Your sentence is perfectly clear. It can only mean that you asked yourself to leave, which is nonsense. It doesn't mean choice b, because although we can ask ourselves something, we can't ask ourselves to do something.
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cho7712 Thank you for the answer.So it can be concluded that the only replaced part is the subject not the predication in the construction like 'so did I'.I'm sorry, but I don't follow you.
enoonTake "You asked him to leave, and so did I." That works, because we both asked him to leave. "So" takes the place of everything you did. "You asked him to leave, and [asked him to leave] did I.It seems that the way I expressed my thought was somewhat wrong.