MAY99_2 - Manku Word

Manku loves Codechef's Lucky Number and now he decided to start Manku words :)

Manku words are those words which have only letters 'm', 'a', 'n', 'k', 'u'.

Generally in english, 'a' comes before 'k', 'k' comes before 'm' and so on. But in Manku's dictionary, 'm' comes before 'a', 'a' comes before 'n', 'n' comes before 'k', 'k' comes before 'u'.

Thus according to manku

  • 1st manku word is m
  • 2nd manku word is a
  • 3rd manku word is n
  • 4th manku word is k
  • 5th manku word is u
  • 6th manku word is mm
  • 7th manku word is ma
and so on ...

Your task is very simple. For given value of n, write the n-th manku word.

Input

First line of input contains an integer t (1 <= t <= 100).

Each test case contains an integer n (1 <= n <= 10^18).

Output

For every test case print the n-th manku word on separate line.

Example

Input:
5
10
4
16
17
31

Output:
mu
k
nm
na
mmm

Added by:Mayank Tuteja
Date:2013-01-17
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM32 ASM64 GAWK BASH BF CSHARP C99 CLPS CLOJURE LISP sbcl LISP clisp D ERL FSHARP FORTRAN GO HASK ICON ICK JS-RHINO LUA NEM NICE NODEJS OCAML PAS-GPC PIKE PRLG-swi RUBY SCALA SCM guile SCM qobi SED ST TCL WHITESPACE
Resource:similar to codechef's lucky number

hide comments
2013-09-09 08:16:47 Anand Mishra
Nice problem....Enjoyed solving it!!!

Last edit: 2013-09-09 08:17:54
2013-09-05 07:50:48 pranjuldb
nice problem.... (y)
2013-08-30 18:34:09 Aswin Murugesh
Acc at first go :)
2013-08-23 14:00:51 P_Quantum
Easy one.. !!
2013-08-20 16:59:16 shashank khare
acctd at first go...
2013-08-19 21:05:55 The Mundane Programmer
what is answer for 10^18 .Plz help me :(
2013-08-19 21:04:19 The Mundane Programmer
ID 9872110 , getting WA after .10 Y ?
2013-08-19 20:42:11 The Mundane Programmer
Getting WA ....... but working in ideone
.
2013-07-27 09:52:21 Hamim Raavi
nice and simple logic... learned something good :)
2013-07-11 20:07:02 UnrealNinja
Easy question but a nice one nonetheless. Definitely worth it!

For those using JAVA (BufferedReader) and getting NZEC,
There are some stray whitespaces around the test cases. So, use trim() before parsing to number format.
eg: NumberType mankuWordIndex = NumberType.parseNumber(bufferedReader.readLine().trim());

There is no stray whitespace around the test count line (First Line).
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