Two Versions of Quicksort with Python

I've been taking the Data Structures & Algorithms in Python class on Udacity.com. Lately, I've been working on implementing an in-place Quicksort two different ways. 

The first way follows the way they explained it in the class video. This version involves moving the pivot after each comparison:

The second way is based on a visualization they linked to from the lecture and this tutorial. It moves the pivot after all comparisons for each partition have been made, eliminates the need for the "j" variable that I have in the first version, and is a few lines shorter than the first version, but it is harder for me understand intrinsically:

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