Write a Java program that accepts three numbers as input values and prints the corresponding messages based on the equality cases.

The program should print the messages below:

• "All numbers are equal" message if all input numbers are equal,
• "All numbers are different" if all input numbers are different,
• "Neither all are equal or different" otherwise.

Input Format

Three real numbers in order of number1 number2 number3

e.g. 4 5 4

Constraints

-100 number1 100 -100 number2 100 -100 number3 100

Output Format

• "All numbers are equal" message if all input numbers are equal,
• "All numbers are different" if all input numbers are different,
• "Neither all are equal or different" otherwise.

Sample Input 0

5 8 1 

Sample Output 0

All numbers are different