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 T(x) do not exceed 1999?
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 T(x) do not exceed 1999?