Given ~A, B,~ and ~C~, and ~f(x) = Ax+B \sin(x)~, find when ~f(x)=C~.

Input Specification

The first line will contain three integers, ~A, B, C~ ~(1 \le B \le A \le 10^5, 1 \le C \le 10^5)~.

Output Specification

Output a value of ~x~ where ~f(x)=C~. Your value of ~x~ will be considered correct if ~|f(x)-C| \le 10^{-5}~.

Sample Input

1 1 20

Sample Output

19.4417867