Solution: ignore it.
Problem: hard to ignore when he leans against her.
Solution: ask what problem is.
Problem: hand stuck to hat due to meddling with Ukitake-taichou's cough mixture.
Solution: tell him he shouldn't have been meddling with cough mixture in first place.
Return to work.
Problem: Captain had some of the cough mixture on other hand too and is now attached to her shoulder.
(Solution: kill Captain.)
Solution: march Captain to Fourth Division to get cough mixture removed.
(Problem: Captain too good at making his problems hers too.)
(Solution: none yet known.)
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