Please complete the following two recursive functions. The test code and required output for each function is also given. (Must be done in python)

Function 1:

Function 2:

Write a recursive definition for the following function which takes a word as a parameter def no duplicates (word): This function returns true if all letters in the word are unique. This function returns false if there are any repeated letters in the word. You may not use loops for this task. e.g. no duplicates(gingerbread) returns false no duplicates("uncopyrightable") returns true