Heads-up, one preflop bet only. Perfect plays.

[well]

I think the different equities of a hand against different sets of hands is not as subtle as you state it is.
The difference between JTs against different pairs of sevens should in my opinion not be considered. An optimal strategy does not distinguish this difference.
I agree that for each of your vector there are/is (a) best countervector(s).
But those vectors will - I think - never consist of numbers other than 0 and 1. Only don't cares could occur otherwise.
But the search is not for a perfect countervector as they are easily found. I called it "perfect" strategies, whereas I actually meant optimal ones.

O, and there are 169 hands to consider, not 178.

Looking forward for the next posts,

Regards.