In fact, every number other than 0, is a happy number in binary.

Thanks & Regards,
Dhruva Sagar.


Ted Turner <http://www.brainyquote.com/quotes/authors/t/ted_turner.html>  -
"Sports is like a war without the killing."

On Sat, Sep 12, 2009 at 3:55 PM, amit jain <[email protected]> wrote:

>
> can any one prove that Decimal number 3 when represented in binary is happy
> no?
> On Sat, Sep 12, 2009 at 3:11 PM, Mahendra Kariya <[email protected]
> > wrote:
>
>> @Antoine: can u tell me ur user name on codejam. I would like to see your
>> code.
>> Regards,
>> Mahendra Kariya
>> http://www.mahendrakariya.blogspot.com
>>
>>
>> On Sat, Sep 12, 2009 at 3:00 PM, Nzeyimana Antoine 
>> <[email protected]>wrote:
>>
>>>
>>> You are right, you have to stop the loop at value when you already
>>> have that one in chain(in order to avoid useless repetitons) or just
>>> stop at a value equal to one(note that 1 has the same value in all
>>> bases: 2 ... 9) . Then you have to check if a given
>>> number(increamentally from 2 to max_int) has a happy chains in three
>>> bases provided . This solved my large input in around 2.5 minutes
>>> using Java on a 2.2GHz dual CPU, core2duo laptop, but I hope it should
>>> be much less with other languages like C .
>>> This problem was relatively easy for me to understand and solve
>>> because I did a similar one in TopCoder(@least building chain of
>>> digits square sum in base 10 ), but I didn't undertand the logic of 1C
>>>  ; so my question is ' Is there any big influence from previous
>>> exercises/contests or experiences to solve quickly these problems ?'.
>>>
>>> On 9/12/09, MntlChaos <[email protected]> wrote:
>>> >
>>> > Why would you do that? It's happy if it ever reaches 1. If it gets
>>> > into a different loop, it's unhappy. However, you are correct that 8
>>> > is not happy in base 10: 8 => 64 => 52 => 29 => 85 => 89 => 145 => 42
>>> > => 20 => 4 => 16 => 37 => 58 => 89, at which point we have a cycle (89
>>> > appeared twice).
>>> >
>>> > But 7 IS happy in base 10: 7 => 49 => 97 => 130 => 10 => 1
>>> >
>>> > On Sep 12, 1:18 am, Mahendra Kariya <[email protected]> wrote:
>>> >> I guess in the first ques of Round 1A, we have to check only until the
>>> sum
>>> >> of squares of digits is not a single digit integer. Say, for sum
>>> number,
>>> >> if
>>> >> we get the sum of square of digits 8, we stop there and declare it to
>>> be
>>> >> unhappy without doing 8*8 = 64 .
>>> >>
>>> >> Regards,
>>> >> Mahendra Kariyahttp://www.mahendrakariya.blogspot.com
>>> > >
>>> >
>>>
>>> --
>>> Sent from my mobile device
>>>
>>>
>>>
>>
>>
>>
>
> >
>

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