
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
Write the numbers \(1234567891011 \cdots \cdots 19941995\) on the blackboard to form the integer \(N_{1}\). Erase the digits at the even positions of \(N_{1}\). The remaining digits form the integer \(N_{2}\). Erase the digits at the odd positions of \(N_{2}\). The remaining digits form the integer \(N_{3}\). Erase the digits at the even positions of \(N_{3}\). The remaining digits form the integer \(N_{4}\). This process continues until only one digit remains on the blackboard. Determine this digit (Note: Counting positions from left to right, for example, in 12345, 1 is in the 1st position, 2 is in the 2nd position, and so on).

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