
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 number \( 123456789101112 \cdots 19941995 \) on the blackboard to form an integer \( N_1 \). Erase the digits in the even positions of \( N_1 \) to form \( N_2 \). Then, erase the digits in the odd positions of \( N_2 \) to form \( N_3 \). Continue this process of erasing digits in even and odd positions alternately until only one digit remains on the blackboard. Determine this final digit. (Note: Positions are counted from left to right; for example, in \( 12345 \), \( 1 \) is in the first position, \( 2 \) is in the second position, and so on.) (Australian Mathematics Olympiad, 1995)

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