<prompt> Tuseme kwamba x_11x_22x_33cdotsx_20082008x_1x_2x_3cdotsx_20082009. Tafuta thamani ya leftfloorSrightfloor, ambapo Ssum_n12008x_n.  <response>: Kumbuka kuwa kwa nambari fulani a, ambapo 1 le a le 2008,x_a a sum_n12008x_n 2009Ongeza milinganyo kwa a zote. kupatasum_n12008x_n frac2009 cdot 20082 2008sum_n12008x_n 2009Sisi inaweza kubadilisha Ssum_n12008x_n na kurahisisha ili kufanya mlingano uonekane rahisi kutatuliwa.S 2009 cdot 1004 2008S 2009 cdot 2008-2007S 2009 cdot 1004S frac2009 cdot 1004-2007Hivyo, leftfloorSrightfloor 1005. 