In a 4-by-4 Sudoku puzzle with one 2 -by-2 subsquare filled in as shown in Figure P1.5,

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In a 4-by-4 Sudoku puzzle with one 2 -by-2 subsquare filled in as shown in Figure P1.5, how many ways are there to complete the puzzle? (In Sudoku, the digits 1, 2, 3, 4 must appear only once in each row and once in each column of the 4-by-4 square and only once in each subsquare.)

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