INTANGIBLE ASSETS - Schedule of Finite-Lived Intangible Assets (Details) - USD ($) $ in Thousands	Apr. 30, 2022	Oct. 30, 2021
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	$ 826,810	$ 778,870
Accumulated Amortization	(737,854)	(713,556)
Net Intangible	88,956	65,314
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	428,218	395,726
Accumulated Amortization	(374,782)	(359,828)
Net Intangible	53,436	35,898
Patents and licenses
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	7,815	7,815
Accumulated Amortization	(3,767)	(3,321)
Net Intangible	4,048	4,494
Customer relationships, covenants not to compete, outstanding purchase orders and contracts
Finite-Lived Intangible Assets [Line Items]
Gross Intangible	390,777	375,329
Accumulated Amortization	(359,305)	(350,407)
Net Intangible	$ 31,472	$ 24,922