from typing import List class UnionFind: """0-indexed""" def __init__(self, n): self.n = n self.parent = [-1] * n self.__group_count = n def unite(self, x, y) -> bool: """xとyをマージ""" x = self.root(x) y = self.root(y) if x == y: return False self.__group_count -= 1 if self.parent[x] > self.parent[y]: x, y = y, x self.parent[x] += self.parent[y] self.parent[y] = x return True def is_same(self, x, y) -> bool: """xとyが同じ連結成分か判定""" return self.root(x) == self.root(y) def root(self, x) -> int: """xの根を取得""" if self.parent[x] < 0: return x else: # 経路圧縮あり # self.parent[x] = self.root(self.parent[x]) # return self.parent[x] # 経路圧縮なし return self.root(self.parent[x]) def size(self, x) -> int: """xが属する連結成分のサイズを取得""" return -self.parent[self.root(x)] def all_sizes(self) -> List[int]: """全連結成分のサイズのリストを取得 O(N) """ sizes = [] for i in range(self.n): size = self.parent[i] if size < 0: sizes.append(-size) return sizes def groups(self) -> List[List[int]]: """全連結成分の内容のリストを取得 O(N・α(N))""" groups = dict() for i in range(self.n): p = self.root(i) if not groups.get(p): groups[p] = [] groups[p].append(i) return list(groups.values()) @property def group_count(self) -> int: """連結成分の数を取得 O(1)""" return self.__group_count from collections import defaultdict b = defaultdict(int) N, M = map(int, input().split()) for i in range(N): b[i] = i uf = UnionFind(N) for i in range(M): A, B = map(int, input().split()) sa, sb = uf.size(A-1), uf.size(B-1) ra, rb = uf.root(A-1), uf.root(B-1) ba, bb = b[ra], b[rb] uf.unite(A-1, B-1) if sa == sb: if ba < bb: b[ra] = ba b[rb] = ba else: b[ra] = bb b[rb] = bb elif sa > sb: b[ra] = ba b[rb] = ba else: b[ra] = bb b[rb] = bb for i in range(N): print(b[uf.root(i)]+1)