
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 game of CodeCracker, players create secret codes by placing pegs of any of eight different colors into four distinct slots. Colors can be the same in more than one slot, and all slots must be filled. Calculate how many different secret codes can be formed.

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