DCEPC504 - The Indian Connection

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

Added by:dce coders
Date:2012-04-18
Time limit:1.726s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:ASM32-GCC MAWK BC C-CLANG C NCSHARP C++ 4.3.2 CPP CPP14 CPP14-CLANG COBOL COFFEE D-CLANG D-DMD DART ELIXIR FANTOM FORTH GOSU GRV JAVA JS-MONKEY JULIA KTLN NIM NODEJS OBJC OBJC-CLANG OCT PICO PROLOG PYPY PYPY3 PY_NBC R RACKET RUST CHICKEN SQLITE SWIFT UNLAMBDA VB.NET
Resource:Own Problem

hide comments
2013-04-22 15:36:54 D Pratap
NZEC in java ??? Any Idea
[ed] ok did it in c++

Last edit: 2013-04-22 16:14:42
2013-04-12 15:35:21 ওয়াসী (Wasi)
Piece of cake when you know the trick!
Nice problem indeed ;)
2013-04-05 14:35:11 NodaR M JarraR
writing MALE & FEMALE instead of Male & Female costed me three wrong answers!! :(
2013-03-23 16:44:03 Eduardo Nunes
nice pattern, indeed... :-D
wrong log of powers of 2 cost me 3 WA :P
2013-03-23 00:09:47 [Lakshman]
Good one....
2013-02-20 18:24:14 kaun
How male can give birth.......?
2013-01-13 14:19:06 god_father
good question...
2013-01-09 10:10:49 malioboro
very nice problem, teach me how to implementation the idea...
2012-12-30 05:36:30 shreyas
Silly mistake, but yeah problem solved. Dont forget the decrement.
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