What you want is a cartesian product of 2..9, and then a cartesian product of each of the letters allowed for each of the numbers. I've been out of the perl game for a while but I can comment on how I'd do it in python. The following will print 81 combinations of letters (3*3*3*3) for each possible four digit group of numbers.
# digit_letters is defined as in the original
def go():
import probstat # module for combinatorics
valid_numbers = range(2,10) # 2..9 inclusive
for (number_set) in probstat.Cartesian([valid_numbers]*4):
answers = []
letter_sets = probstat.Cartesian([digit_letters[number] for number
+ in number_set])
for (letter_set) in letter_sets:
answers.append(''.join(letter_set)) # combine the four letters
print number_set, ", ".join(answers)
I tried to break it down into shorter lines than I normally use, but all it is doing in pseudo code is
for (four_numbers) in Carteisian([2..9]*[2..9]*[2..9]*[2..9]):
print four_numbers
for (four_letters) in Cartesian(the letters for four_numbers):
print four_letters
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