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Write a java program (name it Vowels) as follows: The main method prompts the user to enter a string. The main method then passes the input string to method count Vowels (...) to recursively count and then return number of vowels (a, e, i, o, u) in the passed string. Again, method countVowels (...) is a recursive method. Format the outputs as follows (shown input values are just for illustration, user may enter values one per line): Entered string: Number of vowels: Entered string: Number of vowels: This is a test input 6 Hello world 3 My list of Objects Entered string: Number of vowels: 4 Document your code, use proper prompts for input, format outputs as shown above, use sound coding practices we learned thus far, do not hard code inputs, allow program re-runs, and test your code thoroughly.