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Home » Compete » Encoder 2010 » A Negative Base Problem

A Negative Base Problem

Problem code: ENCD05

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We knows about base->2 (binary) integers and base->10 (decimal) integers, and various other positive bases. But what about negative bases. OK! lets talk about the "base-> -2". An integer n written in base -2 is a sequence of digits written right-to-left. Each of which is either 0 or 1 (no negative digits!), and the following equality must hold: n = b0 + b1(-2) + b2(-2)2 + b3(-2)3 + ... The cool thing is that every integer (including the negative ones) has a unique "base-> -2" representation, with no minus sign required. Your task is to find this representation.

Input

The Input consists of the number of test cases. Each one is a line containing a decimal integer n, in the range from -1,000,000,000 to 1,000,000,000, excluding 0. Terminate the input with n=0.

Output

For each test case, output one line containing base -2 representation of the input number.

Example

Input:
1
7
-2
0

Output:
1
11011
10


Author: rscrbv
Date Added: 19-01-2010
Time Limit: 3 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


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Comments

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Have we to print any blank

rosyish @ 24 Jan 2010 08:32 PM

Have we to print any blank line after the outputs or anything of that sort ?? I am quite sure my algorithm is correct but I am getting WA

we are starting to give hints

mangalsingh29 @ 24 Jan 2010 08:49 PM

we are starting to give hints on problems:

for this problem:

it is ad-hoc, just divide the no. by -2 and proceed!!

 

 

we are starting to give hints

mangalsingh29 @ 24 Jan 2010 08:49 PM

we are starting to give hints on problems:

for this problem:

it is ad-hoc, just divide the no. by -2 and proceed!!

 

 

Similar problem available on

rosyish @ 24 Jan 2010 08:52 PM

Similar problem available on SPOJ .. mine got acepted there but here it's not getting AC , is thr any additional spaces / blank lines tht we need to print .Reply soon

@ishani parekh it has alredy

mangalsingh29 @ 24 Jan 2010 09:04 PM

@ishani parekh

it has alredy been solved by many participants

plz do not write these kind of absurd comments

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