
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
A shopping center is conducting a promotional event with a prize giveaway: for every purchase of 100 yuan worth of goods, customers receive one lottery ticket, until 10,000 tickets have been given out (tickets are numbered from 0000 to 9999). According to the rules of the event, there are 10 first prizes among these 10,000 tickets, with the remaining tickets being other prize levels. The shopping center has decided that any ticket with the last three digits "418" will be a first prize ticket. What are the numbers of the first prize tickets?

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