Write code that divides a positive number n in half until the resulting number is less than $1.$ For this exercise, use a method that doesn't require you to convert the integer n to a different data type. For example, if n $=5,$ the first time through the loop should result in $2\mathrm{.}5,$ the second time through should result in $1\mathrm{.}25,$ and the third time through should result in $0\mathrm{.}625.$ The loop should not be executed a forth time since $0\mathrm{.}625<1.$

$($a$)$ If n $=50000,$ how many times through the loop will the code run?