Write a program to convert the user input based on the following specifications. The user input has the following format

[variable-length number] [a space] [A|B|H|M]

If the input is a number followed by the character "A," output the ASCII representation of (number - 1), (number), and (number +1).

Assume the number to be a 3-digit decimal number. 

If the above assumption is not correct, output "PASS." 

If the input is a number followed by the character "B," output the decimal equivalent.

Assume the number to be a 4-digit binary number. 

If the above assumption is not correct, output "PASS." 

If the input is a number followed by the character "H," output the binary equivalent.

Assume the number to be a 2-digit hexadecimal number. 

If the above assumption is not correct, output "PASS." 

If the input is a number followed by the character "M," output the multiplication of all digits as decimal numbers.

Assume the number to be an one to three (1 ~ 3) digit octal. 

If the above assumption is not correct, output "PASS." 

If none of the above conditions is met, output "Goodbye."

Make sure that you observe the following requirements:

1. You must have at least two (2) "fall through" switch statements in your submission. Use as many "fall through" constructs as possible to simplify your code.

2. Remove as many "magic numbers" as possible -- preferably none -- in your Java code. Your code will be examined closely and graded accordingly.