from collections import deque class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n self.group = n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return self.group -= 1 if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] def group_count(self): return self.group def all_group_members(self): dic = {r:[] for r in self.roots()} for i in range(self.n): dic[self.find(i)].append(i) return dic def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) n, m = map(int, input().split()) std = [list(map(int, input().split())) for _ in range(m)] std.sort(key = lambda x:-x[2]) UF = UnionFind(n) for s, t, d in std: s -= 1 t -= 1 UF.union(s, t) if UF.same(0, n - 1): w = d break edges = [[] for _ in range(n)] for s, t, d in std: if d < w: continue s -= 1 t -= 1 edges[s].append(t) edges[t].append(s) queue = deque() dist = [-1] * n dist[0] = 0 queue.append(0) while queue: pos = queue.popleft() for npos in edges[pos]: if dist[npos] != -1: continue dist[npos] = dist[pos] + 1 queue.append(npos) print(w, dist[-1])