# Hit for the cycle

Geometry Level 4

Suppose $$ABCD$$ is a cyclic quadrilateral with side $$AD$$ being a diameter of length $$d$$, sides $$AB$$ and $$BC$$ both having length $$a$$ and side $$CD$$ having length $$b$$ such that $$a,b,d$$ are all positive integers with $$a \ne b.$$

Determine the minimum possible perimeter of $$ABCD.$$

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