
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
To secure her victory irrefutably in a 120-shot archery contest, determine the number of Chelsea's remaining 60 shots that must be bullseyes, given that she is leading by 60 points after 60 shots and consistently scores at least 3 points on each shot, and assuming her lowest opponent's shot scores 1 point.

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