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Note 7 - Stock-based Compensation and Equity Transactions - Options Outstanding (Details) - $ / shares
6 Months Ended
Apr. 30, 2024
Nov. 01, 2023
Outstanding, shares (in shares) 754,186  
Outstanding, weighted average exercise price (in dollars per share) $ 5.19 $ 6.04
Options granted, shares (in shares) 245,001  
Options granted, weighted average exercise price (in dollars per share) $ 3.01  
Exercise of stock options (in shares) 0  
Options cancelled, shares (in shares) 36,015  
Options cancelled (in dollars per share) $ 8.07  
Options outstanding, shares (in shares) 963,172  
Options exercisable, shares (in shares) 516,776  
Options exercisable, weighted average exercise price (in dollars per share) $ 5.94  
Options vested and expected to vest, shares (in shares) 957,705  
Options vested and expected to vest, weighted average exercise price (in dollars per share) $ 5.09