
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 manufacturing a series of unique identification tags. Each tag has a sequence of five characters taken from the four letters in STEM and the four digits in 2023. No character may appear in a sequence more times than it appears among the four letters in STEM or the four digits in 2023. Count how many unique tags can be created if each possible sequence appears exactly once and find $\frac{N}{10}$, where $N$ is the total number of unique tags.

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