A while ago, George’s grandparents had to switch from analog to digital TV receiver. On their old analog receiver they could watch only two channels: ~BLJTV1~ and ~BLJTV2~. Switching to digital receiver they gained dozens of new channels, but they still wanted to watch just the two channels they had before. They asked George to adjust the remote control in a way that ~BLJTV1~ is on first and ~BLJTV2~ on the second key.

When switched on, digital receiver creates a list of available channels. All of the channels are distinct and the list always contains ~BLJTV1~ and ~BLJTV2~. George found the remote and he started adjusting the receiver. Menu contains the channel list and a little arrow which is marking the currently selected channel. After entering the menu, the arrow is marking the first channel on the list.

There are four operations in the menu, denoted with numbers 1 to 4:

1. move the arrow one place down (from channel ~i~ to channel ~i+1~)
2. move the arrow one place up (from channel ~i~ to channel ~i-1~)
3. move the arrow and selected channel one place down (channel i and channel ~i+1~ are switching places, arrow ends up in place ~i+1~)
4. move the arrow and selected channel one place up (channel i and channel ~i-1~ are switching places, arrow ends up in place ~i-1~)

Menu is robust, so invalid commands (such as a command which would move the arrow outside of the channel list) are just ignored.

Write a program which will, given a channel list, output a sequence of any operations such that, after they are executed, ~BLJTV1~ will be on the first, and ~BLJTV2~ on the second place in channel list. Additionally, the sequence length should be less than 500. Ordering of all other channels is arbitrary.

INPUT

First line of input contains a positive integer ~N (2 \leq N \leq 100)~, number of channels. Next N lines contain a list of channels generated by the digital receiver. Each line contains the name of one channel. Channel name is a sequence of at most 10 characters - capital letters of English alphabet and digits. Input sequence is created in such way that it will always be required to make at least one operation.

OUTPUT

First and only line of output should contain the sequence of George’s commands with no spaces in between.

SAMPLE TESTS