
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
On each square of a $9 \times 9$ board, there is a chip. At a certain signal, each chip jumps to one of the squares diagonally adjacent to the one it is currently on. Find the minimum number of empty squares after this movement.

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