Amazing Function The function F(n) is defined as:

F(0) = 20.5 + 30.5 + 60.5 (1) F(n) = (F(n−1)2 −5)/(2∗F(n−1)+4) (2) Given N, find F(N). Note that N can be very large! Input A number of test cases (≤ 1000), one per line, with the number of value of integer N (0 ≤ N ≤ 101500). Output For each test case, output F(N) on a single line, rounded to exactly 10 digits after the decimal. Sample Input 0 1 Sample Output 5.5957541127 1.7320508076