
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 creating a special edition of access cards containing sequences of five characters from the letters in STEM and the digits in 2022. Each character may appear in a sequence no more times than it appears among the four letters in STEM or the four digits in 2022. A set of cards where each valid sequence appears exactly once contains $N$ access cards. Calculate $\frac{N}{10}$.

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