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How do I solve soduku?

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In sudoku, you have a board with 9 boxes, each with 9 spaces aranged in a square pattern. In every row, column, and box on the board will have only 1 occurance of the numbers 1-9. You must logicly assign the missing numbers using the given numbers as an axiom.

Here is an example using 4x4 board instad of a 9x9.

========Edit

|| 4 | 1 || a | b ||


|| 3 | 2 || c | d ||

========Edit

|| e | f || 3 | 2 ||


|| g | h || 4 | 1 ||

========Edit

a = 2 (2 is the only number both the row and column are missing) b = 3 (if a = 2, it is the only number left in the row) c = 1 (if a = 2, it is the only number left in the column) d = 4 (with the rest of the box, row and column filled in, it can be nothing else)

e = 1 (only number both row and column are missing) f = 4 (if e = 1, it is the only number left in the row) g = 2 (if e = 1, it is the only number left in the column) h = 3 (it is the only number left in the row, column and box.)

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