
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
Bus tickets have numbers ranging from 000001 to 999999. A number is considered lucky if the first three digits are odd and different from each other, and the last three digits are even, with 7 and 8 not standing next to each other. How many different lucky numbers are there?

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