
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
Given: $3^{1}=3$, $3^{2}=9$, $3^{3}=27$, $3^{4}=81$, $3^{5}=243$, $3^{6}=729\ldots$, let $A=2(3+1)(3^{2}+1)(3^{4}+1)+1$, then the units digit of $A$ is \_\_\_\_\_\_\_.

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