
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 consecutive tickets must be purchased at a bus cashier to be sure to get a lucky one? A ticket is called lucky if the sum of its first three digits equals the sum of its last three digits. The number of tickets at the cashier is unlimited.

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