Gif 2

Algebra Level 5

\[ \large \lfloor x \rfloor + \lfloor 2x \rfloor + \left\lfloor \frac23 x\right\rfloor + \lfloor 3x \rfloor + \lfloor4 x \rfloor + \lfloor 5x \rfloor \]

If \(0 \le x<3\), find the total number of distinct values of the expression above.

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