
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
With the same portion of the same gas, a process was performed twice, during which the temperature of the gas is directly proportional to the square of its volume. Find the ratio of the works done by the gas in these processes.

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