#pragma region Macros #include using namespace std; template inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif struct Setup { Setup() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } __Setup; using ll = long long; #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define FOR(i, a, b) for(int i = (a); i < int(b); i++) #define REP(i, n) FOR(i, 0, n) const int INF = 1 << 30; const ll LLINF = 1LL << 60; constexpr int MOD = 1000000007; const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; void Case(int i) { cout << "Case #" << i << ": "; } #pragma endregion Macros struct E{ int to; int w; }; int N, M; vector> G; int check(int W) { vector dp(N, INF); dp[0] = 0; queue que; que.emplace(0); while(!que.empty()) { int u = que.front(); que.pop(); for(auto [v, d] : G[u]) { if(W > d) continue; if(dp[v] == INF) { dp[v] = dp[u] + 1; que.emplace(v); } } } return dp[N-1]; } int main() { cin >> N >> M; G.resize(N); REP(_, M) { int s, t, w; cin >> s >> t >> w; s--; t--; G[s].push_back(E{t, w}); G[t].push_back(E{s, w}); } int ok = 0, ng = int(1e9) + 10; int ans = INF; while(ng - ok > 1) { int mid = (ok + ng) / 2; int tmp = check(mid); if(tmp == INF) { ng = mid; }else{ ok = mid; ans = tmp; } } assert(ans != INF); cout << ok << " " << ans << endl; }