
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
Given ten distinguishable rings, let $m$ be the number of possible six-ring arrangements on the five fingers (not the thumb) of one hand. The order of rings on each finger is significant, and no finger can have more than three rings. Find the number $m$.

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