The integer lattice points are the points in the plane that have integer coordinates.
Consider all squares in the plane with corners that are integer lattice points. For example, the points (0, 0), (1, 1), (2, 0), and (1, -1) form a square.
a) Is it possible for such a square to have area 51?
b) Find all possible areas of such squares that have less than area 51.
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