Implement the function magic$\_$math$()$ using the functions map$(),$ filter$(),$ and reduce$().$

magic$\_$hash$()$ receives a list of integers, and returns an integer of the following algorithm:

$1)$ Map each value. If the value n is odd, replace it with $3$n$+1$

$2)$ Map each value. If the value n is even, replace it with n$/2$

$3)$ Filter each value, keeping only values not divisible by $3.$

$4)$ Reduce the list:

a$)$ Start with zero

$($Hint: You have to add an element $0$ as the first element of the filtered list$)$

b$)$ Add the number if it is odd

c$)$ Add half the number if it is even.