> is it really possible for the second `qhat` (i.e. `q0`) to be off by 2? Yes. I don't have an example in front of me, though. I think there may be one in Knut

> is it really possible for the second `qhat` (i.e. `q0`) to be off by 2? Yes. I don't have an example in front of me, though. I think there may be one in Knuth vol 2. I'll take a look after toddler bedtime is over =)