My feelings towards Ui and Yui and their abilities is that Yui probably has some learning difficulties.
Abilities are genetic and so are learning difficulties and unfortunatly one kid can be problem free and the other one can have alot, dysabilities like dyslexia and dyspraxia can make learning pretty hard which tends to make it boring and something the individual dreds doing (which would explain why Yui would rather play guitar then study) but it doesnt reflect intelligence people with learning difficulties are often very intelligent and can do amazing things if they really put their mind to it but its very easy to get distracted and do something they enjoy.
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