
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 an updated letter and numeral grid, you are trying to spell "AMC9" starting from a central 'A'. You can move from one character to an adjacent character (directly up, down, left, or right, but not diagonal). Assuming there are 4 'M's reachable from the 'A', 3 'C's reachable from each 'M', and now 3 '9's reachable from each 'C', how many different paths can spell "AMC9"?

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