|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|6 초||512 MB||14||8||6||50.000%|
As you probably know, a tree is a graph consisting of n nodes and n − 1 undirected edges in which any two nodes are connected by exactly one path. A forest is a graph consisting of one or more trees. In other words, a graph is a forest if every connected component is a tree. A forest is justified if all connected components have the same number of nodes.
Given a tree G consisting of n nodes, find all positive integers k such that a justified forest can be obtained by erasing exactly k edges from G. Note that erasing an edge never erases any nodes. In particular when we erase all n − 1 edges from G, we obtain a justified forest consisting of n one-node components.
The first line contains an integer n (2 ≤ n ≤ 1 000 000) — the number of nodes in G. The k-th of the following n − 1 lines contains two different integers ak and bk (1 ≤ ak , bk ≤ n) — the endpoints of the k-th edge.
The first line should contain all wanted integers k, in increasing order.
8 1 2 2 3 1 4 4 5 6 7 8 3 7 3
1 3 7
Figures depict justified forests obtained by erasing 1, 3 and 7 edges from the tree in the example input.