Given $\displaystyle x$ and $\displaystyle y$ are integeres such that $\displaystyle -4<x<9$ and 3 equals to or less than y and y is equal to or less than 8, find

a) the smallest possible value of $\displaystyle x^2 + y^2$,

b) the largest possible value of $\displaystyle x + y $ over $\displaystyle y$.

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