Say you have an n*n "chessboard" where each square is associated with
a real number (pos or neg). You want to navigate from one side to the
other by either moving one space ahead or one space ahead and one
space to the side (either side). I need an relatively efficient
algorithm that will optimize the path so that the sum of the values of
the squares that are touched is maximized. An easy to implement
algorithm would be great.

Thanks in advance.
Max


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