Description

An $n \times n$ spiral matrix can be generated as follows:
Start from the top-left corner (row $1$, column $1$) and initially move to the right. If the next cell is unvisited, continue moving forward; otherwise, turn right. Repeat this process until all cells in the matrix have been visited. Fill the cells in the order they are visited with $1, 2, 3, \ldots, n^2$ to form a spiral matrix.
The following is a spiral matrix for $n=4$:

 1  2  3  4
12 13 14  5
11 16 15  6
10  9  8  7

Input Format

A single line containing three integers $n$, $i$, $j$, separated by spaces, representing the matrix size and the row and column of the number to be found. $1\leq n\leq 30,000$, $1\leq i\leq n$, $1\leq j\leq n$.

Output Format

Output a single integer, representing the number in the $i$-th row and $j$-th column of the matrix.

Sample

4 2 3

14