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Cash, Cash Equivalents and Investments (Details) - USD ($)
$ in Millions
Apr. 29, 2018
Oct. 29, 2017
Contractual maturities of investments    
Due in one year or less, Cost $ 442  
Due after one through five years, Cost 651  
No single maturity date, Cost 529  
Short-term and long-term investments, Cost 1,622 $ 3,334
Due in one year or less, Estimated Fair Value 442  
Due after one through five years, Estimated Fair Value 642  
No single maturity date, Estimated Fair Value 612  
Investments maturities, Estimated Fair Value $ 1,696 $ 3,409