Heh...a 24 point increase in Cody Size is what I get for doing the loops efficiently. :-)
Is this matrix orthogonal?
Scoring for oriented dominoes
Make a random, non-repeating vector.
Rotate input square matrix 90 degrees CCW without rot90
Permute diagonal and antidiagonal
Increasing sub-sequence (Level 1)
Aztec Diamond domino tilings
Return the sequence element I
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