
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
The digits from 1 to 9 are written in order so that the digit \( n \) is written \( n \) times, forming the block of digits \( 1223334444 \cdots 999999999 \). This block is written 100 times. Calculate the 1953rd digit written.

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