Write two different programs to compute x^n mod m (x, n and m are integers≥0).
Note that you are not allowed to use “pow” function from library
(a). powmod1(x, n,m)
It computes x^n mod m by repeated multiplications, i. e. using iteration.

(b). powmod2(x, n, m)
It computes x^n mod m by using the following inductive definition
x^0 mod m= 1
x^n mod m=〖〖(x⋅x mod m)〗^(n/2) 〗^ mod m if n is even
x^n mod m=〖(x⋅x〗^(n-1) mod m) mod m if n is odd
Discuss which the above program is more efficient using big-O notation. If you are not sure about which one is more efficient, test your code on computer, using the following data. Present the timing result to support your conclusion.
For x=29, m = 773, use n = 100,000,000, 500,000,000 and 1,000,000,000

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3. ranga ramasesh is the operations manager for a firm that is trying to decide which one of four countries it should research for possible outsourcing providers. the first step is to select a country based on cultural risk factors, which are critical to eventual business success with the provider. ranga has reviewed outsourcing provider directories and found that the four countries in the table that follows have an ample number of providers from which they can choose. to aid in the country selection step, he has enlisted the aid of a cultural expert, john wang, who has provided ratings of the various criteria in the table. the resulting ratings are on a 1 to 10 scale, where 1 is a low risk and 10 is a high risk. john has also determined six criteria weightins: trust, with a weight of 0.3; quality, with 0.2; religious, with 0.1; individualism, with 0.2; time, with 0.1; and uncertainity, with 0.1. using the factor-rating method, which country should ranga select? why? (2 points)