
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
An ideal gas undergoes a thermodynamic cycle consisting of two isochoric processes and two adiabatic processes. The maximum temperature $T_{\max}=900 \mathrm{~K}$ and the minimum temperature $T_{\min}=350 \mathrm{~K}$ of the gas during the cycle are known, along with the cycle efficiency $\eta=0.4$. Determine the ratio of the final and initial absolute temperatures during the isochoric heating process.

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