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For questions about dividing groups of objects based on their properties.

1 vote
1 answer
2k views

Insertion Sort Average Case

Although I know "Insertion Sort" has an average time complexity of O(n^2) (although not really familiar with the notation myself, i got that O(f(n)) is basically any constant multiplied to f(n) or ...
Hemispherr's user avatar
1 vote
1 answer
400 views

Find 3rd largest number out of 7 under at most 11 comparisons

I know similar problem like "sort 5 numbers in 7 comparisons". I know no general algorithms exist. Do I just enlist all possible game trees?
ERJAN's user avatar
  • 177
1 vote
1 answer
525 views

Distribution probability of elements and pair-wise differences in a sorted list

Suppose a set of $m$ integers from $0$ to $n-1$. The integers are uniformly distributed and unique in the set ($n \gg m$). Then, put all the integers into a list an sort that list: $$x_0 < x_1 < ...
doc's user avatar
  • 1,307
1 vote
1 answer
660 views

Does switching between different $L_p$ norms preserve order?

Suppose you have a list of $n$ dimensional vectors. One can order them by using an $L_p$ norm to do comparisons between vectors. The general questions is, will the order be different depending on the ...
Cam.Davidson.Pilon's user avatar
0 votes
1 answer
607 views

Which one gives better constant factors between heap sort and quick sort?

Heap Sort has complexity $\mathcal{O}(n\lg(n))$ and Quick Sort with some tuning (choosing the pivot in a random order) on average also sorts in $\mathcal{O}(n\lg(n))$ and both of these are tight upper ...
Geek's user avatar
  • 2,349
0 votes
0 answers
2k views

Algorithm for Liquid sort puzzle

I recently came across this game and it is really interesting. https://play.google.com/store/apps/details?id=com.picolaf.liquidsortpuzzle&hl=en_US&gl=US The goal here is to sort the liquid of ...
nandishajani's user avatar
-1 votes
2 answers
1k views

Need help analyzing a merge sort

Im working on trying to understand merge sorts better and had a professor give me this to try to help. It is finals week and I have been trying to walk through this problem but have been having ...
Sampson's user avatar

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