I read this simple and elegant python solution for finding all permutations of a given string. It is recursive. Based on that I tried to implement an iterative solution in python.
Below is my code. But it works only for 3 character strings :( Stuck trying to see how the recursion base case condition and recursion condition translates into iterative(non-recursive) Any pointers would help to get a iterative solution working.(Either based on this algorithm or any other)
def permutations_iter(word):
while True:
perms = []
result = []
char = word[0]
new_word = word[1:]
if len(new_word)==2:
perms = [new_word,''.join(reversed(new_word))]
for perm in perms:
#insert the character into every possible location
for i in range(len(perm)+1):
result.append(perm[:i] + char + perm[i:])
return result
if len(new_word)==2:
break;
#example code to call this iterative function
print permutations_iter("LSE")
We can find the count without finding all permutation. Idea is to find all the characters that is getting repeated, i.e., frequency of all the character. Then, we divide the factorial of the length of string by multiplication of factorial of frequency of characters.
For example, for <A,B,C>, the swap sequence 012 leaves all items in place, while 122 starts by swapping index 0 with index 1, then swaps 1 with 2, and then swaps 2 with 2 (i.e. leaves it in place). This results in the permutation BCA.
Permutation of the string means all the possible new strings that can be formed by interchanging the position of the characters of the string. For example, string ABC has permutations [ABC, ACB, BAC, BCA, CAB, CBA].
You can convert every recursion to an iteration using a stack. But in this case it's even simpler since the algorithm is very simple.
def perms(word):
stack = list(word)
results = [stack.pop()]
while len(stack) != 0:
c = stack.pop()
new_results = []
for w in results:
for i in range(len(w)+1):
new_results.append(w[:i] + c + w[i:])
results = new_results
return results
For a more general conversion of recursion to iteration with a stack read this
If you love us? You can donate to us via Paypal or buy me a coffee so we can maintain and grow! Thank you!
Donate Us With