# My 400 day Streak problem!

Geometry Level 5

$K = (-10,13), U = (3,0),N = (-13,64),A = (9,8), L = (0,-1)$

Consider the given points above on $$x$$ and $$y$$ plane.

An ellipse pass through above points whose equation can be written as $ax^2 + by^2 +cxy + dx +ey +f =0$

Where $$a,b,c,d,e,f$$ are all integers and $$\text{GCD} (a,b,c,d,e,f) = 1$$

Find the value of $$|a| + |b|+|c|+|d|+|e|+|f|$$.

Inspired from this problem.

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