How to do a full outer join in Linq?

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I think I have the answer here, which is not as elegant as I’d hoped, but it should do the trick:

var studentIDs = StudentClasses.Select(sc => sc.StudentID)
  .Union(StudentTeachers.Select(st => st.StudentID);
  //.Distinct(); -- Distinct not necessary after Union
var q =
  from id in studentIDs
  join sc in StudentClasses on id equals sc.StudentID into jsc
  from sc in jsc.DefaultIfEmpty()
  join st in StudentTeachers on id equals st.StudentID into jst
  from st in jst.DefaultIfEmpty()
  where st == null ^ sc == null
  select new { sc, st };

You could probably squeeze these two statements into one, but I think you’d sacrifice code clarity.

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