
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
A sequence consists of the digits \(122333444455555 \ldots\) such that each positive integer \(n\) is repeated \(n\) times, in increasing order. Find the sum of the 4501st and 4052nd digits of this sequence.

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