Marinada '17

Odredi ostatak pri dijeljenju s $90$ broja $$\lfloor \frac {2017^{2017^{2017}}+1} {2} \rfloor + \lfloor \frac {2017^{2017^{2017}}+2} {4} \rfloor + \lfloor \frac {2017^{2017^{2017}}+4} {8} \rfloor+\ldots$$