# 100 followers problem!

The diagonal of the square with side 100 cm can be expressed as $$a\times\sqrt b cm$$ and b is Square Free.

Then X=ab

Let Y be the number of trailing zeroes in 100!

Let the roots of the quadratic equation $${x}^{2} + 100 x + 819$$ be p and q

Then $${p}^{2} + {q}^{2} = Z$$

Let A be the number of trailing zeroes in (X+Y+Z)!

Find $$X+Y+Z+A$$

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