
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
Dingding participated in an intelligence competition and answered a total of 30 questions. The scoring criteria for the questions are as follows: 5 points are awarded for each correct answer, and 1 point is deducted for each wrong answer or unanswered question. If Dingding's score needs to exceed 100 points in this competition, then he must answer at least ______ questions correctly.

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