title: Lomuto's Partition, stable or not?
body: <p>I tried to search on Web and in my algorithms book
  if the <strong>Lomuto's specific solution</strong> of QSort Partition is <strong>stable or not</strong> (I know that the Hoare's version is unstable)
  but i didn't find a precise answer.<br>
  So I've tried to make same examples and it seems stable. But I didn't demonstrate it.
  Could you help me?
  If it is not stable, could you find me an example of input?</p>