Question: given n = 3 a . Generate permutations using the Johnson - Trotter algorithm: use the Johnson - Trotter algorithm to generate all permutations. Show

given n=3
a. Generate permutations using the Johnson-Trotter algorithm: use the Johnson-Trotter algorithm to generate all permutations. Show the steps and the final list of permutations.
b. Discuss the efficiency of the permutation generation algorithm: Consider and discuss the efficiency of the Johnson-Trotter algorithm in terms of time complexity. How does the algorithm's complexity scale with n?

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