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Counting the solutions of the 28-queens problem

Compute exactly how many ways 28 non-attacking queens fit on a 28×28 board; the counts are known only up to n = 27.

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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/prob054/",
12 "id": "prob054",
13 "curator": "CSPLib editors",
14 "poser": "Bilal Syed Hussain",
15 "status": "open",
16 "as_of": "2026-10-20",
17 "catalog": "0521c19bbd38"
18 },
19 "review": true,
20 "approval": "first-time"
21}