
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
Create a six-digit number using the digits 1, 2, 3, 4, 5, and 6 without repetition, such that the digit 1 is not at either end. Additionally, out of the three even digits 2, 4, and 6, there must be exactly one pair of adjacent even digits. How many such six-digit numbers can be formed?

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