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Rules of the game

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# Rules of the game

Algebra Sudoku is just like the ordinary number game sudoku, except that the numbers are replaced by algebraic expressions. Your task is to complete a diagram with nine different expressions. You should place the expressions such that in every row, in every column, and in every outlined 3x3 group, each expression appears exactly once.

In fact, the information in the diagram is enough to complete the sudoku, but it is easier and more fun if you follow the hints that are given along with the diagram. If you follow the hints in the sequence in which they are given it is always unambigous where you should place the next expression.

For example, have a look at Algebra Sudoku 5:

If 0=4c-44 then ...
B, top right, middle left, E, G

Use your mathematical skills to translate the first part of the hint, "If 0=4c-44 then ...", into "c=11". Next, look at the second part of the hint, "B, top right, middle left, E, G".

This means that you should be able to place "c=11" in the column labeled B, the top right and middle left 3x3 groups, and the columns labeled E and G, in this sequence.

Indeed, the column labeled B has 4 empty spaces, but since "c=11" already appears at row 4 (namely, at D4), position B4 is excluded. Similar, B8 and B9 are excluded because "c=11" already appears in the bottom left 3x3 group (at C7). The only possibility left for "c=11" in the column labeld B is at position B1.

Similar for the top right 3x3 group. In the original diagram, "c=11" could be placed at either G1, H1 or H2, but since in the previous step you placed "c=11" at B1, positions G1 and H1 are excluded.

After Hint 1 you should follow (surprise!) Hint 2, and so on, and finally complete the diagram by following the last hint.

Have fun!

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 Sudoku andalgebra exercisesin one. Runs on any Mac withOS X 10.6 or later. About 23 hoursexercise and fun(630 equations).