
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
In a surgical department, there are 4 operating rooms: I, II, III, and IV. In the morning, all of them were empty. At some point, an operation started in operating room I, after some time in operating room II, then in III, and finally in IV.

All four operations finished simultaneously, with a total duration of 2 hours and 32 minutes. Thirty minutes before the completion of all operations, the total duration of the ongoing operations was 52 minutes, and 10 minutes before that, it was 30 minutes. Based on this data, which operating rooms' operation durations can be determined, and which cannot?

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