
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
Five judges gave scores to a gymnast. If the average score is 9.46 after removing the highest score, and the average score is 9.66 after removing the lowest score, then how much higher is the highest score compared to the lowest score?

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