
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
Find the number of valid paths from point $A$ to point $B$ in a grid where certain paths are blocked. The grid consists of 7 columns and 4 rows. Moving is only allowed to the right or downward. There are two blocked paths: one between the cells at (3,3) to (3,2) and another from (5,4) to (5,3).

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