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Fair Value of Financial Instruments
6 Months Ended
Jun. 30, 2022
Fair Value Disclosures [Abstract]  
Fair Value of Financial Instruments Fair Value of Financial Instruments
Cash and cash equivalents, accounts receivable, contract assets, prepaid expenses and other current assets, accounts payable, short-term debt, including the current portion of long-term debt, accrued expenses, contract liabilities, and other current liabilities are reflected on the consolidated balance sheets at amounts that approximate fair value because of the short-term nature of these financial assets and liabilities.

Private warrants and written put options are valued using a modified Black-Scholes option pricing model (“OPM”), which is considered to be a Level 3 fair value measurement. See Note N—Warrants for information on the Level 3 inputs used to value the private warrants and Note L—Written Put Option for information on the Level 3 inputs used to value the written put options.

The table below presents the financial liabilities measured at fair value on a recurring basis:
June 30, 2022
Balance Sheet Caption
Level 1
Level 2Level 3Total
Private warrantsOther non-current liabilities$— $— $138 $138 
Written put optionsDerivative liabilities— — — — 
December 31, 2021
Balance Sheet CaptionLevel 1Level 2Level 3Total
Private warrantsOther non-current liabilities$— $— $319 $319 
Written put optionsDerivative liabilities— — 44,827 44,827 
The changes in the fair value of the Level 3 liabilities are as follows:
Level 3
Private warrantsWritten put options
December 31, 2021$319 $44,827 
Changes in fair value(138)(1,281)
Settlements(43)(43,546)
June 30, 2022$138 $