
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

All possible 6-digit numbers, in each of which the digits occur in non-increasing order from left to right (e.g., 966541), are written as a sequence in increasing order (the first three 6-digit numbers in this sequence are $100000, 110000, 111000$ and so on). If the $2010^{\text{th}}$ number in this sequence is denoted by $p$, find the value of $\left\lfloor\frac{p}{10}\right\rfloor$, where $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$.

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