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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>>>>
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