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INTANGIBLE ASSETS - Schedule of Finite-Lived Intangible Assets (Details) - USD ($) $ in Thousands | Jul. 29, 2023 | Oct. 29, 2022
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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

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