
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
Moving only south and east along the line segments, how many paths are there from \(A\) to \(B\) in a grid of size 11x4, where two segments in the middle of the grid are blocked? The grid is defined as follows:
\[ \text{Draw a grid of 11 columns and 4 rows. Block segments between (5,2) to (5,3) and (6,2) to (6,3).} \]

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