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Sequence Equation

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  • ayushkumarroy
    4 months ago+ 0 comments

    The permutationEquation function you provided seems to implement the permutation equation method in Python. This method takes a list p as input and returns a list of values based on the permutation equation.

    Let's break down the code to understand how it works:

    def permutationEquation(p):
        result = []
        for i in range(len(p)):
            p1 = p.index(i+1) + 1
            result.append(p.index(p1) + 1)
           
        return result
    
    1. The function permutationEquation takes a list p as an argument.
    2. It initializes an empty list called result to store the computed values.
    3. It iterates over the range of indices of the input list p using the range function.
    4. Inside the loop, it calculates p1 by finding the index of i+1 in p and adding 1 to it. The index function returns the index of the first occurrence of the specified value in the list.
    5. Then, it finds the index of p1 in the list p using the index function again, and adds 1 to it.
    6. The computed value is then appended to the result list.
    7. After the loop completes, the function returns the result list.

    This function essentially calculates the permutation equation p(p(y)) = x for each value x in the input list p and returns the resulting list.

    Please note that the code assumes that the input list p is 1-based indexed (i.e., the values start from 1). If the input list is 0-based indexed, the code would need to be modified accordingly.

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