SPOJ.com - Problem COLONY

COLONY - Linearian Colony

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Description

Linearians are peculiar creatures. They are odd in several ways:

Every Linearian is either red or blue.
A Linearian colony is a straight line, aligned N-S with the magnetic field.
A colony starts with single red Linearian.
Every year, each Linearian produces an offspring of the opposite color. After birth, the parent moves just south of the offspring. (Since everyone is born at once, this does make for a lot of jostling, but everyone stays in order.)

So a colony grows as follows:

N ----------- S

Year 0: R
Year 1: BR
Year 2: RBBR
Year 3: BRRBRBBR
Year 4: RBBRBRRBBRRBRBBR

Given a year and a position along the N-S axis, determine what the color of the Linearian there will be.

Input

The first line is the year Y (0 ≤ Y ≤ 51). The second line is the position P from north to south, 0-indexed (0 ≤ P < 2^Y).

Output

The color of the Linearian, either red or blue.

Input	Input
3 6	51 123456789012345
Output	Output
blue	red

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	Mitch Schwartz: 2013-12-19 20:53:43 "WA on the 7th file" If you see "Running... (7)" that does NOT mean that you got the all the tests before that right. The judge doesn't halt on first failure. You can check this easily by submitting e.g. infinite loop code. I'm considering writing a FAQ for some things like this that come up over and over again in comments, wasting space that could be used for more constructive comments.
	thedarkone: 2013-12-19 20:11:52 WA on the 7th file could you please kindly provide the input and output required there ID:10698421 Last edit: 2013-12-19 20:21:04
	Bhavik: 2013-12-10 16:16:51 easy one:))there is similar problem like this...
	Jignesh: 2013-12-05 20:04:46 nice problem :)
	Laxus!!: 2013-12-05 11:13:27 SWEET!!
	harsh: 2013-11-25 18:58:52 learnt something new..:)
	nitish rao: 2013-11-13 12:28:20 Just a matter of 3 lines in C!! :D
	sumit jain: 2013-10-30 07:10:59 can any one tell me...m getting WA on 7th file(i think)...dont know what is the problem...its working fine on my pc :\
	Mitch Schwartz: 2013-10-29 21:20:41 @Mostafa: I meant for speed comparison. :) Having multiple test files each with just one case amplifies the effect of server instability, puts languages with startup time (like Java) at more of a time disadvantage, and limits the number of cases that can be given. For here, there is a nice solution that is both very concise and very fast. It is not a hard problem but involves some logic and I think it is well designed, which is why I moved it from partial (I have no idea why it was published there) to classical. Last edit: 2013-10-29 21:21:03
	Mostafa 36a2: 2013-10-29 20:42:47 @Mitch Schwartz : there (i think) 7 input files .. and the probability of getting AC with random answer is 0.0078125 . Edit: OK. I get it , btw .. it's a well-designed as you said :) Thanks Last edit: 2013-10-30 08:31:55

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Added by:	BYU Admin
Date:	2013-10-18
Time limit:	1s
Source limit:	50000B
Memory limit:	1536MB
Cluster:	Cube (Intel G860)
Languages:	All except: ASM32-GCC ASM64 MAWK BC C-CLANG NCSHARP CPP14 CPP14-CLANG COBOL COFFEE D-CLANG D-DMD DART ELIXIR FANTOM FORTH GOSU GRV JS-MONKEY JULIA KTLN NIM OBJC OBJC-CLANG OCT PICO PROLOG PYPY PYPY3 R RACKET RUST CHICKEN SQLITE SWIFT UNLAMBDA VB.NET