
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
Jerry walked from the southwest corner to the northeast corner along the diagonal, which forms a right triangle with legs of length $2$ and $3$. Silvia walked from the northwest corner to the southeast corner along the diagonal, which forms a right triangle with legs of length $2$ and $3$ as well. What is the percentage difference in the lengths of their paths?

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