from collections import deque
def is_ok(w):
    # 条件を満たすかどうか？問題ごとに定義
    que = deque([(0,0)])
    visited = [float('inf')]*N
    visited[0] = 0
    while que:
      t,c = que.popleft()
      for i,j in l[t]:
        if w > j or c+1 >= visited[i]:
          continue
        visited[i] = c+1
        que.append((i,c+1))
    if visited[-1] == float('inf'):
      visited[-1] = -1
    return visited[-1]



def meguru_bisect(ng, ok):
    '''
    初期値のng,okを受け取り,is_okを満たす最小(最大)のokを返す
    まずis_okを定義すべし
    ng ok は  とり得る最小の値-1 とり得る最大の値+1
    最大最小が逆の場合はよしなにひっくり返す
    '''
    num = 0
    while (abs(ok - ng) > 1):
        mid = (ok + ng) // 2
        flg = is_ok(mid)
        if flg != -1:
            ng = mid
            num = flg
        else:
            ok = mid
    return (ng,num)

N,M = map(int,input().split())
l = [[] for _ in range(N)]

for _ in range(M):
  a,b,c = map(int,input().split())
  a -= 1
  b -= 1
  l[a].append((b,c))
  l[b].append((a,c))
ng,ok = 0,10**9
ans = meguru_bisect(ng,ok)

print(ans[0],ans[1])