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Advanced · Recursion · 162 of 264

Permutations

Print every different ordering of the letters of a word, in alphabetical order, each once (the word may repeat letters). Write the recursion yourself.

Input: a word of at most 7 letters. Output: the orderings, one per line.

Examples

Input
abc
Output
abc
acb
bac
bca
cab
cba
Input
a
Output
a
Input
aab
Output
aab
aba
baa

One more test checks other inputs when you press Check.

Stuck? The idea behind recursion

A recursive function calls itself on a smaller version of the problem, until it reaches a case small enough to answer directly (the base case).

Trust the smaller call to be right, and only work out how to build this answer from it.

def factorial(n):
    if n == 0:
        return 1
    return n * factorial(n - 1)

print(factorial(5))

Watch for: Without a base case, or if the problem doesn't get smaller, it never stops: Python gives up with a RecursionError.

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