Will fail on [0 0 0 0] or any longer vector of 0's.
I know... ;-) but it passes all the cases.
I implement this other solution before: http://www.mathworks.de/matlabcentral/cody/problems/2349-elements-with-highest-local-average/solutions/450770
Sum the numbers on the main diagonal
Solving Quadratic Equations (Version 1)
Integer Sequence - 1
Let's see how peculiar we can get
Construct a precedence graph from a code segment
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