Oppenheimer Bank is offering a $30-$year mortgage with an APR of $5\mathrm{.}19\%$ based on monthly compounding. With this mortgage, your monthly payments would be $$1,966$ per month. In addition,Oppenheimer Bank offers you the following deal: Instead of making the monthly payment of $$1,966$ every month, you can make half the payment every two weeks $($so that you will make $\frac{52}{2}=26$ payments per year$).$ With this plan, how long will it take to pay off the mortgage if the EAR of the loan is unchanged? Note: Make sure to round all intermediate calculations to at least $8$ decimal places.