Python:

Lo Shu Magic Square

The Lo Shu Magic Square is a grid with 3 rows and 3 columns, shown in figures below. The Lo Shu Magic Square has the following properties:

The grid contains the numbers 1 through 9 exactly.

The sum of each row, each column, and each diagonal all add up to the same number. This is shown in Figure B.

In a program you can stimulate a magic square using a two-dimensional list. Write a function that accepts a two-dimensional list as an argument and determines whether the list is a Lo Shu Magic Square. Test the function in a program.

Figure A   

4	9	2
3	5	7
8	1	6

 

Figure B     

4	9	2
3	5	7
8	1	6