#include using namespace std; using ll = long long; using ld = long double; using pll = pair; constexpr ll MOD = 1e9 + 7; //constexpr ll MOD = 998244353; //constexpr ll MOD = ; ll mod(ll A, ll M) {return (A % M + M) % M;} constexpr ll INF = 1LL << 60; template bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;} template bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;} ll divceil(ll A, ll B) {return (A + (B - 1)) / B;} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) template class unionfind { public: vector parent; vector rank; vector diffw; unionfind(ll N, Abel U = 0) { parent = vector(N, -1); rank = vector(N, 0); diffw = vector(N, U); } ll root(ll X) { if (parent.at(X) < 0) return X; ll R = root(parent.at(X)); diffw.at(X) += diffw.at(parent.at(X)); return parent.at(X) = R; } ll size(ll X) { return -parent.at(root(X)); } Abel weight(ll X) { root(X); return diffw.at(X); } Abel diff(ll X, ll Y) { return weight(Y) - weight(X); } bool same(ll X, ll Y) { return (root(X) == root(Y)); } bool unite(ll X, ll Y, Abel W = 0) { W += weight(X); W -= weight(Y); X = root(X); Y = root(Y); if (X == Y) return false; if (rank.at(X) < rank.at(Y)) { swap(X, Y); W = -W; } if (rank.at(X) == rank.at(Y)) rank.at(X)++; parent.at(X) += parent.at(Y); parent.at(Y) = X; diffw.at(Y) = W; return true; } }; int main() { ll N, M; cin >> N >> M; using tlll = tuple; vector DST(M); for (ll i = 0; i < M; i++) { ll s, t, d; cin >> s >> t >> d; s--, t--; DST.at(i) = make_tuple(d, s, t); } sort(DST.begin(), DST.end(), greater()); unionfind uf(N); ll maxw = INF; for (ll i = 0; i < M; i++) { ll d = get<0>(DST.at(i)), s = get<1>(DST.at(i)), t = get<2>(DST.at(i)); if (!uf.same(s, t)) { uf.unite(s, t); if (uf.same(0, N - 1)) { maxw = d; break; } } } cout << maxw << " "; vector> G(N); for (ll i = 0; i < M; i++) { ll d = get<0>(DST.at(i)), s = get<1>(DST.at(i)), t = get<2>(DST.at(i)); if (maxw <= d) { G.at(s).push_back(t); G.at(t).push_back(s); } } queue que; vector dist(N, -1); que.push(0); dist.at(0) = 0; while (!que.empty()) { ll v = que.front(); que.pop(); for (auto nv : G.at(v)) { if (dist.at(nv) != -1) continue; dist.at(nv) = dist.at(v) + 1; que.push(nv); } } cout << dist.at(N - 1) << endl; }