Given a positive integer \textbf{K}. Find the smallest multiple of \textbf{K}, all digits are equal (using, of course, the decimal system). \InputFile Set the number of \textbf{K} (\textbf{2} <= \textbf{K} <= \textbf{1000}). \OutputFile Display the number and the number of digits in the number. If the solution does not exist, display \textbf{0} \textbf{0}.