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Note 1 - Summary of Significant Accounting Policies (Details Textual) - USD ($)
shares in Thousands, $ in Thousands
3 Months Ended 12 Months Ended
Jun. 30, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Debt Securities, Held-to-maturity, Transfer, Amount   $ 119,790  
Other Comprehensive Income (Loss), Transfers from Held-to-maturity to Available-for-Sale Securities, before Tax $ 1,128 1,128  
Number of Days of Delinquent Loans Nonaccrual of Interest   90 days      
Minimum Number of Days of Discontinued Loan Payments for Modified Loan to be Placed on Nonaccrual   90 days      
Number of Days Past Due   30 days      
Threshold for Designation to Impaired Status   $ 250      
Minimum Number of Days Consumer Loans are Past Due for Losses to be Charged Off   120 days      
Maximum Number of Days Consumer Loans are Past Due for Losses to be Charged Off   180 days      
Number of Days Loans Secured by Residential Or Commercial Real Estate Are Past Due for Losses to Be Carged Off   180 days      
Period of Time Between Issuance of Loan Commitment and Closing and Sale of Loans Lower Range   30 days      
Period of Time Between Issuance of Loan Commitments and Closing and Sale of Loans Upper Range   60 days      
Goodwill, Impairment Loss   $ 0 $ 0 $ 0  
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent   21.00% 21.00% 35.00% 35.00%
Income Tax Expense (Benefit), Continuing Operations, Adjustment of Deferred Tax (Asset) Liability   $ 1,560  
Reclassification of Stranded Tax Effects from Change in Tax Rate        
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount   0 0    
Advertising Expense   $ 120 $ 106 148  
ASU 2018-02 [Member]          
Reclassification of Stranded Tax Effects from Change in Tax Rate       $ 1,718  
National Bank of Blacksburg [Member]          
Noncontrolling Interest, Ownership Percentage by Parent   100.00%      
Minimum [Member]          
Finite-Lived Intangible Asset, Useful Life   10 years      
Maximum [Member]          
Finite-Lived Intangible Asset, Useful Life   12 years      
Building [Member]          
Property, Plant and Equipment, Useful Life   40 years      
Furniture and Fixtures [Member] | Minimum [Member]          
Property, Plant and Equipment, Useful Life   3 years      
Furniture and Fixtures [Member] | Maximum [Member]          
Property, Plant and Equipment, Useful Life   10 years      
Computer Equipment [Member]          
Property, Plant and Equipment, Useful Life   3 years