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An efficient combinatorics library for JavaScript to generate and get the list of all Permutations and Combinations with the ability to enable or disable repetition. (utilizing ES2015 generators)
Uses backtracking (DFS-style traversal) to explore all character arrangements from the input string. Tracks each recursion depth (tree level) and stores the generated paths. After recursion, it removes duplicates at each level and returns the count of all unique character paths (not just full permutations).