
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
A company is designing a set of unique promotional codes. Each code consists of five characters from the six unique characters: A, B, C, 2, 0, 7. The characters '0' and '2' can appear at most twice in each sequence, and the letters A, B, C, and the digit 7 can appear at most once. Calculate the total number of unique promotional codes that can be created, and find the result divided by 10.

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