Amagicsquareisasquarearrayofnumbersconsistingofthedistinctpositiveintegers1,2,...,arrangedsuchthatthesumofthenumbersinanyhorizontal,vertical,ormaindiagonallineisalwaysthesamenumber(Kraitchik1952,p.142;Andrews1960,p.1;Gardner1961,p.130;Madachy1979,p.84;BensonandJacobi1981,p