Except of addition to finding the sum of digits, Tiger also likes to represent numbers in the form of a square matrix with size \textbf{N}x\textbf{N}. In the matrix are recorded serial numbers starting with \textbf{1}. The filling of the matrix is going clockwise from both directions. The first direction begins from the upper-left corner of the matrix, and the second - from bottom right corner. \includegraphics{https://static.e-olymp.com/content/37/378ea924995a0230f959e045706b28469bca2951.jpg} During the filling of the matrix numbers, Tigre was curious to know what the number is at the intersection of \textbf{I}-th row and \textbf{J}-th column. \InputFile It is given three integers, separated by spaces: \textbf{N} (\textbf{1} ≤ \textbf{N} ≤ \textbf{10^9}) - the dimension of the matrix and \textbf{I}, \textbf{J} (\textbf{1} ≤ \textbf{I}, \textbf{J} ≤ \textbf{N}) - the line number and column. \OutputFile One number, which is located at the intersection of \textbf{I}-th row and \textbf{J}-th column.