll a, b, c; cin >> a >> b >> c; a--, b--; edge[a].emplace_back(Edge(b, c)); edge[b].emplace_back(Edge(a, c)); } ll W = 0, D = n + 1; ll l = 0, h = 2e9; while (h - l >= 1) { int mid = (l + h) / 2; rep(i, n) d[i] = INF; d[0] = 0; q.push(Node(0, 0)); while (!q.empty()) { auto p = q.top(); q.pop(); if (d[p.node] < p.cost) continue; for (auto e : edge[p.node]) { if (e.cost < mid) continue; if (d[e.to] > p.cost + 1) { d[e.to] = p.cost + 1; q.push(Node(e.to, d[e.to])); } } } if (d[n - 1] == INF) { h = mid; } else { l = mid + 1; } } rep(i, n) d[i] = INF; d[0] = 0; q.push(Node(0, 0)); W = h - 1; while (!q.empty()) { auto p = q.top(); q.pop(); if (d[p.node] < p.cost) continue; for (auto e : edge[p.node]) { if (e.cost < W) continue; if (d[e.to] > p.cost + 1) { d[e.to] = p.cost + 1; q.push(Node(e.to, d[e.to])); } } } cout << W << " " << d[n - 1] << endl; }