$n$ is the number of points of intersection of the graphs $$y = \left| x ^ { 2 } - a ^ { 2 } \right| \text { and } y = a ^ { 2 } | x - 1 |$$ where $a$ is a real number. What is the smallest value of $n$ that is not possible?
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$n$ is the number of points of intersection of the graphs
$$y = \left| x ^ { 2 } - a ^ { 2 } \right| \text { and } y = a ^ { 2 } | x - 1 |$$
where $a$ is a real number.
What is the smallest value of $n$ that is not possible?