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The amortized complexity of std::next_permutation?

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What is the time complexity of Next_permutation?

Time Complexity: In the worst case, the first step of next_permutation takes O(n) time. The binary search takes O(log n) time. The reverse takes O(n) time.

What does Next_permutation function do in C++?

C++ Algorithm next_permutation() function is used to reorder the elements in the range [first, last) into the next lexicographically greater permutation. A permutation is specified as each of several possible ways in which a set or number of things can be ordered or arranged.

How the different permutations are added in C Plus Plus?

How the different permutations are ordered in c++? Explanation: In c++ permutations can be ordered by comparing lexicographically to each other elements.


I just read this other question about the complexity of next_permutation and while I'm satisfied with the response (O(n)), it seems like the algorithm might have a nice amortized analysis that shows a lower complexity. Does anyone know of such an analysis?