Ok, here goes. -----------------------THE IDEA---------------

I am a performing mentalist outside of my regular job. For a long time now I've been making Magic Squares and doing the knights tour on stage. For years I've been playing with the idea of combining the two. I know that somewhere in 2005, the "magic knight's tour" has been proven impossible. The Semi-magic knights tour however is very possible. (all horizontal and vertical rows add up to -in this case- 260)

Here's what I'm trying to do. I have 2 boards on stage, Board n°1 has a 8 x 8 square with the numbers 1-64 in reading order (from top left corner to bottom right). I wanna call out 2 spectators on stage and have SpecA cross out the numbers as I call them out while performing the knights tour. SpecB writes down the numbers on a blank 8 x 8 square starting from the top left corner. When all numbers are crossed out and SpecB has filled in the blank square, I want the former blank square to be turned into a magic or semi-magic square. When I came up with the idea it seemed a very nice mental feat. but I've really been busting my head on this one, I have made at least over 50-60 squares and I just can't get it right. At first I thought it was just a matter of time before I found a sequence that would work but now I think it's impossible.

So what I need is someone to write a program that can compute all possible solutions for the 8x8 magic square with numbers 1-64, can compute all possible solutions for the knight's tour on a 8x8 board. and cross reference these results untill a sequence is found where if the knight's tour is completed, all numbers have been called out,these numbers in their turn have been written on a blank 8x8 board, this board is transormed into a magic square.

MAGIC SQUARES: https://en.wikipedia.org/wiki/Magic_square http://www.f1compiler.com/samples/Franklin's%208x8%20Magic%20Square.f1.html

KNIGHTS TOUR https://en.wikipedia.org/wiki/Knight%27s_tour https://www.cs.cmu.edu/~sganzfri/Knights_REU04.pdf