Ax+Bsin(x)=C II

You are given integers $A$, $B$, and $C$. Write a program that finds the solution $x$ of the equation $Ax + B\sin(x) = C$.

The constraints give $0 < B \le A$, so the left side grows as $x$ grows. The equation therefore has exactly one solution, and that solution is positive because $C > 0$.

The first line contains the integers $A$, $B$, and $C$, separated by spaces. ($0 < B \le A \le 100{,}000$, $0 < C \le 100{,}000$)

Print $x$ on the first line, rounded at the tenth digit after the decimal point so that exactly nine digits follow the decimal point. Keep a trailing zero instead of dropping it, so nine digits always appear after the decimal point.