Question $1$: Write a class Time from the following UML class diagram

$\backslash$table$[[$TimeMachine$],[-$hour: int$],[-$ minute : int$],[-$ second: int$],[+$ setTime$($int$,$ int, int$)],[+$ FutureTravel$($int$,$ int,$],[$int$)],[+$ printTime$()],[+$ PastTravel$($int$,$ int,$],[$int$)]]$

In addition to the UML Class diagram's requirements, add $02$ constructors, default and parametrized constructor. In the setTime method, add the validations for hour, minute and second.

FutureTravel$()$ method should add the parameters to the hour, minute and second. Make sure to add appropriate data validation to make future travel logical$.$

PastTravel$()$ method should subtract the parameters to the hour, minute and second. Make sure to add appropriate data validation to make past travel logical$.$printTime method should display time in $12$ hours format.

Time can be stored in hour from $00$ to $23$ but this method should only display time in $12$ hours format, for example, $15$:$25$:$30$ should be displayed as $03$:$25$:$30$ PM$.$

Write the main function, create a time instance and call all of the member functions to test the functionality of your class.