from collections import deque import sys input = sys.stdin.readline def main(): n, m = map(int, input().split()) edge = [[] for _ in range(n + 1)] for _ in range(m): s, t, d = map(int, input().split()) edge[s].append((t, d)) edge[t].append((s, d)) left, right = 1, 10**9 + 10 while right - left > 1: mid = (left + right) // 2 flag = False Que = deque([1]) C = [10**18 for _ in range(n + 1)] C[1] = 0 while Que: cp = Que.popleft() if cp == n: flag = True break cnt = C[cp] for np, w in edge[cp]: if w < mid: continue if cnt + 1 > C[np]: continue C[np] = cnt + 1 Que.append(np) if flag: left = mid else: right = mid Que = deque([1]) C = [10**18 for _ in range(n + 1)] C[1] = 0 while Que: cp = Que.popleft() if cp == n: print(left, C[cp]) break cnt = C[cp] for np, w in edge[cp]: if w < left: continue if cnt + 1 > C[np]: continue C[np] = cnt + 1 Que.append(np) if __name__ == '__main__': main()