
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 the strategy game "CodeMaster", secret codes are formed by placing pegs of any of eight different colors into five slots. Colors may be repeated, but no slot may remain empty. However, one color, black, is only allowed in the first two slots. How many different secret codes are possible?

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