A magic square can be simply explained as an nxn square grid (where n is the number of cells on each side) filled with discrete positive integers in the range such that each cell contains a different integer and the sum of the integers in each row, column and diagonal is equal. The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Even though completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. 

 

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