Of course, if you want to collect the yielded strings into a list you can do list(lexico_permute_string('data')) Find the largest index k greater than j such that a < a Reverse the sequence from a up to and including the final element a. Find the largest index k greater than j such that a < a.ģ. Find the largest index j such that a < a. To produce the next permutation in lexicographic order of sequence `a`ġ. This algorithm, due to Narayana Pandita, is from ''' Generate all permutations in lexicographic order of string `s` This ancient algorithm is still one of the fastest known ways to generate permutations in order, and it is quite robust, in that it properly handles permutations that contain repeated elements. The code below uses the algorithm of the 14th century Indian mathematician Narayana Pandita, which can be found in the Wikipedia article on Permutation. Also, using a collection to hold the results wastes RAM, negating the benefit of using an iterator in the first place.įortunately, there are more efficient approaches. Sure, it's possible to filter the output of itertools.permutations through a set to eliminate the duplicates, but it still wastes time generating those duplicates, and if there are several repeated elements in the base sequence there will be lots of duplicates. That's because internally it permutes the sequence indices and is oblivious to the sequence item values. Itertools.permutations is good, but it doesn't deal nicely with sequences that contain repeated elements. Thanks to for pointing out that this is not what we'd traditionally think of as a type cast, but more of a call to the set() constructor. If you find yourself troubled by duplicates, try fitting your data into a structure with no duplicates like a set: > perms = You'll have to join your permuted letters as strings though. Iterable is sorted, the permutation tuples will be produced in sorted Permutations are emitted in lexicographic sort order. Iterable and all possible full-length permutations are generated. If r is not specified or is None, then r defaults to the length of the Return successive r length permutations of elements in the iterable. The itertools module has a useful method called permutations().
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