class UnionFind def initialize(n) @size = Array.new(n, 1) @parent = [] n.times do |i| @parent[i] = i end end def find(x) if @parent[x] == x x else @parent[x] = find(@parent[x]) end end def unite(x, y) x = find(x) y = find(y) return if x == y @parent[y] = x @size[x] += @size[y] end def same(x, y) find(x) == find(y) end def size(x) @size[find(x)] end end N, M = gets.chomp.split.map(&:to_i) uf = UnionFind.new(N) M.times do a, b = gets.chomp.split.map { |i| i.to_i - 1 }.sort next if uf.find(a) == uf.find(b) if uf.size(a) > uf.size(b) uf.unite(a, b) elsif uf.size(a) < uf.size(b) uf.unite(b, a) else if uf.find(a) < uf.find(b) uf.unite(a, b) else uf.unite(b, a) end end end N.times do |i| puts uf.find(i) + 1 end