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
Miro Opiela: 2012-05-01 15:33:16

nice problem

Devil D: 2012-04-26 11:01:41

Last edit: 2012-04-27 12:53:58
Sidharth Gupta: 2012-04-25 17:26:48

@Devil D: Well yes, and this is one of them :)

Devil D: 2012-04-25 05:47:54

Cant the problems be designed without BIGINT


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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