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Consider any simple graph G with 12 vertices. Can G and its complement G¯¯¯¯ both have a Eulerian trail? Why or why not?

I am really struggling with this discrete math question, any help would be very appreciated.

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Consider any simple graph G with 12 vertices. Can G and its complement G¯¯¯¯ both have a Eulerian trail? Why or why not?
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