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I'm trying to typeset exercise with custom style, basically like this:

Exercise 1.1 [**] Some background.
1. First question.
2.[***] Then the second with different difficulty.

I've tried to \renewcommand and \def as manual suggests, however:

  1. I can't find one and also manual says there's no one definition for \questionHeader,
  2. To place the difficulty marker after number, I have to \renewcommand every level of exercise, is that what I should do?

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