264   This 2x3 grid has an interesting
200   property: 264x200 = 22x60x40.

Build a similar grid using all digits from 2 to 7.

I like awk, and used this to find the solution:

BEGIN {


  for (A=2; A<=7; A++) {


    for (B=2; B<=7; B++) if (A!=B) {


      for (C=2; C<=7; C++) if ((A!=C) && (B!=C))  {


        for (D=2; D<=7; D++) if ((A!=D) && (B!=D) && (C!=D)) {


          for (E=2; E<=7; E++) if ((A!=E) && (B!=E) && (C!=E) && (D!=E)) {


            F = (2+3+4+5+6+7)-(A+B+C+D+E);


            ABC = (A B C) + 0;


            DEF = (D E F) + 0;


            AD = (A D) + 0;


            BE = (B E) + 0;


            CF = (C F) + 0;


            if (ABC*DEF == AD*BE*CF) \


              print ABC,DEF,AD,BE,CF,ABC*DEF;


          }


        }


      }


    }


  }


}



		

			

			

 			
			

				Posted by Federico Kereki
				on 2005-03-23 15:36:21