
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
On a graph of function $g$, the points given are: $(0,8), (1,7), (2,6), (3,5), (4,4), (5,3), (6,2), (7,1), (8,0)$. Larry begins by writing the number 2 on his thumb. He then applies $g$ to this number and writes the output on the next finger. He continues this process of applying $g$ and recording the output. What number will Larry write on his eighth finger?

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