Order by word lenghts X30120

Statement

Write a function @length_sorted(f)@ that provided a list of words $f$ returns a list $g$ with the very same words of $f$ . Words in $g$ must appear in increasing lengths. Words of the same length must appear in alpabetical order. All characters in words are lowercase letters.

Sample session

>>> length_sorted(['z', 'ping', 'king', 'doork', 'koong', 'doong', 'x'])
['x', 'z', 'king', 'ping', 'doong', 'doork', 'koong']
>>> length_sorted(['winter', 'winner', 'counter', 'mother', 'table'])
['table', 'mother', 'winner', 'winter', 'counter']
>>> length_sorted(['self', 'made', 'man'])
['man', 'made', 'self']
>>> length_sorted(['z', 'y', 'x', ''])
['', 'x', 'y', 'z']

Information

Author
Language: English
Official solutions: Python
User solutions: Python