
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
Let $G$ be the centroid of triangle $ABC$, and let $s_1 = GA + GB + GC$. If $s_2 = AB + BC + CA$, determine the relationship between $s_1$ and $s_2$.

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