class Cube(object): def __init__(self, letters): self.letters = letters def has_letter(self, letter): return letter in self.letters def __str__(self): return self.letters def find(sorted_letters, cubes, lookup): if sorted_letters in lookup: return lookup[sorted_letters] result = [] if len(sorted_letters) == 1: if cubes[0].has_letter(sorted_letters[0]): result = cubes else: for idx, val in enumerate(cubes): if val.has_letter(sorted_letters[0]): sub_result = find(sorted_letters[1:], cubes[:idx] + cubes[idx + 1:], lookup) if sub_result: result = [val] + sub_result break lookup[sorted_letters] = result return result cubes = [] cubes.append(Cube('abcde')) cubes.append(Cube('s')) cubes.append(Cube('bcdef')) results = find('bfs', cubes, {}) for cube in results: print cube
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