
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
A sequence of $10$ numbers starts with two given numbers. Each subsequent number in the list is the product of the two preceding numbers. Given the last three numbers in the sequence as $36$, $1296$, and $46656$, find the first number.
A) $1$
B) $36$
C) $46656$
D) $60466176$
E) $1/36$

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