#include using namespace std; using ll = long long; using ld = long double; using VI = vector; using VL = vector; using VS = vector; template using PQ = priority_queue, greater>; using graph = vector; template using w_graph = vector>>; #define FOR(i,a,n) for(int i=(a);i<(n);++i) #define eFOR(i,a,n) for(int i=(a);i<=(n);++i) #define rFOR(i,a,n) for(int i=(n)-1;i>=(a);--i) #define erFOR(i,a,n) for(int i=(n);i>=(a);--i) #define SORT(a) sort(a.begin(),a.end()) #define rSORT(a) sort(a.rbegin(),a.rend()) #define fSORT(a,f) sort(a.begin(),a.end(),f) #define all(a) a.begin(),a.end() #define out(y,x) ((y)<0||h<=(y)||(x)<0||w<=(x)) #define tp(a,i) get(a) #ifdef _DEBUG #define line cout << "-----------------------------\n" #define stop system("pause") #endif constexpr ll INF = 1000000000; constexpr ll LLINF = 1LL << 60; constexpr ll mod = 1000000007; constexpr ll MOD = 998244353; constexpr ld eps = 1e-10; templateinline bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; }return false; } templateinline bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; }return false; } inline void init() { cin.tie(nullptr); cout.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } templateinline istream& operator>>(istream& is, vector& v) { for (auto& a : v)is >> a; return is; } templateinline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } templateinline vector vec(size_t a) { return vector(a); } templateinline vector defvec(T def, size_t a) { return vector(a, def); } templateinline auto vec(size_t a, Ts... ts) { return vector(ts...))>(a, vec(ts...)); } templateinline auto defvec(T def, size_t a, Ts... ts) { return vector(def, ts...))>(a, defvec(def, ts...)); } templateinline void print(const T& a) { cout << a << "\n"; } templateinline void print(const T& a, const Ts&... ts) { cout << a << " "; print(ts...); } templateinline void print(const vector& v) { for (int i = 0; i < v.size(); ++i)cout << v[i] << (i == v.size() - 1 ? "\n" : " "); } templateinline void print(const vector>& v) { for (auto& a : v)print(a); } templateinline T sum(const vector& a, int l, int r) { return a[r] - (l == 0 ? 0 : a[l - 1]); } templateinline void END(T s) { print(s); exit(0); } void END() { exit(0); } class unionfind { VI par, rank; int forest_num; public: unionfind(const int& n) : par(n), rank(n, 1), forest_num(n) { FOR(i, 0, n)par[i] = i; } int root(int x) { if (par[x] == x)return x; return par[x] = root(par[x]); } int size(int x) { if (par[x] == x)return rank[x]; return size(par[x]); } void unite(int x, int y) { int rx = root(x), ry = root(y); if (rx == ry)return; if (rank[rx] < rank[ry]) { par[rx] = ry; rank[ry] += rank[rx]; } else { par[ry] = rx; rank[rx] += rank[ry]; } --forest_num; } bool same(int x, int y) { return root(x) == root(y); } int fnum() { return forest_num; } }; int main() { init(); int n, m; cin >> n >> m; vector> dst(m); for (auto& [d, s, t] : dst) { cin >> s >> t >> d; --s, --t; } graph g(n); unionfind uf(n); rSORT(dst); FOR(i, 0, m) { auto [d, s, t] = dst[i]; uf.unite(s, t); g[s].push_back(t); g[t].push_back(s); if (uf.same(0, n - 1)) { cout << d << " "; FOR(j, i + 1, m) { auto [D, S, T] = dst[j]; if (D != d)break; g[S].push_back(T); g[T].push_back(S); } break; } } VI dp(n, INF); dp[0] = 0; queue bfs; bfs.push(0); while (!bfs.empty()) { int cur = bfs.front(); bfs.pop(); for (int to : g[cur]) { if (!chmin(dp[to], dp[cur] + 1))continue; bfs.push(to); } } print(dp[n - 1]); return 0; }