Help me with this pls (python) Modify and return the given dictionary as follows: if the keys "a" and "b" have values that have different lengths, then set "c" to have the longer value. If the values exist and have the same length, change them both to the empty string in the dictionary.

INPUTS /OUTPUTS: ({"a": "aaa", "b": "bb", "c": "cake"}) {"a": "aaa", "b": "bb", "c": "aaa"}

({"a": "aa", "b": "bbb", "c": "cake"}) {"a": "aa", "b": "bbb", "c": "bbb"}

({"a": "aa", "b": "bbb"}) {"a": "aa", "b": "bbb", "c": "bbb"}

def problem_nine(dictionary):

#note i need return

return dictionary