
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
After five judges scored a gymnast, the highest and lowest scores were removed, resulting in an average score of 9.58. When only the highest score was removed, the average was 9.46. When only the lowest score was removed, the average was 9.66. What is the difference between the highest and lowest scores given to this gymnast?

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