RKS - RK Sorting

RK is a great code breaker. He knows any cipher in the world can be broken by frequency analysis. He intercepted an enemy message. The message consists of N numbers, smaller than or equal to C. RK belives freqency analysis consists of sorting this sequence so that more frequent numbers appear before less frequent ones.

Formally, the sequence must be sorted so that given any two numbers X and Y , X appears before Y if the number of times X appears in the original sequence is larger than the number of time Y does. If the number of appearances is equal, the number whoes value appears sooner in the input should appear sooner in the sorted sequence.
Help RK by creating a "frequency sorter".

Input

First line of input contains two integers, N (1 <= N <= 1000), length of message, and C (1 <= C <= 10^9), the number from task description. Next line contains N integers smaller than or equal to C, message itself.

Output

First and only line of output should contain N numbers, the sorted sequence.

Sample

Input
9 3
1 3 3 3 2 2 2 1 1

Output
1 1 1 3 3 3 2 2 2
Input
5 2
2 1 2 1 2

Output
2 2 2 1 1

Added by:BLANKRK
Date:2014-01-28
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64

hide comments
2014-10-22 21:52:44 Manraj Singh
Taught me many features of STL. Great problem. :D
2014-07-12 10:48:33 pandu ranga rao
Really STL rocks...... :)
2014-06-23 15:56:46 krishna kumar
wrong ans at 8th case .... any cornor case ??
... help !!
2014-05-26 19:53:19 SAGAR JAIN
What is the use of C?
I didn't use it and got AC.
2014-05-14 20:26:30 P_Quantum
nice prblm..!!
2014-04-11 22:56:44 AlcatraZ
Nice problem.. STL is awesome !!
2014-03-20 18:05:41 |RAMSDEN|
easy but nice prob.
AC in one go :-)
2014-03-13 18:35:33 Avinash
Cleverly crafted problem ! thanks !

Last edit: 2014-03-13 18:47:07
2014-03-13 17:02:16 Aravindan Chandrasekaran
Nice problem , learnt a lot (Y)
2014-03-06 14:51:34 Atul Aditya
@[blank]...my submission id is 11196002..
could u plz see to it why im getting WA after 9 runs :(
...thnku
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