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Magic square An example of how to represent a problem

Magic square An example of how to represent a problem. An idea from Chris Beck. put a number in each square each number is different a number is in the range 1 to 16 the sum of a column is the same as a sum of a row the same as the sum of a main diagonal. 1st stab.

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Magic square An example of how to represent a problem

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  1. Magic square An example of how to represent a problem An idea from Chris Beck

  2. put a number in each square • each number is different • a number is in the range 1 to 16 • the sum of a column is • the same as a sum of a row • the same as the sum of a main diagonal

  3. 1st stab • put a number in each square • each number is different • a number is in the range 1 to 16 • the sum of a column is • the same as a sum of a row • the same as the sum of a main diagonal Use sumVars(x) = sumVars(y) where x and y are - different rows - different columns - different diagonals Every element of the array is different - represent as a clique of not equals How does it go? For propagation and search?

  4. 2nd stab • put a number in each square • each number is different • a number is in the range 1 to 16 • the sum of a column is • the same as a sum of a row • the same as the sum of a main diagonal Use allDiff (must have Iceberg for claire!) But what is k? How does model perform?

  5. Magic square on the web http://mathworld.wolfram.com/MagicSquare.html http://mathforum.org/alejandre/magic.square.html

  6. Thanks to Chris Beck

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