Bulletin Board

It has been decided that a programming contest sponsored by company A will be held, so we will post the notice on a bulletin board.

The bulletin board is in the form of a grid with N rows and N columns, and the notice will occupy a rectangular region with H rows and W columns.

How many ways are there to choose where to put the notice so that it completely covers exactly HW squares?

Constraints

• 1 \leq H, W \leq N \leq 100
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

N H W

Output

Print the answer.

Examples

Input

3 2 3

Output

2

Input

100 1 1

Output

10000

Input

5 4 2

Output

8

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

N H W

outputFormat

Output

Print the answer.

Examples

Input

3 2 3

Output

2

Input

100 1 1

Output

10000

Input

5 4 2

Output

8

样例

5
4
2

8