Again it is dancing!

Algebra Level 4

Find the number of positive integers \(x\) which satisfy the condition \[\large\left \lfloor\dfrac{x}{99}\right \rfloor=\left\lfloor\dfrac{x}{101}\right \rfloor . \]

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

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