# 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.