INTANGIBLE ASSETS - Schedule of Finite-Lived Intangible Assets (Details) - USD ($) $ in Thousands	Jul. 29, 2023	Oct. 29, 2022
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	$ 1,012,897	$ 826,904
Accumulated Amortization	(793,812)	(757,387)
Net Intangible	219,085	69,517
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	503,618	428,218
Accumulated Amortization	(408,090)	(386,300)
Net Intangible	95,528	41,918
In-process technology
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	89,100	0
Accumulated Amortization	0	0
Net Intangible	89,100	0
Patents and licenses
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	8,795	8,415
Accumulated Amortization	(4,967)	(4,228)
Net Intangible	3,828	4,187
Customer relationships, covenants not to compete, outstanding purchase orders and contracts
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	411,384	390,271
Accumulated Amortization	(380,755)	(366,859)
Net Intangible	$ 30,629	$ 23,412