
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
In a 200-shot archery tournament, halfway through, Chelsea leads by 70 points. For each shot, a bullseye scores 10 points, with other possible scores being 9, 5, 3, and 1 point. Chelsea always scores at least 5 points on each shot. If Chelsea's next $n$ shots are bullseyes, she will be guaranteed victory, assuming that from this point her opponent's lowest score per shot is 3 points. What is the minimum value for $n$?
A) 85
B) 86
C) 87
D) 88
E) 89

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