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
2016-07-29 18:55:38
some good test cases ?
unable to figure out why getting wa.
2016-07-04 14:26:46 Deepak
removed it from the todo list after a very longtime..AC ;)
2016-06-22 11:09:04
thanks @deepak1228 :)
2016-06-10 13:33:39
make ur own pow function due to boundary limit of type conversion
2016-06-01 14:26:28
a month ago had no clue on how to solve this.
now could solve it in 15 minutes.
extremely problem. crack the logic by decoding the output for n=1 to n=30. You ll end up with the logic.
2015-12-31 15:29:41 Rishabh
easy one .....ac in 1st go......
2015-12-07 13:51:00
extremely easy one.....AC in 1st attempt:)
2015-12-03 13:14:59 Siddharth Singh
Loved It,Just Be Sure Of The 1st Test Case ;)
2015-12-03 12:22:33
gets accepted by simple brute force!!!:D
2015-09-01 22:40:41 shantanu tripathi
easy if u get the logic :)
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