@Dave fine with the 1d prob...how about extending to 2D sir...??


On Thu, Dec 8, 2011 at 1:18 AM, Dave <dave_and_da...@juno.com> wrote:

> @Siva: The distance function, d(x) is not differentiable at each of
> the individuals' locations, and is piecewise linear between the
> locations. The minimum will either be at a point where the derivative
> of d() is 0 or undefined. Based on this, we can say the following:
>
> For the 1-d problem, if there is an odd number of individuals, the
> optimal meeting point is at the median individual. If there is an even
> number of individuals, any point between the individuals that are on
> either side of the median is an optimal meeting point. E.g., if the
> individuals are at 1, 2, and 3, 2 is the optimal meeting point, while
> if the individuals are at 1, 2, 3, and 4, any point between 2 and 3 is
> an optimal meeting point. In any case, one of the individuals'
> locations is an optimal point.
>
> Dave
>
>
> On Dec 7, 10:46 am, Siva <sivabsang...@gmail.com> wrote:
> > Consider that there are n (finite)individuals standing at different
> > points  on a line.Now we need to find the meeting point of all the
> > n  .They can move either left or right and every single step is added
> > to the output .
> >
> > This same problem is extended for a 2D array. here they can move up
> > down left right .find the meeting point.
> >
> > Note meeting point neednt be the point of one of the n individuals
>
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