
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 launching a special edition of cards, each labeled with a sequence of five characters using the four letters from "LATE" and the digits from "0112". No character can appear more times in a sequence than it does in "LATE" and "0112". Calculate how many unique cards can be produced if each possible sequence appears exactly once and then find $\frac{N}{10}$, where $N$ is the total number of unique cards.

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