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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Exercise Price) (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Oct. 25, 2015
Oct. 26, 2014
Oct. 27, 2013
Options Outstanding      
Number of Shares 1    
Options exercisable and expected to become exercisable, Number of Shares 1    
Weighted Average Exercise Price (in dollar per share) $ 12.45    
Options exercisable and expected to become exercisable, Weighted Average Exercise Price (in dollars per share) $ 12.45    
Weighted Average Remaining Contractual Life 3 years 9 months 15 days    
Options exercisable and expected to become exercisable, Weighted Average Remaining Contractual Life 3 years 9 months 15 days    
Aggregate Intrinsic Value $ 6 $ 19 $ 49
Options exercisable and expected to become exercisable, Aggregate Intrinsic Value $ 6    
Options Exercisable      
Number of Shares 1    
Weighted Average Exercise Price (in dollar per share) $ 10.98    
Aggregate Intrinsic Value $ 5    
Range $3.36 - $9.99      
Options outstanding and exercisable      
Exercise price range, lower range limit (in dollar per share) $ 3.36    
Exercise price range, upper range limit (in dollar per share) $ 9.99    
Options Outstanding      
Number of Shares 0    
Weighted Average Exercise Price (in dollar per share) $ 5.58    
Weighted Average Remaining Contractual Life 1 year 1 month 13 days    
Aggregate Intrinsic Value $ 4    
Options Exercisable      
Number of Shares 0    
Weighted Average Exercise Price (in dollar per share) $ 5.58    
Aggregate Intrinsic Value $ 4    
Range $10.00 - $15.06      
Options outstanding and exercisable      
Exercise price range, lower range limit (in dollar per share) $ 10.00    
Exercise price range, upper range limit (in dollar per share) $ 15.06    
Options Outstanding      
Number of Shares 1    
Weighted Average Exercise Price (in dollar per share) $ 15.03    
Weighted Average Remaining Contractual Life 4 years 9 months 18 days    
Aggregate Intrinsic Value $ 2    
Options Exercisable      
Number of Shares 1    
Weighted Average Exercise Price (in dollar per share) $ 15.00    
Aggregate Intrinsic Value $ 1