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Given the following algorithm for determining the factorial of a given number n: factorial(n) if (n == 0) return 1 return n * (factorial -

Given the following algorithm for determining the factorial of a given number n:

factorial(n)

if (n == 0)

return 1 return n * (factorial - 1)

Find the initial condition and recurrence equation that expresses the execution time for this algorithm. Explain how you got your answer.

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