from collections import defaultdict, deque class UnionFind: def __init__(self, n): self.n = n self.parents = [-1] * 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 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 len(self.roots()) def all_group_members(self): group_members = defaultdict(list) for member in range(self.n): group_members[self.find(member)].append(member) return group_members N, M = map(int, input().split()) edges = [list(map(int, input().split())) for _ in range(M)] edges.sort(key=lambda x: -x[2]) uf = UnionFind(N + 1) w = 0 G = [[] for _ in range(N)] for s, t, d in edges: uf.union(s, t) G[s - 1].append(t - 1) G[t - 1].append(s - 1) if uf.same(1, N): w = d break que = deque([0]) visited = [False] * N dist = [-1] * N visited[0] = True dist[0] = 0 while que: v = que.popleft() for u in G[v]: if visited[u]: continue visited[u] = True dist[u] = dist[v] + 1 que.append(u) print(w, dist[-1])