Create a new file called conflict.cpp$.$ In this file, write a program that asks the user for the start and end times of two classes. It then prints the times that it receives, and tells the user whether or not the two classes conflict.

$[$wendy@neverland lab$3]$$ $./$conflict

Class $1$ start time:

$8$:$30$

Class $1$ end time:

$9$:$45$

Class $2$ start time:

$13$:$00$

Class $2$ end time:

$14$:$00$

Class $1$ runs from $08$:$30$ to $09$:$45.$

Class $2$ runs from $13$:$00$ to $14$:$00.$

No conflict.

The user will enter all times as they would appear on a $24-$hour digital clock: $1$:$00$ PM would be entered as $13$:$00.$ If the classes overlap at all, your program should report a conflict by printing Conflict! Otherwise, print No conflict. Two classes must overlap for at least one minute in order to conflict: a class that ends at $15$:$00$ doesn't conflict with a class that starts at $15$:$00.$

The user will always input an integer followed by a non$-$digit character followed by another integer. The integers may or may not contain leading zeros: $09$:$7$ should be read the same as $9$:$07.$ The time entered may not be valid; a time is invalid if:

The hour is not between $0$ and $23($inclusive$).$

The minute is not between $0$ and $59($inclusive$).$

The separator is not a colon $($:$,$ ASCII code $0$x$3$a$).$

If the user enters an invalid time, your program should say so and prompt again. This could happen at any of the four time prompts.

$[$wendy@neverland lab$3]$$ $./$conflict

Class $1$ start time:

$87$:$00$

Invalid time; try again.

Class $1$ start time:

The user might also enter an end time that isn't later than the start time. In this case, your program should note the error and have the user re$-$enter both times. This could happen for either of the classes.

$[$wendy@neverland lab$3]$$ $./$conflict

Class $1$ start time:

$11$:$30$

Class $1$ end time:

$11$:$30$

Start time must be later than end time; try again.

Class $1$ start time:

Hints

You'll be reading a lot of times. Write a function to do this!

You'll also be printing a lot of times. Write a function to do this too.

Your program should always print times with two hour digits. Midnight should print as $00$:$00,1$:$00$ AM should print as $01$:$00,1$:$00$ PM as $13$:$00,$ etc. The std::setw and std::setfill helpers from the iomanip header will make this easier.

Life will be much better if can represent a time in a single variable. Pick a smart representation that lets you do this. Don't use global variables!

Classes may start or end at midnight, but they'll never cross it$.$

If the user enters an invalid time, they should only need to re$-$enter that one time. If the user enters an invalid class, they should only need to re$-$enter the start and end times for that one class.