#include using namespace::std; const int N = 100000 + 5; int n; int m; int D[N]; vector G[N]; vector W[N]; void BFS(int src, int limit){ queue Q; for(int i = 1; i <= n; i++) D[i] = -1; Q.emplace(src); D[src] = 0; while(!Q.empty()){ int u = Q.front(); Q.pop(); for(int i = 0; i < G[u].size(); i++){ int v = G[u][i]; int w = W[u][i]; if(limit <= w and D[v] == -1){ D[v] = D[u] + 1; Q.emplace(v); } } } } int main(){ scanf("%d %d", &n, &m); for(int i = 1; i <= m; i++){ int u, v, w; scanf("%d %d %d", &u, &v, &w); G[u].emplace_back(v); G[v].emplace_back(u); W[u].emplace_back(w); W[v].emplace_back(w); } int lo = 1, hi = 1e9; while(lo < hi){ int mi = lo + (hi - lo + 1) / 2; BFS(1, mi); if(D[n] != -1) lo = mi; else hi = mi - 1; } BFS(1, lo); printf("%d %d\n", lo, D[n]); return 0; }