
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
Play a number game:

First step: Take a natural number n₁=5, calculate n₁²+1 to get a₁;

Second step: Calculate the sum of the digits of a₁ to get n₂, and then calculate n₂²+1 to get a₂;

Third step: Calculate the sum of the digits of a₂ to get n₃, and then calculate n₃²+1 to get a₃;

...

So on, then a₂₀₁₈ = _____.

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