
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
Math City and Physics City are located in different time zones. A flight departs from Physics City at 8 AM local time and arrives in Math City at 12 PM local time on the same day. The flight returns two hours later and arrives in Physics City at 8 PM local time, also on the same day. The duration of the journey is the same in both directions. What time is it in Physics City when it is 12 PM in Math City?

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