$($Modifying the Internal Data Representation of a Class$)$ Section $10\mathrm{.}4\mathrm{.}2\text{'}$s Time class represents the time as three integer values. Modify the class to store the time as the total number of seconds since midnight. Replace the $\_$hour, $\_$minute and $\_$second attributes with one $\_$total$\_$seconds attribute. Modify the bodies of the hour, minute and second properties' methods to get and set$\_$total$\_$seconds. Re$-$execute Section $10\mathrm{.}4\text{'}$s IPython session using the modified Time class to show that the updated class Time is interchangeable with the original one. This problem has been asked before but none of the solutions that were given do what the assignment is asking: represent the hour, minute, and second in seconds. Also, be able to call the methods to alter each property or call set$\_$time to reset the time altogether. I have re$-$written the script to get closer to the results being asked for but my methods are not working. Please help! Here is the code I have: class Time:

$"""$Class Time with read$-$write properties."""

def $\_\_$init$\_\_($self$,$ total$\_$seconds$=0)$:

$"""$Initialize total$\_$seconds attribute."""

self.$\_$total$\_$seconds $=$ total$\_$seconds

@property

def hour$($self$)$:

$"""$Return the hour in seconds."""

return self.$\_$total$\_$seconds $//3600*3600$

@hour.setter

def hour$($self$,$ hour$)$:

$"""$Set the hour in seconds.

if not $(0<=$ hour $<24)$:

raise ValueError$($f$\text{'}$Hour $(\{$hour$\})$ must be $0-23\text{'})"""$

self.$\_$hour $=$ self.$\_$total$\_$seconds $//3600*3600$

self.$\_$hour $-$ hour

@property

def minute$($self$)$:

$"""$Return the minute in seconds."""

return self.$\_$total$\_$seconds $\%3600//60*60$

@minute.setter

def minute$($self$,$ minute$)$:

$"""$Set the minute in seconds.

if not $(0<=$ minute $<60)$:

raise ValueError$($f$\text{'}$Minute $(\{$minute$\})$ must be $0-59\text{'})"""$

self.$\_$minute $=$ self.$\_$total$\_$seconds $\%3600//60*60$

self.minute $=$ minute

@property

def second$($self$)$:

$"""$Return the second."""

return self.$\_$total$\_$seconds $\%60$

@second.setter

def second$($self$,$ second$)$:

$"""$Set the second.

if not $(0<=$ second $<60)$:

raise ValueError$($f$\text{'}$Second $(\{$second$\})$ must be $0-59\text{'})"""$

self.second $-=$ self.$\_$total$\_$seconds $\%60$

self.second $+=$ second

def set$\_$time$($self$,$ total$\_$seconds$=0)$:

$"""$Set value of total seconds."""

self.total$\_$seconds $=$ total$\_$seconds

def $\_\_$repr$\_\_($self$)$:

$"""$Return Time string for repr$()."""$

return f'Time$($hour$=\{$self$.$hour$\}$ seconds, minute$=\{$self$.$minute$\}$ seconds, second$=\{$self$.$second$\}$ seconds$)\text{'}$

def $\_\_$str$\_\_($self$)$:

$"""$Return Time string in seconds since midnight."""

s$\_$midnight $=$ self.hour $+$ self.minute $+$ self.second

return f'Seconds since midnight: $\{$s$\_$midnight$\}\text{'}$