<prompt> Acha F_n iwe nth nambari ya Fibonacci, ambapo kama kawaida F_1 F_2 1 na F_n 1 F_n F_n - 1. Kishaprod_k 2100 kushoto fracF_kF_k - 1 - fracF_kF_k 1 kulia frac F_aF_bkwa nambari kamili chanya a na b. Weka jozi uliyoagiza a,b.  <response>: Tuna hiyoanzaalignfracF_kF_k - 1 - fracF_kF_k 1 fracF_k F_k 1F_k - 1 F_k 1 - fracF_k - 1 F_kF_k F_k 1 fracF_k F_k 1 - F_k - 1 F_kF_k - 1 F_k 1 fracF_k F_k 1 - F_k - 1F_k - 1 F_k 1 fracF_k2F_k - 1 F_k 1.mwishoalignHivyo,anzaalignprod_k 2100 kushoto fracF_kF_k - 1 - fracF_kF_k 1 kulia prod_k 2100 fracF_k2F_k - 1 F_k 1 fracF_22F_1 cdot F_3 cdot fracF_32F_2 cdot F_4 cdot fracF_42F_3 cdot F_5 dotsm frac F_992F_98 cdot F_100 cdot fracF_1002F_99 cdot F_101 fracF_2 cdot F_100F_1 cdot F_101 fracF_100F_101.endalignKwa hiyo, a,b 100,101. 