LCA offline#5217

LCA offline

1 second
128 megabytes
Medium

Initially you are given a tree consisting of only one root (the vertex with the number ). You need to answer the following queries:

The vertices are numbered from to . At each moment of time you have only one tree.

Input

The first line contains the number of queries . Next lines contain the queries. There are no more than queries of each type.

Output

For each query of type GET print in separate line one integer - the answer to the corresponding query.

Examples

Example 1

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