
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 now needs to place five identical, dotless dominoes (shaded 1 by 2 rectangles) on a 6 by 5 grid. He wishes to create a path from the upper left-hand corner $C$ to the lower right-hand corner $D$. In the path, consecutive dominoes must touch at their sides and not just at their corners. No domino may be placed diagonally; each domino must cover exactly two of the grid squares shown. Determine how many such distinct domino arrangements are possible.

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