
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
Halfway through an 80-shot archery tournament, Jessica is in the lead with a 30-point advantage. In this tournament, a bullseye scores 10 points, and other possible scores are 8, 5, 2, and 0. Jessica always scores at least 2 points on each shot. How many of the next $n$ shots must be bullseyes for Jessica to be certain of victory?
A) 34
B) 35
C) 36
D) 37
E) 39

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