
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 any real number $x$, the symbol $\lfloor x \rfloor$ represents the integer part of $x$, which is the greatest integer not exceeding $x$. This function, $\lfloor x \rfloor$, is called the "floor function". Calculate the sum $\lfloor \log_3 1 \rfloor + \lfloor \log_3 2 \rfloor + \lfloor \log_3 3 \rfloor + \lfloor \log_3 4 \rfloor + \ldots + \lfloor \log_3 243 \rfloor$.

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