
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
A piece of music consisiting of three movements lasts for 60 minutes. No single movement is longer than the other two movements combined. The duration difference between any two movements is at least 3 minutes. What are the possible range limits for the duration of the shortest movement?

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