
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 math competition, there are two sets of problems: Group A and Group B. For Group A, each problem is worth 8 points, with 8 points awarded for a correct answer and 0 points for an incorrect answer or no answer, totaling 5 problems. For Group B, each problem is worth 5 points, with 5 points awarded for a correct answer, 0 points for no answer, and -2 points deducted for an incorrect answer, totaling 12 problems. Xiao Yang scored 71 points and answered a total of $\boxed{\text{13}}$ problems correctly.

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