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Grovyle String

Problem

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**Trico** is trying to impress a girl. But the girl is not showing any sign of interest to him. So his best friend suggested him to gift one **Grovyle** string to her.
**Grovlye** string is a *odd length string consisting of only lowercase alphabets arranged in such a way that a number X associated with it is smallest as possible.*

**X** is calculated as : First take absolute distance of each character's position from the center of the string i.e., (*string length/2*) and then multiply the distance with its ASCII value. Similarly find all the values and add them.

Example : Given string : aaa

Here only one unique permutation is possible : aaa

distances are : for first a, d1 = 1, second a, d2 =0, third a, d3 = 1;

so X = 1 X 97 + 0 X 97 + 1 X 97 = 194;

So given a string of odd length consisting of only lowercase alphabets, find one permutation of the given string such that X is smallest as possible. And if there are many such strings then print the lexicographically smallest one.

**Input**:
First line contains T, the number of test cases that follow. Next T lines, each contains one odd length string consisting of only lowercase alphabets.

**Output**:
For each test case, print the desired result in separate lines.

**Constraints**:
1 ≤ **T** ≤ 1000
0 ≤ **String Length** ≤ 1001

Setter : Sourav Kumar Paul

Time Limit:
1.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
C,
C++,
Clojure,
C#,
D,
Erlang,
F#,
Go,
Groovy,
Haskell,
Java,
Java 8,
JavaScript(Rhino),
JavaScript(Node.js),
Lisp,
Lisp (SBCL),
Lua,
Objective-C,
OCaml,
Octave,
Pascal,
Perl,
PHP,
Python,
Python 3,
R(RScript),
Racket,
Ruby,
Rust,
Scala 2.11.8,
Swift,
Visual Basic

Initializing Code Editor...

{"d831f9c": "/pagelets/problem-author-tester/algorithm/grovyle-string/", "d831f5d": "/pagelets/show-submission/algorithm/grovyle-string/", "d831fc6": "/pagelets/recommended-problems/algorithm/grovyle-string/", "d831f83": "/pagelets/suggested-problems/algorithm/grovyle-string/", "d831fb2": "/pagelets/problems-hint/algorithm/grovyle-string/"}

{}

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