A library charges overdue fees for a borrowed book using the following fee schedule:

less than $4$ days late: $1$ dollar per day

$4$ to $6$ days late: $2$ dollars per day $($for all days, including the first $3$ days$)$

more than $6$ days late: $3$ dollars per day $($for all days, including the first $6$ days$)$

Borrowers of books are in one of these age groups: CHILD, ADULT, or SENIOR. A CHILD gets charged only half of the fees and a SENIOR gets charged only one quarter of the fees. An ADULT pays the full fee.

Complete the following function according to the description above and the docstring below.

CHILD $=$ 'child'

ADULT $=$ 'adult'

SENIOR $=$ 'senior'

def overdue$\_$fees$($days$\_$late: int, age$\_$group: str$)->$ float:

$"""$Return the fees for a book that is days$\_$late days late for a borrower

in the age group age$\_$group.

Preconditions:

$-$ days$\_$late $>=0$

$-$ age$\_$group is one of CHILD, ADULT or SENIOR

$>>>$ overdue$\_$fees$(2,$ SENIOR$)$ # $2$ days late, SENIOR borrower

$0\mathrm{.}5$

$>>>$ overdue$\_$fees$(5,$ ADULT$)$ # $5$ days late, ADULT borrower

$10\mathrm{.}0$

$"""$