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## ACM_0098 - PLAYING FAIR WITH CRYPTOGRAPHY

Encryption is the process of taking plaintext  and producing the corresponding ciphertext.  One method to do this is the Playfair cipher. This cipher was  invented  by  (who  else)  Charles  Wheatstone  in  the 1850’s (but got its name from one of its most ardent promoters, the Scottish scientist Lyon Playfair). Unlike many substitution ciphers, the Playfair cipher does not  encrypt  single  letters  at  a  time,  but groups of two letters called digraphs. The encryption process uses a 5 × 5 grid generated by a secret key known only to the two parties using the cipher (hopefully). The grid is generated as follows: You write the letters of the key, one letter per square row-wise in the grid starting at the top. Any repeated letters in the key are skipped.  After this is done, the remaining unused letters in the alphabet are placed in order in the remaining squares, with I and J sharing the same square. For example, if the key was “ECNA PROGRAMMING CONTEST”, the generated square would look like the following:

You encrypt a digraph using the following rules:

1. If both letters are in the same row, replace each with the letter to its immediate right (wrapping around at the end). For example, using the above grid the plaintext digraph DS is encrypted as FB, and AP is encrypted as PE.
2. If both letters are in the same column, replace each with the letter immediately below it (again wrapping around at the bottom). For example, PF is encrypted as IU (or JU), and WO is encrypted as CS.
3. Otherwise, “slide” the first character across its row until it is in the same column as the second character, and do the same for the second character. The two characters you end up on are the encrypted characters of the digraph. If you view the original digraph as corners of a rectangle in the grid, you are replacing them with the characters in the other two corners. For example, TU is encrypted as FH, UT is encrypted as HF, and ZC is encrypted as WP.

What happens when the digraph contains  the  same  letter  twice?  In  the  original  Playfair  cipher  you insert the letter ‘X’ between the two letters and continue encrypting. You also use an extra ‘X’ at the end of the plaintext if you have an odd number of letters. Thus the plaintext “OOPS” would first be changed to the digraphs “OX”, “OP” and “SX” and then would be encrypted as “GWICBW” (using the grid above). Note that the plaintext “POOS” would not need any added letters since the two ‘O’s do not appear in the same digraph.

We’ll modify the Playfair cipher in one simple way: Instead of always using ‘X’ as the inserted letter, use ‘A’ the first time an insertion is needed, then ‘B’ the next time, and so on (though you should never use ‘J’ as an inserted letter; just go from ‘I’ to ‘K’). Once you hit ‘Z’, you go back to using ‘A’. If the inserted letter would result in a digraph with the same two letters, you just skip to the next inserted letter. For example, “OOPS” would now become the digraph stream “OA”, “OP”, “SB” before being encrypted, and the plaintext “AABCC” would become the digraph stream “AB”, “AB”, “CD”, “CE”.

Given a key and plaintext, you are to generate the corresponding ciphertext.

#### Input

The input file will start with an integer n indicating the number of problem instances. Each instance consists of two lines, the first containing the key and the second the plaintext to encrypt. Both of these may contain upper- and lower-case letters, as well as spaces and non-alphabetic characters (both of which should be ignored). For simplicity, the letters ‘j’ and ’J’ will never appear in any key or plaintext.

#### Output

For each problem instance, output the case number followed by the corresponding ciphertext using upper-case letters with no space. Always use the letter ‘I’ instead of ‘J’ in the ciphertext.

#### Examples

 № stdin stdout 1 1 ECNA Programming Contest 2013 This is the easy problem! Case 1: HVOFOFHVCPCPDWEIGSHNGD

 Ավելացրեց. Հրանտ Հովհաննիսյան (ԳՏՏԿ) Ամսաթիվ. 2014-01-25 Ժամանակի սահմանափակումը. 1s Ծրագրի տեքստի սահմանափակումը. 50000B Memory limit: 1536MB Cluster: Cube (Intel G860) Լեզուներ. Բոլորը բացի ASM32 ASM64 GAWK CLPS CLOJURE D ERL FSHARP FORTRAN GOSU HASK ICON ICK NEM NIM OBJC-CLANG PICO PIKE PYPY PY_NBC RUST SCM guile CHICKEN SED TCL WHITESPACE Աղբյուրը. NA East Central 2013.C