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
2021-10-01 16:10:26
recursion or loop both works but don't try to do 1<<n because 1 <= N <=10000.
2020-04-21 12:16:07
log(n) sol
2019-07-29 09:26:59
Applied binary search,didn't expect to get Accepted.
It got anayway!!
2018-08-08 16:51:59
I made my own power function(binary exponentiation) and got TLE then I used c++ standar pow() and got accepted ... thanks to @Shashank Garg
2018-06-14 19:07:47
https://en.wikipedia.org/wiki/Thue%E2%80%93Morse_sequence
Read Direct Definition and thank me later :)
2018-06-11 13:13:37
Apply recurrence relation
https://en.wikipedia.org/wiki/Thue-Morse_sequence
2017-07-11 20:58:36
thue morse series
learned something new

Last edit: 2017-07-12 06:18:46
2017-05-20 13:32:21
no recursion ... loop only :)
2017-04-02 20:25:07
accepted ...after 1 WA.
2017-03-02 05:37:54
O(1); but an extra WA for initially using the wrong builtin.
© Spoj.com. All Rights Reserved. Spoj uses Sphere Engine™ © by Sphere Research Labs.