
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 $x$, $\lfloor x \rfloor$ represents the largest integer not exceeding $x$, for example: $\lfloor 2 \rfloor = 2$, $\lfloor 3.2 \rfloor = 3$. Then $\lfloor \log_{2}1 \rfloor + \lfloor \log_{2}2 \rfloor + \lfloor \log_{2}3 \rfloor + \ldots + \lfloor \log_{2}64 \rfloor =$ ?

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