Question: It is known that the algorithm that returns 2 which has been proven as follows. Function Two Powers(n: integer) -> integer Algorithm if n

It is known that the algorithm that returns 2" which has been

It is known that the algorithm that returns 2" which has been proven as follows. Function Two Powers(n: integer) -> integer Algorithm if n = 0 then return 1 else return Two Power (n-1) * 2 mseemmmm a) Write the equation for the recurrence relation to which states the number of times it takes to find the value 2n by using this algorithm. b) Solve the recurrence equation by applying the characteristic equation technique! c) Determine the order of growth in big-theta notation!

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