
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
Find the maximum possible number of kings on a  $12\times 12$  chess table so that each king attacks exactly one of the other kings (a king attacks only the squares that have a common point with the square he sits on).

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