#!/usr/bin/env python3 from collections import defaultdict from os import sep class UnionFind(): def __init__(self, n): self.n = n self.group_num = n self.parents = [-1] * n """ 要素xの値を取得。""" def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] """ 2つの要素の併合。""" 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 self.group_num -= 1 return """ 要素xの属する集合の要素数を取得。""" def size(self, x): return -self.parents[self.find(x)] """ 2つの要素が同一の集合に属するか。""" def same(self, x, y): return self.find(x) == self.find(y) """ 要素xと同一の集合の要素を全取得。 計算量 : O(N) """ def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] """ 各集合の根を全取得。 計算量 : O(N) """ def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] """ 集合の個数を取得。 v2 計算量 : O(1) """ def group_count_v2(self): return self.group_num """ 集合の個数を取得。 v1 計算量 : O(N) """ def group_count_v1(self): return len(self.roots()) """ 全集合の要素一覧を取得。 計算量 : O(N) """ 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()) class Kruskal(): def __init__(self, N: int) -> None: self.minimumG = [[] for _ in range(N)] # 全域最小木自体が欲しい場合にはこれを有効にする。 self.edges = [] self.uf = UnionFind(N) self.minimunCost = 0 return def addEdge(self, a: int, b: int, cost: int): self.edges.append((cost, a, b)) return def build(self): for cost, a, b in sorted(self.edges): if self.uf.same(a, b): continue self.minimunCost += cost self.uf.union(a, b) # --- 全域最小木自体を構築 --- self.minimumG[a].append(b) # self.minimumG[b].append(a) return self.minimunCost def main(): N, M = map(int, input().split()) tr = Kruskal(N) for _ in range(M): A, B = map(int, input().split()) tr.addEdge(A - 1, B - 1, 1) tr.build() ans = [] for i in range(N): for j in tr.minimumG[i]: ans.append(f"{i + 1} {j + 1}") print(len(ans)) print(*ans, sep="\n") return if __name__ == '__main__': main()