*np *is nothing but *next_pointer. np[x] *does mean *x->np *which is the 
next pointer to node. Actually I am thinking in this way about *np, *that 
it stores the *XOR* value of *next* and *prev* pointers.Or Since *np *is a 
k-bit integer, the first k/2 bits wil be used for *next*, and other k/2 
bits wil be used for *prev *pointer.

On Wednesday, 20 June 2012 18:28:07 UTC+5:30, adarsh kumar wrote:
>
> Simple!
> Just traverse the doubly linked list and keep track of next and previous 
> of each node, and do XOR and save the result in a new pointer, what 
> according to you is "np".
> Be careful about boundary cases, i.e head and tail, though.
>
> On Wed, Jun 20, 2012 at 5:16 PM, Krishna Kishore <kknarenkris...@gmail.com
> > wrote:
>
>> Explain how to implement doubly linked lists using only one pointer value
>> * np[x*] per item instead of the usual two (next and prev). Assume that 
>> all pointer values can be interpreted as 
>> k-bit integers, and define* np[x] to be np[x] = next[x] XOR prev[x],*the 
>> k-bit “exclusive-or” of next[x] and prev[x]. (The value NIL is 
>> represented by 0.) Be sure to describe what information is needed to 
>> access the head of the list. Show how to implement the SEARCH, INSERT, and 
>> DELETE operations on such a list. Also show how to reverse such a list in 
>> O(1) time.
>>
>> This is the Question in the Book "*Introduction To Algorithms" *By 
>> CORMEN ( MIT Press ) Page Number : 209 , Problem No: 10.2-8.
>>
>> Thanks in Advance.
>>
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>

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