
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 five-digit number without repeated digits using the numbers 0, 3, 4, 5, and 6, with the condition that even numbers must be adjacent to each other, as well as odd numbers. How many such five-digit numbers exist?

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