
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 point $A$ to point $B$ on a grid where two specific segments are forbidden? The grid is a rectangle of 10 columns and 3 rows. The forbidden segments are located in the 5th column from the top row to the second row, and from the second row to the first row.

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