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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