
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
In each cell of a chessboard, there is a knight. What is the minimum number of knights that should be removed from the board so that there is not a single knight left on the board that can attack exactly four other knights? (A knight attacks cells that are one square away horizontally and two squares vertically, or vice versa.)

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