
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
We cover a $4 \times 4$ chessboard with dominoes without gaps and overlaps (exactly once). Each domino covers two adjacent squares. How many ways are there to cover the board? (Two coverings are not considered different if one can be transformed into the other by rotating or reflecting the board.)

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