simplistic introduction to algorithmic complexity considerfor examplethe code in figure def getbinaryrep(nnumdigits)"""assumes and numdigits are non-negative ints returns numdigits str that is binary representation of ""result 'while result str( % result // if len(resultnumdigitsraise valueerror('not enough digits'for in range(numdigits len(result))result ' result return result def genpowerset( )"""assumes is list returns list of lists that contains all possible combinations of the elements of if is [ it will return list with elements [][ ][ ]and [ , ""powerset [for in range( **len( ))binstr getbinaryrep(ilen( )subset [for in range(len( ))if binstr[ =' 'subset append( [ ]powerset append(subsetreturn powerset figure generating the power set the function genpowerset(lreturns list list of lists that contains all possible combinations of the elements of for exampleif is [' '' ']the powerset of will be list containing the lists [][' '][' ']and [' '' 'the algorithm is bit subtle consider list of elements we can represent any combination of elements by string of ' and 'swhere represents the presence of an element and its absence the combination containing no items would be represented by string of all 'sthe combination containing all of the items would be represented by string of all 'sthe combination containing only the first and last elements would be represented by etc therefore generating all sublists of list of length can be done as follows generate all -bit binary numbers these are the numbers from to for each of these + binary numbersbgenerate list by selecting those elements of that have an index corresponding to in for exampleif is [' '' 'and is generate the list [' 'try running genpowerset on list containing the first ten letters of the alphabet it will finish quite quickly and produce list with elements nexttry running genpowerset on the first twenty letters of the alphabet it will take more than bit of time to runand return list with about million elements if you try running genpowerset on all twenty-six lettersyou will probably get tired of