
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 greatest integer less than or equal to $x$, for example, $\lfloor 2 \rfloor = 2$, $\lfloor 2.1 \rfloor = 2$, $\lfloor -2.1 \rfloor = -3$. Then calculate the value of $\lfloor \log_2 1 \rfloor + \lfloor \log_2 2 \rfloor + \lfloor \log_2 3 \rfloor + \lfloor \log_2 4 \rfloor + \ldots + \lfloor \log_2 32 \rfloor$.

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