What is your citizenship status? Are you a US Citizen? Are you a Greencard holder? Are you giving up your greencard if you are?
You may need to file as a Dual Status Alien if you were a Resident Alien and left the US and you had any income from US Sources after you left the country. Otherwise, you may only need to file a 1040 form (for which you could use TurboTax) on the income you received while a resident of the US. If you are now a NRA, and have no income from US sources after leaving the country, you would not need to file anything for the time you were not in this country.
You would also include a statement with your 1040 form to establish your residency termination date. See page 13 of pub 519 for details on what to include in the statement.
As for which version of TurboTax to use. You will need to print and mail your return to include the termination statement, but you would be able to use the free version if you have been using that in the past.
If you do have income from US sources that you received AFTER you terminated your residency, you would need to file a 1040NR to claim that income. You can use Sprintax.com to do this or print and mail it from the IRS website.
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