
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 certain math competition, there are two scoring methods:
1. For each correct answer, 5 points are awarded; for each incorrect answer, no points are given; for each unanswered question, 2 points are awarded.
2. Each participant starts with 39 points. For each correct answer, 3 points are awarded; for each incorrect answer, 1 point is deducted; for each unanswered question, no points are awarded.

A participant completed all questions and received 71 points using both scoring methods. How many questions did the participant leave unanswered?

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