
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
Peter and Michael pitched their tents in a campsite. When Peter first goes to Michael's tent and then to the dining hall, he walks 20 meters more than if he went directly to the dining hall. When Michael first goes to Peter's tent and then to the dining hall, he walks 16 meters more than if he went directly to the dining hall. How many meters apart are their tents? Which one of them has a longer direct route to the dining hall? By how many meters?

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