I think that with this kind of problem, you can process in two steps.
A first easy problem with small N (to test perms for example). And a harder problem with big N, which
oblige to find another algorithm.
Cell Counting: How Many Draws?
Create an 'arrow-head" matrix
select the primes of a vector
Relative ratio of "1" in binary number
Length of a short side
Points on a Sphere
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Community Problem 500!
Longest run of consecutive numbers
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