another question, in point 1, it deals with [0, X], where X from L-1 to R.
In point 2 here, it use [L-1,R], what is the relation or typo error?

On Mon, Oct 12, 2009 at 5:48 PM, Bharath Raghavendran
<rbharat...@gmail.com>wrote:

> My replies inline ...
>
> -Bharath
>
> 2009/10/12 Hawston LLH <haws...@gmail.com>
>
>> Can someone explain point 2?
>> ".... And there are only O(sqrt(N)) palindromes up to N - so the number
>> of groups of consecutive zeros or ones in the first N characters is
>> O(sqrt(N)).
>>
>
> consider N is some x digit number ... divide the digits into 2 parts ..
> first x/2 and the last x/2. Now assume that the first x/2 digits can be
> filled in k ways. For being a palindrome, the second x/2 is automatically
> decided. Otherwise, the second x/2 digits have their own k ways to be
> filled. Hence, there are roughly k palindromes in k^2 numbers. Hence
> O(sqrt(N)) palindromes up to N.
>
>
>> All groups except maybe two boundary ones fit into [L-1,R] segment
>> entirely...."
>>
>> what is the meaning of "All groups except maybe two boundary ones fit into
>> [L-1,R] segment entirely", is the group refers to group of ones
>> or zeros mentioned earlier?
>>
> Yes.
> consider [L-1,R] as 00000"0001111111100000000111"11111
> here, you have 2 groups that fit entirely into the range. And the 2
> boundary ones are not fitting.
>
>
>>
>>
>>
>>
>
> >
>

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