solving is magic function

How to write a function that will take a matrix m as an input and return true only if M is a magic square

Respuestas (2)

Azzi Abdelmalek
Azzi Abdelmalek el 17 de Oct. de 2013

0 votos

Create a magic matrix with magic function then use isequal to compare your two matrices

2 comentarios

Walter Roberson
Walter Roberson el 17 de Oct. de 2013
Editada: Walter Roberson el 17 de Oct. de 2013
Note: as magic() generates randomly, you will need to generate all of the magic squares of that size and compare each of them to the original matrix.
Azzi Abdelmalek
Azzi Abdelmalek el 18 de Oct. de 2013
Ok, I ignore it

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Walter Roberson
Walter Roberson el 17 de Oct. de 2013

0 votos

One test: calculate the mean of the numbers in the array. If it is not an integer, the array cannot be a magic square.
Another test: an array which is square and has all elements identical is a magic square.
A third test: magic squares are always two dimensional, not vectors and not three or more dimensions.

1 comentario

Azzi Abdelmalek
Azzi Abdelmalek el 18 de Oct. de 2013
Editada: Azzi Abdelmalek el 18 de Oct. de 2013
sum(A,1) ans sum(A,2) are equal and constant

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el 17 de Oct. de 2013

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