Once I was in the final four with my friend in a fastings and the other two wanted her out but I didn't so I nominated myself instead, forcing a tie between my friend and the person I wanted out. Amazingly enough it worked; the algo chose my target to go on the block with me and then when the vote was tied, the algo saved me and the person I wanted out was gone. Probably my favorite "Holy Crap I can't believe that worked" moments.