
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
Laura throws six identical darts. Each dart hits one of five identical dartboards on the wall. As a condition, the number of darts on at least two boards must be the same. After throwing the six darts, Laura lists the number of darts that hit each board, from greatest to least. How many different lists are possible?

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