Goodwill and Other Intangible Assets (Schedule of Goodwill and Other Intangible Assets) (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 01, 2019	Jun. 02, 2018	Jun. 03, 2017
Goodwill [Roll Forward]
Goodwill, Balance	$ 35,525	$ 35,525
Goodwill, Balance	35,525	35,525	$ 35,525
Finite-lived Intangible Assets [Roll Forward]
Other intangibles, Amortization	(2,795)	(2,842)	(2,200)
Other Intangibles, Finite-Lived, Balance	23,042
Intangible Assets (Excluding Goodwill) [Roll Forward]
Other intangibles, Balance	26,307	29,149
Other intangibles, Additions	250
Other intangibles, Balance	23,762	26,307	29,149
Water Rights
Indefinite-lived Intangible Assets [Roll Forward]
Other Intangibles, Indefinite-Lived, Balance	720	720
Other Intangibles, Indefinite-Lived, Balance	720	720	720
Franchise rights
Finite-lived Intangible Assets [Roll Forward]
Other Intangibles, Finite-Lived, Balance	21,583	23,214
Other intangibles, Amortization	(1,628)	(1,631)
Other Intangibles, Finite-Lived, Balance	19,955	21,583	23,214
Customer relationships
Finite-lived Intangible Assets [Roll Forward]
Other Intangibles, Finite-Lived, Balance	3,582	4,660
Other intangibles, Amortization	(1,078)	(1,078)
Other Intangibles, Finite-Lived, Balance	2,504	3,582	4,660
Non-compete agreements
Finite-lived Intangible Assets [Roll Forward]
Other Intangibles, Finite-Lived, Balance	86	104
Other intangibles, Amortization	(39)	(18)
Other Intangibles, Finite-Lived, Additions	250
Other Intangibles, Finite-Lived, Balance	297	86	104
Right of use intangible
Finite-lived Intangible Assets [Roll Forward]
Other Intangibles, Finite-Lived, Balance	0	66
Other intangibles, Amortization	0	(66)
Other Intangibles, Finite-Lived, Balance	0	0	66
Trademark
Finite-lived Intangible Assets [Roll Forward]
Other Intangibles, Finite-Lived, Balance	336	385
Other intangibles, Amortization	(50)	(49)
Other Intangibles, Finite-Lived, Balance	$ 286	$ 336	$ 385