Java please.

Write a static method named problem3 that accepts an array of words. Lowercase each word and then rearrange the order of words based on their lengths and put them into a new array. The order doesn't matter for the words with the same length. Return the resulting array. (15 pts) Test case: array is {"SYNTAX", "is", "the", "Arrangement", "of", "words", "to", "FORM", "A", "language"}, return {"a", "is", "of", "to", "the", "form", "words", "syntax", "language", "arrangement"}.