
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 four fingers (not the thumb) of one hand. The order of rings on each finger is significant. No finger should carry more than two rings. Find the leftmost three nonzero digits of \( m \).

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