The Game of Logic

The only two compartments, available for Things which are xm', are No. 9 and No. 10. Of these, No. 9 is already marked as 'empty'; so our red counter must go into No. 10.

Similarly, the only two, available for ym, are No. 11 and No. 13. Of these, No. 11 is already marked as 'empty'; so our red counter MUST go into No. 13.

The final result is

                -----------
               |0    |    1|
               |   --|--   |
               |  |0 | 0|  |
               |--|--|--|--|
               |  |1 |  |  |
               |   --|--   |
               |0    |     |
                -----------

And now how much of this information can

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