# 140 Followers Problem

Discrete Mathematics Level 5

$\Large\lfloor \sqrt{x} \rfloor + \lfloor \sqrt{y} \rfloor + \lfloor \sqrt{z} \rfloor = 140$

Find the number of non-negative integral solutions to the equation above.

Note: $$\lfloor k \rfloor$$ represents the greatest integer less than or equal to $$k$$.
You can use calculators to calculate the final sum.

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