COLONY - Linearian Colony

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Description

Linearians are peculiar creatures. They are odd in several ways:
  1. Every Linearian is either red or blue.
  2. A Linearian colony is a straight line, aligned N-S with the magnetic field.
  3. A colony starts with single red Linearian.
  4. 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

hide comments
Vivek Mangal: 2015-07-09 21:13:30

didn't read 0-based indexing.costed too many WA.

:.Mohib.:: 2015-02-21 13:27:55

Cake walk.... :)

VIVEK GARG: 2015-02-18 14:57:09

Just manipulate with the indices correctly.

devil: 2014-12-13 21:30:37

i keep getting WA...although my code is perfectly fine i hav checked it for all critical cases like 0 0, 51 2^51-1,51 2^51-3,etc

Itachi_Uchiha: 2014-12-02 17:39:01

In 1 go!

Last edit: 2014-12-03 10:22:51
.::Austin::.: 2014-11-14 09:16:34

using the logic similar to Indian Connection, giving WA here :(

Nishanth Vijayan: 2014-09-18 14:36:04

DCEPC504 similar question.

L: 2014-07-23 09:41:10

gud One........

rajul: 2014-07-21 13:31:06

really easy.. just read the ques carefully.. silly mistake costed 2 WA

Piyush Raman Srivastava: 2014-01-23 21:05:34

0 index not 1 !!


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