If you have a dilemma or knotty problem you can’t find an answer to, trust your subconscious to do the work. Consider the problem then turn your attention to other things while the problem simmers away at the back of your mind. After some time, the answer will come to you.
The intellect has little to do on the road to discovery. There comes a leap in consciousness, call it intuition or what you will, and the solution comes to you, and you don’t know how or why.