15. (12 points) As shown in the figure, please fill in the numbers $0, 1, 2, \cdots, 14, 15$ into a table, such that the remainders when each row and each column's four numbers are divided by 4 are exactly $0, 1, 2, 3$ each, and the quotients when divided by 4 are also exactly $0, 1, 2, 3$ each. Some numbers are already filled in the table. Therefore, the product of the four numbers in the bottom row of the table is ( )
A. 784
B. 560
C. 1232
D. 528
【Solution】Solution: According to the problem, we have:
The Sudoku can be divided into a remainder Sudoku and a quotient Sudoku.
Quotient Sudoku
Note that if two cells have the same remainder, then the quotient must be different; if the quotient is the same, then the remainder must be different.
Using this condition, we can fill in both Sudokus and then merge them into the original table.
Therefore, $7 \times 8 \times 14=784$.
So the answer is: A.