
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
A small goat is tied with a rope of length 4.7 meters to a stake located on a flat meadow near an old tree. The trunk of the tree has the shape of a circular cylinder with a radius of 0.5 meters, and the shortest distance from the stake to the tree's surface is 1 meter.

Can the goat walk around the tree and approach the stake so that the end of the rope coincides with its beginning? Justify your answer.

Assume that the rope is in a taut position and lies on a horizontal plane.

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