[Anitius Severinus Boethius]

Remember though, that it is the score group before yours that is important! Even though +1 is 71 right now, the E group is 55. So in order to hit 61 (half of 112), they would take the +1 group as they have to fill to 61 and then those tied with them.

[jpl]

So in order to hit 61 (half of 112)

I think you may want to double-check your math there.