#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const int MOD = 1000000007; //const int MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; struct Union_Find_Tree{ vector data; const int n; Union_Find_Tree(int n) : data(n, -1), n(n) {} int root(int x){ if(data[x] < 0) return x; return data[x] = root(data[x]); } int operator [] (int i) {return root(i);} bool unite(int x, int y){ x = root(x), y = root(y); if(x == y) return false; if(data[x] > data[y]) swap(x, y); data[x] += data[y], data[y] = x; return true; } int size(int x) {return -data[root(x)];} bool same(int x, int y) {return root(x) == root(y);} void clear() {fill(begin(data), end(data), -1);} }; template struct Graph{ struct edge{ int to, id; edge(int to, int id) : to(to), id(id) {} }; vector> es; const int n; int m; Graph(int n) : es(n), n(n), m(0) {} void add_edge(int from, int to){ es[from].emplace_back(to, m); if(!directed) es[to].emplace_back(from, m); m++; } int bfs(int s, int t){ queue que; vector d(n, inf); que.emplace(s), d[s] = 0; while(!que.empty()){ int i = que.front(); que.pop(); each(e, es[i]){ if(chmin(d[e.to], d[i]+1)){ que.emplace(e.to); } } } return d[t]; } }; int main(){ int N, M; cin >> N >> M; vector u(M), v(M), d(M); rep(i, M){ cin >> u[i] >> v[i] >> d[i]; u[i]--, v[i]--; } int l = 0, r = inf; //[l,r) while(r-l > 1){ int m = (l+r)/2; Union_Find_Tree uf(N); rep(i, M){ if(d[i] >= m) uf.unite(u[i], v[i]); } if(uf.same(0, N-1)) l = m; else r = m; } cout << l << ' '; Graph G(N); rep(i, M){ if(d[i] >= l){ G.add_edge(u[i], v[i]); } } cout << G.bfs(0, N-1) << '\n'; }