
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 a board, game pieces are placed. In one move, you can shift any piece to an adjacent free cell vertically, horizontally, or diagonally (adjacent cells share a side or a corner).

What is the minimum number of moves required to arrange the pieces such that there are exactly 2 pieces in each row and each column, given that only one piece is allowed to be moved at a time?

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