Write a program using $$for$$ loop that: $($a$)$ Asks the user to enter a numerical vector. $($b$)$ Doubles the elements that are positive and even numbers $($c$)$ Raises to the power of $3$ the elements that are positive and odd numbers $($d$)$ Set the negative elements to zero. Try your code for the following vector: $[0,-1,3,6,8,-5,-2,0,4]$