You take an offer for a $30-$year mortgage of $$200,000.$ The Bank of Montreal offers you the following deal: instead of making the monthly payment of $$1209\mathrm{.}12$ every month,

you can make half the payment every two weeks $($so that you will make $522=26$ payments a year$).$ How long will it take to pay off the mortgage if the EAR on the loan is

$6\mathrm{.}25\%?($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

The amount of time to pay off the loan is

weeks. $($Round to the nearest integer.$)$