# UnionFind 参考は以下のサイト # https://note.nkmk.me/python-union-find/ from collections import defaultdict from collections import 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 def __str__(self): return '\n'.join(f'{r}: {m}' for r, m in self.all_group_members().items()) N,M = map(int, input().split()) Q = [[0] * 3 for i in range(M)] L = [] for i in range(N): L.append([]) for i in range(M): u,v,d = map(int, input().split()) Q[i][0]=u-1 Q[i][1]=v-1 Q[i][2]=d L[u-1].append((v-1,d)) L[v-1].append((u-1,d)) Q = sorted(Q, key=lambda x: x[2],reverse=True) W = 0 uf = UnionFind(N) for u,v,d in Q: uf.union(u,v) if uf.same(0,N-1): W=d break q = deque() qq = deque() q.append(0) qq.append(0) ALL = [0]*N while True: temp = q.popleft() tempq = qq.popleft() if temp==N-1: print(W,tempq) exit() for t,d in L[temp]: if ALL[t]==0 and W<=d: ALL[t]=1 q.append(t) qq.append(tempq+1)