First, we note some address length 2 subsquares appear empty. What are these addresses, and what are the bin-to-bin combinations that cannot occur?
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| Empty addresses | Forbidden transitions | Forbidden sequences |
| 12 | 2 -> 1 | 1 cannot follow 2 |
| 13 | 3 -> 1 | 1 cannot follow 3 |
| 22 | 2 -> 2 | 2 cannot follow 2 |
| 23 | 3 -> 2 | 2 cannot follow 3 |
| 32 | 2 -> 3 | 3 cannot follow 2 |
| 33 | 3 -> 3 | 3 cannot follow 3 |
| 41 | 1 -> 4 | 4 cannot follow 1 |
| 44 | 4 -> 4 | 4 cannot follow 4 |
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