## https://yukicoder.me/problems/no/1640 from collections import deque class UnionFind: """ UnionFindの基本的な処理を実装したクラス """ def __init__(self, size): self.root = [i for i in range(size)] self.size = [1] * size def get_root(self, v): if v == self.root[v]: return v else: old_root = self.root[v] new_root = self.get_root(old_root) self.root[v] = new_root return new_root def merge(self, u, v): root_u = self.get_root(u) root_v = self.get_root(v) if root_u == root_v: return False if self.size[root_u] >= self.size[root_v]: self.size[root_u] += self.size[root_v] self.root[root_v] = root_u self.root[v] = root_u else: self.size[root_v] += self.size[root_u] self.root[root_u] = root_v self.root[u] = root_v return True def main(): N = int(input()) edges = [] for _ in range(N): a, b = map(int, input().split()) edges.append((a - 1, b - 1)) # まずは塗ることができるかの判定 uf = UnionFind(N) rest_edges = [] for i in range(N): a, b = edges[i] if not uf.merge(a, b): rest_edges.append(i) composites = {} for i in range(N): root_i = uf.get_root(i) composites[root_i] = 0 for i in rest_edges: a, _ = edges[i] root_i = uf.get_root(a) composites[root_i] += 1 for v in composites.values(): if v != 1: print("No") return print("Yes") # ボールの塗り方を調べる next_nodes = [[] for _ in range(N)] for i in range(N): a, b = edges[i] next_nodes[a].append((b , i)) next_nodes[b].append((a , i)) answer = [-1] * N passed = [False] * N for edge_index in rest_edges: s, _ = edges[edge_index] queue = deque() queue.append(s) passed[s] = True while len(queue) > 0: v = queue.popleft() for w, i in next_nodes[v]: if i == edge_index: continue if not passed[w]: answer[i] = w + 1 passed[w] = True queue.append(w) answer[edge_index] = s + 1 for i in range(N): print(answer[i]) if __name__ == "__main__": main()