Set $$A$$ consists of $$m$$ consecutive integers whose sum is $$2m,$$and set $$B$$ consists of $$2m$$ consecutive integers whose sum is $$m.$$ The absolute value of the difference between the greatest element of $$A$$ and the greatest element of $$B$$ is 99. Find $$m.$$

(第二十二届AIME1 2004 第2题)