# 体重何キロまで行ける、は単調なので二分探索可能 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 heapq import heappush, heappop INF = 10 ** 18 def dijkstra(s, n, connect): #(始点, ノード数) distance = [INF] * n que = [(0, s)] #(distance, node) distance[s] = 0 confirmed = [False] * n # ノードが確定済みかどうか while que: w,v = heappop(que) if distance[v]= W: edges[s].append((t, 1)) edges[t].append((s, 1)) distance = dijkstra(1, N+1, edges) #print(distance) if distance[N] == INF: return 0, distance[N] else: return 1, distance[N] OK = 0 NG = 10**9+1 while NG-OK>1: mid = (NG+OK)//2 if check(mid)[0] == 1: OK = mid else: NG = mid ans_W = OK ans_distance = check(ans_W)[1] print(ans_W, ans_distance)