If my over-use of str2num has in any way caused offense, I hereby beg leave to apologize.
My hat's off to you for such a solution. I'm baffled as to how to decode it (pun intended). I know that there has been a lot of furor over the use of regexp and other string-based functions, conversions, etc. to lower solution sizes for problems in general, but this problem is string-based, so I see no problem in solving it via arcane string methods.
Select every other element of a vector
Fix the last element of a cell array
Area of an equilateral triangle
Spot the First Occurrence of 5
Scrabble Scores - 6
Lights Out 8 - 5x5, light-only solution? I
Evened up (or not)
Rule of mixtures (composites) - weighted bound
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