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Member of the matrix class.

Syntax

c = magic(a)

Description

Generates a magic square. A magic square has equal row, column, and diagonal sums. If you can express the width of the square as an odd number or as a multiple of 4, the magic square is a diabolic, or pandiagonal, square whose subdiagonal sums also equal the diagonal sums.

Examples

Inputs

Name	Description
a	Specifies the size of the magic square. a is an integer greater than 2.

Outputs

Name	Description
c	Returns an a-by-a magic square. The elements in c are integers from 1 to a^2. c is a matrix.

Examples

A = magic(10)