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Prüfer codes
Task number: 4237
Find the spanning trees of the complete graph on \( n \) vertices with the following Prüfer code:
Variant
22222222 (i.e. \(n = 10\)).
Variant
\(1234\cdots(n-3)(n-2)\).
Variant
12121212 (again \(n = 10\), or generalize).