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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
Mar. 02, 2019
Mar. 03, 2018
Mar. 02, 2019
Mar. 03, 2018
Numerator for Basic and Diluted Earnings Per Share:        
Net (loss) income $ (1,078) $ 527 $ (951) $ 2,083
(Loss) income from continuing operations (1,078) 527 (951) 587
Undistributed losses - continuing operations, Basic (1,849) (236) (3,256) (1,697)
Undistributed losses - continuing operations, Diluted (1,849) (236) (3,256) (1,697)
Income from discontinued operations       1,496
Undistributed earnings (losses) - discontinued operations, Basic       (788)
Net (loss) income (1,078) 527 (951) 2,083
Undistributed losses - continuing operations, Basic     (3,256) (201)
Undistributed earnings (losses) - discontinued operations, Diluted       (788)
Undistributed losses - continuing operations, Diluted     (3,256) (201)
Basic        
Numerator for Basic and Diluted Earnings Per Share:        
Net (loss) income (1,078) 527 (951) 2,083
(Loss) income from continuing operations     (951) 587
Income from discontinued operations       1,496
Net (loss) income (1,078) 527 (951) 2,083
Diluted        
Numerator for Basic and Diluted Earnings Per Share:        
Net (loss) income (1,078) 527 (951) 2,083
(Loss) income from continuing operations     (951) 587
Income from discontinued operations       1,496
Net (loss) income $ (1,078) $ 527 $ (951) $ 2,083
Denominator for basic and diluted Earnings Per Share:        
Effect of dilutive securities dilutive stock options   80   40
Weighted Average Number of Shares Outstanding, Diluted 13,050 13,009 13,019 12,930
Common Class B        
Numerator for Basic and Diluted Earnings Per Share:        
Undistributed losses - continuing operations, Basic $ (272) $ (36) $ (482) $ (257)
Undistributed losses - continuing operations, Diluted $ (272) $ (36) (482) (257)
Undistributed earnings (losses) - discontinued operations, Basic       (120)
Undistributed losses - continuing operations, Basic     (482) (30)
Undistributed earnings (losses) - discontinued operations, Diluted       (120)
Undistributed losses - continuing operations, Diluted     $ (482) $ (30)
Denominator for basic and diluted Earnings Per Share:        
Weighted Average Number of Shares Outstanding, Basic 2,097 2,137 2,108 2,137
Weighted Average Number of Shares Outstanding, Diluted 2,097 2,137 2,108 2,137
Net (loss) income per share:        
Earnings Per Share, Basic $ (0.08) $ 0.04 $ (0.07) $ 0.15
Earnings Per Share, Diluted (0.08) 0.04 (0.07) 0.15
(Loss) income from continuing operations per share:        
(Loss) income from continuing operations, Basic (0.08) 0.04 (0.07) 0.04
(Loss) income from continuing operations, Diluted $ (0.08) $ 0.04 $ (0.07) 0.04
Income from discontinued operations per share:        
Income (loss) from discontinuing operations, Basic       0.11
Income from discontinued operations, Diluted       $ 0.11
Common Class B | Basic        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends     $ 342 $ 346
Common Class B | Basic | Continuing Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends $ 114 $ 115 342 346
Common Class B | Basic | Discontinued Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends       346
Common Class B | Diluted        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends     342 346
Common Class B | Diluted | Continuing Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends 114 115 342 346
Common Class B | Diluted | Discontinued Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends       346
Common Stock        
Numerator for Basic and Diluted Earnings Per Share:        
Undistributed losses - continuing operations, Basic (1,577) (200) (2,774) (1,440)
Undistributed losses - continuing operations, Diluted $ (1,577) $ (200) (2,774) (1,440)
Undistributed earnings (losses) - discontinued operations, Basic       (668)
Undistributed losses - continuing operations, Basic     (2,774) (171)
Undistributed earnings (losses) - discontinued operations, Diluted       (668)
Undistributed losses - continuing operations, Diluted     $ (2,774) $ (171)
Denominator for basic and diluted Earnings Per Share:        
Weighted Average Number of Shares Outstanding, Basic 10,953 10,792 10,911 10,753
Weighted Average Number of Shares Outstanding, Diluted 10,953 10,792 10,911 10,753
Net (loss) income per share:        
Earnings Per Share, Basic $ (0.08) $ 0.04 $ (0.07) $ 0.17
Earnings Per Share, Diluted (0.08) 0.04 (0.07) 0.17
(Loss) income from continuing operations per share:        
(Loss) income from continuing operations, Basic (0.08) 0.04 (0.07) 0.05
(Loss) income from continuing operations, Diluted $ (0.08) $ 0.04 $ (0.07) 0.05
Income from discontinued operations per share:        
Income (loss) from discontinuing operations, Basic       0.12
Income from discontinued operations, Diluted       $ 0.12
Common Stock | Basic        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends     $ 1,963 $ 1,938
Common Stock | Basic | Continuing Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends $ 657 $ 648 1,963 1,938
Common Stock | Basic | Discontinued Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends       1,938
Common Stock | Diluted        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends     1,963 1,938
Common Stock | Diluted | Continuing Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends $ 657 $ 648 $ 1,963 1,938
Common Stock | Diluted | Discontinued Operations        
Numerator for Basic and Diluted Earnings Per Share:        
Less dividends       $ 1,938