
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
In a 7x6 grid, how many 12 step paths are there from $A$ to $D$ which pass through $B$ and then $C$?
- A is at the top-left corner (0,5)
- B is at (3,3)
- C is at (4,1)
- D is at the bottom-right corner (6,0)

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