
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
Eight cards numbered $1$ through $8$ are to be placed in a row. Calculate the total number of ways to arrange these eight cards such that removing any one card results in the remaining seven cards being in either strictly ascending or strictly descending order.

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