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Message: [QUOTE="James Edward Gray II, post: 4495149"] Just so others see the effect of this, here are some timings from runs. The first is Ryan's original code, the second is the new version's first (cache-less) run, and the third is the code taking advantage of the cache: Neo:~/Documents/Ruby/Ruby Quiz$ time ruby solutions/Ryan\ Leavengood/ weird_numbers.rb 50000 Weird numbers up to and including 50000: ... real 0m6.258s user 0m6.170s sys 0m0.046s Neo:~/Documents/Ruby/Ruby Quiz$ time ruby solutions/Ryan\ Leavengood/ weird_numbers.rb 50000 Weird numbers up to and including 50000: ... This took 6.231214 seconds real 0m6.253s user 0m6.169s sys 0m0.044s Neo:~/Documents/Ruby/Ruby Quiz$ time ruby solutions/Ryan\ Leavengood/ weird_numbers.rb 50000 Weird numbers up to and including 50000: ... This took 0.096576 seconds real 0m0.116s user 0m0.102s sys 0m0.011s James Edward Gray II [/QUOTE]