# Domainomania-2

Algebra Level 4

$f(x)=\frac{1}{\lfloor |x-1| \rfloor + \lfloor |7-x|\rfloor-6}$ If the domain of above function is $$(q,s] \cup \{a,b,c,d,e \}\cup [g,h)$$, where $$q$$, $$s$$, $$a$$, $$b$$, $$c$$, $$d$$, $$e$$, $$g$$ and $$h$$ are all integers.

Find $$q+s+a+b+c+d+e+g+h$$.

Notations:

• $$| \cdot |$$ denotes the absolute value
• $$\lfloor \cdot \rfloor$$ denotes the floor function
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