
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 new arrangement of letters and numerals, one wants to spell "AMC10". Starting from an 'A' in the center, move only to adjacent letters (above, below, left, or right, but not diagonal) to spell out the sequence. Given that there are 4 'M’s around the central 'A', 4 'C’s next to each 'M', and now 5 '10’s reachable from each 'C', find the total number of different paths one can spell "AMC10".

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