Hi all!
Well, I agree with Shashwat in that Kumar is wrong with his solution. For
example a string " kumarxyzramuk " will tell you why.
I have a solution which runs in O(n*n) time. It is top-down dynamic
programming approach. Let me know if you don't understand something or if
there is some glitch in the solution. I think it is correct.

Link to the C++ code  - http://ideone.com/Qzs990


On Thu, Jun 5, 2014 at 7:13 PM, Shashwat Anand <[email protected]> wrote:

> Code ?
>
>
> On Thu, Jun 5, 2014 at 7:08 PM, kumar raja <[email protected]>
> wrote:
>
>> U have two dimensions for the table ( has O(n^2) entries.) and to check
>> whether string is palindrome or not it will take O(n) . So it is O(n^3)
>> solution.
>>
>> I have checked it manually for some inputs, and it works.
>>
>>
>> On 5 June 2014 18:53, Shashwat Anand <[email protected]> wrote:
>>
>>> I am not too sure about your O (N^3) solution even.  Can you link the
>>> working code ?
>>>
>>>
>>> On Thu, Jun 5, 2014 at 6:48 PM, kumar raja <[email protected]>
>>> wrote:
>>>
>>>> This is a very good collection of DP problems.
>>>>
>>>> I want the answers for problem 2(e)
>>>> and problem 14.
>>>>
>>>> for problem 14 the recurrence relation
>>>> that i have is
>>>>
>>>> T[i,j] = 0 if i>=j
>>>>            1 if j=i+1 and s[i]=s[j]
>>>>            0 if j=i+1 and s[i]!=s[j]
>>>>            j-i+1/2 if s[i..j] is even length palindrome
>>>>            j-i/2      if s[i..j] is odd length palindrome
>>>>            max{T[i+1,j],T[i,j-1]} else
>>>>
>>>> But this is O(n^3) solution. Could not
>>>> find out solution of order O(n^2).
>>>> If someone knows please share the answers for them.
>>>>
>>>>
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-- 
 -    Saurabh Paliwal

       B-Tech. Comp. Science and Engg.

       IIT ROORKEE

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