
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, there are placed pieces. In one move, any piece can be moved to an adjacent free cell either vertically, horizontally, or diagonally (adjacent cells share a side or a corner).

What is the minimum number of moves needed to ensure that there are exactly 2 pieces in each row and each column, given that only one piece can be moved per move (i.e., you cannot move one piece in the first move and another piece in the second move)?

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