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Exercise
The Babylonian algorithm to compute the square root of a positive number n is as follows:
1. Make a guess at the answer (you can pick n/2 as your initial guess).
2. Compute r = n/ guess.
3. Set guess = (guess + r) / 2.
4. Go back to step 2 until the last two guess values are within 1% of each other.
Write a program that inputs a double for n, iterates through the Babylonian algorithm until the guess is within 1% of the previous guess, and outputs the answer as a double to two decimal places. Your answer should be accurate even for large values of n.
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