Spiral#85

Spiral

1 second

128 megabytes

Very easy

Numbers from $1$ to $n^{2}$ n^2 are written in an $n \times n$ n \times n square matrix in a spiral, starting from the top-left cell and proceeding clockwise, as shown in the figure.

Find the number located in the $i$ -th row and $j$ -th column.

Input

The input contains three natural numbers: $n$ , $i$ , $j$ ( $1 \leq i, j \leq n \leq 100$ 1 \leq i, j \leq n \leq 100).

Output

Print the number at coordinates $i$ , $j$ .

Examples

Example 1

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n^{2}

n \times n

1 \leq i, j \leq n \leq 100