Socializing Game around Pizza

Problem code: BIGPIZA

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Did you know that the people of America eat around 100 acres of pizza per day ? Having read this fact on internet, two chefs from the Elephant city, Arjuna and Bhima are set to make pizza popular in India. They organized a social awareness camp, where N people ( other than these two ) sit around a large pizza. To make it more interesting, they make some pairs among these N people and the two persons in a pair, feed each other.

Each person should be a part of at most one pair and most importantly, to make feeding easy, any two pairs should not cross each other ( see figure for more clarity ). Arjuna and Bhima decided to play a game on making the pairs. In his turn, a player makes a pair ( selects two persons, as long as its valid ) and this pair start feeding each other. Arjuna and Bhima take turns alternately, by making a pair in each turn, and they play optimally ( see Notes for more clarity ). The one who can not make a pair in his turn, loses. Given N, find who wins the game, if Arjuna starts first.

Notes

  • 'Optimally' means, if there is a possible move a person can take in his turn that can make him win finally, he will always take that. You can assume both are very intelligent.

Input

First line contains an integer T ( number of test cases, around 1000 ). Each of the next T lines contains an integer N ( 2 <= N <= 10000 )

Output

For each test case, output the name of the winner ( either "Arjuna" or "Bhima" ( without quotes ) ) in a new line.

Example

Input:
4
2
4
5
6

Output:
Arjuna
Arjuna
Bhima
Arjuna

Explanation:

Let the people around the table are numbered 1, 2, ... , N in clock-wise order as shown in the image

Case 1 : N = 2. Only two persons and Arjuna makes the only possible pair (1,2)

Case 2 : N = 4. Arjuna can make the pair (1,3). Bhima can not make any more pairs ( without crossing the pair (1,3) )

Case 3 : N = 5. No matter which pair Arjuna makes first, Bhima can always make one more pair, and Arjuna can not make any further

Author: flying_ant
Date Added: 2-05-2011
Time Limit: 2 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC


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