I think this is (so far) the most efficient solution for large m. It requires at most log(4*m)/log(5) iterations; while the smaller sized solutions that have been suggested require at least 0.8*m iterations (or a very large array). For example, for m = 10^5, this solution takes at most 8 iterations while the other solutions of smaller size require at least 80,000 iterations.
Make a random, non-repeating vector.
Side of a rhombus
Sum of series VI
The number of trailing zero digit of a factorial
Under the sea: Snell's law & total internal reflection
Number of paths on a n-dimensional grid
Number of even divisors of a given number
Make a rainbow matrix (follow-up to checkerboard matrix)
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