Monk and Modulo Based Sorting
Tag(s):

## Algorithms, Easy, Sorting

Problem
Editorial
Analytics

Monk likes to experiment with algorithms. His one such experiment is using modulo in sorting.He describes an array modulo sorted as:
Given an integer $k$, we need to sort the values in the array according to their modulo with $k$. That is, if there are two integers $a$ and $b$, and $a\%k < b\%k$, then $a$ would come before $b$ in the sorted array. If $a\%k=b\%k$ , then the integer which comes first in the given array remains first in the sorted array.
Given an initial array, you need to print modulo sorted array.

Input:
The first line consists of two integers $N$ and $k$, $N$ being the number of elements in the array and $k$ is the number with which we need to take the modulo.
The next line consists of $N$ space separated integers , denoting the elements of the array $A$.

Output:
Print the modulo sorted array of the given array.

Constraints:
$1 \le N \le 10^4$
$1 \le k \le 10^9$
$1 \le A[i] \le 10^9$; $1\le i \le N$

SAMPLE INPUT
5 6
12 18 17 65 46

SAMPLE OUTPUT
12 18 46 17 65

Explanation

12%6=0
18%6=0
17%6=5
65%6=5
46%6=4
So, the sorted order is: 12 18 46 17 65
12 and 18 have same result on modulo , so, 12 remains first in sorted array as it is first in given array

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++, C++14, Clojure, C#, D, Erlang, F#, Go, Groovy, Haskell, Java, Java 8, JavaScript(Rhino), JavaScript(Node.js), Julia, Lisp, Lisp (SBCL), Lua, Objective-C, OCaml, Octave, Pascal, Perl, PHP, Python, Python 3, R(RScript), Racket, Ruby, Rust, Scala, Swift, Visual Basic, Kotlin

## CODE EDITOR

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## This Problem was Asked in

Challenge Name

CodeMonk (Sorting)

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