Ah, yup, you're right. Ballmer's answer of "high or low" isn't in the offset number system, but the normal one, so my strategy doesn't work. That's what I get

Ah, yup, you're right. Ballmer's answer of "high or low" isn't in the offset number system, but the normal one, so my strategy doesn't work. That's what I get for not thinking it through properly, thank you for pointing that out!