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Calculation of Earnings Per Share - Schedule of Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
3 Months Ended 9 Months Ended
Feb. 29, 2020
Mar. 02, 2019
Feb. 29, 2020
Mar. 02, 2019
Numerator for Basic and Diluted Earnings Per Share:        
Net loss $ (93) $ (1,078) $ (558) $ (951)
Undistributed losses, Basic (869) (1,849) (2,884) (3,256)
Undistributed losses, Diluted $ (869) $ (1,849) $ (2,884) $ (3,256)
Denominator for Basic and Diluted Earnings Per Share:        
Weighted Average Number of Shares Outstanding, Diluted 13,135 13,050 13,119 13,019
Basic        
Numerator for Basic and Diluted Earnings Per Share:        
Net loss $ (93) $ (1,078)    
Diluted        
Numerator for Basic and Diluted Earnings Per Share:        
Net loss (93) (1,078)    
Common Class B        
Numerator for Basic and Diluted Earnings Per Share:        
Undistributed losses, Basic (127) (272) $ (422) $ (482)
Undistributed losses, Diluted $ (127) $ (272) $ (422) $ (482)
Denominator for Basic and Diluted Earnings Per Share:        
Weighted Average Number of Shares Outstanding, Basic 2,097 2,097 2,097 2,108
Weighted Average Number of Shares Outstanding, Diluted 2,097 2,097 2,097 2,108
Net loss per share:        
Earnings Per Share, Basic $ (0.01) $ (0.08) $ (0.04) $ (0.07)
Earnings Per Share, Diluted $ (0.01) $ (0.08) $ (0.04) $ (0.07)
Common Class B | Basic        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends $ 114 $ 114 $ 340 $ 342
Common Class B | Diluted        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends 114 114 340 342
Common Stock        
Numerator for Basic and Diluted Earnings Per Share:        
Undistributed losses, Basic (742) (1,577) (2,462) (2,774)
Undistributed losses, Diluted $ (742) $ (1,577) $ (2,462) $ (2,774)
Denominator for Basic and Diluted Earnings Per Share:        
Weighted Average Number of Shares Outstanding, Basic 11,038 10,953 11,022 10,911
Weighted Average Number of Shares Outstanding, Diluted 11,038 10,953 11,022 10,911
Net loss per share:        
Earnings Per Share, Basic $ (0.01) $ (0.08) $ (0.04) $ (0.07)
Earnings Per Share, Diluted $ (0.01) $ (0.08) $ (0.04) $ (0.07)
Common Stock | Basic        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends $ 662 $ 657 $ 1,986 $ 1,963
Common Stock | Diluted        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends $ 662 $ 657 $ 1,986 $ 1,963