Circle and ellipse together, god knows what to do

Calculus Level 4

Find the equation of ellipse $$\dfrac{x^{2}}{a^{2}} + \dfrac{y^{2}}{b^{2}} = 1$$ that has least area but contains the circle $$(x-1)^{2} + y^{2} = 1$$. If $$a^{2} + b^{2} = 2n$$. Find the value of $$n$$.

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