
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
Matt will arrange five identical, dotless dominoes on a 6 by 5 grid to form a path from the upper left-hand corner $A$ to the lower right-hand corner $B$. As with the previous setup, consecutive dominoes must touch at their sides (not just at the corners) and no domino may be placed diagonally. Each domino covers exactly two of the unit squares shown on the grid. How many distinct paths from $A$ to $B$ can Matt create using all five dominoes?

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