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Problems

Operations on graph

Operations on graph

Time limit 3 seconds
Memory limit 128 MiB

Create an undirected graph that supports the next operations:

  1. AddEdge(u, v) - add to the graph an edge between the vertices (u, v);

  2. Vertex(u) - print the list of vertices, adjacent with the vertex u.

There is no loops and multiple edges in the graph.

Input data

The first line contains the number of vertices in a graph n (1n10^5). The next line contains the number of operations k (0k10^6). Each next line describes the operation in format: "1 " or "2 ", representing respectively the operation AddEdge(u, v) and Vertex(u).

It is guaranteed that the total amount of numbers to be printed during all operations Vertex, does not exceed 2 * 10^5.

Output data

For each operation Vertex print in a separate line the list of adjacent vertices for a given vertex. The vertices in a list can be printed in any order. If some vertex hasn't adjacent vertices, print the empty line.

Examples

Input example #1
4
4
1 1 2
1 2 3
2 4
2 2
Output example #1
1 3