AMO · 2027 · Grades 6-7 · Self-study SET 28 Question 1

Given $\overline{XYZ}+\overline{ZYX}=\overline{ABAA}$, where $A,B,X,Y,Z$ are five different positive single-digit numbers, how many ordered pairs $(X,Z)$ satisfy the equation? Swapping $X$ and $Z$ counts as a different pair.



**Input:** Enter the integer only, without units.