
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
Consider a  $1$ -indexed array that initially contains the integers  $1$  to  $10$  in increasing order.

The following action is performed repeatedly (any number of times):
```

def action():
    Choose an integer n between 1 and 10 inclusive
    Reverse the array between indices 1 and n inclusive
    Reverse the array between indices n+1 and 10 inclusive (If n = 10, we do nothing)

```
How many possible orders can the array have after we are done with this process?

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