from collections import deque n, m = map(int, input().split()) std = [list(map(int, input().split())) for _ in range(m)] G = [[] for _ in range(n)] D = [] w = float('inf') for i in range(m): s, t, d = std[i] s -= 1 t -= 1 G[s].append((t, d)) G[t].append((s, d)) D.append(d) def bfs(cost): global w dist = [float('inf')] * n dist[0] = 0 q = deque([0]) while q: now = q.popleft() for nxt, d in G[now]: if dist[nxt] < dist[now] + 1: continue if d < cost: continue dist[nxt] = dist[now] + 1 if nxt == n-1: w = min(w, dist[nxt]) return True q.append(nxt) return False D.append(0) D.append(float('inf')) D.sort() ok = 0 ng = len(D) while ng - ok > 1: mid = (ng + ok) // 2 if bfs(D[mid]): ok = mid else: ng = mid print(D[ok], w)