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advanced_algorithms's Issues

An improvement on QuickSort

Quick sort algorithm can be optimized in many ways. For example, instead of selecting the last element, the benchmark element can randomly choose one, which avoids the case of an ordered array with the worst time complexity of log (n2).

Bug in interpolation search

There's a bug in the helper function used to implement interpolation search:

https://github.com/MauriceGit/Advanced_Algorithms/blob/master/Searching/interpolation_search.py#L10

Here's a snippet:

def search(S, e, l, r, count):
    # second check to avoid possible division by zero later on
    if l > r or S[l] == S[r]:
        return -1, count

The if statement as written incorrectly returns (-1, count) when, for example:

S = [1,1]
e = 1
l = 0
r = 1

A quick fix would be:

    if e == S[l]:
        return l, count
    elif l > r or S[l] == S[r]:
        return -1, count

But that's a bit ugly. There's probably a better way.

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