DP can help us to find max path,
I couldn't find out any specific  solution for complexity less than O(n!)
but as an initial Idea, I think some kind of sorting rows or
modified Floyd-Warshal algorithm may help us.please discuss If you have any
Idea for challenge the problem.

On Sun, Aug 12, 2012 at 1:22 PM, MeHdi KaZemI <mehdi.kaze...@gmail.com>wrote:

> Yes, and all the values are positive integers.
>
> For example
> 1 2
> 3 4
> 5 6
> Maximum path in this matrix is 15,
>
> Another permutation of the same matrix
> 5 6
> 1 2
> 3 4
> Maximum path in this matrix is 17,
> We want the minimum value among these maximum paths.
>
>
> On 8/12/12, MeHdi KaZemI <mehdi.kaze...@gmail.com> wrote:
> > On 8/12/12, Hassan Monfared <hmonfa...@gmail.com> wrote:
> >> do we sum all cell values when we step over them ?
> >>
> >> On Sun, Aug 12, 2012 at 12:42 PM, MeHdi KaZemI
> >> <mehdi.kaze...@gmail.com>wrote:
> >>
> >>> Hi there,
> >>> There is a integer Matrix with dimensions n*2, If you want to go from
> >>> (1,1) to (n,2) and you are allowed just to go down or right, what's
> >>> the maximum value you can get? Alright this is easy, but we want to
> >>> consider all the permutations of rows of the matrix which is n!, find
> >>> this maximum for each permutation, and finally we want the minimum
> >>> amount among these maximum values.
> >>> Do you have an Idea to solve this problem better than O(n!)?
> >>>
> >>> --
> >>>    MeHdi KaZemI
> >>>
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