
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
Each block on a grid is 1 unit by 1 unit. Suppose we wish to walk from $A$ to $B$, which is now 9 units away by a path on the grid -- only horizontal and vertical paths are allowed. The grid is now larger at $6 \times 4$, and you must take a path of 9 units from $A$ (bottom left) to $B$ (top right). You need to include exactly 2 units of your path continuously horizontal at any part of your walk. How many different paths can you take?

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