
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 \( XYZ \) be an equilateral triangle, and let \( K, L, M \) be points on sides \( XY, YZ, ZX \), respectively, such that \( \frac{XK}{KY} = B \), \( \frac{YL}{LZ} = \frac{1}{C} \), and \( \frac{ZM}{MX} = 1 \). Determine the ratio of the area of triangle \( KLM \) to the area of triangle \( XYZ \).

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