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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>>>
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