DCEPC504 - The Indian Connection

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Rajesh Kuthrapali has a weird family structure. Every male member gives birth to a male child first and then a female child whereas every female member gives birth to a female child first and then to a male child. Rajesh analyses this pattern and wants to know what will be the Kth child in his Nth generation. Help him.

Note:

  1. Every member has exactly 2 children.
  2. The generation starts with a male member (Rajesh).
  3. In the figure given below:
                               M ------------ 1st generation
                             /   \
                            /     \
                           /       \
                          M         F ------- 2nd generation
                        /   \     /   \
                       M     F   F     M
                                 |
                                3rd child of 3rd generation

Input

First line specifies T, the number of test cases.

Next T lines each gives 2 numbers, N and K.

Output

Output 1 line for each test case giving the gender of the Kth child in in Nth generation.

Print “Male” for male “Female” for female (quotes only for clarification).

Constraints

1 <= T <=100
1 <= N <=10000
1 <= K <= min(10^15, 2^(n-1))

Example

Input:
4
1 1
2 1
2 2
4 5

Output:
Male
Male
Female
Female

hide comments
sekhmn: 2013-12-17 17:25:35

wonder if raj will ever reproduce

***: 2013-10-20 16:25:40

easy..
a little mstke cuz 1 wrong ans (/:\)

Yo Yo Honey Singh: 2013-08-28 09:59:11

3 WA only because of printing MALE/FEMALE... finally AC :)

pika_pika: 2013-07-19 10:32:16

elegant logic.. screwed my head for hours to find the logic. happy to solve :) AC at 1st go :)

Anmol Singh Jaggi: 2013-07-16 19:09:18

Great Question!!! (y)

Vaibhav Agarwal: 2013-07-09 05:52:53

very easy in python..... AC in 0.50 sec \m/

Last edit: 2013-07-09 05:53:34
Cool_coder: 2013-06-22 17:29:03

kindly chck my solution
solution id: 9530947
getting wa. plz see the solution

vishal chaudhary: 2013-06-13 10:47:02

@dce coders : getting WA ..:( ..checked for many test case , my code works fine...plz check my code ..submission id:9471672..thanks

Last edit: 2013-06-13 10:47:35
shiv prasad chabarval: 2013-06-12 18:30:03

got it
100th problem on spoj :)


Added by:dce coders
Date:2012-04-18
Time limit:1.726s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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