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Note 7 - Stock-based Compensation and Equity Transactions - Valuation Assumptions (Details) - $ / shares
6 Months Ended
Apr. 30, 2025
Apr. 30, 2024
Weighted average volatility 44.37% 51.80%
Expected dividends 0.00% 0.00%
Expected term (in years) (Year) 6 years 1 month 20 days 7 years
Risk-free interest rate 4.54% 4.00%
Weighted average fair value of options granted during the year (in dollars per share) $ 1.85 $ 1.76
Weighted average fair value of options vested during the year (in dollars per share) $ 2.39 $ 5.09