from collections import deque N,M = list(map(int,input().split())) edge = [[] for _ in range(N)] for _ in range(M): s,t,d = list(map(int,input().split())) s -= 1;t -= 1 edge[s].append((t,d)) edge[t].append((s,d)) def check(w): q = deque([0]) visited = [False for _ in range(N)] while(q): now = q.popleft() if(visited[now]):continue visited[now] = True for v,d in edge[now]: if(w > d):continue q.append(v) return visited[-1] def count(w): INF = 10**18 q = deque([(0,0)]) visited = [INF for _ in range(N)] while(q): now,dist = q.popleft() if(visited[now] != INF):continue visited[now] = dist for v,d in edge[now]: if(w > d):continue if(visited[v] <= dist + 1):continue q.append((v,dist+1)) return visited[-1] ok,ng = 0,10**9+1 while(ng - ok > 1): mid = (ok+ng)//2 if(check(mid)): ok = mid else: ng = mid W = ok L = count(W) print(W,L)