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Note 7 - Stock-based Compensation and Equity Transactions (Tables)

6 Months Ended

Apr. 30, 2025

Notes Tables

Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions [Table Text Block]

		Six Months Ended April 30,
		2025				2024
Weighted average volatility			44.37	%			51.80	%
Expected dividends			0.00	%			0.00	%
Expected term (in years)			6.14				7.00
Risk-free interest rate			4.54	%			4.00	%
Weighted average fair value of options granted during the year		$	1.85			$	1.76
Weighted average fair value of options vested during the year		$	2.39			$	5.09

Share-Based Payment Arrangement, Option, Activity [Table Text Block]

		2025
		Shares or					Weighted
		Price Per					Average
		Share					Exercise Price
Outstanding at beginning of November 1, 2024			874,816				$	5.10
Options granted			212,500				$	3.97
Options exercised			(50,623		)		$	4.07
Options canceled or expired			(25,000		)		$	8.69
Options outstanding at April 30, 2025			1,011,693				$	4.82
Options exercisable at April 30, 2025			543,807				$	5.58
Options vested and expected to vest at April 30, 2025			1,011,693				$	4.82
Option price range at April 30, 2025		$1.90	-	$8.69
Aggregate intrinsic value of options exercised during year		$	43,756

X

- Definition

Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value.

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- Definition

Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions.

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