
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 the picture, arrows mark the entrance and exit of a maze. Movement is allowed such that on this picture you can only move to the right, down, or up (turning back is not allowed). How many different paths can one take through this maze?

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