GCPC11F - Diary

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Nowadays, people who want to communicate in a secure way use asymmetric encryption algorithms such as RSA. However, my older brother uses another, simpler encryption method for his diary entries. He uses a substitution cipher where each letter in the plaintext is substituted by another letter from the alphabet. The distance between the plaintext letter and the encrypted letter is fixed. If we would define this fixed distance d to 5, A would be replaced by F, B by G, C by H ... Y by D, Z by E.

With a fixed and known distance d the decryption would be somewhat simple. But my brother uses random distances for each of his diary entries. To decrypt his diary I have to guess the distance d for each entry. Thus, I use the well known phenomenon that the letter E is used more often in English words than other letters. Can you write a program for me that calculates the distance d based on the fact that the most used letter in the encrypted text corresponds to the letter E in plaintext? Of course, I am interested in the decrypted text, too.

Input

The input consists of several test cases c that follow (1 ≤ c ≤ 100). Each test case is given in exactly one line containing one diary entry. Diary entries only use upper case letters (A-Z) and spaces. Each diary entry consists of at most 1000 encrypted letters (including spaces).

Output

For each test case, print one line containing the smallest possible distance d (0 ≤ d ≤ 25) and the decrypted text. If the decryption is not possible because there are multiple distances conforming to the rules above, print NOT POSSIBLE instead. Spaces are not encrypted.

Example

Input:
4
RD TQIJW GWTYMJWX INFWD JSYWNJX ZXJ F XNRUQJ JSHWDUYNTS YJHMSNVZJ
THE QUICK BROWN FOX JUMPS OVER THE LAZY DOG
XVIDRE TFCCVXZRKV GIFXIRDDZEX TFEKVJK UVTIPGKZFE
XVIDRE TFCCVXZRKV GIFXIRDDZEX TFEKVJK

Output:
5 MY OLDER BROTHERS DIARY ENTRIES USE A SIMPLE ENCRYPTION TECHNIQUE
10 JXU GKYSA RHEMD VEN ZKCFI ELUH JXU BQPO TEW
17 GERMAN COLLEGIATE PROGRAMMING CONTEST DECRYPTION
NOT POSSIBLE

hide comments
Atul Kumar Verma: 2013-05-27 19:21:01

i found it easy..AC in one go..!!!

Ali Kanaan: 2013-03-05 19:14:04

please, how can I know in which case I get WA
can any body check my submit for me please , id:8837056
I'm sure to cover most of the input possibility
unless the input of spaces
I don't know if you test such a case

Meraj Ahmed: 2013-02-17 19:41:20

getting wrong answer in judge 6, please point out where i am going wrong, submission id: 8733638

gourav: 2012-10-25 16:36:43

stupid question... waste of time

nikoo28: 2012-09-01 08:23:46

trick test case:
EER

output:
0 EER

raw_input(): 2012-06-29 12:24:27

more test case plz getting WA.....

Laplace: 2012-06-05 17:50:17

VERY BAD PROBLEM......

killerz: 2012-06-04 03:10:32

Nice prob :) Taught me this...
To avoid probs with getline in loops in c++ use cin.ignore(); after first cin

Tushar Agrawal: 2012-05-31 10:19:27

@Adrian - I am getting correct answer for whatever case i try, but Im getting WA. Please look at my code and tell me what is wrong: id: 7066730

mindfuck: 2012-05-29 07:50:48

Nice problem !!


Added by:Adrian Kuegel
Date:2011-07-05
Time limit:0.407s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:German Collegiate Programming Contest 2011 (Author: Tobias Werth)