For any positive integer $x_{}$, let $S(x)$ be the sum of the digits of $x_{}$, and let $T(x)$ be $|S(x+2)-S(x)|.$  For example, $T(199)=|S(201)-S(199)|=|3-19|=16.$  How many values of $T(x)$ do not exceed 1999?


Let's think step by step and output the final answer within \boxed{}.
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