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Note 7 - Stock-based Compensation and Equity Transactions - Valuation Assumptions (Details) - $ / shares
3 Months Ended
Jan. 31, 2025
Jan. 31, 2024
Weighted average volatility 44.37% 53.32%
Expected dividends 0.00% 0.00%
Expected term (in years) (Year) 6 years 1 month 20 days 7 years 3 days
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) $ 2.2 $ 2.94