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Carrying Amounts and Fair Values of Certain Assets (Detail) - USD ($)
$ in Thousands
Dec. 31, 2023
Jan. 01, 2023
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash equivalents, carrying amount $ 50,732 $ 23,779
Restricted cash equivalents, carrying amount 133,063 117,212
Investments in marketable securities, carrying amount 16,720 13,395
Advertising fund cash equivalents, restricted, carrying amount 69,199 124,496
Investment in DPC Dash 143,553 125,840
Fair Value, Inputs, Level 1 [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash equivalents, carrying amount 50,732 23,779
Restricted cash equivalents, carrying amount 133,063 117,212
Investments in marketable securities, carrying amount 16,720 13,395
Advertising fund cash equivalents, restricted, carrying amount 69,199 124,496
Investment in DPC Dash $ 143,553  
Fair Value, Inputs, Level 3 [Member]    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Investment in DPC Dash   $ 125,840