$($Discounted payback period$)$ Assuming an appropriate discount rate of $13$ percent, what is the discounted payback period on a project with an initial outlay of $$110,000$ and the following free cash flows?

Year $1=$$$25,000$

Year $2=$$$40,000$

Year $3=$$$35,000$

Year $4=$$$40,000$

Year $5=$$$30,000$

Year $6=$$$20,000$

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The project's discounted payback period is years. $($Round to two decimal places.$)$