
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
For an arbitrary number \( x \), consider the sum \( Q(x) = \left\lfloor x \right\rfloor + \left\lfloor | \frac{x}{2} | \right\rfloor + \left\lfloor | \frac{x}{3} | \right\rfloor + \left\lfloor | \frac{x}{4} | \right\rfloor + \cdots + \left\lfloor | \frac{x}{10000} | \right\rfloor \). Find the difference \( Q(2023) - Q(2022) \). (Here, \( \left\lfloor x \right\rfloor \) denotes the greatest integer less than or equal to \( x \)).

Present the answer in LaTex format: \boxed{Your answer}
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