CORRECTION, I mistype some of the * and & symbols, retyped below --you're wrong again. You perhaps have solved some other problem however, and maybe someday you should figure out what it is. Rewriting your n=3 examples as orderings 1 2& 3 2 1 3 this ordering is ok, actually 2 3&* 1 we see immediately that they each destroy previously created zeros at the * steps, and generically fail to zero that entry at all in the & steps. (And don't bother telling me your flawless computer program has shown the contrary. It is simply wrong. We already did that.) My suggestion is (although I do not know if anything is capable of saving you) try to perform everything by hand, not computer, until you realize what I was saying holds. -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)