
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: A, B, C, and D. In the morning, they were all empty. At some point, an operation began in operating room A, after some time in operating room B, after some more time in C, and finally in D.

All four operations ended simultaneously, and their total duration was 3 hours and 5 minutes. For 36 minutes before the end of all operations, the total duration of the operations that had already begun was 46 minutes, and 10 minutes before that, it was 19 minutes. Based on these data, for which operating rooms can the durations of the operations be determined, and for which cannot they be determined?

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