
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
If the positive integer $t$ satisfies $10^{t-1} < 2^{64} < 10^t$, then $t=$ _____

(Given that $\lg 2 \approx 0.3010$).

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