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Note 7 - Income Tax Provision (Benefit) - Effective Income Tax Reconciliation (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 31, 2024
Oct. 31, 2023
Oct. 31, 2022
U.S. federal statutory tax rate $ (799) $ (893)  
U.S. federal statutory tax rate, percent 21.00% 21.00%  
State tax provision, net of federal tax benefit $ (170) $ (212)  
State tax provision, net of federal tax benefit, percent 4.50% 5.00%  
Permanent differences $ 14 $ 15  
Permanent differences, percent (0.40%) (0.40%)  
Stock options $ 45 $ 88  
Stock options, percent (1.20%) (2.10%)  
R&D credits $ 102 $ 238  
R&D credits, percent 2.70% 5.60%  
Uncertain tax position reserves $ 3 $ 13  
Uncertain tax position reserves, percent (0.10%) (0.30%)  
Return-to-provision adjustments $ 34 $ 69  
Return-to-provision adjustments, percent 0.90% 1.60%  
Valuation allowance $ 3,839 $ 124  
Valuation allowance, percent (100.90%) (2.90%)  
Income Tax Expense (Benefit) $ 2,796 $ (1,172) $ (1,172)
Income tax expense, percent (73.50%) 27.50%