
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 150-shot archery competition, Nora leads by 80 points after 75 shots. Each shot can score 10, 8, 5, 3, or 0 points. Nora always scores at least 5 points per shot. To ensure her victory, if Nora's next $n$ shots are all scoring 10 points each, calculate the minimum number of such shots required for her guaranteed victory.

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