# 体重決め打ちで二分探索、BFSでどうか N, M = map(int, input().split()) edge_list = [] for i in range(M): s, t, d = map(int, input().split()) edge_list.append((s, t, d)) from collections import deque INF = 10**10 def BFS(weight): edges = [[] for i in range(N+1)] for s, t, d in edge_list: if d >= weight: edges[s].append(t) edges[t].append(s) que = deque() que.append(1) distance = [INF]*(N+1) distance[1] = 0 while que: current = que.popleft() for nxt in edges[current]: if distance[nxt] > distance[current]+1: distance[nxt] = distance[current]+1 que.append(nxt) #print(distance) return distance[N] #for w in range(1, 5): # print(w, BFS(w)) OK = 0 NG = 10**9+1 while NG-OK>1: mid = (NG+OK)//2 if BFS(mid) == INF: NG = mid else: OK = mid print(OK, BFS(OK))