
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 variant of Mindmaster, secret codes are created by placing pegs of any of ten different colors into five slots. Colors may be repeated, but at least one slot must remain empty. How many secret codes are possible?

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