I need to put on my thinking cap to solve this puzzle.
considering cap
idiomAn imaginary hat worn to aid careful thought or deliberation.
Before making a final decision about the new house, she put on her thinking cap to weigh all the pros and cons.
The architect sat in silence for an hour, putting on his thinking cap to devise a structural solution that would satisfy both the client and the city planners.
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bust a cap
To fire a weapon; to shoot with a gun.
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cap in hand
In a humble and respectful manner.
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cap it all off
To finish or complete something; to add a finishing touch.
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cap over the windmill
In a bizarre or eccentric manner.
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feather in one's cap
An accomplishment; particularly one that is flaunted or boasted of.
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set one's cap at
To choose a man as a potential husband (for a girl).
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thinking cap
A metaphorical state of focused thinking or concentration, invoked to encourage problem-solving.
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throw one's cap over the windmill
To act in a bizarre, eccentric or immoral manner.