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].
Construct a string from letters and counts
Make a 1 hot vector
Rubik's Cube: 30 Moves or Less : Cody Size
GJam: 2013 Rd1a Bullseye Painting - Large Numbers
QWERTY Shift Code Decoder
Elastic Collision 001: 1-D
Genome Sequence 001: Introductory DNA Sequencing
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