I like the way James present a problem: educatiive and interesting.
Specific Element Count
Make a random, non-repeating vector.
Get the elements of diagonal and antidiagonal for any m-by-n matrix
Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock.
Points on a Sphere
Make one vector from two others
Pandigital Multiples of 11 (based on Project Euler 491)
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