# There are so many

Number Theory Level 4

$\Large \frac{20102011}{2012} = a + \frac{1}{b + \frac{1}{c + \frac{1}{d + \frac{1}{e + \frac{1}{f + \frac 1g} } }}}$

If $$a,b,c,d,e,f,g$$ are positive integers that fulfill the equation above, find the value of $$a-b+c-d+e-f+g$$.

×