Basic Dijikstra problem . :-)

On Wed, Jun 6, 2012 at 6:13 AM, Dheeraj Jain <[email protected]> wrote:

> http://www.geeksforgeeks.org/archives/14943
>
>
> On Mon, Jun 4, 2012 at 7:57 PM, Decipher <[email protected]> wrote:
>
>> @Victor - Someone had asked this question from me !! He told me its from
>> Project Euler Q-83.
>> @Hassan -  I think you are right. This question can be solved by
>> Dijikstra's algo, if we consider the matrix elements as weights.
>>
>>
>> On Monday, 4 June 2012 16:28:31 UTC+5:30, Hassan Monfared wrote:
>>>
>>> moving must be done in A* style
>>>
>>> On Mon, Jun 4, 2012 at 1:17 PM, atul anand <[email protected]>wrote:
>>>
>>>> i dont think so dijistra will worh here..bcozz we cannot move
>>>> diagonally ...but according to matrix this path can be considered.
>>>>
>>>> On Mon, Jun 4, 2012 at 1:39 PM, Hassan Monfared <[email protected]>wrote:
>>>>
>>>>> for non-negative values Dijkstra will solve the problem in ( O(N^2) )
>>>>> and Floyd-Warshal is the solution for negative cells. ( O(N^3) )
>>>>>
>>>>>
>>>>>
>>>>> On Mon, Jun 4, 2012 at 11:20 AM, atul anand 
>>>>> <[email protected]>wrote:
>>>>>
>>>>>> this recurrence wont work..ignore
>>>>>>
>>>>>> On Mon, Jun 4, 2012 at 8:55 AM, atul anand 
>>>>>> <[email protected]>wrote:
>>>>>>
>>>>>>> find cumulative sum row[0]
>>>>>>> find cumulative sum of col[0]
>>>>>>>
>>>>>>> after this following recurrence will solve the problem.
>>>>>>>
>>>>>>> start from mat[1][1]
>>>>>>>
>>>>>>> mat[i][j]=mat[i][j]+min( mat[i][j-1] , mat[i-1][j] )
>>>>>>>
>>>>>>>
>>>>>>> On Sun, Jun 3, 2012 at 7:30 PM, Decipher <[email protected]>wrote:
>>>>>>>
>>>>>>>> Q) In the 5 by 5 matrix below, the minimal path sum from the top
>>>>>>>> left to the bottom right, by moving left, right, up, and down, is 
>>>>>>>> indicated
>>>>>>>> in bold red and is equal to 2297.
>>>>>>>>
>>>>>>>>
>>>>>>>>      *131*
>>>>>>>>
>>>>>>>> 673
>>>>>>>>
>>>>>>>> *234*
>>>>>>>>
>>>>>>>> *103*
>>>>>>>>
>>>>>>>> *18*
>>>>>>>>
>>>>>>>> *201*
>>>>>>>>
>>>>>>>> *96*
>>>>>>>>
>>>>>>>> *342*
>>>>>>>>
>>>>>>>> 965
>>>>>>>>
>>>>>>>> *150*
>>>>>>>>
>>>>>>>> 630
>>>>>>>>
>>>>>>>> 803
>>>>>>>>
>>>>>>>> 746
>>>>>>>>
>>>>>>>> *422*
>>>>>>>>
>>>>>>>> *111*
>>>>>>>>
>>>>>>>> 537
>>>>>>>>
>>>>>>>> 699
>>>>>>>>
>>>>>>>> 497
>>>>>>>>
>>>>>>>> *121*
>>>>>>>>
>>>>>>>> 956
>>>>>>>>
>>>>>>>> 805
>>>>>>>>
>>>>>>>> 732
>>>>>>>>
>>>>>>>> 524
>>>>>>>>
>>>>>>>> *37*
>>>>>>>>
>>>>>>>> *331*
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> Write an algorithm to find the same. Also, write an algorithm if
>>>>>>>> the same matrix contains negative numbers (maybe negative cycle) and
>>>>>>>> compare the space and time complexity of both.
>>>>>>>>
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