Find out how many points of intersection of the circle are given by the center coordinates (\textbf{X}, \textbf{Y}) and radius \textbf{R}, and the segment specified by the coordinates of its ends (\textbf{X_1}, \textbf{Y_1}), (\textbf{X_2}, \textbf{Y_2}). \InputFile Seven integers \textbf{X}, \textbf{Y}, \textbf{R}, \textbf{X_1}, \textbf{Y_1}, \textbf{X_2}, \textbf{Y_2}, whose moduli do not exceed \textbf{1000}. \OutputFile The number of intersection points.