
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
In $\triangle \mathrm{ABC}$, $\mathrm{M}$ is the midpoint of side $\mathrm{AB}$, and $\mathrm{N}$ is the trisection point of side $\mathrm{AC}$. $\mathrm{CM}$ and $\mathrm{BN}$ intersect at point K. If the area of $\triangle \mathrm{BCK}$ is equal to 1, then what is the area of $\triangle \mathrm{ABC}$?

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