Light Yagami has to buy apples for Ryuk without attracting any unwanted attention towards himself. Interestingly, the number of apples he buys everyday is always a Fermat Number. A Fermat number is a number of the form $2^{2^{n}} + 1$. $G(N)$ = sum of digits of Nth Fermat Number modulo 9 Find the sum of $G(i)$ for all $i$ between $1$ and $999999999999$(both inclusive).