
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
Paramon left point A for point B. At 12:00 PM, when he had traveled halfway to B, Agafon started running from A to B, and at the same time, Solomon started moving from B to A. At 1:20 PM, Agafon met Solomon, and at 2:00 PM, he caught up with Paramon. At what time did the meeting between Paramon and Solomon occur?

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