Counting Langford pairings for 31 and 32 pairs
Compute the exact number of Langford pairings of order 31 and 32, estimated near 5×10^24 and 9×10^25; counts are known up to order 28.
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| 1 | +{ | |
| 2 | + "domain": "computer-science", | |
| 3 | + "topics": [ | |
| 4 | + "constraint-programming", | |
| 5 | + "algorithms-complexity" | |
| 6 | + ], | |
| 7 | + "type": "algorithm", | |
| 8 | + "source": { | |
| 9 | + "key": "csplib", | |
| 10 | + "name": "CSPLib", | |
| 11 | + "url": "https://www.csplib.org/Problems/prob024/", | |
| 12 | + "id": "prob024", | |
| 13 | + "curator": "CSPLib editors", | |
| 14 | + "poser": "Toby Walsh", | |
| 15 | + "status": "open", | |
| 16 | + "as_of": "2026-10-20", | |
| 17 | + "catalog": "0521c19bbd38" | |
| 18 | + } | |
| 19 | +} | |