
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
Numbers are written consecutively without spaces in increasing order: \(1234567891011 ...\). Which sequence of digits will appear earlier in the string: a sequence of exactly 2006 consecutive sixes (with non-sixes on both sides) or a sequence of exactly 2007 consecutive sevens (with non-sevens on both sides)?

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