1.
The fractional part of a real number xx is x[x]x - [x], where [x][x] is the greatest integer less than or equal to xx. Let F1F_1 and F2F_2 be the fractional parts of (442017)2017(44 - \sqrt{2017})^{2017} and (44+2017)2017(44 + \sqrt{2017})^{2017} respectively. Then F1+F2F_1 + F_2 lies between the numbers