On a Tuesday, an accountant has exactly seven bills numbered 1 through 7to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules:
Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday.
Bill 1 cannot be paid on the same day as bill 5.
Bill 2 must be paid on Thursday.
Bill 4 must be paid on the same day as bill 7.
If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday.
If bill 2 and bill 6 are paid on different days from each other, which one of the following must be true?
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