PRE RMO 2016

Algebra Level pending

\[\large \left \lfloor \frac x{100} \left \lfloor \frac x{100} \right \rfloor \right \rfloor = 5 \]

Find the number of integral solutions to the equation above.

Notation: \(\lfloor \cdot \rfloor\) denotes the floor function.

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