
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
Jill has five identical, dotless dominoes (shaded 1 by 2 rectangles) and plans to arrange them on a 6 by 4 grid. She wants to create a path from the upper left-hand corner $C$ to the lower righthand corner $D$. In her path, like in Matt's case, consecutive dominoes must touch at their sides and not just their corners, and no domino can be placed diagonally, each covering exactly two of the unit squares shown on the grid. How many distinct arrangements are possible for Jill?

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