Write a program that prompts the user to enter a person's date of birth through the command line, gathering the year, month, and day sequentially in that specific order. The application must accurately convert and display $8-27-1980$ in a long format, such as "August $27,1980."$ To ensure robustness and reliability, your application must include at least two custom exception classes: invalidDay and invalidMonth, to handle erroneous day and month inputs respectively.

Requirements:

Sequential Input Collection:

Year: Initially, prompt the user to enter the birth year. Validate this input to ensure it's a non$-$negative integer. Should the user enter an invalid year $($e$.$g$.,$ a negative number$),$ the program should not proceed or crash but instead prompt the user again until a valid year is entered.

Month: Next, request the month of birth as a numeric value $(1$ through $12).$ If the input falls outside this range, throw and catch an invalidMonth exception. This exception handling should guide the user back to entering a correct month number.

Day: Finally, prompt for the day of birth. The validity of the day depends on the entered month and year $($considering leap years for February$).$ If an incorrect day is provided, throw and catch an invalidDay exception, and inform the user of the acceptable day range for the specified month and year.

Custom Exception Handling:

invalidDay Exception: This exception is triggered if the user inputs an invalid day based on the month and year $($e$.$g$.,$ "February $30").$ It should convey a clear error message to the user, indicating the valid day range.

invalidMonth Exception: Triggered by an out$-$of$-$range month input, this exception should prompt the user to input a valid month number $(1-12).$

Accurate Leap Year Calculation: Implement logic to determine whether the specified year is a leap year, impacting the valid date range for February.

Verbose Date Output: Upon validating all inputs $($year$,$ month, day$),$ the application should display the date of birth in a clear, verbose format $($e$.$g$.,$ converting $"8-27-1980"$ into "August $27,1980").$

Suggestions for Implementation:

Utilize try$-$catch blocks to manage input validation and to provide feedback for incorrect inputs, ensuring the program remains user$-$friendly and resilient against invalid data. Apply conditional logic $($e$.$g$.,$ switch or if$-$else statements$)$ to translate numeric month values into their corresponding month names. A year is a leap year if it is divisible by $4,$ except for years that are both divisible by $100$ and not divisible by $400.$ This calculation is critical for accurately determining the number of days in February.