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The Collaborative International Dictionary
Cudgeled

Cudgel \Cudg"el\, v. t. [imp. & p. p. Cudgeled or Cudgelled (-?ld); p. pr. & vb. n. Cudgeling or cudgelling.] To beat with a cudgel.

An he here, I would cudgel him like a dog.
--Shak.

To cudgel one's brains, to exercise one's wits.

Wiktionary
cudgeled

vb. (en-past of: cudgel)

Usage examples of "cudgeled".

So she cudgeled her brain, which was supposed to be smart, trying to figure it out.

There had been one in a poem—he cudgeled his memory for a moment, and to his surprise got it—"The Rime of the Ancient Mariner," wherein the protagonist had had an albatross tied to him, showing that he was in some way cursed.

Irene cudgeled her brain for some other notion that might appeal to the single-minded witch, but nothing offered.