
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
How many sequences of 8 digits $x_1, x_2, \ldots, x_8$ can we form, given the condition that no two adjacent $x_i$ have the same parity, and $x_1$ must be odd? Leading zeroes are allowed.

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