# Square the Factorial

If $x^{2} - z! = y^{2}$

• $$x,y \in I$$

• $$z$$ is $$10's$$ place digit of $$x$$ and $$z \ne 0$$ i.e If $$x=23$$ then $$z=2$$

Then let $$S_{x}$$ be the sum of the smallest 4 Positive values of $$x$$ that satisfy the above equation

The sum of the corresponding positive values of $$y$$ be $$S_{y}$$.

Then find the value of $$S_{x} + S_{y}$$.

NOTE :- Corresponding value of $$y$$ is the value that you get by putting the value of $$x$$ in the equation.

• $$x$$ can't be a single digit number but it can contain two or more digits.
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