
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
Suppose Ben throws five identical darts at five identical dartboards, and we want to know how many different sequences can be formed, listing the number of darts on each board from greatest to least. How many different lists are possible?

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