Find sequences where all elements have same sign and then change sign

I have a series of lists with 7 elements (but could be any number). I am trying to find the lists that have all positive elements, all negative elements, and those that change sign at ANY point,

for example [3, 6, 7, -2, -5, -1, -1] or [3, 1, -1, -2, -1, -5, -1].

Note that, though I used integers in my example, the lists are actually made of floats.

I can easily find all lists that are always positive or negative, but how do I find those that change sign (it could go from positive to negative as in example or from negative to positive).

source https://stackoverflow.com/questions/72320439/find-sequences-where-all-elements-have-same-sign-and-then-change-sign

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