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
SangKuan: 2015-07-10 03:30:42

you can ignore the n

Aditya Kumar: 2015-06-26 11:35:39

phew!! simple code with a silly mistake costed me WA's.

Shashank Garg: 2015-06-23 18:25:13

same logic...used bitwise costed me 5 WAs.. used pow() and got AC

Ankit Sultana: 2015-04-25 20:23:28

Beware of bitwise operators, if you are using one.

Madhav: 2015-04-14 11:49:46

recursion works!!

Deeksha: 2014-12-26 10:14:36

AC in 1st go :)
My 50th..

Last edit: 2014-12-26 10:15:48
Hafeezul Rahman: 2014-12-02 04:10:39

Last edit: 2014-12-02 04:11:24
Shubham Mohanka: 2014-11-18 17:52:08

my code worked without using 'n' at all.i wonder why it is given o.O

.::Austin::.: 2014-11-13 21:55:22

AC in 0.0, silly overflow caused several WAs :(

Shankar Chaudhary: 2014-10-12 08:38:46

finally accepted in 0.02s . small silly mistake cause 1 wa ,i used M & F instead of Male & Female :-p

Last edit: 2014-10-12 08:56:43

Added by:dce coders
Date:2012-04-18
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