
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
A person needs to travel from point $A$ to point $B$ on a grid. The grid has dimensions of 10 columns and 4 rows. However, there are forbidden segments in this journey: one segment is missing between columns 3 and 4 at the second row from the top, and another one is missing between columns 6 and 7 at the third row from the top. How many valid paths are there from $A$ to $B$, moving only south and east?

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