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Sep 21, 2018 at 17:20 review Reopen votes
Sep 22, 2018 at 11:12
Jul 16, 2018 at 4:14 history closed Wheat Wizard
Laikoni
user202729
Asone Tuhid
user45941
Needs details or clarity
Jul 13, 2018 at 15:59 review Close votes
Jul 14, 2018 at 11:20
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Jul 27, 2014 at 18:47 history tweeted twitter.com/#!/StackCodeGolf/status/493467673779765249
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Jul 27, 2014 at 4:33 history edited Todd Lehman CC BY-SA 3.0
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Jul 27, 2014 at 3:17 answer added isaacg timeline score: 7
Jul 27, 2014 at 2:41 comment added Todd Lehman @user2357112 — Yeah, definitely. Gotta use something like long double in C to get the whole 64-bit unsigned integer range (which does work, BTW...I've verified). Of course, this requires your compiler to implement long double such that sizeof(long double) >= 10.
Jul 27, 2014 at 2:40 history edited Todd Lehman CC BY-SA 3.0
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Jul 27, 2014 at 2:32 comment added user2357112 Most floating-point data types don't have the precision needed for this task anyway. 53 significant bits isn't enough for the whole input range.
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Jul 27, 2014 at 1:05 comment added Milo @ToddLehman ok :)
Jul 27, 2014 at 1:05 comment added Todd Lehman @Milo — Right. Don't raise something to the 2/4 power either. Heh. No fractional exponents was really the intention of my statement.
Jul 27, 2014 at 1:02 comment added Milo Does 2/4 count?
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Jul 26, 2014 at 21:13 history edited Todd Lehman CC BY-SA 3.0
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Jul 26, 2014 at 21:08 comment added Todd Lehman @JanDvorak — Ah yes. If 2^k ≤ n < 2^{k+1}, k≥0 ∈ ℤ, then O(log₂(n)) = O(log₂(2^k)) = O(k), and O(√n) = O(√{2^k}) = O(2^{k/2}), which is exponential in k, as you point out. I wrote O(log₂(n)) because I was thinking more in terms of the input value n than in terms of n's scale, so without specifying what I meant by n, I'm sure that was pretty confusing.
Jul 26, 2014 at 21:06 answer added John Dvorak timeline score: 7
Jul 26, 2014 at 20:50 comment added John Dvorak Umm... O(log_2 n) === O(log_4 n). log_4(n) = log_2(n) / log_2(2) = log_2(n) / 2
Jul 26, 2014 at 20:50 comment added John Dvorak Normally one uses the size of the input rather than the input value to derive algorithmic complexity. In that sense the increment-and-retry algorithm is exponential in speed.
Jul 26, 2014 at 20:48 comment added Todd Lehman @JanDvorak — I guess I meant it in more than the bonus sense. It wasn't until after formulating the original question that I realized it would be trivial to write a simple O(√n) looping version in very few number of characters, which isn't really very interesting. So in some sense, it's a separate challenge, but really I am looking for solutions that are good performance, e.g., O(log₂(n)) or O(log₄(n)).
Jul 26, 2014 at 20:44 answer added Todd Lehman timeline score: 4
Jul 26, 2014 at 20:35 answer added Todd Lehman timeline score: 2
Jul 26, 2014 at 20:34 comment added John Dvorak "but O(log₄(n)) time would really be better." - how much better? Is there a bonus? Is that a hard requirement? Is it essentially a separate challenge? Is that just a nice idea that doesn't really affect the scoring?
Jul 26, 2014 at 20:23 history asked Todd Lehman CC BY-SA 3.0