
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
Observe the following equations: $9^2 = 10 \times 8 + 1$, $99^2 = 100 \times 98 + 1$, $999^2 = 1000 \times 998 + 1$... According to the pattern, write out the equation for $999999^2 = \quad$.

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