Mirror, Mirror on the Wall

Time Limit: 1000 ms Memory Limit: 65536 KiB

Problem Description

For most fonts, the lowercase letters b and d are mirror images of each other, as are the letters p and q. Furthermore, letters i, o, v, w, and x are naturally mirror images of themselves. Although other symmetries exists for certain fonts, we consider only those specifically mentioned thus far for the remainder of this problem.

Because of these symmetries, it is possible to encode certain words based upon how those words would appear in the mirror. For example the word boxwood would appear as boowxod, and the word ibid as bidi. Given a particular sequence of letters, you are to determine its mirror image or to note that it is invalid.

Input

The input contains a series of letter sequences, one per line, followed by a single line with the # character. Each letter sequence consists entirely of lowercase letters.

Output

For each letter sequence in the input, if its mirror image is a legitimate letter sequence based upon the given symmetries, then output that mirror image. If the mirror image does not form a legitimate sequence of characters, then output the word INVALID.

Sample Input

boowxod
bidi
bed
bbb
#

Sample Output

boxwood
ibid
INVALID
ddd