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Stock-Based Compensation - Director Fees (Details) (Director [Member])
12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
Director [Member]
     
Director Share Based Compensation [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Net of Forfeitures 0 0 0
Stock Issued During Period, Value, Share-based Compensation, Net of Forfeitures 2,779 3,301 0
Share-based Compensation Arrangement by Share-based Payment Award, Shares Issued in Period 15,746 18,119 7,464