
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
Expedition member Professor Walkinholm has been tasked to survey a mountain from all sides at a given altitude. He needs to walk 100 miles around the mountain alone. The professor can walk 20 miles per day but can only carry enough food for two days. For convenience, each daily ration is packed in a sealed box. Each day, the professor travels 20 miles and consumes a daily ration. What is the minimum amount of time he could take to circle the mountain?

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