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The following table summarizes the weighted average fair value and assumptions for 2023 and 2022. (Details) - $ / shares
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Offsetting Assets [Line Items]    
Weighted average grant-date fair value of stock options [1] $ 16.20
Weighted average grant-date market prices of empire stock (strike price) [1] 10.33 15.42
Equity Option [Member]    
Offsetting Assets [Line Items]    
Weighted average grant-date fair value of stock options $ 4.52 $ 4.55
Risk-free interest rate 3.90% 1.60%
Dividend yield 0.00% 0.00%
Expected volatility 64.90% 56.00%
Expected option life (in years) 2 years 10 months 17 days 2 years 11 months 26 days
Weighted average grant-date market prices of empire stock (strike price) $ 10.07 $ 11.80
[1] Shares are valued at the grant-date market price.