
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
On a paper strip, bus tickets with numbers from 000000 to 999999 are printed. Then, blue paint was used to mark those tickets where the sum of the digits in even positions is equal to the sum of the digits in odd positions. What will be the largest difference between the numbers of two consecutive blue tickets?

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