To rack one's brains; to exhaust one's mental efforts in deep consideration or planning; to deliberate painstakingly.
为了攻克这个技术难题，研发团队的成员们殚心竭虑，付出了无数个不眠之夜。
To overcome this technical challenge, members of the R&D team racked their brains and devoted countless sleepless nights.
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