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The sum of the -coordinates of these intersection points can be expressed in the form where and are positive integers, and has greatest common divisor equal to and is not divisible by the square of any prime The 27 cells of a $3\times9$ grid are filled in using the numbers 1 through 9 so that each row contains 9 different numbers, and each of the three $3\times3$ blocks heavily outlined in the example below contains 9 different numbers, as in the first three rows of a Sudoku puzzle.
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