You know that sqrt$($a$)$ yields the square root of a number a$,$ but how is the root actually computed? An efficient method has been known for at least $2,000$ years. Start with a guess. Any positive number will do$,$ such as a itself. Compute the next guess as

If two consecutive guesses are close enough to each other, then you can stop. If not, compute an even better guess.

Complete the following code to implement this algorithm. Print all guesses.