Lucky Palin

Problem code: LUCKPAL

All submissions for this problem are available.

Chef Palin, as his name suggests, is always very interested in palindromic strings. Recently, he made a pretty interesting discovery on palindromes and that made him feel really Lucky. He came across something known as Lucky Palindromes. He defines a string as being a lucky palindrome if it is a palindrome containing the string "lucky" as a substring. As always, now he wants to turn every string he comes across into a lucky palindrome. Being a chef, he is a man of patience and creativity, so he knows the operation of replacing any character of the string with any other character very well and he can perform this action infinitely many times. He wants you to write a program that can help him convert a given string to a lucky palindrome using the minimum number of operations and if several such lucky palindromes are possible, then output the lexicographically smallest one.

Input

The first line contains a single integer T <= 100 the number of testcases. The following T lines each contain a string of length <= 1000 and only containing characters 'a'-'z'.

Output

For each line of testcase, your program should output on a single line, the required lucky palindrome along with the minimum number of operations, both separated by a single space. If there is no lucky palindrome possible, then just output "unlucky" in a single line.

Example:

Input

3
laubcdkey
luckycodechef
aaaaaaaa

Output

luckykcul 8
luckycocykcul 6
unlucky
Author: ankul_iiita
Date Added: 27-08-2011
Time Limit: 1 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC


Comments

Why is my solution not

pijush @ 20 Nov 2011 11:04 PM
Why is my solution not correct? But the output is correct when I test them in my pc. Kindly reply. My solution: http://www.codechef.com/viewsolution/736353

What should be the answer of

atiprashant @ 19 Dec 2011 12:58 PM
What should be the answer of luckyluckylucky for the problem ? ?

atiprashant, my AC program

brianfry713 @ 5 Jan 2012 12:36 PM
atiprashant, my AC program for input luckyluckylucky gives output luckylkcklykcul 6

pijush, for input evenlength,

brianfry713 @ 5 Jan 2012 12:43 PM
pijush, for input evenlength, your program returns luckyykcul 10 instead of ykcullucky 9.

Any help here, maybe I could

rakesh_ @ 27 Feb 2012 07:19 PM
Any help here, maybe I could not get the question properly. Please provide me some test cases where it fails. http://www.codechef.com/viewsolution/868901

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