Problems
Arithmetic progressions
Arithmetic progressions
Let $a_n, b_n, c_n$ be arithmetic progressions. It is known that
\begin{itemize}
\item $a_1 + b_1 + c_1 = p$,
\item $a_2 + b_2 + c_2 = q$
\end{itemize}
For the given positive integer $k$ find the value of $a_k + b_k + c_k$.
\InputFile
Three integers $p, q~(|p|, |q| \le 10^{18}), k~(k > 0)$.
\OutputFile
Print the value of $a_k + b_k + c_k$. It is known that output is no more than $10^{18}$ by absolute value.
Input example #1
2 5 10
Output example #1
29