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Re^2: Common Perl Pitfalls

by Joe_ (Beadle)
on Apr 09, 2012 at 23:50 UTC ( [id://964229]=note: print w/replies, xml ) Need Help??


in reply to Re: Common Perl Pitfalls
in thread Common Perl Pitfalls

Care to elaborate on that "quadratic" comment? How do you figure? I'm not that good with complexity theory, I'm afraid...

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Re^3: Common Perl Pitfalls
by JavaFan (Canon) on Apr 10, 2012 at 13:22 UTC
    Care to elaborate on that "quadratic" comment?
    Say you want to delete all elements in the second half of the array. The first N/2 iterations of your loop, no splicing happens. But on the N/2 + 1st iteration, the splicing takes at least N/2 - 1 steps, as that many array elements need to be moved. On the N/2 + 2nd iteration, the splicing takes at least N/2 - 2 steps. In total, you will be moving

    ΣN/2-1i=1(i)

    array elements. If I've done my math correctly, the above sum equals (N2 - 2N + 4)/8. Which means your algorithm runs in Ω(N2) time.

      Wonderful. Thanks for enlightening me...

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