
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
The judging panel for the Teen Singer Grand Prix consists of several judges. Each judge can award a maximum score of 10 points to a singer. After the first singer's performance, the following scoring situation was observed: The average score given by all judges was 9.64 points; if the highest score was removed, the average score given by the remaining judges was 9.60 points; if the lowest score was removed, the average score given by the remaining judges was 9.68 points. Therefore, the minimum possible lowest score given by the judges is $\qquad$ points, and the total number of judges in this Grand Prix is $\qquad$.

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