
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
Chess piece called *skew knight*, if placed on the black square, attacks all the gray squares. 

![Image](https://i.ibb.co/HdTDNjN/Kyiv-MO-2021-Round-1-11-2.png)

What is the largest number of such knights that can be placed on the  $8\times 8$  chessboard without them attacking each other?

*Proposed by Arsenii Nikolaiev*

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