= Steinhaus–Johnson–Trotter algorithm
{wiki=Steinhaus–Johnson–Trotter_algorithm}
The Steinhaus–Johnson–Trotter algorithm is a combinatorial algorithm used to generate all permutations of a finite set in a specific order. This algorithm produces permutations in a way that each permutation differs from the previous one by the interchange of two adjacent elements, following a particular pattern. \#\#\# Key Features of the Algorithm: 1. **Directionality**: Each element in the permutation has an associated direction (typically right or left). Initially, all elements can be thought of pointing to the left.
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