
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
Given line segments $a$, $b$, $c$, construct $\triangle ABC$ such that $BC=a$, $AC=b$, and $AB=c$. The steps are: ① Draw an arc with center at point $B$ and radius $c$; ② Connect $AB$ and $AC$; ③ Construct $BC=a$; ④ Draw an arc with center at point $C$ and radius $b$, the two arcs intersect at point $A$. The correct sequence of these steps is.

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