突发奇想用英语怎么说？？

suddenly had a brainstorm

swift imagination

句子: 数月努力，徒劳无功，科学家突发奇想，问题迎刃而解。
After month of futile labor, the scientist suddenly have a brainstorm and solve the problem.

如果说,要一个单词的话:brainstorm 灵机一动的意思...

Suddenly had a crazy and strange idea

It suddenly occurred to me that....一个很好的句型，以后都能套用
意思是：突然想到~很有用哦

Arises suddenly the fantasy

at whim

Suddenly had a crazy idea

就可以了