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to cross one's mind
01
to come into one's thoughts or mind momentarily
Example
During the meeting, a solution to the problem suddenly crossed his mind.
The idea of traveling the world has crossed my mind many times.
It didn't even cross his mind that he could win the competition until someone mentioned it.
As she walked through the park, a strange thought crossed her mind.
It never crossed my mind that I would meet my old friend at the event.