
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
Let’s call a bus ticket with a six-digit number lucky if the sum of its digits is divisible by 7. Can two consecutive tickets both be lucky? If such tickets exist, please provide examples of their numbers.

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