
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 a triangle \( ABC \). Points \( K \), \( L \), and \( M \) are placed on the plane such that triangles \( ABK \), \( LBC \), and \( AMC \) are congruent to \( ABC \). What inequality sign should be placed between the semiperimeter of triangle \( KLM \) and the perimeter of triangle \( ABC \)? Note that the vertices of the triangles are listed in arbitrary order; for instance, it cannot be assumed that point \( A \) corresponds to point \( L \) in the congruence of triangles \( ABK \) and \( LBC \).

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