Algorithms and Data Structures

Remove the K-th element of a linked list

Given a linked list, you are asked to execute q queries on it. There are 2 types of queries:

  1. print - the program should print the linked list

  2. remove k - the program should remove the k-th element from the linked list.

Input

The initial data for the linked list is obtained automatically. You don’t need to do anything.

The first line of the input contains a single integer q (1 ≤ q ≤ 1000).

The next q lines contain the queries - print in case the program should print the linked list and remove k if the program should remove the k-th node (0 ≤ k ≤ |L|).

Output

The program should correctly print the values in the linked list for all the print queries. The values should be separated by spaces.

Examples

Input

Output

10
4 0 -2 3 5 7 -1 8 -9 3
5
print
remove 2
remove 9
print
print

4 0 -2 3 5 7 -1 8 -9 3
4 -2 3 5 7 -1 8 -9
4 -2 3 5 7 -1 8 -9

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 10 MB

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