I am sure there are other more subtle ways to go about it but this seems about as fast as I can make it for a general brute-force solution (0.11s)
This one seems to work for the large test case, too, although it is not a general solution [for size(p,1)>100 it only tests corner points].
Find the sum of all the numbers of the input vector
Combinations without using nchoosek
User defined nextpow function
A matrix of extroverts
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Kaggle: Planetoid Game of Life - Solve 40 non-trivial Puzzles
GJam 2012 Qualifier: Tongues
Image Processing 01: Vignetting Correction
Coin Tossing: Probability of Same Heads for N tosses
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