
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
Frantisek Nudilek was writing consecutive natural numbers in the sequence: 1234567891011... At some point, he finished the number he was writing and noticed that there are five consecutive ones in the sequence of digits he wrote.

1. What is the minimum number of consecutive natural numbers Frantisek had to write?
2. What is the minimum number of digits Frantisek had to write?

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