
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
The number 7 is raised to the seventh power, and the resulting number is raised to the seventh power again, and so on. This exponentiation is repeated 1000 times. What is the last digit of this number?

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