#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define all(a) (a).begin(), (a).end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define range(i, a, b) for (ll i = (a); i < (b); i++) #define pb push_back #define debug(x) cerr << __LINE__ << ' ' << #x << ':' << (x) << '\n' #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; typedef pair P; typedef complex com; template using pri_s = priority_queue, greater>; template using pri_b = priority_queue; constexpr int inf = 1000000010; constexpr ll INF = 1000000000000000010; constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1 }; int dy[] = { 0,1,0,-1,1,-1,1,-1 }; ll mul(ll a, ll b) { return (a > INF / b ? INF : a * b); } void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); } template void er(T a) { cout << a << '\n'; exit(0); } template inline bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T &a, const U &b) { if (a > b) { a = b; return true; } return false; } template istream &operator >> (istream &s, vector &v) { for (auto &e : v) s >> e; return s; } template ostream &operator << (ostream &s, const vector &v) { for (auto &e : v) s << e << ' '; return s; } template ostream &operator << (ostream &s, const pair &p) { s << p.first << ' ' << p.second; return s; } struct fastio { fastio() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(20); } }fastio_; class unionfind { vector par; vector sz; public: unionfind(int n) { par = vector(n); for (int i = 0; i < n; i++) par[i] = i; sz = vector(n, 1); } int find(int x) { if (par[x] == x) return x; else return par[x] = find(par[x]); } int size(int x) { return sz[find(x)]; } bool same(int x, int y) { return find(x) == find(y); } void unite(int x, int y) { x = find(x); y = find(y); if (x == y) return; if (sz[x] < sz[y]) { par[x] = y; sz[y] += sz[x]; } else { par[y] = x; sz[x] += sz[y]; } } }; int main() { int n, m; cin >> n >> m; vector> graph(n, vector()); unionfind uf(n); vector> a(m); rep(i, m) cin >> a[i].first.first >> a[i].first.second >> a[i].second; sort(all(a), [](pair x, pair y) {return x.second > y.second; }); int res = inf; rep(i, m) { if (res != inf && a[i].second < res) break; int u = a[i].first.first - 1; int v = a[i].first.second - 1; uf.unite(u, v); graph[u].pb(v); graph[v].pb(u); if (uf.same(0, n - 1) && res == inf) { res = a[i].second; } } vector d(n, inf); queue que; d[0] = 0; que.push(0); while (!que.empty()) { int q = que.front(); que.pop(); for (int nxt : graph[q]) { if (d[nxt] == inf) { d[nxt] = d[q] + 1; que.push(nxt); } } } cout << res << ' ' << d[n - 1] << '\n'; }