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Out of the 362880362880362880 ways of arranging the numbers
1,2,3,4,5,6,7,8,91,2,3,4,5,6,7,8,91,2,3,4,5,6,7,8,9
in a 3×33 \times 33×3 matrix, how many configurations are there such that all lines (rows, columns and diagonals) add up to the same sum?
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