
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 the first-grade math competition at Zhi Cheng School, 2 people scored 100 points, 9 people scored between 90 and 99 points, 17 people scored between 80 and 89 points, 28 people scored between 70 and 79 points, 36 people scored between 60 and 69 points, 7 people scored between 50 and 59 points, and 1 person scored 48 points. The overall average score is between     points (minimum) and     points (maximum).

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