# Fit that Curve, Part 2

Geometry Level 5

Find the largest positive integer $$n$$ such that we can fit a conic through any $$n$$ points in $$\mathbb{R}^2$$.

Clarification: A conic is a curve in $$\mathbb{R}^2$$ given by an equation of the form $$c_1+c_2x+c_3y+c_4x^2+c_5xy+c_6y^2$$$$=0$$, where at least one of the coefficients $$c_k$$ is nonzero.

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