Chapter 19, Problem 5RQ

Write a function called Balloon that will accept a single variable named S. The function should replace S with the square of s and repeat this process until S is either greater than 10¹⁵ or less than 10^–15. The function should return a value Q containing the number of times S was squared during this process. If S equals 1, the function should display a warning message and return the value Inf in Q.

Examples

If S = 100, Q = 3 (S equals 10¹⁶ after the third square).

If S = 0.1, Q = 4 (S equals 10^–16 after the fourth square).

If S = 3, Q = 5 (S equals 1.853 × 10¹⁵ after the fifth square).