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Income Taxes (Valuation Allowance) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 29, 2017
Oct. 30, 2016
Oct. 25, 2015
Movement in Valuation Allowances and Reserves [Roll Forward]      
Increases $ 0 $ 3 $ 0
Decreases (17) (1) (9)
Valuation Allowance of Deferred Tax Assets      
Movement in Valuation Allowances and Reserves [Roll Forward]      
Beginning balance 207 207 173
Increases 20 27 40
Decreases 0 (27) (6)
Ending balance $ 227 $ 207 $ 207