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What is the time complexity in Big Oh of python's built in modular exponentiation function using pow? Ex: pow(a, b, c) Assume that both k
What is the time complexity in Big Oh of python's built in modular exponentiation function using pow? Ex: pow(a, b, c)
Assume that both k and n are n bits for simplicity sake Assume that division is O(n^2) Assume that multiplication is O(n^2) Assume that mod is O(n)
Here is my code:
def run_fermat(n, k):
if n == 1 or n == 0: # O(1) return 'composite' for i in range(0, k): # Here we look at k in n bits a = random.randint(1, n - 1) # O(1) if pow(a, n-1, n) != 1: # Modular exponentiation - this is faster than using our mod_exp function return 'composite' # Number is not prime return 'prime' # Number is prime
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