#define _USE_MATH_DEFINES #include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define MT make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)<; using vi = vector; using vll = vector; vector bfs(const vector> &G, int start) { vector res(G.size(), -1); queue > Q; Q.push(make_pair(start, 0)); while (Q.size()) { auto p = Q.front(); Q.pop(); if (res[p.first] != -1) continue; res[p.first] = p.second; for (auto v : G[p.first]) Q.push(make_pair(v, p.second + 1)); } return res; } void solve() { int N, M; cin >> N >> M; vi S(M), T(M), D(M); vector> G(N); rep(i, M) { cin >> S[i] >> T[i] >> D[i]; --S[i]; --T[i]; G[S[i]].emplace_back(T[i], D[i]); G[T[i]].emplace_back(S[i], D[i]); } vi X(N, -1); priority_queue Q; Q.push(mp((int)1e9, 0)); while (!Q.empty()) { int w, u; tie(w, u) = Q.top(); Q.pop(); if (X[u] != -1) { continue; } X[u] = w; each(e, G[u]) { int v, d; tie(v, d) = e; if (X[v] == -1) { Q.push(mp(min(w, d), v)); } } } vector H(N); rep(i, M) { if (D[i] >= X[N - 1]) { H[S[i]].push_back(T[i]); H[T[i]].push_back(S[i]); } } int ans = bfs(H, 0)[N-1]; cout << X[N - 1] << ' ' << ans << endl; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(15); solve(); return 0; }