Hermit
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Degree A - 9.
Degree B - 4.
Degree C - 5.
Degree D - 4.
Degree E - 5.
Degree F - 5.
Total - 4 vertices with odd degrees!
Added 7 minutes later
Now there's nothing to guess. Let someone else guess, for example, Uranium. He also solved it and even did it before me.
Всё не так плохо как Вы думаете. Всё намного хуже!