Stooge sort

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Template:Short description Template:Use dmy dates Template:Infobox Algorithm Stooge sort is a recursive sorting algorithm. It is notable for its exceptionally poor time complexity of <math>O(n^{\log 3/\log 1.5})</math> = <math>O(n^{2.7095...})</math> The algorithm's running time is thus slower compared to reasonable sorting algorithms, and is slower than bubble sort, a canonical example of a fairly inefficient sort. It is, however, more efficient than Slowsort. The name comes from The Three Stooges.<ref>Template:Cite web</ref>

The algorithm is defined as follows:

  • If the value at the start is larger than the value at the end, swap them.
  • If there are three or more elements in the list, then:
    • Stooge sort the initial 2/3 of the list
    • Stooge sort the final 2/3 of the list
    • Stooge sort the initial 2/3 of the list again

It is important to get the integer sort size used in the recursive calls by rounding the 2/3 upwards, e.g. rounding 2/3 of 5 should give 4 rather than 3, as otherwise the sort can fail on certain data.

Implementation

Pseudocode

<syntaxhighlight lang="javascript">

function stoogesort(array L, i = 0, j = length(L)-1){
    if L[i] > L[j] then       // If the leftmost element is larger than the rightmost element
        swap(L[i],L[j])       // Then swap them
    if (j - i + 1) > 2 then   // If there are at least 3 elements in the array
        t = floor((j - i + 1) / 3)
        stoogesort(L, i, j-t) // Sort the first 2/3 of the array
        stoogesort(L, i+t, j) // Sort the last 2/3 of the array
        stoogesort(L, i, j-t) // Sort the first 2/3 of the array again
    return L
}

</syntaxhighlight>

References

<references />

Sources

Template:Sorting

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